1546683941.229 * [misc]progress: [Phase 1 of 3] Setting up. 1546683941.229 * * * [misc]progress: [1/2] Preparing points 1546683941.229 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546683941.294 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.294 * * * * [misc]points: Sampling 195 additional inputs, on iter 1 have 61 / 256 1546683941.341 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.342 * * * * [misc]points: Sampling 142 additional inputs, on iter 2 have 114 / 256 1546683941.362 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.362 * * * * [misc]points: Sampling 103 additional inputs, on iter 3 have 153 / 256 1546683941.378 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.378 * * * * [misc]points: Sampling 73 additional inputs, on iter 4 have 183 / 256 1546683941.390 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.390 * * * * [misc]points: Sampling 57 additional inputs, on iter 5 have 199 / 256 1546683941.401 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.401 * * * * [misc]points: Sampling 48 additional inputs, on iter 6 have 208 / 256 1546683941.410 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.410 * * * * [misc]points: Sampling 39 additional inputs, on iter 7 have 217 / 256 1546683941.421 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.421 * * * * [misc]points: Sampling 26 additional inputs, on iter 8 have 230 / 256 1546683941.452 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.452 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1546683941.460 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.460 * * * * [misc]points: Sampling 20 additional inputs, on iter 10 have 236 / 256 1546683941.467 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.467 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1546683941.472 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.472 * * * * [misc]points: Sampling 10 additional inputs, on iter 12 have 246 / 256 1546683941.478 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.478 * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 1546683941.487 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.487 * * * * [misc]points: Sampling 8 additional inputs, on iter 14 have 248 / 256 1546683941.496 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.496 * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 1546683941.504 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.504 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1546683941.511 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.512 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1546683941.519 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.519 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 1546683941.526 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.526 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 254 / 256 1546683941.534 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.534 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1546683941.541 * * * * [misc]points: Filtering points with unrepresentable outputs 1546683941.541 * * * * [exit]points: Sampled 256 points with exact outputs 1546683941.541 * * * [misc]progress: [2/2] Setting up program. 1546683941.547 * [misc]progress: [Phase 2 of 3] Improving. 1546683941.547 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546683941.548 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546683941.548 * * [misc]simplify: iters left: 6 (13 enodes) 1546683941.553 * * [misc]simplify: iters left: 5 (28 enodes) 1546683941.560 * * [misc]simplify: iters left: 4 (44 enodes) 1546683941.573 * * [misc]simplify: iters left: 3 (54 enodes) 1546683941.607 * * [misc]simplify: iters left: 2 (57 enodes) 1546683941.615 * * [misc]simplify: iters left: 1 (65 enodes) 1546683941.625 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546683941.625 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546683941.632 * * [misc]progress: iteration 1 / 4 1546683941.632 * * * [misc]progress: picking best candidate 1546683941.637 * * * * [misc]pick: Picked # 1546683941.637 * * * [misc]progress: localizing error 1546683941.677 * * * [misc]progress: generating rewritten candidates 1546683941.677 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546683941.681 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546683941.683 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546683941.694 * * * [misc]progress: generating series expansions 1546683941.694 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546683941.694 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546683941.694 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546683941.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683941.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.695 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.695 * [misc]taylor: Taking taylor expansion of k in k 1546683941.695 * [misc]backup-simplify: Simplify 0 into 0 1546683941.695 * [misc]backup-simplify: Simplify 1 into 1 1546683941.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of 2 in k 1546683941.695 * [misc]backup-simplify: Simplify 2 into 2 1546683941.695 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683941.695 * [misc]taylor: Taking taylor expansion of n in k 1546683941.695 * [misc]backup-simplify: Simplify n into n 1546683941.695 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.695 * [misc]backup-simplify: Simplify PI into PI 1546683941.695 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683941.695 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683941.695 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683941.696 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683941.696 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.696 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683941.696 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683941.696 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683941.696 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683941.696 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683941.696 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683941.696 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683941.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.696 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683941.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.696 * [misc]taylor: Taking taylor expansion of k in n 1546683941.696 * [misc]backup-simplify: Simplify k into k 1546683941.696 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683941.697 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683941.697 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.697 * [misc]backup-simplify: Simplify 2 into 2 1546683941.697 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683941.697 * [misc]taylor: Taking taylor expansion of n in n 1546683941.697 * [misc]backup-simplify: Simplify 0 into 0 1546683941.697 * [misc]backup-simplify: Simplify 1 into 1 1546683941.697 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.697 * [misc]backup-simplify: Simplify PI into PI 1546683941.697 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683941.697 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683941.698 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683941.699 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683941.699 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.699 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683941.699 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683941.699 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683941.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.701 * [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)))) 1546683941.701 * [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))))) 1546683941.701 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683941.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683941.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683941.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683941.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683941.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.701 * [misc]taylor: Taking taylor expansion of k in n 1546683941.701 * [misc]backup-simplify: Simplify k into k 1546683941.701 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683941.701 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683941.702 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.702 * [misc]backup-simplify: Simplify 2 into 2 1546683941.702 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683941.702 * [misc]taylor: Taking taylor expansion of n in n 1546683941.702 * [misc]backup-simplify: Simplify 0 into 0 1546683941.702 * [misc]backup-simplify: Simplify 1 into 1 1546683941.702 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.702 * [misc]backup-simplify: Simplify PI into PI 1546683941.702 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683941.702 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683941.703 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683941.703 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683941.704 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.704 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683941.704 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683941.704 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683941.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.705 * [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)))) 1546683941.706 * [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))))) 1546683941.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546683941.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546683941.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683941.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.706 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683941.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.706 * [misc]taylor: Taking taylor expansion of k in k 1546683941.706 * [misc]backup-simplify: Simplify 0 into 0 1546683941.706 * [misc]backup-simplify: Simplify 1 into 1 1546683941.706 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546683941.707 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683941.707 * [misc]taylor: Taking taylor expansion of n in k 1546683941.707 * [misc]backup-simplify: Simplify n into n 1546683941.707 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683941.707 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683941.707 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683941.707 * [misc]taylor: Taking taylor expansion of 2 in k 1546683941.707 * [misc]backup-simplify: Simplify 2 into 2 1546683941.707 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.707 * [misc]backup-simplify: Simplify PI into PI 1546683941.707 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.707 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.708 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683941.708 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.708 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683941.708 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.709 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546683941.710 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683941.710 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683941.711 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683941.712 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683941.715 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683941.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546683941.715 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.716 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.717 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546683941.719 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683941.719 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.719 * [misc]backup-simplify: Simplify 0 into 0 1546683941.719 * [misc]backup-simplify: Simplify 0 into 0 1546683941.719 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546683941.720 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683941.731 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683941.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.731 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683941.732 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683941.732 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683941.733 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546683941.734 * [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))))))) 1546683941.736 * [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))))))) 1546683941.737 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.739 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683941.744 * [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 1546683941.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546683941.744 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.744 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.745 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.746 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683941.748 * [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 1546683941.748 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.748 * [misc]backup-simplify: Simplify 0 into 0 1546683941.748 * [misc]backup-simplify: Simplify 0 into 0 1546683941.748 * [misc]backup-simplify: Simplify 0 into 0 1546683941.750 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546683941.751 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683941.756 * [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 1546683941.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.756 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683941.756 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.757 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683941.760 * [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))))) 1546683941.762 * [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))))) 1546683941.768 * [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))))) 1546683941.768 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546683941.768 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546683941.768 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683941.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.769 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of k in k 1546683941.769 * [misc]backup-simplify: Simplify 0 into 0 1546683941.769 * [misc]backup-simplify: Simplify 1 into 1 1546683941.769 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683941.769 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of 2 in k 1546683941.769 * [misc]backup-simplify: Simplify 2 into 2 1546683941.769 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683941.769 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.769 * [misc]backup-simplify: Simplify PI into PI 1546683941.769 * [misc]taylor: Taking taylor expansion of n in k 1546683941.769 * [misc]backup-simplify: Simplify n into n 1546683941.769 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683941.769 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683941.770 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683941.770 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683941.770 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683941.770 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683941.770 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683941.771 * [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)))) 1546683941.771 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of k in n 1546683941.771 * [misc]backup-simplify: Simplify k into k 1546683941.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683941.771 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.771 * [misc]backup-simplify: Simplify 2 into 2 1546683941.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.771 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.771 * [misc]backup-simplify: Simplify PI into PI 1546683941.771 * [misc]taylor: Taking taylor expansion of n in n 1546683941.771 * [misc]backup-simplify: Simplify 0 into 0 1546683941.771 * [misc]backup-simplify: Simplify 1 into 1 1546683941.772 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.772 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.773 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.773 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683941.773 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683941.773 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683941.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683941.774 * [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))) 1546683941.775 * [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)))) 1546683941.775 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of k in n 1546683941.775 * [misc]backup-simplify: Simplify k into k 1546683941.775 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683941.775 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.775 * [misc]backup-simplify: Simplify 2 into 2 1546683941.775 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.775 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.775 * [misc]backup-simplify: Simplify PI into PI 1546683941.775 * [misc]taylor: Taking taylor expansion of n in n 1546683941.775 * [misc]backup-simplify: Simplify 0 into 0 1546683941.775 * [misc]backup-simplify: Simplify 1 into 1 1546683941.776 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.776 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.776 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.777 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683941.777 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683941.777 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683941.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683941.778 * [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))) 1546683941.779 * [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)))) 1546683941.779 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546683941.779 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546683941.779 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683941.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683941.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683941.779 * [misc]taylor: Taking taylor expansion of k in k 1546683941.779 * [misc]backup-simplify: Simplify 0 into 0 1546683941.779 * [misc]backup-simplify: Simplify 1 into 1 1546683941.779 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683941.779 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546683941.780 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683941.780 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683941.780 * [misc]taylor: Taking taylor expansion of 2 in k 1546683941.780 * [misc]backup-simplify: Simplify 2 into 2 1546683941.780 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.780 * [misc]backup-simplify: Simplify PI into PI 1546683941.780 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.780 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.780 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683941.780 * [misc]taylor: Taking taylor expansion of n in k 1546683941.780 * [misc]backup-simplify: Simplify n into n 1546683941.781 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683941.781 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683941.781 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683941.781 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683941.781 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683941.782 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546683941.782 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546683941.783 * [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)))) 1546683941.783 * [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)))) 1546683941.785 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683941.785 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683941.788 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683941.789 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683941.789 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683941.789 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.789 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.790 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683941.790 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683941.792 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683941.792 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.792 * [misc]backup-simplify: Simplify 0 into 0 1546683941.792 * [misc]backup-simplify: Simplify 0 into 0 1546683941.792 * [misc]backup-simplify: Simplify 0 into 0 1546683941.794 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.795 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683941.799 * [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 1546683941.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683941.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683941.800 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.801 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683941.802 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546683941.804 * [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 1546683941.804 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.804 * [misc]backup-simplify: Simplify 0 into 0 1546683941.804 * [misc]backup-simplify: Simplify 0 into 0 1546683941.804 * [misc]backup-simplify: Simplify 0 into 0 1546683941.804 * [misc]backup-simplify: Simplify 0 into 0 1546683941.806 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.815 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546683941.815 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683941.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683941.816 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683941.817 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546683941.820 * [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 1546683941.820 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.820 * [misc]backup-simplify: Simplify 0 into 0 1546683941.820 * [misc]backup-simplify: Simplify 0 into 0 1546683941.821 * [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))))) 1546683941.821 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683941.821 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546683941.821 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of k in k 1546683941.821 * [misc]backup-simplify: Simplify 0 into 0 1546683941.821 * [misc]backup-simplify: Simplify 1 into 1 1546683941.821 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683941.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.821 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683941.821 * [misc]taylor: Taking taylor expansion of -2 in k 1546683941.821 * [misc]backup-simplify: Simplify -2 into -2 1546683941.822 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683941.822 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.822 * [misc]backup-simplify: Simplify PI into PI 1546683941.822 * [misc]taylor: Taking taylor expansion of n in k 1546683941.822 * [misc]backup-simplify: Simplify n into n 1546683941.822 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683941.822 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683941.822 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683941.822 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683941.822 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683941.822 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683941.822 * [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))) 1546683941.822 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.822 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of k in n 1546683941.822 * [misc]backup-simplify: Simplify k into k 1546683941.822 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683941.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.822 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of -2 in n 1546683941.822 * [misc]backup-simplify: Simplify -2 into -2 1546683941.822 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.822 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.822 * [misc]backup-simplify: Simplify PI into PI 1546683941.822 * [misc]taylor: Taking taylor expansion of n in n 1546683941.823 * [misc]backup-simplify: Simplify 0 into 0 1546683941.823 * [misc]backup-simplify: Simplify 1 into 1 1546683941.823 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.823 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683941.823 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683941.823 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683941.823 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683941.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683941.824 * [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))) 1546683941.825 * [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)))) 1546683941.825 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of k in n 1546683941.825 * [misc]backup-simplify: Simplify k into k 1546683941.825 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683941.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.825 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of -2 in n 1546683941.825 * [misc]backup-simplify: Simplify -2 into -2 1546683941.825 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.825 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.825 * [misc]backup-simplify: Simplify PI into PI 1546683941.825 * [misc]taylor: Taking taylor expansion of n in n 1546683941.825 * [misc]backup-simplify: Simplify 0 into 0 1546683941.825 * [misc]backup-simplify: Simplify 1 into 1 1546683941.825 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.825 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683941.826 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683941.826 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683941.826 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683941.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683941.826 * [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))) 1546683941.827 * [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)))) 1546683941.827 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.827 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of k in k 1546683941.827 * [misc]backup-simplify: Simplify 0 into 0 1546683941.827 * [misc]backup-simplify: Simplify 1 into 1 1546683941.827 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683941.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.827 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546683941.827 * [misc]taylor: Taking taylor expansion of -2 in k 1546683941.828 * [misc]backup-simplify: Simplify -2 into -2 1546683941.828 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.828 * [misc]backup-simplify: Simplify PI into PI 1546683941.828 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683941.828 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683941.828 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683941.828 * [misc]taylor: Taking taylor expansion of n in k 1546683941.828 * [misc]backup-simplify: Simplify n into n 1546683941.828 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683941.828 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683941.828 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683941.829 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683941.829 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546683941.829 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546683941.830 * [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)))) 1546683941.830 * [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)))) 1546683941.831 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683941.831 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683941.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683941.833 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683941.833 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683941.833 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683941.834 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546683941.835 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683941.835 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.835 * [misc]backup-simplify: Simplify 0 into 0 1546683941.835 * [misc]backup-simplify: Simplify 0 into 0 1546683941.835 * [misc]backup-simplify: Simplify 0 into 0 1546683941.836 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.837 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683941.840 * [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 1546683941.840 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683941.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683941.840 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683941.841 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546683941.843 * [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 1546683941.843 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.843 * [misc]backup-simplify: Simplify 0 into 0 1546683941.843 * [misc]backup-simplify: Simplify 0 into 0 1546683941.843 * [misc]backup-simplify: Simplify 0 into 0 1546683941.843 * [misc]backup-simplify: Simplify 0 into 0 1546683941.844 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.846 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.854 * [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 1546683941.854 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683941.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683941.855 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683941.856 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546683941.860 * [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 1546683941.860 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.860 * [misc]backup-simplify: Simplify 0 into 0 1546683941.860 * [misc]backup-simplify: Simplify 0 into 0 1546683941.861 * [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))))) 1546683941.861 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546683941.861 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546683941.861 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546683941.861 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683941.861 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.861 * [misc]backup-simplify: Simplify 2 into 2 1546683941.861 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683941.861 * [misc]taylor: Taking taylor expansion of n in n 1546683941.861 * [misc]backup-simplify: Simplify 0 into 0 1546683941.861 * [misc]backup-simplify: Simplify 1 into 1 1546683941.861 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.861 * [misc]backup-simplify: Simplify PI into PI 1546683941.861 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683941.861 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.862 * [misc]backup-simplify: Simplify 2 into 2 1546683941.862 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683941.862 * [misc]taylor: Taking taylor expansion of n in n 1546683941.862 * [misc]backup-simplify: Simplify 0 into 0 1546683941.862 * [misc]backup-simplify: Simplify 1 into 1 1546683941.862 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.862 * [misc]backup-simplify: Simplify PI into PI 1546683941.862 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683941.862 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683941.862 * [misc]backup-simplify: Simplify 0 into 0 1546683941.863 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683941.864 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683941.864 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.865 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683941.866 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683941.866 * [misc]backup-simplify: Simplify 0 into 0 1546683941.867 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683941.869 * [misc]backup-simplify: Simplify 0 into 0 1546683941.871 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683941.873 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546683941.873 * [misc]backup-simplify: Simplify 0 into 0 1546683941.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683941.877 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546683941.877 * [misc]backup-simplify: Simplify 0 into 0 1546683941.880 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683941.882 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546683941.882 * [misc]backup-simplify: Simplify 0 into 0 1546683941.885 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546683941.887 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546683941.887 * [misc]backup-simplify: Simplify 0 into 0 1546683941.887 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546683941.887 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546683941.887 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546683941.888 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683941.888 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.888 * [misc]backup-simplify: Simplify 2 into 2 1546683941.888 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.888 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.888 * [misc]backup-simplify: Simplify PI into PI 1546683941.888 * [misc]taylor: Taking taylor expansion of n in n 1546683941.888 * [misc]backup-simplify: Simplify 0 into 0 1546683941.888 * [misc]backup-simplify: Simplify 1 into 1 1546683941.888 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.888 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683941.888 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.888 * [misc]backup-simplify: Simplify 2 into 2 1546683941.888 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.888 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.888 * [misc]backup-simplify: Simplify PI into PI 1546683941.888 * [misc]taylor: Taking taylor expansion of n in n 1546683941.888 * [misc]backup-simplify: Simplify 0 into 0 1546683941.888 * [misc]backup-simplify: Simplify 1 into 1 1546683941.888 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.888 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.889 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.890 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683941.890 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683941.890 * [misc]backup-simplify: Simplify 0 into 0 1546683941.891 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.891 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683941.891 * [misc]backup-simplify: Simplify 0 into 0 1546683941.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.893 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.893 * [misc]backup-simplify: Simplify 0 into 0 1546683941.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.896 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683941.896 * [misc]backup-simplify: Simplify 0 into 0 1546683941.897 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.898 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683941.899 * [misc]backup-simplify: Simplify 0 into 0 1546683941.900 * [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 1546683941.902 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683941.902 * [misc]backup-simplify: Simplify 0 into 0 1546683941.902 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546683941.902 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546683941.902 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546683941.902 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683941.902 * [misc]taylor: Taking taylor expansion of -2 in n 1546683941.902 * [misc]backup-simplify: Simplify -2 into -2 1546683941.902 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.902 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.902 * [misc]backup-simplify: Simplify PI into PI 1546683941.902 * [misc]taylor: Taking taylor expansion of n in n 1546683941.902 * [misc]backup-simplify: Simplify 0 into 0 1546683941.902 * [misc]backup-simplify: Simplify 1 into 1 1546683941.903 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.903 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683941.903 * [misc]taylor: Taking taylor expansion of -2 in n 1546683941.903 * [misc]backup-simplify: Simplify -2 into -2 1546683941.903 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683941.903 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.903 * [misc]backup-simplify: Simplify PI into PI 1546683941.903 * [misc]taylor: Taking taylor expansion of n in n 1546683941.903 * [misc]backup-simplify: Simplify 0 into 0 1546683941.903 * [misc]backup-simplify: Simplify 1 into 1 1546683941.903 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683941.903 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683941.904 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683941.905 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683941.905 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683941.905 * [misc]backup-simplify: Simplify 0 into 0 1546683941.907 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.908 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683941.908 * [misc]backup-simplify: Simplify 0 into 0 1546683941.909 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.911 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.911 * [misc]backup-simplify: Simplify 0 into 0 1546683941.913 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.915 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683941.915 * [misc]backup-simplify: Simplify 0 into 0 1546683941.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.920 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683941.920 * [misc]backup-simplify: Simplify 0 into 0 1546683941.923 * [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 1546683941.926 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683941.926 * [misc]backup-simplify: Simplify 0 into 0 1546683941.927 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546683941.927 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546683941.927 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546683941.927 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546683941.927 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546683941.927 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683941.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683941.927 * [misc]taylor: Taking taylor expansion of k in k 1546683941.927 * [misc]backup-simplify: Simplify 0 into 0 1546683941.927 * [misc]backup-simplify: Simplify 1 into 1 1546683941.927 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683941.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683941.928 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683941.928 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.928 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.928 * [misc]taylor: Taking taylor expansion of k in k 1546683941.928 * [misc]backup-simplify: Simplify 0 into 0 1546683941.928 * [misc]backup-simplify: Simplify 1 into 1 1546683941.928 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of 2 in k 1546683941.928 * [misc]backup-simplify: Simplify 2 into 2 1546683941.928 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683941.928 * [misc]taylor: Taking taylor expansion of n in k 1546683941.928 * [misc]backup-simplify: Simplify n into n 1546683941.928 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.928 * [misc]backup-simplify: Simplify PI into PI 1546683941.929 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683941.929 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683941.929 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683941.929 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683941.929 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.929 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683941.929 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683941.929 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683941.929 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546683941.929 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683941.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683941.929 * [misc]taylor: Taking taylor expansion of k in n 1546683941.929 * [misc]backup-simplify: Simplify k into k 1546683941.929 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683941.929 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683941.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683941.929 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683941.929 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.930 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.930 * [misc]taylor: Taking taylor expansion of k in n 1546683941.930 * [misc]backup-simplify: Simplify k into k 1546683941.930 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.930 * [misc]backup-simplify: Simplify 2 into 2 1546683941.930 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683941.930 * [misc]taylor: Taking taylor expansion of n in n 1546683941.930 * [misc]backup-simplify: Simplify 0 into 0 1546683941.930 * [misc]backup-simplify: Simplify 1 into 1 1546683941.930 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.930 * [misc]backup-simplify: Simplify PI into PI 1546683941.930 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683941.930 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683941.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683941.931 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683941.931 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.931 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683941.931 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683941.931 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683941.932 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.932 * [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)))) 1546683941.933 * [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))))) 1546683941.933 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of k in n 1546683941.933 * [misc]backup-simplify: Simplify k into k 1546683941.933 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683941.933 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683941.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683941.933 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683941.933 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.933 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683941.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.933 * [misc]taylor: Taking taylor expansion of k in n 1546683941.933 * [misc]backup-simplify: Simplify k into k 1546683941.933 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of 2 in n 1546683941.933 * [misc]backup-simplify: Simplify 2 into 2 1546683941.933 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683941.933 * [misc]taylor: Taking taylor expansion of n in n 1546683941.933 * [misc]backup-simplify: Simplify 0 into 0 1546683941.933 * [misc]backup-simplify: Simplify 1 into 1 1546683941.933 * [misc]taylor: Taking taylor expansion of PI in n 1546683941.933 * [misc]backup-simplify: Simplify PI into PI 1546683941.933 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683941.933 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683941.934 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683941.934 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683941.935 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.935 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683941.935 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683941.935 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683941.935 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.935 * [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)))) 1546683941.936 * [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))))) 1546683941.936 * [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))) 1546683941.936 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546683941.936 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546683941.936 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546683941.936 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683941.936 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.936 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683941.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683941.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683941.937 * [misc]taylor: Taking taylor expansion of k in k 1546683941.937 * [misc]backup-simplify: Simplify 0 into 0 1546683941.937 * [misc]backup-simplify: Simplify 1 into 1 1546683941.937 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546683941.937 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683941.937 * [misc]taylor: Taking taylor expansion of n in k 1546683941.937 * [misc]backup-simplify: Simplify n into n 1546683941.937 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683941.937 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683941.937 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683941.937 * [misc]taylor: Taking taylor expansion of 2 in k 1546683941.937 * [misc]backup-simplify: Simplify 2 into 2 1546683941.937 * [misc]taylor: Taking taylor expansion of PI in k 1546683941.937 * [misc]backup-simplify: Simplify PI into PI 1546683941.937 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683941.937 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683941.937 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683941.937 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.938 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683941.938 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.938 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546683941.939 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683941.939 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683941.939 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683941.939 * [misc]taylor: Taking taylor expansion of k in k 1546683941.939 * [misc]backup-simplify: Simplify 0 into 0 1546683941.939 * [misc]backup-simplify: Simplify 1 into 1 1546683941.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683941.939 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683941.939 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683941.939 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546683941.940 * [misc]backup-simplify: Simplify 0 into 0 1546683941.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683941.941 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683941.943 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683941.943 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546683941.943 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.943 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.944 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546683941.945 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683941.945 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546683941.945 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.945 * [misc]backup-simplify: Simplify 0 into 0 1546683941.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546683941.946 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683941.948 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683941.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.948 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683941.948 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683941.948 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683941.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546683941.950 * [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))))))) 1546683941.951 * [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))))))) 1546683941.951 * [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))))))) 1546683941.952 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683941.953 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683941.957 * [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 1546683941.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546683941.958 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.958 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.959 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683941.962 * [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 1546683941.962 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683941.963 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546683941.964 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546683941.964 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.964 * [misc]backup-simplify: Simplify 0 into 0 1546683941.964 * [misc]backup-simplify: Simplify 0 into 0 1546683941.964 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683941.966 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683941.967 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546683941.968 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683941.973 * [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 1546683941.973 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.973 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683941.973 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.973 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683941.975 * [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))))) 1546683941.978 * [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)))))))) 1546683941.979 * [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)))))))) 1546683941.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683941.982 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546683941.987 * [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 1546683941.987 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546683941.987 * [misc]backup-simplify: Simplify (- 0) into 0 1546683941.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683941.988 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683941.988 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546683941.991 * [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 1546683941.991 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683941.991 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546683941.992 * [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 1546683941.992 * [misc]taylor: Taking taylor expansion of 0 in k 1546683941.992 * [misc]backup-simplify: Simplify 0 into 0 1546683941.992 * [misc]backup-simplify: Simplify 0 into 0 1546683941.992 * [misc]backup-simplify: Simplify 0 into 0 1546683941.992 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683941.993 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683941.995 * [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 1546683941.996 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683942.001 * [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 1546683942.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.001 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546683942.001 * [misc]backup-simplify: Simplify (- 0) into 0 1546683942.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546683942.005 * [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))))))) 1546683942.013 * [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)))))))))))))) 1546683942.019 * [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)))))))))))))) 1546683942.030 * [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)))))))))))))))))))))) 1546683942.031 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546683942.031 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546683942.031 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683942.031 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683942.031 * [misc]taylor: Taking taylor expansion of k in k 1546683942.031 * [misc]backup-simplify: Simplify 0 into 0 1546683942.031 * [misc]backup-simplify: Simplify 1 into 1 1546683942.031 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683942.032 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683942.032 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.032 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.032 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of k in k 1546683942.032 * [misc]backup-simplify: Simplify 0 into 0 1546683942.032 * [misc]backup-simplify: Simplify 1 into 1 1546683942.032 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683942.032 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683942.032 * [misc]taylor: Taking taylor expansion of 2 in k 1546683942.032 * [misc]backup-simplify: Simplify 2 into 2 1546683942.033 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683942.033 * [misc]taylor: Taking taylor expansion of PI in k 1546683942.033 * [misc]backup-simplify: Simplify PI into PI 1546683942.033 * [misc]taylor: Taking taylor expansion of n in k 1546683942.033 * [misc]backup-simplify: Simplify n into n 1546683942.033 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683942.033 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683942.033 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683942.033 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683942.033 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683942.033 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683942.033 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683942.034 * [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)))) 1546683942.034 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of k in n 1546683942.034 * [misc]backup-simplify: Simplify k into k 1546683942.034 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683942.034 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683942.034 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.034 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.034 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of k in n 1546683942.034 * [misc]backup-simplify: Simplify k into k 1546683942.034 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683942.034 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683942.034 * [misc]taylor: Taking taylor expansion of 2 in n 1546683942.034 * [misc]backup-simplify: Simplify 2 into 2 1546683942.034 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683942.035 * [misc]taylor: Taking taylor expansion of PI in n 1546683942.035 * [misc]backup-simplify: Simplify PI into PI 1546683942.035 * [misc]taylor: Taking taylor expansion of n in n 1546683942.035 * [misc]backup-simplify: Simplify 0 into 0 1546683942.035 * [misc]backup-simplify: Simplify 1 into 1 1546683942.035 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683942.035 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683942.036 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683942.036 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683942.036 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683942.036 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683942.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683942.037 * [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))) 1546683942.038 * [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)))) 1546683942.038 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of k in n 1546683942.038 * [misc]backup-simplify: Simplify k into k 1546683942.038 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683942.038 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683942.038 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.038 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683942.038 * [misc]taylor: Taking taylor expansion of k in n 1546683942.038 * [misc]backup-simplify: Simplify k into k 1546683942.038 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683942.039 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683942.039 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683942.039 * [misc]taylor: Taking taylor expansion of 2 in n 1546683942.039 * [misc]backup-simplify: Simplify 2 into 2 1546683942.039 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683942.039 * [misc]taylor: Taking taylor expansion of PI in n 1546683942.039 * [misc]backup-simplify: Simplify PI into PI 1546683942.039 * [misc]taylor: Taking taylor expansion of n in n 1546683942.039 * [misc]backup-simplify: Simplify 0 into 0 1546683942.039 * [misc]backup-simplify: Simplify 1 into 1 1546683942.039 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683942.039 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683942.040 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683942.040 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683942.040 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683942.040 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683942.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683942.042 * [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))) 1546683942.042 * [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)))) 1546683942.043 * [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)) 1546683942.043 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.043 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.043 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of k in k 1546683942.043 * [misc]backup-simplify: Simplify 0 into 0 1546683942.043 * [misc]backup-simplify: Simplify 1 into 1 1546683942.043 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683942.043 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683942.043 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683942.044 * [misc]taylor: Taking taylor expansion of 2 in k 1546683942.044 * [misc]backup-simplify: Simplify 2 into 2 1546683942.044 * [misc]taylor: Taking taylor expansion of PI in k 1546683942.044 * [misc]backup-simplify: Simplify PI into PI 1546683942.044 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683942.044 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683942.044 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683942.044 * [misc]taylor: Taking taylor expansion of n in k 1546683942.044 * [misc]backup-simplify: Simplify n into n 1546683942.044 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683942.044 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683942.044 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683942.044 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683942.044 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683942.045 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546683942.045 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546683942.045 * [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)))) 1546683942.046 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683942.046 * [misc]taylor: Taking taylor expansion of k in k 1546683942.046 * [misc]backup-simplify: Simplify 0 into 0 1546683942.046 * [misc]backup-simplify: Simplify 1 into 1 1546683942.046 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683942.046 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683942.046 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546683942.046 * [misc]backup-simplify: Simplify 0 into 0 1546683942.047 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683942.047 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683942.049 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683942.049 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683942.049 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683942.049 * [misc]backup-simplify: Simplify (- 0) into 0 1546683942.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.050 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683942.050 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683942.051 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683942.052 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546683942.052 * [misc]taylor: Taking taylor expansion of 0 in k 1546683942.052 * [misc]backup-simplify: Simplify 0 into 0 1546683942.052 * [misc]backup-simplify: Simplify 0 into 0 1546683942.052 * [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)))))) 1546683942.053 * [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)))))) 1546683942.054 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683942.054 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683942.057 * [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 1546683942.057 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683942.057 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683942.058 * [misc]backup-simplify: Simplify (- 0) into 0 1546683942.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683942.059 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546683942.060 * [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 1546683942.060 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546683942.061 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546683942.061 * [misc]taylor: Taking taylor expansion of 0 in k 1546683942.061 * [misc]backup-simplify: Simplify 0 into 0 1546683942.061 * [misc]backup-simplify: Simplify 0 into 0 1546683942.061 * [misc]backup-simplify: Simplify 0 into 0 1546683942.062 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683942.062 * [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)))))) 1546683942.063 * [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)))))) 1546683942.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683942.065 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683942.069 * [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 1546683942.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683942.070 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683942.070 * [misc]backup-simplify: Simplify (- 0) into 0 1546683942.070 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683942.071 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546683942.075 * [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 1546683942.075 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546683942.076 * [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 1546683942.076 * [misc]taylor: Taking taylor expansion of 0 in k 1546683942.076 * [misc]backup-simplify: Simplify 0 into 0 1546683942.076 * [misc]backup-simplify: Simplify 0 into 0 1546683942.076 * [misc]backup-simplify: Simplify 0 into 0 1546683942.076 * [misc]backup-simplify: Simplify 0 into 0 1546683942.078 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683942.079 * [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)))))) 1546683942.079 * [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)))))) 1546683942.082 * [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)))))))) 1546683942.082 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546683942.082 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546683942.083 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of k in k 1546683942.083 * [misc]backup-simplify: Simplify 0 into 0 1546683942.083 * [misc]backup-simplify: Simplify 1 into 1 1546683942.083 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683942.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.083 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of -2 in k 1546683942.083 * [misc]backup-simplify: Simplify -2 into -2 1546683942.083 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683942.083 * [misc]taylor: Taking taylor expansion of PI in k 1546683942.083 * [misc]backup-simplify: Simplify PI into PI 1546683942.083 * [misc]taylor: Taking taylor expansion of n in k 1546683942.083 * [misc]backup-simplify: Simplify n into n 1546683942.083 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683942.084 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683942.084 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683942.084 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683942.084 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683942.084 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683942.084 * [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))) 1546683942.084 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683942.084 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683942.084 * [misc]taylor: Taking taylor expansion of -1 in k 1546683942.084 * [misc]backup-simplify: Simplify -1 into -1 1546683942.084 * [misc]taylor: Taking taylor expansion of k in k 1546683942.084 * [misc]backup-simplify: Simplify 0 into 0 1546683942.084 * [misc]backup-simplify: Simplify 1 into 1 1546683942.085 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683942.085 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683942.085 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683942.086 * [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)))) 1546683942.086 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.086 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of k in n 1546683942.086 * [misc]backup-simplify: Simplify k into k 1546683942.086 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683942.086 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.086 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of -2 in n 1546683942.086 * [misc]backup-simplify: Simplify -2 into -2 1546683942.086 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683942.086 * [misc]taylor: Taking taylor expansion of PI in n 1546683942.086 * [misc]backup-simplify: Simplify PI into PI 1546683942.086 * [misc]taylor: Taking taylor expansion of n in n 1546683942.086 * [misc]backup-simplify: Simplify 0 into 0 1546683942.086 * [misc]backup-simplify: Simplify 1 into 1 1546683942.087 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683942.087 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683942.087 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683942.087 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683942.088 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683942.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683942.089 * [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))) 1546683942.089 * [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)))) 1546683942.090 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683942.090 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683942.090 * [misc]taylor: Taking taylor expansion of -1 in n 1546683942.090 * [misc]backup-simplify: Simplify -1 into -1 1546683942.090 * [misc]taylor: Taking taylor expansion of k in n 1546683942.090 * [misc]backup-simplify: Simplify k into k 1546683942.090 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683942.090 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683942.090 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683942.090 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683942.091 * [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))) 1546683942.091 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546683942.091 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683942.091 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683942.091 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683942.091 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683942.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683942.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683942.092 * [misc]taylor: Taking taylor expansion of k in n 1546683942.092 * [misc]backup-simplify: Simplify k into k 1546683942.092 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683942.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683942.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.092 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683942.092 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683942.092 * [misc]taylor: Taking taylor expansion of -2 in n 1546683942.092 * [misc]backup-simplify: Simplify -2 into -2 1546683942.092 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683942.092 * [misc]taylor: Taking taylor expansion of PI in n 1546683942.092 * [misc]backup-simplify: Simplify PI into PI 1546683942.092 * [misc]taylor: Taking taylor expansion of n in n 1546683942.092 * [misc]backup-simplify: Simplify 0 into 0 1546683942.092 * [misc]backup-simplify: Simplify 1 into 1 1546683942.092 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683942.093 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683942.093 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683942.093 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683942.093 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683942.094 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683942.095 * [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))) 1546683942.095 * [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)))) 1546683942.095 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683942.095 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683942.095 * [misc]taylor: Taking taylor expansion of -1 in n 1546683942.095 * [misc]backup-simplify: Simplify -1 into -1 1546683942.095 * [misc]taylor: Taking taylor expansion of k in n 1546683942.095 * [misc]backup-simplify: Simplify k into k 1546683942.095 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683942.096 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683942.096 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683942.096 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683942.096 * [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))) 1546683942.097 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of k in k 1546683942.097 * [misc]backup-simplify: Simplify 0 into 0 1546683942.097 * [misc]backup-simplify: Simplify 1 into 1 1546683942.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683942.097 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683942.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683942.097 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546683942.097 * [misc]taylor: Taking taylor expansion of -2 in k 1546683942.097 * [misc]backup-simplify: Simplify -2 into -2 1546683942.097 * [misc]taylor: Taking taylor expansion of PI in k 1546683942.097 * [misc]backup-simplify: Simplify PI into PI 1546683942.098 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683942.098 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683942.098 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683942.098 * [misc]taylor: Taking taylor expansion of n in k 1546683942.098 * [misc]backup-simplify: Simplify n into n 1546683942.098 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683942.098 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683942.099 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683942.099 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683942.099 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546683942.099 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546683942.100 * [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)))) 1546683942.100 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683942.100 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683942.100 * [misc]taylor: Taking taylor expansion of -1 in k 1546683942.100 * [misc]backup-simplify: Simplify -1 into -1 1546683942.100 * [misc]taylor: Taking taylor expansion of k in k 1546683942.100 * [misc]backup-simplify: Simplify 0 into 0 1546683942.100 * [misc]backup-simplify: Simplify 1 into 1 1546683942.100 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683942.100 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683942.101 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683942.101 * [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))))) 1546683942.101 * [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))))) 1546683942.102 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683942.103 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683942.105 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683942.105 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683942.105 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683942.105 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.106 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683942.106 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546683942.107 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683942.108 * [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 1546683942.108 * [misc]taylor: Taking taylor expansion of 0 in k 1546683942.108 * [misc]backup-simplify: Simplify 0 into 0 1546683942.108 * [misc]backup-simplify: Simplify 0 into 0 1546683942.108 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683942.109 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683942.109 * [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)))))) 1546683942.110 * [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)))))) 1546683942.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683942.111 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683942.114 * [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 1546683942.114 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683942.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683942.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683942.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683942.115 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546683942.117 * [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 1546683942.117 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683942.117 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546683942.118 * [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 1546683942.118 * [misc]taylor: Taking taylor expansion of 0 in k 1546683942.118 * [misc]backup-simplify: Simplify 0 into 0 1546683942.118 * [misc]backup-simplify: Simplify 0 into 0 1546683942.118 * [misc]backup-simplify: Simplify 0 into 0 1546683942.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683942.120 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683942.121 * [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)))))) 1546683942.121 * [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)))))) 1546683942.123 * [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))))))))))) 1546683942.123 * * * [misc]progress: simplifying candidates 1546683942.123 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1546683942.123 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1546683942.123 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1546683942.123 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546683942.123 * * [misc]simplify: iters left: 6 (11 enodes) 1546683942.127 * * [misc]simplify: iters left: 5 (21 enodes) 1546683942.134 * * [misc]simplify: iters left: 4 (47 enodes) 1546683942.151 * * [misc]simplify: iters left: 3 (113 enodes) 1546683942.203 * * [misc]simplify: iters left: 2 (328 enodes) 1546683942.425 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546683942.425 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546683942.425 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1546683942.425 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1546683942.426 * [enter]simplify: Simplifying (* PI (* n 2)) 1546683942.426 * * [misc]simplify: iters left: 4 (5 enodes) 1546683942.427 * * [misc]simplify: iters left: 3 (9 enodes) 1546683942.430 * * [misc]simplify: iters left: 2 (15 enodes) 1546683942.434 * * [misc]simplify: iters left: 1 (17 enodes) 1546683942.438 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546683942.438 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546683942.438 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1546683942.438 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546683942.439 * * [misc]simplify: iters left: 5 (8 enodes) 1546683942.441 * * [misc]simplify: iters left: 4 (12 enodes) 1546683942.444 * * [misc]simplify: iters left: 3 (18 enodes) 1546683942.449 * * [misc]simplify: iters left: 2 (20 enodes) 1546683942.454 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546683942.454 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546683942.454 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1546683942.455 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546683942.455 * * [misc]simplify: iters left: 5 (6 enodes) 1546683942.457 * * [misc]simplify: iters left: 4 (8 enodes) 1546683942.459 * * [misc]simplify: iters left: 3 (11 enodes) 1546683942.462 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546683942.462 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))) 1546683942.462 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1546683942.462 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546683942.462 * * [misc]simplify: iters left: 5 (6 enodes) 1546683942.468 * * [misc]simplify: iters left: 4 (8 enodes) 1546683942.470 * * [misc]simplify: iters left: 3 (11 enodes) 1546683942.473 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546683942.473 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))) 1546683942.473 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1546683942.474 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546683942.474 * * [misc]simplify: iters left: 4 (5 enodes) 1546683942.475 * * [misc]simplify: iters left: 3 (7 enodes) 1546683942.477 * * [misc]simplify: iters left: 2 (10 enodes) 1546683942.480 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546683942.480 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546683942.480 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1546683942.480 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683942.481 * * [misc]simplify: iters left: 5 (9 enodes) 1546683942.484 * * [misc]simplify: iters left: 4 (15 enodes) 1546683942.488 * * [misc]simplify: iters left: 3 (21 enodes) 1546683942.493 * * [misc]simplify: iters left: 2 (22 enodes) 1546683942.498 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683942.498 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546683942.499 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1546683942.499 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683942.499 * * [misc]simplify: iters left: 5 (9 enodes) 1546683942.502 * * [misc]simplify: iters left: 4 (15 enodes) 1546683942.506 * * [misc]simplify: iters left: 3 (21 enodes) 1546683942.511 * * [misc]simplify: iters left: 2 (22 enodes) 1546683942.516 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683942.517 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546683942.517 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1546683942.517 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546683942.517 * * [misc]simplify: iters left: 5 (7 enodes) 1546683942.519 * * [misc]simplify: iters left: 4 (9 enodes) 1546683942.522 * * [misc]simplify: iters left: 3 (12 enodes) 1546683942.525 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546683942.525 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1546683942.525 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1546683942.525 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1546683942.526 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1546683942.527 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546683942.527 * * [misc]simplify: iters left: 6 (14 enodes) 1546683942.531 * * [misc]simplify: iters left: 5 (27 enodes) 1546683942.540 * * [misc]simplify: iters left: 4 (55 enodes) 1546683942.562 * * [misc]simplify: iters left: 3 (144 enodes) 1546683942.618 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546683942.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546683942.618 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1546683942.618 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546683942.619 * * [misc]simplify: iters left: 6 (14 enodes) 1546683942.621 * * [misc]simplify: iters left: 5 (27 enodes) 1546683942.625 * * [misc]simplify: iters left: 4 (55 enodes) 1546683942.636 * * [misc]simplify: iters left: 3 (144 enodes) 1546683942.685 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1546683942.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1546683942.685 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1546683942.686 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546683942.686 * * [misc]simplify: iters left: 6 (14 enodes) 1546683942.688 * * [misc]simplify: iters left: 5 (24 enodes) 1546683942.692 * * [misc]simplify: iters left: 4 (43 enodes) 1546683942.698 * * [misc]simplify: iters left: 3 (73 enodes) 1546683942.720 * * [misc]simplify: iters left: 2 (220 enodes) 1546683942.910 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1546683942.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1546683942.910 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1546683942.910 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1546683942.910 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1546683942.910 * [enter]simplify: Simplifying (/ (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1546683942.911 * * [misc]simplify: iters left: 6 (16 enodes) 1546683942.916 * * [misc]simplify: iters left: 5 (31 enodes) 1546683942.925 * * [misc]simplify: iters left: 4 (67 enodes) 1546683942.946 * * [misc]simplify: iters left: 3 (124 enodes) 1546683942.990 * * [misc]simplify: iters left: 2 (195 enodes) 1546683943.070 * * [misc]simplify: iters left: 1 (309 enodes) 1546683943.188 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1546683943.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))))) 1546683943.188 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1546683943.188 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1546683943.188 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1546683943.188 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1546683943.188 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1546683943.189 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.189 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.193 * * [misc]simplify: iters left: 5 (19 enodes) 1546683943.198 * * [misc]simplify: iters left: 4 (25 enodes) 1546683943.204 * * [misc]simplify: iters left: 3 (26 enodes) 1546683943.209 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1546683943.209 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546683943.209 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.211 * * [misc]simplify: iters left: 5 (18 enodes) 1546683943.214 * * [misc]simplify: iters left: 4 (24 enodes) 1546683943.217 * * [misc]simplify: iters left: 3 (25 enodes) 1546683943.220 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546683943.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1546683943.220 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1546683943.220 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546683943.220 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.222 * * [misc]simplify: iters left: 5 (16 enodes) 1546683943.224 * * [misc]simplify: iters left: 4 (22 enodes) 1546683943.227 * * [misc]simplify: iters left: 3 (24 enodes) 1546683943.230 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546683943.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1546683943.230 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546683943.230 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.232 * * [misc]simplify: iters left: 5 (18 enodes) 1546683943.235 * * [misc]simplify: iters left: 4 (24 enodes) 1546683943.238 * * [misc]simplify: iters left: 3 (25 enodes) 1546683943.241 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546683943.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1546683943.241 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1546683943.241 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546683943.241 * * [misc]simplify: iters left: 6 (9 enodes) 1546683943.242 * * [misc]simplify: iters left: 5 (16 enodes) 1546683943.245 * * [misc]simplify: iters left: 4 (24 enodes) 1546683943.248 * * [misc]simplify: iters left: 3 (26 enodes) 1546683943.250 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546683943.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546683943.251 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546683943.251 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.253 * * [misc]simplify: iters left: 5 (17 enodes) 1546683943.258 * * [misc]simplify: iters left: 4 (23 enodes) 1546683943.262 * * [misc]simplify: iters left: 3 (24 enodes) 1546683943.266 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546683943.266 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546683943.266 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1546683943.266 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.266 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.268 * * [misc]simplify: iters left: 5 (19 enodes) 1546683943.271 * * [misc]simplify: iters left: 4 (25 enodes) 1546683943.274 * * [misc]simplify: iters left: 3 (26 enodes) 1546683943.277 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))))) 1546683943.277 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546683943.277 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.279 * * [misc]simplify: iters left: 5 (18 enodes) 1546683943.281 * * [misc]simplify: iters left: 4 (24 enodes) 1546683943.285 * * [misc]simplify: iters left: 3 (25 enodes) 1546683943.288 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546683943.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))))) 1546683943.288 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1546683943.288 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546683943.288 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.290 * * [misc]simplify: iters left: 5 (16 enodes) 1546683943.292 * * [misc]simplify: iters left: 4 (22 enodes) 1546683943.298 * * [misc]simplify: iters left: 3 (24 enodes) 1546683943.303 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546683943.304 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))))) 1546683943.304 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546683943.304 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.307 * * [misc]simplify: iters left: 5 (18 enodes) 1546683943.312 * * [misc]simplify: iters left: 4 (24 enodes) 1546683943.319 * * [misc]simplify: iters left: 3 (25 enodes) 1546683943.325 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546683943.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1546683943.325 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1546683943.325 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546683943.326 * * [misc]simplify: iters left: 6 (9 enodes) 1546683943.328 * * [misc]simplify: iters left: 5 (16 enodes) 1546683943.333 * * [misc]simplify: iters left: 4 (24 enodes) 1546683943.339 * * [misc]simplify: iters left: 3 (26 enodes) 1546683943.344 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546683943.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546683943.345 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546683943.345 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.348 * * [misc]simplify: iters left: 5 (17 enodes) 1546683943.353 * * [misc]simplify: iters left: 4 (23 enodes) 1546683943.357 * * [misc]simplify: iters left: 3 (24 enodes) 1546683943.360 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546683943.360 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546683943.360 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1546683943.360 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.360 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.362 * * [misc]simplify: iters left: 5 (15 enodes) 1546683943.364 * * [misc]simplify: iters left: 4 (18 enodes) 1546683943.366 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546683943.366 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546683943.366 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.369 * * [misc]simplify: iters left: 5 (14 enodes) 1546683943.371 * * [misc]simplify: iters left: 4 (17 enodes) 1546683943.373 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546683943.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546683943.373 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1546683943.373 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683943.373 * * [misc]simplify: iters left: 6 (10 enodes) 1546683943.375 * * [misc]simplify: iters left: 5 (12 enodes) 1546683943.376 * * [misc]simplify: iters left: 4 (15 enodes) 1546683943.378 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683943.378 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546683943.379 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683943.379 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.380 * * [misc]simplify: iters left: 5 (14 enodes) 1546683943.382 * * [misc]simplify: iters left: 4 (17 enodes) 1546683943.385 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683943.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546683943.385 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1546683943.385 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546683943.385 * * [misc]simplify: iters left: 6 (9 enodes) 1546683943.386 * * [misc]simplify: iters left: 5 (13 enodes) 1546683943.388 * * [misc]simplify: iters left: 4 (18 enodes) 1546683943.390 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546683943.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546683943.391 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546683943.391 * * [misc]simplify: iters left: 6 (10 enodes) 1546683943.393 * * [misc]simplify: iters left: 5 (13 enodes) 1546683943.397 * * [misc]simplify: iters left: 4 (16 enodes) 1546683943.401 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546683943.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546683943.401 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1546683943.402 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.402 * * [misc]simplify: iters left: 6 (16 enodes) 1546683943.407 * * [misc]simplify: iters left: 5 (28 enodes) 1546683943.415 * * [misc]simplify: iters left: 4 (46 enodes) 1546683943.427 * * [misc]simplify: iters left: 3 (50 enodes) 1546683943.440 * * [misc]simplify: iters left: 2 (53 enodes) 1546683943.453 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546683943.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546683943.453 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546683943.453 * * [misc]simplify: iters left: 6 (14 enodes) 1546683943.458 * * [misc]simplify: iters left: 5 (20 enodes) 1546683943.463 * * [misc]simplify: iters left: 4 (29 enodes) 1546683943.469 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.473 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546683943.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546683943.473 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1546683943.473 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683943.473 * * [misc]simplify: iters left: 6 (15 enodes) 1546683943.475 * * [misc]simplify: iters left: 5 (23 enodes) 1546683943.480 * * [misc]simplify: iters left: 4 (34 enodes) 1546683943.484 * * [misc]simplify: iters left: 3 (37 enodes) 1546683943.489 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546683943.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546683943.489 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683943.489 * * [misc]simplify: iters left: 6 (14 enodes) 1546683943.491 * * [misc]simplify: iters left: 5 (20 enodes) 1546683943.494 * * [misc]simplify: iters left: 4 (29 enodes) 1546683943.498 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.504 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683943.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546683943.504 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1546683943.505 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546683943.505 * * [misc]simplify: iters left: 6 (14 enodes) 1546683943.508 * * [misc]simplify: iters left: 5 (24 enodes) 1546683943.512 * * [misc]simplify: iters left: 4 (39 enodes) 1546683943.517 * * [misc]simplify: iters left: 3 (54 enodes) 1546683943.523 * * [misc]simplify: iters left: 2 (80 enodes) 1546683943.533 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546683943.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1546683943.533 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546683943.534 * * [misc]simplify: iters left: 6 (13 enodes) 1546683943.535 * * [misc]simplify: iters left: 5 (19 enodes) 1546683943.538 * * [misc]simplify: iters left: 4 (28 enodes) 1546683943.542 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.545 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546683943.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1546683943.546 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1546683943.546 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.546 * * [misc]simplify: iters left: 6 (15 enodes) 1546683943.548 * * [misc]simplify: iters left: 5 (23 enodes) 1546683943.552 * * [misc]simplify: iters left: 4 (32 enodes) 1546683943.561 * * [misc]simplify: iters left: 3 (34 enodes) 1546683943.570 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546683943.570 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546683943.571 * * [misc]simplify: iters left: 6 (14 enodes) 1546683943.575 * * [misc]simplify: iters left: 5 (20 enodes) 1546683943.581 * * [misc]simplify: iters left: 4 (29 enodes) 1546683943.588 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.596 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546683943.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546683943.596 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1546683943.596 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683943.596 * * [misc]simplify: iters left: 6 (14 enodes) 1546683943.600 * * [misc]simplify: iters left: 5 (20 enodes) 1546683943.606 * * [misc]simplify: iters left: 4 (29 enodes) 1546683943.614 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.621 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683943.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546683943.622 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683943.622 * * [misc]simplify: iters left: 6 (14 enodes) 1546683943.626 * * [misc]simplify: iters left: 5 (20 enodes) 1546683943.631 * * [misc]simplify: iters left: 4 (29 enodes) 1546683943.639 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.646 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683943.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1546683943.647 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1546683943.647 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546683943.647 * * [misc]simplify: iters left: 6 (13 enodes) 1546683943.651 * * [misc]simplify: iters left: 5 (21 enodes) 1546683943.658 * * [misc]simplify: iters left: 4 (32 enodes) 1546683943.665 * * [misc]simplify: iters left: 3 (33 enodes) 1546683943.673 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546683943.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1546683943.673 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546683943.673 * * [misc]simplify: iters left: 6 (13 enodes) 1546683943.677 * * [misc]simplify: iters left: 5 (19 enodes) 1546683943.683 * * [misc]simplify: iters left: 4 (28 enodes) 1546683943.691 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.698 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546683943.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1546683943.698 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1546683943.699 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683943.699 * * [misc]simplify: iters left: 6 (6 enodes) 1546683943.701 * * [misc]simplify: iters left: 5 (10 enodes) 1546683943.704 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546683943.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546683943.705 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546683943.705 * * [misc]simplify: iters left: 6 (13 enodes) 1546683943.709 * * [misc]simplify: iters left: 5 (19 enodes) 1546683943.715 * * [misc]simplify: iters left: 4 (28 enodes) 1546683943.722 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.730 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546683943.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1546683943.730 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1546683943.730 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546683943.730 * * [misc]simplify: iters left: 4 (5 enodes) 1546683943.732 * * [misc]simplify: iters left: 3 (7 enodes) 1546683943.733 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546683943.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546683943.734 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683943.734 * * [misc]simplify: iters left: 6 (13 enodes) 1546683943.738 * * [misc]simplify: iters left: 5 (19 enodes) 1546683943.743 * * [misc]simplify: iters left: 4 (28 enodes) 1546683943.751 * * [misc]simplify: iters left: 3 (30 enodes) 1546683943.758 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683943.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546683943.759 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1546683943.759 * [enter]simplify: Simplifying (/ 1 1) 1546683943.759 * * [misc]simplify: iters left: 2 (2 enodes) 1546683943.760 * * [misc]simplify: iters left: 1 (4 enodes) 1546683943.760 * [exit]simplify: Simplified to 1 1546683943.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546683943.761 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546683943.761 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.765 * * [misc]simplify: iters left: 5 (18 enodes) 1546683943.770 * * [misc]simplify: iters left: 4 (27 enodes) 1546683943.777 * * [misc]simplify: iters left: 3 (29 enodes) 1546683943.784 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546683943.785 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546683943.785 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1546683943.785 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1546683943.785 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1546683943.785 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1546683943.785 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546683943.785 * * [misc]simplify: iters left: 2 (3 enodes) 1546683943.786 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546683943.786 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1546683943.786 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1546683943.786 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546683943.786 * * [misc]simplify: iters left: 2 (3 enodes) 1546683943.787 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546683943.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546683943.787 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1546683943.788 * [enter]simplify: Simplifying (sqrt k) 1546683943.788 * * [misc]simplify: iters left: 1 (2 enodes) 1546683943.788 * [exit]simplify: Simplified to (sqrt k) 1546683943.788 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546683943.788 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1546683943.789 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546683943.789 * * [misc]simplify: iters left: 5 (7 enodes) 1546683943.791 * * [misc]simplify: iters left: 4 (12 enodes) 1546683943.794 * * [misc]simplify: iters left: 3 (18 enodes) 1546683943.799 * * [misc]simplify: iters left: 2 (20 enodes) 1546683943.803 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546683943.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546683943.803 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1546683943.804 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546683943.804 * * [misc]simplify: iters left: 5 (7 enodes) 1546683943.806 * * [misc]simplify: iters left: 4 (12 enodes) 1546683943.809 * * [misc]simplify: iters left: 3 (18 enodes) 1546683943.814 * * [misc]simplify: iters left: 2 (20 enodes) 1546683943.819 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546683943.819 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546683943.819 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1546683943.819 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546683943.819 * * [misc]simplify: iters left: 5 (7 enodes) 1546683943.821 * * [misc]simplify: iters left: 4 (9 enodes) 1546683943.824 * * [misc]simplify: iters left: 3 (12 enodes) 1546683943.827 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546683943.827 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683943.827 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1546683943.827 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683943.828 * * [misc]simplify: iters left: 6 (12 enodes) 1546683943.831 * * [misc]simplify: iters left: 5 (18 enodes) 1546683943.837 * * [misc]simplify: iters left: 4 (27 enodes) 1546683943.844 * * [misc]simplify: iters left: 3 (29 enodes) 1546683943.851 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546683943.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683943.852 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1546683943.852 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683943.852 * * [misc]simplify: iters left: 6 (11 enodes) 1546683943.856 * * [misc]simplify: iters left: 5 (17 enodes) 1546683943.860 * * [misc]simplify: iters left: 4 (26 enodes) 1546683943.867 * * [misc]simplify: iters left: 3 (27 enodes) 1546683943.874 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546683943.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683943.874 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1546683943.874 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1546683943.874 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546683943.875 * * [misc]simplify: iters left: 5 (7 enodes) 1546683943.877 * * [misc]simplify: iters left: 4 (12 enodes) 1546683943.880 * * [misc]simplify: iters left: 3 (18 enodes) 1546683943.884 * * [misc]simplify: iters left: 2 (20 enodes) 1546683943.886 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546683943.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546683943.886 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1546683943.886 * [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))))) 1546683943.887 * * [misc]simplify: iters left: 6 (37 enodes) 1546683943.894 * * [misc]simplify: iters left: 5 (108 enodes) 1546683943.918 * * [misc]simplify: iters left: 4 (368 enodes) 1546683944.208 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546683944.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1546683944.209 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1546683944.209 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546683944.209 * * [misc]simplify: iters left: 6 (15 enodes) 1546683944.216 * * [misc]simplify: iters left: 5 (33 enodes) 1546683944.226 * * [misc]simplify: iters left: 4 (64 enodes) 1546683944.251 * * [misc]simplify: iters left: 3 (179 enodes) 1546683944.332 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546683944.332 * [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))) 1546683944.332 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1546683944.332 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546683944.332 * * [misc]simplify: iters left: 6 (15 enodes) 1546683944.335 * * [misc]simplify: iters left: 5 (30 enodes) 1546683944.341 * * [misc]simplify: iters left: 4 (65 enodes) 1546683944.354 * * [misc]simplify: iters left: 3 (208 enodes) 1546683944.463 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546683944.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1546683944.464 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1546683944.464 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683944.464 * * [misc]simplify: iters left: 4 (5 enodes) 1546683944.466 * * [misc]simplify: iters left: 3 (9 enodes) 1546683944.469 * * [misc]simplify: iters left: 2 (15 enodes) 1546683944.473 * * [misc]simplify: iters left: 1 (17 enodes) 1546683944.477 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683944.477 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546683944.477 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1546683944.477 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683944.477 * * [misc]simplify: iters left: 4 (5 enodes) 1546683944.479 * * [misc]simplify: iters left: 3 (9 enodes) 1546683944.482 * * [misc]simplify: iters left: 2 (15 enodes) 1546683944.486 * * [misc]simplify: iters left: 1 (17 enodes) 1546683944.490 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683944.490 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546683944.490 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1546683944.490 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683944.491 * * [misc]simplify: iters left: 4 (5 enodes) 1546683944.492 * * [misc]simplify: iters left: 3 (9 enodes) 1546683944.495 * * [misc]simplify: iters left: 2 (15 enodes) 1546683944.499 * * [misc]simplify: iters left: 1 (17 enodes) 1546683944.503 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683944.503 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546683944.503 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1546683944.504 * [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)))))))))))))))))))))) 1546683944.504 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683944.504 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1546683944.504 * [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)))))))) 1546683944.504 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683944.504 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1546683944.504 * [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))))))))))) 1546683944.504 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683944.505 * * * [misc]progress: adding candidates to table 1546683945.334 * * [misc]progress: iteration 2 / 4 1546683945.334 * * * [misc]progress: picking best candidate 1546683945.382 * * * * [misc]pick: Picked # 1546683945.382 * * * [misc]progress: localizing error 1546683945.390 * * * [misc]progress: generating rewritten candidates 1546683945.390 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546683945.392 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1546683945.393 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546683945.398 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546683945.401 * * * [misc]progress: generating series expansions 1546683945.401 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546683945.401 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546683945.402 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546683945.402 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.402 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.402 * [misc]taylor: Taking taylor expansion of k in k 1546683945.402 * [misc]backup-simplify: Simplify 0 into 0 1546683945.402 * [misc]backup-simplify: Simplify 1 into 1 1546683945.402 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.402 * [misc]backup-simplify: Simplify 2 into 2 1546683945.402 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683945.402 * [misc]taylor: Taking taylor expansion of n in k 1546683945.402 * [misc]backup-simplify: Simplify n into n 1546683945.402 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.402 * [misc]backup-simplify: Simplify PI into PI 1546683945.402 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683945.402 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683945.402 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683945.402 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683945.402 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.403 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.403 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683945.403 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683945.403 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.403 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.403 * [misc]taylor: Taking taylor expansion of k in n 1546683945.403 * [misc]backup-simplify: Simplify k into k 1546683945.403 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.403 * [misc]backup-simplify: Simplify 2 into 2 1546683945.403 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.403 * [misc]taylor: Taking taylor expansion of n in n 1546683945.403 * [misc]backup-simplify: Simplify 0 into 0 1546683945.403 * [misc]backup-simplify: Simplify 1 into 1 1546683945.403 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.403 * [misc]backup-simplify: Simplify PI into PI 1546683945.403 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.404 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.404 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.404 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.405 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.405 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683945.405 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683945.405 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683945.405 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.406 * [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)))) 1546683945.406 * [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))))) 1546683945.406 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.406 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.406 * [misc]taylor: Taking taylor expansion of k in n 1546683945.406 * [misc]backup-simplify: Simplify k into k 1546683945.406 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.406 * [misc]backup-simplify: Simplify 2 into 2 1546683945.406 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.406 * [misc]taylor: Taking taylor expansion of n in n 1546683945.406 * [misc]backup-simplify: Simplify 0 into 0 1546683945.406 * [misc]backup-simplify: Simplify 1 into 1 1546683945.406 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.406 * [misc]backup-simplify: Simplify PI into PI 1546683945.407 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.407 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.407 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.407 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.408 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.408 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683945.408 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683945.408 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683945.408 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.409 * [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)))) 1546683945.409 * [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))))) 1546683945.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.409 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.409 * [misc]taylor: Taking taylor expansion of k in k 1546683945.409 * [misc]backup-simplify: Simplify 0 into 0 1546683945.409 * [misc]backup-simplify: Simplify 1 into 1 1546683945.409 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of n in k 1546683945.409 * [misc]backup-simplify: Simplify n into n 1546683945.409 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683945.409 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683945.409 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683945.410 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.410 * [misc]backup-simplify: Simplify 2 into 2 1546683945.410 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.410 * [misc]backup-simplify: Simplify PI into PI 1546683945.410 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.410 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.410 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683945.410 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.410 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.411 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.411 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546683945.411 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683945.412 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683945.412 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683945.413 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683945.415 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.415 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546683945.415 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.416 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.416 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546683945.417 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.417 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.417 * [misc]backup-simplify: Simplify 0 into 0 1546683945.417 * [misc]backup-simplify: Simplify 0 into 0 1546683945.418 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546683945.418 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683945.420 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.420 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683945.420 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.420 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.420 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546683945.421 * [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))))))) 1546683945.422 * [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))))))) 1546683945.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.424 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683945.427 * [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 1546683945.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546683945.428 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.428 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.429 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.429 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683945.432 * [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 1546683945.432 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.432 * [misc]backup-simplify: Simplify 0 into 0 1546683945.432 * [misc]backup-simplify: Simplify 0 into 0 1546683945.432 * [misc]backup-simplify: Simplify 0 into 0 1546683945.434 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546683945.435 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.440 * [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 1546683945.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683945.440 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683945.443 * [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))))) 1546683945.446 * [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))))) 1546683945.451 * [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))))) 1546683945.451 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546683945.451 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546683945.451 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683945.451 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683945.451 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683945.451 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683945.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.452 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.452 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.452 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.452 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.452 * [misc]taylor: Taking taylor expansion of k in k 1546683945.452 * [misc]backup-simplify: Simplify 0 into 0 1546683945.452 * [misc]backup-simplify: Simplify 1 into 1 1546683945.452 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.452 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683945.452 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683945.452 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.452 * [misc]backup-simplify: Simplify 2 into 2 1546683945.452 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.452 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.452 * [misc]backup-simplify: Simplify PI into PI 1546683945.452 * [misc]taylor: Taking taylor expansion of n in k 1546683945.452 * [misc]backup-simplify: Simplify n into n 1546683945.452 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.452 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683945.452 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683945.453 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.453 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.453 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.453 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683945.453 * [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)))) 1546683945.453 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.453 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.453 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.453 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.453 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.454 * [misc]taylor: Taking taylor expansion of k in n 1546683945.454 * [misc]backup-simplify: Simplify k into k 1546683945.454 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.454 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.454 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.454 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.454 * [misc]backup-simplify: Simplify 2 into 2 1546683945.454 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.454 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.454 * [misc]backup-simplify: Simplify PI into PI 1546683945.454 * [misc]taylor: Taking taylor expansion of n in n 1546683945.454 * [misc]backup-simplify: Simplify 0 into 0 1546683945.454 * [misc]backup-simplify: Simplify 1 into 1 1546683945.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.455 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.455 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.455 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.455 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.455 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.456 * [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))) 1546683945.456 * [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)))) 1546683945.457 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.457 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of k in n 1546683945.457 * [misc]backup-simplify: Simplify k into k 1546683945.457 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.457 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.457 * [misc]backup-simplify: Simplify 2 into 2 1546683945.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.457 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.457 * [misc]backup-simplify: Simplify PI into PI 1546683945.457 * [misc]taylor: Taking taylor expansion of n in n 1546683945.457 * [misc]backup-simplify: Simplify 0 into 0 1546683945.457 * [misc]backup-simplify: Simplify 1 into 1 1546683945.457 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.457 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.458 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.458 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.458 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.458 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.458 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.459 * [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))) 1546683945.459 * [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)))) 1546683945.459 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.459 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.459 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of k in k 1546683945.459 * [misc]backup-simplify: Simplify 0 into 0 1546683945.459 * [misc]backup-simplify: Simplify 1 into 1 1546683945.459 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.459 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683945.459 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.459 * [misc]backup-simplify: Simplify 2 into 2 1546683945.459 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.459 * [misc]backup-simplify: Simplify PI into PI 1546683945.460 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.460 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.460 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683945.460 * [misc]taylor: Taking taylor expansion of n in k 1546683945.460 * [misc]backup-simplify: Simplify n into n 1546683945.460 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683945.460 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.460 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.460 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.460 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683945.461 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546683945.461 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546683945.461 * [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)))) 1546683945.462 * [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)))) 1546683945.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.463 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683945.465 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.465 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.465 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683945.465 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.465 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.466 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.466 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683945.467 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.467 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.467 * [misc]backup-simplify: Simplify 0 into 0 1546683945.467 * [misc]backup-simplify: Simplify 0 into 0 1546683945.467 * [misc]backup-simplify: Simplify 0 into 0 1546683945.468 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.472 * [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 1546683945.472 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683945.472 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683945.472 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.472 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.473 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.473 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546683945.475 * [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 1546683945.475 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.475 * [misc]backup-simplify: Simplify 0 into 0 1546683945.475 * [misc]backup-simplify: Simplify 0 into 0 1546683945.475 * [misc]backup-simplify: Simplify 0 into 0 1546683945.475 * [misc]backup-simplify: Simplify 0 into 0 1546683945.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.483 * [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 1546683945.483 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683945.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683945.484 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.485 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.486 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546683945.489 * [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 1546683945.489 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.489 * [misc]backup-simplify: Simplify 0 into 0 1546683945.489 * [misc]backup-simplify: Simplify 0 into 0 1546683945.490 * [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))))) 1546683945.490 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683945.491 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546683945.491 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.491 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of k in k 1546683945.491 * [misc]backup-simplify: Simplify 0 into 0 1546683945.491 * [misc]backup-simplify: Simplify 1 into 1 1546683945.491 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.491 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of -2 in k 1546683945.491 * [misc]backup-simplify: Simplify -2 into -2 1546683945.491 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.491 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.491 * [misc]backup-simplify: Simplify PI into PI 1546683945.491 * [misc]taylor: Taking taylor expansion of n in k 1546683945.491 * [misc]backup-simplify: Simplify n into n 1546683945.491 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.492 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683945.492 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683945.492 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.492 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.492 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683945.492 * [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))) 1546683945.492 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.492 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683945.492 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683945.492 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.492 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.493 * [misc]taylor: Taking taylor expansion of k in n 1546683945.493 * [misc]backup-simplify: Simplify k into k 1546683945.493 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.493 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.493 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.493 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.493 * [misc]backup-simplify: Simplify -2 into -2 1546683945.493 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.493 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.493 * [misc]backup-simplify: Simplify PI into PI 1546683945.493 * [misc]taylor: Taking taylor expansion of n in n 1546683945.493 * [misc]backup-simplify: Simplify 0 into 0 1546683945.493 * [misc]backup-simplify: Simplify 1 into 1 1546683945.493 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.494 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.494 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.494 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.494 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.495 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.496 * [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))) 1546683945.496 * [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)))) 1546683945.496 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.496 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683945.496 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683945.496 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.496 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.496 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.497 * [misc]taylor: Taking taylor expansion of k in n 1546683945.497 * [misc]backup-simplify: Simplify k into k 1546683945.497 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.497 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.497 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.497 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.497 * [misc]backup-simplify: Simplify -2 into -2 1546683945.497 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.497 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.497 * [misc]backup-simplify: Simplify PI into PI 1546683945.497 * [misc]taylor: Taking taylor expansion of n in n 1546683945.497 * [misc]backup-simplify: Simplify 0 into 0 1546683945.497 * [misc]backup-simplify: Simplify 1 into 1 1546683945.497 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.497 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.498 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.498 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.498 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.499 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.499 * [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))) 1546683945.500 * [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)))) 1546683945.500 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546683945.500 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546683945.500 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683945.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.500 * [misc]taylor: Taking taylor expansion of k in k 1546683945.500 * [misc]backup-simplify: Simplify 0 into 0 1546683945.500 * [misc]backup-simplify: Simplify 1 into 1 1546683945.501 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.501 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.501 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546683945.501 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546683945.501 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546683945.501 * [misc]taylor: Taking taylor expansion of -2 in k 1546683945.501 * [misc]backup-simplify: Simplify -2 into -2 1546683945.501 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.501 * [misc]backup-simplify: Simplify PI into PI 1546683945.501 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.501 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.501 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683945.502 * [misc]taylor: Taking taylor expansion of n in k 1546683945.502 * [misc]backup-simplify: Simplify n into n 1546683945.502 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683945.502 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.502 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.502 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683945.502 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546683945.503 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546683945.506 * [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)))) 1546683945.507 * [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)))) 1546683945.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.508 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683945.510 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683945.510 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683945.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.511 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546683945.512 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.512 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.512 * [misc]backup-simplify: Simplify 0 into 0 1546683945.512 * [misc]backup-simplify: Simplify 0 into 0 1546683945.512 * [misc]backup-simplify: Simplify 0 into 0 1546683945.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.513 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.516 * [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 1546683945.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683945.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683945.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.518 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546683945.519 * [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 1546683945.519 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.519 * [misc]backup-simplify: Simplify 0 into 0 1546683945.519 * [misc]backup-simplify: Simplify 0 into 0 1546683945.519 * [misc]backup-simplify: Simplify 0 into 0 1546683945.519 * [misc]backup-simplify: Simplify 0 into 0 1546683945.521 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.521 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.526 * [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 1546683945.526 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683945.527 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683945.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.527 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.528 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546683945.530 * [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 1546683945.530 * [misc]taylor: Taking taylor expansion of 0 in k 1546683945.530 * [misc]backup-simplify: Simplify 0 into 0 1546683945.530 * [misc]backup-simplify: Simplify 0 into 0 1546683945.530 * [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))))) 1546683945.531 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1546683945.531 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546683945.531 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546683945.531 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.531 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.531 * [misc]backup-simplify: Simplify 2 into 2 1546683945.531 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.531 * [misc]taylor: Taking taylor expansion of n in n 1546683945.531 * [misc]backup-simplify: Simplify 0 into 0 1546683945.531 * [misc]backup-simplify: Simplify 1 into 1 1546683945.531 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.531 * [misc]backup-simplify: Simplify PI into PI 1546683945.531 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.531 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.531 * [misc]backup-simplify: Simplify 2 into 2 1546683945.531 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.531 * [misc]taylor: Taking taylor expansion of n in n 1546683945.531 * [misc]backup-simplify: Simplify 0 into 0 1546683945.531 * [misc]backup-simplify: Simplify 1 into 1 1546683945.531 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.531 * [misc]backup-simplify: Simplify PI into PI 1546683945.531 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.531 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.531 * [misc]backup-simplify: Simplify 0 into 0 1546683945.532 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.532 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.532 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.533 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683945.534 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683945.534 * [misc]backup-simplify: Simplify 0 into 0 1546683945.535 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.536 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683945.536 * [misc]backup-simplify: Simplify 0 into 0 1546683945.537 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683945.538 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546683945.538 * [misc]backup-simplify: Simplify 0 into 0 1546683945.540 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683945.541 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546683945.541 * [misc]backup-simplify: Simplify 0 into 0 1546683945.543 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683945.545 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546683945.545 * [misc]backup-simplify: Simplify 0 into 0 1546683945.548 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546683945.552 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546683945.552 * [misc]backup-simplify: Simplify 0 into 0 1546683945.552 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546683945.552 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546683945.553 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546683945.553 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.553 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.553 * [misc]backup-simplify: Simplify 2 into 2 1546683945.553 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.553 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.553 * [misc]backup-simplify: Simplify PI into PI 1546683945.553 * [misc]taylor: Taking taylor expansion of n in n 1546683945.553 * [misc]backup-simplify: Simplify 0 into 0 1546683945.553 * [misc]backup-simplify: Simplify 1 into 1 1546683945.553 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.553 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.553 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.553 * [misc]backup-simplify: Simplify 2 into 2 1546683945.553 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.553 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.553 * [misc]backup-simplify: Simplify PI into PI 1546683945.553 * [misc]taylor: Taking taylor expansion of n in n 1546683945.553 * [misc]backup-simplify: Simplify 0 into 0 1546683945.553 * [misc]backup-simplify: Simplify 1 into 1 1546683945.554 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.554 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.554 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.555 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.556 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683945.556 * [misc]backup-simplify: Simplify 0 into 0 1546683945.557 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.558 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.558 * [misc]backup-simplify: Simplify 0 into 0 1546683945.560 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.561 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.561 * [misc]backup-simplify: Simplify 0 into 0 1546683945.563 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.566 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683945.566 * [misc]backup-simplify: Simplify 0 into 0 1546683945.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683945.571 * [misc]backup-simplify: Simplify 0 into 0 1546683945.573 * [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 1546683945.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683945.577 * [misc]backup-simplify: Simplify 0 into 0 1546683945.577 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546683945.577 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546683945.577 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546683945.577 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.577 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.577 * [misc]backup-simplify: Simplify -2 into -2 1546683945.577 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.577 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.577 * [misc]backup-simplify: Simplify PI into PI 1546683945.577 * [misc]taylor: Taking taylor expansion of n in n 1546683945.577 * [misc]backup-simplify: Simplify 0 into 0 1546683945.577 * [misc]backup-simplify: Simplify 1 into 1 1546683945.578 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.578 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.578 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.578 * [misc]backup-simplify: Simplify -2 into -2 1546683945.578 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.578 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.578 * [misc]backup-simplify: Simplify PI into PI 1546683945.578 * [misc]taylor: Taking taylor expansion of n in n 1546683945.578 * [misc]backup-simplify: Simplify 0 into 0 1546683945.578 * [misc]backup-simplify: Simplify 1 into 1 1546683945.578 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.579 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.579 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.580 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.581 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683945.581 * [misc]backup-simplify: Simplify 0 into 0 1546683945.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.583 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.583 * [misc]backup-simplify: Simplify 0 into 0 1546683945.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.586 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.586 * [misc]backup-simplify: Simplify 0 into 0 1546683945.588 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.590 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683945.590 * [misc]backup-simplify: Simplify 0 into 0 1546683945.593 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.595 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683945.595 * [misc]backup-simplify: Simplify 0 into 0 1546683945.598 * [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 1546683945.601 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683945.601 * [misc]backup-simplify: Simplify 0 into 0 1546683945.601 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546683945.602 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546683945.602 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1546683945.602 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546683945.602 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.602 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.602 * [misc]taylor: Taking taylor expansion of k in n 1546683945.602 * [misc]backup-simplify: Simplify k into k 1546683945.602 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.602 * [misc]backup-simplify: Simplify 2 into 2 1546683945.602 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.602 * [misc]taylor: Taking taylor expansion of n in n 1546683945.602 * [misc]backup-simplify: Simplify 0 into 0 1546683945.602 * [misc]backup-simplify: Simplify 1 into 1 1546683945.603 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.603 * [misc]backup-simplify: Simplify PI into PI 1546683945.603 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.603 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.604 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.604 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.605 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.605 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683945.605 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683945.605 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683945.606 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.606 * [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)))) 1546683945.607 * [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))))) 1546683945.608 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1546683945.608 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683945.608 * [misc]taylor: Taking taylor expansion of k in n 1546683945.608 * [misc]backup-simplify: Simplify k into k 1546683945.608 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683945.608 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683945.608 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.608 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.608 * [misc]taylor: Taking taylor expansion of k in k 1546683945.608 * [misc]backup-simplify: Simplify 0 into 0 1546683945.608 * [misc]backup-simplify: Simplify 1 into 1 1546683945.608 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.608 * [misc]backup-simplify: Simplify 2 into 2 1546683945.608 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683945.608 * [misc]taylor: Taking taylor expansion of n in k 1546683945.608 * [misc]backup-simplify: Simplify n into n 1546683945.609 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.609 * [misc]backup-simplify: Simplify PI into PI 1546683945.609 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683945.609 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683945.609 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683945.609 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683945.609 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.609 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.609 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683945.609 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683945.610 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546683945.610 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of k in k 1546683945.610 * [misc]backup-simplify: Simplify 0 into 0 1546683945.610 * [misc]backup-simplify: Simplify 1 into 1 1546683945.610 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.610 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.610 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683945.610 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.610 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.611 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683945.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.611 * [misc]taylor: Taking taylor expansion of k in k 1546683945.611 * [misc]backup-simplify: Simplify 0 into 0 1546683945.611 * [misc]backup-simplify: Simplify 1 into 1 1546683945.611 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683945.611 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683945.611 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.611 * [misc]backup-simplify: Simplify 2 into 2 1546683945.611 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683945.611 * [misc]taylor: Taking taylor expansion of n in k 1546683945.611 * [misc]backup-simplify: Simplify n into n 1546683945.611 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.611 * [misc]backup-simplify: Simplify PI into PI 1546683945.611 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683945.611 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683945.611 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683945.611 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683945.611 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.612 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.612 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683945.612 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683945.612 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546683945.612 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683945.612 * [misc]taylor: Taking taylor expansion of k in k 1546683945.612 * [misc]backup-simplify: Simplify 0 into 0 1546683945.612 * [misc]backup-simplify: Simplify 1 into 1 1546683945.612 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.613 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.613 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1546683945.613 * [misc]taylor: Taking taylor expansion of 0 in n 1546683945.613 * [misc]backup-simplify: Simplify 0 into 0 1546683945.613 * [misc]backup-simplify: Simplify 0 into 0 1546683945.613 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546683945.614 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546683945.614 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546683945.615 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683945.615 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.615 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.615 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546683945.615 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546683945.616 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1546683945.617 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1546683945.617 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546683945.617 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546683945.617 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.617 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.617 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546683945.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546683945.617 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546683945.617 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.617 * [misc]taylor: Taking taylor expansion of n in n 1546683945.617 * [misc]backup-simplify: Simplify 0 into 0 1546683945.618 * [misc]backup-simplify: Simplify 1 into 1 1546683945.618 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.618 * [misc]backup-simplify: Simplify PI into PI 1546683945.618 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.618 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.619 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546683945.619 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.620 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546683945.620 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546683945.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.620 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546683945.620 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546683945.621 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.622 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546683945.623 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.625 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.626 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.626 * [misc]backup-simplify: Simplify 0 into 0 1546683945.627 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683945.628 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.628 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546683945.630 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546683945.630 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683945.630 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.630 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.631 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546683945.632 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546683945.634 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1546683945.639 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1546683945.639 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1546683945.639 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1546683945.639 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1546683945.639 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.640 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.640 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.640 * [misc]backup-simplify: Simplify 2 into 2 1546683945.640 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.640 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.640 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.640 * [misc]backup-simplify: Simplify 2 into 2 1546683945.640 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.640 * [misc]taylor: Taking taylor expansion of n in n 1546683945.640 * [misc]backup-simplify: Simplify 0 into 0 1546683945.640 * [misc]backup-simplify: Simplify 1 into 1 1546683945.640 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.640 * [misc]backup-simplify: Simplify PI into PI 1546683945.641 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.641 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.642 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.642 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.643 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.643 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546683945.643 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546683945.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.643 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546683945.643 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546683945.643 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546683945.643 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546683945.643 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.643 * [misc]taylor: Taking taylor expansion of n in n 1546683945.643 * [misc]backup-simplify: Simplify 0 into 0 1546683945.643 * [misc]backup-simplify: Simplify 1 into 1 1546683945.643 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.643 * [misc]backup-simplify: Simplify PI into PI 1546683945.644 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.644 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.645 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546683945.645 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.645 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546683945.646 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546683945.646 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546683945.646 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.646 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.646 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546683945.646 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546683945.646 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546683945.646 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.646 * [misc]taylor: Taking taylor expansion of n in n 1546683945.646 * [misc]backup-simplify: Simplify 0 into 0 1546683945.646 * [misc]backup-simplify: Simplify 1 into 1 1546683945.646 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.646 * [misc]backup-simplify: Simplify PI into PI 1546683945.646 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.647 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.647 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546683945.647 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.648 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546683945.648 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546683945.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.648 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546683945.648 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546683945.649 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.650 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546683945.650 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1546683945.652 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1546683945.652 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.653 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546683945.654 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683945.655 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683945.658 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.659 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546683945.660 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1546683945.662 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1546683945.663 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1546683945.668 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1546683945.669 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.669 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546683945.671 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.672 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546683945.678 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546683945.685 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546683945.692 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546683945.693 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546683945.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683945.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546683945.697 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546683945.700 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546683945.704 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546683945.706 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546683945.707 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546683945.715 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1546683945.715 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1546683945.715 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546683945.715 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.715 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.715 * [misc]taylor: Taking taylor expansion of k in n 1546683945.715 * [misc]backup-simplify: Simplify k into k 1546683945.715 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.715 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.716 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.716 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.716 * [misc]backup-simplify: Simplify 2 into 2 1546683945.716 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.716 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.716 * [misc]backup-simplify: Simplify PI into PI 1546683945.716 * [misc]taylor: Taking taylor expansion of n in n 1546683945.716 * [misc]backup-simplify: Simplify 0 into 0 1546683945.716 * [misc]backup-simplify: Simplify 1 into 1 1546683945.716 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.716 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.717 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.717 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.717 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.719 * [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))) 1546683945.719 * [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)))) 1546683945.720 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.720 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683945.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.720 * [misc]taylor: Taking taylor expansion of k in n 1546683945.720 * [misc]backup-simplify: Simplify k into k 1546683945.720 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.720 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683945.720 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.720 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683945.720 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of k in k 1546683945.721 * [misc]backup-simplify: Simplify 0 into 0 1546683945.721 * [misc]backup-simplify: Simplify 1 into 1 1546683945.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.721 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.721 * [misc]backup-simplify: Simplify 2 into 2 1546683945.721 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.721 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.721 * [misc]backup-simplify: Simplify PI into PI 1546683945.721 * [misc]taylor: Taking taylor expansion of n in k 1546683945.721 * [misc]backup-simplify: Simplify n into n 1546683945.721 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.722 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683945.722 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683945.722 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.722 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.722 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.722 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683945.722 * [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)))) 1546683945.723 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546683945.723 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683945.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.723 * [misc]taylor: Taking taylor expansion of k in k 1546683945.723 * [misc]backup-simplify: Simplify 0 into 0 1546683945.723 * [misc]backup-simplify: Simplify 1 into 1 1546683945.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.723 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.724 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.724 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.724 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.724 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of k in k 1546683945.724 * [misc]backup-simplify: Simplify 0 into 0 1546683945.724 * [misc]backup-simplify: Simplify 1 into 1 1546683945.724 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.724 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683945.724 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.725 * [misc]backup-simplify: Simplify 2 into 2 1546683945.725 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.725 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.725 * [misc]backup-simplify: Simplify PI into PI 1546683945.725 * [misc]taylor: Taking taylor expansion of n in k 1546683945.725 * [misc]backup-simplify: Simplify n into n 1546683945.725 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.725 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683945.725 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683945.725 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.725 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.726 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.726 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683945.726 * [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)))) 1546683945.726 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546683945.726 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683945.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.726 * [misc]taylor: Taking taylor expansion of k in k 1546683945.726 * [misc]backup-simplify: Simplify 0 into 0 1546683945.726 * [misc]backup-simplify: Simplify 1 into 1 1546683945.727 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.727 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.728 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546683945.728 * [misc]taylor: Taking taylor expansion of 0 in n 1546683945.728 * [misc]backup-simplify: Simplify 0 into 0 1546683945.728 * [misc]backup-simplify: Simplify 0 into 0 1546683945.728 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683945.729 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683945.729 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.729 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.729 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of k in n 1546683945.729 * [misc]backup-simplify: Simplify k into k 1546683945.729 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.729 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.729 * [misc]backup-simplify: Simplify 2 into 2 1546683945.729 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.729 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.729 * [misc]backup-simplify: Simplify PI into PI 1546683945.729 * [misc]taylor: Taking taylor expansion of n in n 1546683945.729 * [misc]backup-simplify: Simplify 0 into 0 1546683945.729 * [misc]backup-simplify: Simplify 1 into 1 1546683945.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.730 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.731 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.731 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.731 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.731 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.732 * [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))) 1546683945.733 * [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)))) 1546683945.734 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.734 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.735 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546683945.736 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546683945.736 * [misc]backup-simplify: Simplify 0 into 0 1546683945.736 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683945.737 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683945.738 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683945.738 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683945.738 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683945.738 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683945.738 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.739 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.739 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.739 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of k in n 1546683945.739 * [misc]backup-simplify: Simplify k into k 1546683945.739 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.739 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.739 * [misc]backup-simplify: Simplify 2 into 2 1546683945.739 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.739 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.739 * [misc]backup-simplify: Simplify PI into PI 1546683945.739 * [misc]taylor: Taking taylor expansion of n in n 1546683945.739 * [misc]backup-simplify: Simplify 0 into 0 1546683945.739 * [misc]backup-simplify: Simplify 1 into 1 1546683945.740 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.740 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.740 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.741 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.741 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.741 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.742 * [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))) 1546683945.743 * [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)))) 1546683945.743 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.744 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.745 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546683945.746 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546683945.747 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.747 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683945.750 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683945.751 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.752 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.753 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683945.754 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.756 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1546683945.757 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546683945.757 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.757 * [misc]backup-simplify: Simplify 0 into 0 1546683945.757 * [misc]backup-simplify: Simplify 0 into 0 1546683945.757 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.759 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683945.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683945.760 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683945.760 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.760 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.760 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.761 * [misc]taylor: Taking taylor expansion of k in n 1546683945.761 * [misc]backup-simplify: Simplify k into k 1546683945.761 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.761 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.761 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.761 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.761 * [misc]backup-simplify: Simplify 2 into 2 1546683945.761 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.761 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.761 * [misc]backup-simplify: Simplify PI into PI 1546683945.761 * [misc]taylor: Taking taylor expansion of n in n 1546683945.761 * [misc]backup-simplify: Simplify 0 into 0 1546683945.761 * [misc]backup-simplify: Simplify 1 into 1 1546683945.761 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.762 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.762 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.762 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.762 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.762 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.764 * [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))) 1546683945.764 * [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)))) 1546683945.765 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.766 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1546683945.766 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546683945.767 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1546683945.769 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1546683945.769 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1546683945.769 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546683945.769 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of -1 in n 1546683945.769 * [misc]backup-simplify: Simplify -1 into -1 1546683945.769 * [misc]taylor: Taking taylor expansion of k in n 1546683945.769 * [misc]backup-simplify: Simplify k into k 1546683945.769 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683945.769 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683945.769 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683945.769 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683945.769 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.770 * [misc]taylor: Taking taylor expansion of k in n 1546683945.770 * [misc]backup-simplify: Simplify k into k 1546683945.770 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.770 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.770 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.770 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.770 * [misc]backup-simplify: Simplify -2 into -2 1546683945.770 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.770 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.770 * [misc]backup-simplify: Simplify PI into PI 1546683945.770 * [misc]taylor: Taking taylor expansion of n in n 1546683945.770 * [misc]backup-simplify: Simplify 0 into 0 1546683945.770 * [misc]backup-simplify: Simplify 1 into 1 1546683945.770 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.770 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.770 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.770 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.771 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.771 * [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))) 1546683945.772 * [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)))) 1546683945.772 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546683945.772 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546683945.772 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683945.772 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683945.772 * [misc]taylor: Taking taylor expansion of -1 in k 1546683945.772 * [misc]backup-simplify: Simplify -1 into -1 1546683945.772 * [misc]taylor: Taking taylor expansion of k in k 1546683945.772 * [misc]backup-simplify: Simplify 0 into 0 1546683945.772 * [misc]backup-simplify: Simplify 1 into 1 1546683945.772 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683945.773 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.773 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683945.773 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of k in k 1546683945.773 * [misc]backup-simplify: Simplify 0 into 0 1546683945.773 * [misc]backup-simplify: Simplify 1 into 1 1546683945.773 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.773 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of -2 in k 1546683945.773 * [misc]backup-simplify: Simplify -2 into -2 1546683945.773 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.773 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.773 * [misc]backup-simplify: Simplify PI into PI 1546683945.773 * [misc]taylor: Taking taylor expansion of n in k 1546683945.773 * [misc]backup-simplify: Simplify n into n 1546683945.773 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.773 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683945.773 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683945.774 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.774 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.774 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683945.774 * [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))) 1546683945.774 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683945.774 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546683945.774 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683945.774 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683945.774 * [misc]taylor: Taking taylor expansion of -1 in k 1546683945.774 * [misc]backup-simplify: Simplify -1 into -1 1546683945.774 * [misc]taylor: Taking taylor expansion of k in k 1546683945.774 * [misc]backup-simplify: Simplify 0 into 0 1546683945.774 * [misc]backup-simplify: Simplify 1 into 1 1546683945.774 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683945.774 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.775 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683945.775 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of k in k 1546683945.775 * [misc]backup-simplify: Simplify 0 into 0 1546683945.775 * [misc]backup-simplify: Simplify 1 into 1 1546683945.775 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.775 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of -2 in k 1546683945.775 * [misc]backup-simplify: Simplify -2 into -2 1546683945.775 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.775 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.775 * [misc]backup-simplify: Simplify PI into PI 1546683945.775 * [misc]taylor: Taking taylor expansion of n in k 1546683945.775 * [misc]backup-simplify: Simplify n into n 1546683945.775 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.775 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683945.775 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683945.775 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.776 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.776 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683945.776 * [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))) 1546683945.776 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683945.776 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683945.776 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.776 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.776 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.776 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.776 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.776 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.776 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.776 * [misc]backup-simplify: Simplify -2 into -2 1546683945.776 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.776 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.776 * [misc]backup-simplify: Simplify PI into PI 1546683945.776 * [misc]taylor: Taking taylor expansion of n in n 1546683945.776 * [misc]backup-simplify: Simplify 0 into 0 1546683945.776 * [misc]backup-simplify: Simplify 1 into 1 1546683945.776 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.776 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.777 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.777 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.777 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.777 * [misc]taylor: Taking taylor expansion of k in n 1546683945.777 * [misc]backup-simplify: Simplify k into k 1546683945.777 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.778 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.778 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.778 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683945.779 * [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)))) 1546683945.779 * [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))))) 1546683945.779 * [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))))) 1546683945.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683945.780 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683945.781 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1546683945.781 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.781 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.781 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.781 * [misc]backup-simplify: Simplify -2 into -2 1546683945.781 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.781 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.781 * [misc]backup-simplify: Simplify PI into PI 1546683945.781 * [misc]taylor: Taking taylor expansion of n in n 1546683945.781 * [misc]backup-simplify: Simplify 0 into 0 1546683945.781 * [misc]backup-simplify: Simplify 1 into 1 1546683945.781 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.781 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.782 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.782 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.782 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.782 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.782 * [misc]taylor: Taking taylor expansion of k in n 1546683945.782 * [misc]backup-simplify: Simplify k into k 1546683945.782 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.782 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.782 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.782 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.783 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683945.783 * [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)))) 1546683945.783 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546683945.784 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546683945.784 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546683945.785 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546683945.785 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.785 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.785 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683945.786 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.786 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.787 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683945.789 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683945.790 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546683945.790 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.792 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1546683945.792 * [misc]backup-simplify: Simplify 0 into 0 1546683945.792 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.793 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683945.793 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1546683945.793 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.793 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.793 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.793 * [misc]backup-simplify: Simplify -2 into -2 1546683945.793 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.793 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.793 * [misc]backup-simplify: Simplify PI into PI 1546683945.794 * [misc]taylor: Taking taylor expansion of n in n 1546683945.794 * [misc]backup-simplify: Simplify 0 into 0 1546683945.794 * [misc]backup-simplify: Simplify 1 into 1 1546683945.794 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.794 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.794 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.794 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.794 * [misc]taylor: Taking taylor expansion of k in n 1546683945.794 * [misc]backup-simplify: Simplify k into k 1546683945.794 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.795 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.795 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.795 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.795 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683945.796 * [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)))) 1546683945.796 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546683945.797 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1546683945.797 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546683945.797 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1546683945.799 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1546683945.799 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546683945.799 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1546683945.799 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1546683945.799 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546683945.799 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683945.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.799 * [misc]taylor: Taking taylor expansion of k in n 1546683945.799 * [misc]backup-simplify: Simplify k into k 1546683945.799 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.799 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683945.799 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.800 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683945.800 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.800 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.800 * [misc]taylor: Taking taylor expansion of k in n 1546683945.800 * [misc]backup-simplify: Simplify k into k 1546683945.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.800 * [misc]backup-simplify: Simplify 2 into 2 1546683945.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.800 * [misc]taylor: Taking taylor expansion of n in n 1546683945.800 * [misc]backup-simplify: Simplify 0 into 0 1546683945.800 * [misc]backup-simplify: Simplify 1 into 1 1546683945.800 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.800 * [misc]backup-simplify: Simplify PI into PI 1546683945.800 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.800 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.801 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.801 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.801 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.801 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683945.801 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683945.801 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683945.802 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.802 * [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)))) 1546683945.803 * [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))))) 1546683945.803 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of k in k 1546683945.803 * [misc]backup-simplify: Simplify 0 into 0 1546683945.803 * [misc]backup-simplify: Simplify 1 into 1 1546683945.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.803 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.803 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.803 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683945.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.804 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683945.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.804 * [misc]taylor: Taking taylor expansion of k in k 1546683945.804 * [misc]backup-simplify: Simplify 0 into 0 1546683945.804 * [misc]backup-simplify: Simplify 1 into 1 1546683945.804 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683945.804 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683945.804 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.804 * [misc]backup-simplify: Simplify 2 into 2 1546683945.804 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683945.804 * [misc]taylor: Taking taylor expansion of n in k 1546683945.804 * [misc]backup-simplify: Simplify n into n 1546683945.804 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.804 * [misc]backup-simplify: Simplify PI into PI 1546683945.804 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683945.804 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683945.804 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683945.804 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683945.804 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.805 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.805 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683945.805 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683945.805 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546683945.805 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683945.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.805 * [misc]taylor: Taking taylor expansion of k in k 1546683945.805 * [misc]backup-simplify: Simplify 0 into 0 1546683945.805 * [misc]backup-simplify: Simplify 1 into 1 1546683945.805 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.805 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.806 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.806 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.806 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.806 * [misc]taylor: Taking taylor expansion of k in k 1546683945.806 * [misc]backup-simplify: Simplify 0 into 0 1546683945.806 * [misc]backup-simplify: Simplify 1 into 1 1546683945.806 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.806 * [misc]backup-simplify: Simplify 2 into 2 1546683945.806 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683945.806 * [misc]taylor: Taking taylor expansion of n in k 1546683945.806 * [misc]backup-simplify: Simplify n into n 1546683945.806 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.806 * [misc]backup-simplify: Simplify PI into PI 1546683945.807 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683945.807 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683945.807 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683945.807 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683945.807 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.807 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.807 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683945.807 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683945.808 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1546683945.808 * [misc]taylor: Taking taylor expansion of 0 in n 1546683945.808 * [misc]backup-simplify: Simplify 0 into 0 1546683945.808 * [misc]backup-simplify: Simplify 0 into 0 1546683945.808 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546683945.808 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546683945.809 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546683945.809 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683945.810 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.810 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546683945.810 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546683945.811 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546683945.811 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546683945.811 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683945.811 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.811 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.811 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683945.811 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.811 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.811 * [misc]backup-simplify: Simplify 2 into 2 1546683945.811 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.811 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683945.812 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.812 * [misc]taylor: Taking taylor expansion of n in n 1546683945.812 * [misc]backup-simplify: Simplify 0 into 0 1546683945.812 * [misc]backup-simplify: Simplify 1 into 1 1546683945.812 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.812 * [misc]backup-simplify: Simplify PI into PI 1546683945.812 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.813 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.813 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683945.813 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683945.814 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683945.814 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.814 * [misc]backup-simplify: Simplify 0 into 0 1546683945.814 * [misc]backup-simplify: Simplify 0 into 0 1546683945.815 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546683945.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546683945.817 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546683945.817 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683945.817 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.817 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546683945.819 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546683945.819 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683945.820 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683945.821 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1546683945.821 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546683945.821 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546683945.821 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546683945.821 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.821 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.821 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546683945.821 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546683945.821 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.821 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.821 * [misc]backup-simplify: Simplify 2 into 2 1546683945.822 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.822 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.822 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.822 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.822 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.822 * [misc]backup-simplify: Simplify 2 into 2 1546683945.822 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.822 * [misc]taylor: Taking taylor expansion of n in n 1546683945.822 * [misc]backup-simplify: Simplify 0 into 0 1546683945.822 * [misc]backup-simplify: Simplify 1 into 1 1546683945.822 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.822 * [misc]backup-simplify: Simplify PI into PI 1546683945.822 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.823 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.824 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.824 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.824 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683945.824 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.824 * [misc]taylor: Taking taylor expansion of n in n 1546683945.824 * [misc]backup-simplify: Simplify 0 into 0 1546683945.824 * [misc]backup-simplify: Simplify 1 into 1 1546683945.825 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.825 * [misc]backup-simplify: Simplify PI into PI 1546683945.825 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.826 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.826 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683945.826 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546683945.826 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683945.826 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.826 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.826 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683945.826 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.826 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.826 * [misc]backup-simplify: Simplify 2 into 2 1546683945.826 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.827 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.827 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683945.827 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.827 * [misc]taylor: Taking taylor expansion of n in n 1546683945.827 * [misc]backup-simplify: Simplify 0 into 0 1546683945.827 * [misc]backup-simplify: Simplify 1 into 1 1546683945.827 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.827 * [misc]backup-simplify: Simplify PI into PI 1546683945.828 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.829 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.829 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683945.830 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.831 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546683945.831 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546683945.831 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683945.832 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683945.832 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683945.832 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.832 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.832 * [misc]backup-simplify: Simplify 0 into 0 1546683945.834 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.835 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.837 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.838 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.838 * [misc]backup-simplify: Simplify 0 into 0 1546683945.839 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683945.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546683945.842 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1546683945.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546683945.843 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.843 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546683945.844 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1546683945.845 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.845 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683945.846 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1546683945.846 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1546683945.846 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1546683945.846 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546683945.846 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.846 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.846 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546683945.846 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546683945.846 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.846 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.846 * [misc]backup-simplify: Simplify 2 into 2 1546683945.846 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.846 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.846 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.847 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.847 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.847 * [misc]backup-simplify: Simplify 2 into 2 1546683945.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.847 * [misc]taylor: Taking taylor expansion of n in n 1546683945.847 * [misc]backup-simplify: Simplify 0 into 0 1546683945.847 * [misc]backup-simplify: Simplify 1 into 1 1546683945.847 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.847 * [misc]backup-simplify: Simplify PI into PI 1546683945.847 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.847 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.847 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.848 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.848 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.848 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683945.848 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.848 * [misc]taylor: Taking taylor expansion of n in n 1546683945.848 * [misc]backup-simplify: Simplify 0 into 0 1546683945.848 * [misc]backup-simplify: Simplify 1 into 1 1546683945.848 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.848 * [misc]backup-simplify: Simplify PI into PI 1546683945.848 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.849 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.849 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.849 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683945.849 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546683945.849 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546683945.849 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546683945.849 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.849 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.849 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546683945.849 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546683945.849 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.849 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.849 * [misc]backup-simplify: Simplify 2 into 2 1546683945.849 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.850 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.850 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546683945.850 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683945.850 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683945.850 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.850 * [misc]backup-simplify: Simplify 2 into 2 1546683945.850 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.850 * [misc]taylor: Taking taylor expansion of n in n 1546683945.850 * [misc]backup-simplify: Simplify 0 into 0 1546683945.850 * [misc]backup-simplify: Simplify 1 into 1 1546683945.850 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.850 * [misc]backup-simplify: Simplify PI into PI 1546683945.850 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.850 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683945.850 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.851 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683945.851 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.852 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.852 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683945.852 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.852 * [misc]taylor: Taking taylor expansion of n in n 1546683945.852 * [misc]backup-simplify: Simplify 0 into 0 1546683945.852 * [misc]backup-simplify: Simplify 1 into 1 1546683945.852 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.852 * [misc]backup-simplify: Simplify PI into PI 1546683945.852 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.852 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.852 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.853 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683945.853 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546683945.853 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683945.853 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.853 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.853 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683945.853 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683945.853 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.853 * [misc]backup-simplify: Simplify 2 into 2 1546683945.853 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683945.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683945.853 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683945.853 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683945.853 * [misc]taylor: Taking taylor expansion of n in n 1546683945.853 * [misc]backup-simplify: Simplify 0 into 0 1546683945.853 * [misc]backup-simplify: Simplify 1 into 1 1546683945.853 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.853 * [misc]backup-simplify: Simplify PI into PI 1546683945.853 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683945.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683945.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.854 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683945.854 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.855 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546683945.855 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546683945.855 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683945.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.857 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546683945.857 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546683945.858 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546683945.858 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683945.858 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683945.858 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683945.858 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.858 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.859 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.859 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.859 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.859 * [misc]backup-simplify: Simplify 0 into 0 1546683945.859 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683945.860 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683945.862 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.862 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683945.863 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546683945.863 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546683945.865 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546683945.865 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.867 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.867 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683945.871 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1546683945.874 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546683945.877 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546683945.879 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683945.880 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546683945.881 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546683945.884 * [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)))) 1546683945.888 * [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)))) 1546683945.890 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546683945.891 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546683945.898 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546683945.898 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1546683945.898 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1546683945.898 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.898 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683945.898 * [misc]taylor: Taking taylor expansion of k in n 1546683945.898 * [misc]backup-simplify: Simplify k into k 1546683945.898 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683945.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683945.899 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of k in n 1546683945.899 * [misc]backup-simplify: Simplify k into k 1546683945.899 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.899 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.899 * [misc]backup-simplify: Simplify 2 into 2 1546683945.899 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.899 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.899 * [misc]backup-simplify: Simplify PI into PI 1546683945.899 * [misc]taylor: Taking taylor expansion of n in n 1546683945.899 * [misc]backup-simplify: Simplify 0 into 0 1546683945.899 * [misc]backup-simplify: Simplify 1 into 1 1546683945.900 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.900 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.900 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.900 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.901 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.901 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.901 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.902 * [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))) 1546683945.903 * [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)))) 1546683945.903 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of k in k 1546683945.903 * [misc]backup-simplify: Simplify 0 into 0 1546683945.903 * [misc]backup-simplify: Simplify 1 into 1 1546683945.903 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.903 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.903 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.903 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.903 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.904 * [misc]taylor: Taking taylor expansion of k in k 1546683945.904 * [misc]backup-simplify: Simplify 0 into 0 1546683945.904 * [misc]backup-simplify: Simplify 1 into 1 1546683945.904 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.904 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683945.904 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683945.904 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.904 * [misc]backup-simplify: Simplify 2 into 2 1546683945.904 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.904 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.904 * [misc]backup-simplify: Simplify PI into PI 1546683945.904 * [misc]taylor: Taking taylor expansion of n in k 1546683945.904 * [misc]backup-simplify: Simplify n into n 1546683945.904 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.904 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683945.904 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683945.904 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.904 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.904 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.904 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683945.904 * [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)))) 1546683945.904 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of k in k 1546683945.905 * [misc]backup-simplify: Simplify 0 into 0 1546683945.905 * [misc]backup-simplify: Simplify 1 into 1 1546683945.905 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.905 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683945.905 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of k in k 1546683945.905 * [misc]backup-simplify: Simplify 0 into 0 1546683945.905 * [misc]backup-simplify: Simplify 1 into 1 1546683945.905 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.905 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of 2 in k 1546683945.905 * [misc]backup-simplify: Simplify 2 into 2 1546683945.905 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.905 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.905 * [misc]backup-simplify: Simplify PI into PI 1546683945.905 * [misc]taylor: Taking taylor expansion of n in k 1546683945.905 * [misc]backup-simplify: Simplify n into n 1546683945.905 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.906 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683945.906 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683945.906 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.906 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683945.906 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683945.906 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683945.906 * [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)))) 1546683945.906 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1546683945.906 * [misc]taylor: Taking taylor expansion of 0 in n 1546683945.906 * [misc]backup-simplify: Simplify 0 into 0 1546683945.906 * [misc]backup-simplify: Simplify 0 into 0 1546683945.907 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546683945.907 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.907 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.907 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.907 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of k in n 1546683945.907 * [misc]backup-simplify: Simplify k into k 1546683945.907 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.907 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.907 * [misc]backup-simplify: Simplify 2 into 2 1546683945.907 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.907 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.907 * [misc]backup-simplify: Simplify PI into PI 1546683945.907 * [misc]taylor: Taking taylor expansion of n in n 1546683945.907 * [misc]backup-simplify: Simplify 0 into 0 1546683945.907 * [misc]backup-simplify: Simplify 1 into 1 1546683945.907 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.907 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.908 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.908 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.908 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.908 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.908 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.909 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1546683945.909 * [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)))) 1546683945.910 * [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))))) 1546683945.910 * [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)))))) 1546683945.910 * [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)))))) 1546683945.910 * [misc]backup-simplify: Simplify 0 into 0 1546683945.911 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683945.911 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546683945.912 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.912 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.912 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.912 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of k in n 1546683945.912 * [misc]backup-simplify: Simplify k into k 1546683945.912 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.912 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.912 * [misc]backup-simplify: Simplify 2 into 2 1546683945.912 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.912 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.912 * [misc]backup-simplify: Simplify PI into PI 1546683945.912 * [misc]taylor: Taking taylor expansion of n in n 1546683945.912 * [misc]backup-simplify: Simplify 0 into 0 1546683945.912 * [misc]backup-simplify: Simplify 1 into 1 1546683945.912 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.912 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.913 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.913 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.913 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.913 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.913 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.914 * [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))) 1546683945.914 * [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)))) 1546683945.914 * [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))))) 1546683945.915 * [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)))))) 1546683945.915 * [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)))))) 1546683945.916 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.916 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683945.918 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683945.918 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.918 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683945.918 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.918 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.919 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.919 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683945.921 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.921 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546683945.922 * [misc]backup-simplify: Simplify (- 0) into 0 1546683945.922 * [misc]backup-simplify: Simplify 0 into 0 1546683945.922 * [misc]backup-simplify: Simplify 0 into 0 1546683945.922 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683945.923 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546683945.923 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.923 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.923 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of k in n 1546683945.923 * [misc]backup-simplify: Simplify k into k 1546683945.923 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.923 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of 2 in n 1546683945.923 * [misc]backup-simplify: Simplify 2 into 2 1546683945.923 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.923 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.923 * [misc]backup-simplify: Simplify PI into PI 1546683945.923 * [misc]taylor: Taking taylor expansion of n in n 1546683945.923 * [misc]backup-simplify: Simplify 0 into 0 1546683945.923 * [misc]backup-simplify: Simplify 1 into 1 1546683945.923 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.924 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683945.924 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683945.924 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.924 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683945.924 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683945.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683945.925 * [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))) 1546683945.925 * [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)))) 1546683945.926 * [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))))) 1546683945.926 * [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)))))) 1546683945.926 * [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)))))) 1546683945.928 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1546683945.928 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546683945.928 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546683945.928 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.928 * [misc]taylor: Taking taylor expansion of k in n 1546683945.929 * [misc]backup-simplify: Simplify k into k 1546683945.929 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.929 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.929 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.929 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.929 * [misc]backup-simplify: Simplify -2 into -2 1546683945.929 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.929 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.929 * [misc]backup-simplify: Simplify PI into PI 1546683945.929 * [misc]taylor: Taking taylor expansion of n in n 1546683945.929 * [misc]backup-simplify: Simplify 0 into 0 1546683945.929 * [misc]backup-simplify: Simplify 1 into 1 1546683945.929 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.929 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.929 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.930 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.930 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.930 * [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))) 1546683945.931 * [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)))) 1546683945.931 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683945.931 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683945.931 * [misc]taylor: Taking taylor expansion of -1 in n 1546683945.931 * [misc]backup-simplify: Simplify -1 into -1 1546683945.931 * [misc]taylor: Taking taylor expansion of k in n 1546683945.931 * [misc]backup-simplify: Simplify k into k 1546683945.931 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683945.931 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683945.931 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683945.931 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683945.931 * [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))) 1546683945.932 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of k in k 1546683945.932 * [misc]backup-simplify: Simplify 0 into 0 1546683945.932 * [misc]backup-simplify: Simplify 1 into 1 1546683945.932 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.932 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.932 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of -2 in k 1546683945.932 * [misc]backup-simplify: Simplify -2 into -2 1546683945.932 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.932 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.932 * [misc]backup-simplify: Simplify PI into PI 1546683945.932 * [misc]taylor: Taking taylor expansion of n in k 1546683945.932 * [misc]backup-simplify: Simplify n into n 1546683945.932 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.932 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683945.932 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683945.932 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.932 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.932 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683945.933 * [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))) 1546683945.933 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of -1 in k 1546683945.933 * [misc]backup-simplify: Simplify -1 into -1 1546683945.933 * [misc]taylor: Taking taylor expansion of k in k 1546683945.933 * [misc]backup-simplify: Simplify 0 into 0 1546683945.933 * [misc]backup-simplify: Simplify 1 into 1 1546683945.933 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683945.933 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.933 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683945.933 * [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)))) 1546683945.933 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683945.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.934 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of k in k 1546683945.934 * [misc]backup-simplify: Simplify 0 into 0 1546683945.934 * [misc]backup-simplify: Simplify 1 into 1 1546683945.934 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683945.934 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683945.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.934 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of -2 in k 1546683945.934 * [misc]backup-simplify: Simplify -2 into -2 1546683945.934 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of PI in k 1546683945.934 * [misc]backup-simplify: Simplify PI into PI 1546683945.934 * [misc]taylor: Taking taylor expansion of n in k 1546683945.934 * [misc]backup-simplify: Simplify n into n 1546683945.934 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683945.934 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683945.934 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683945.934 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683945.934 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683945.934 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683945.934 * [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))) 1546683945.934 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683945.934 * [misc]taylor: Taking taylor expansion of -1 in k 1546683945.934 * [misc]backup-simplify: Simplify -1 into -1 1546683945.935 * [misc]taylor: Taking taylor expansion of k in k 1546683945.935 * [misc]backup-simplify: Simplify 0 into 0 1546683945.935 * [misc]backup-simplify: Simplify 1 into 1 1546683945.935 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683945.935 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683945.935 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683945.935 * [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)))) 1546683945.935 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683945.935 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.935 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.935 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.935 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.935 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.935 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.935 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.936 * [misc]backup-simplify: Simplify -2 into -2 1546683945.936 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.936 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.936 * [misc]backup-simplify: Simplify PI into PI 1546683945.936 * [misc]taylor: Taking taylor expansion of n in n 1546683945.936 * [misc]backup-simplify: Simplify 0 into 0 1546683945.936 * [misc]backup-simplify: Simplify 1 into 1 1546683945.936 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.936 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.937 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.937 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.937 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.937 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.937 * [misc]taylor: Taking taylor expansion of k in n 1546683945.937 * [misc]backup-simplify: Simplify k into k 1546683945.937 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.938 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.938 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.938 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.939 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683945.939 * [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)))) 1546683945.940 * [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))))) 1546683945.941 * [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))))) 1546683945.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683945.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683945.943 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683945.943 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.943 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.943 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.943 * [misc]backup-simplify: Simplify -2 into -2 1546683945.943 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.943 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.943 * [misc]backup-simplify: Simplify PI into PI 1546683945.943 * [misc]taylor: Taking taylor expansion of n in n 1546683945.943 * [misc]backup-simplify: Simplify 0 into 0 1546683945.943 * [misc]backup-simplify: Simplify 1 into 1 1546683945.943 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.944 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.944 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.944 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.944 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.944 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.944 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.944 * [misc]taylor: Taking taylor expansion of k in n 1546683945.944 * [misc]backup-simplify: Simplify k into k 1546683945.944 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.944 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.945 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.945 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.945 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.946 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683945.946 * [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)))) 1546683945.947 * [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))))) 1546683945.948 * [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)))))) 1546683945.948 * [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)))))) 1546683945.949 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.949 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683945.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683945.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683945.951 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683945.951 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683945.954 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683945.955 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546683945.956 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683945.957 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546683945.957 * [misc]backup-simplify: Simplify 0 into 0 1546683945.958 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683945.959 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683945.959 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683945.960 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683945.960 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683945.960 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of -2 in n 1546683945.960 * [misc]backup-simplify: Simplify -2 into -2 1546683945.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of PI in n 1546683945.960 * [misc]backup-simplify: Simplify PI into PI 1546683945.960 * [misc]taylor: Taking taylor expansion of n in n 1546683945.960 * [misc]backup-simplify: Simplify 0 into 0 1546683945.960 * [misc]backup-simplify: Simplify 1 into 1 1546683945.960 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683945.960 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683945.960 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683945.960 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683945.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683945.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683945.961 * [misc]taylor: Taking taylor expansion of k in n 1546683945.961 * [misc]backup-simplify: Simplify k into k 1546683945.961 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683945.961 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683945.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683945.961 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683945.961 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683945.961 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683945.962 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683945.962 * [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)))) 1546683945.962 * [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))))) 1546683945.963 * [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)))))) 1546683945.963 * [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)))))) 1546683945.965 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1546683945.965 * * * [misc]progress: simplifying candidates 1546683945.965 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1546683945.965 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1546683945.965 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1546683945.965 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546683945.965 * * [misc]simplify: iters left: 6 (11 enodes) 1546683945.967 * * [misc]simplify: iters left: 5 (21 enodes) 1546683945.971 * * [misc]simplify: iters left: 4 (47 enodes) 1546683945.979 * * [misc]simplify: iters left: 3 (113 enodes) 1546683946.022 * * [misc]simplify: iters left: 2 (328 enodes) 1546683946.288 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546683946.288 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546683946.288 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1546683946.288 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1546683946.288 * [enter]simplify: Simplifying (* PI (* n 2)) 1546683946.289 * * [misc]simplify: iters left: 4 (5 enodes) 1546683946.290 * * [misc]simplify: iters left: 3 (9 enodes) 1546683946.292 * * [misc]simplify: iters left: 2 (15 enodes) 1546683946.294 * * [misc]simplify: iters left: 1 (17 enodes) 1546683946.296 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546683946.296 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546683946.296 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1546683946.296 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546683946.296 * * [misc]simplify: iters left: 5 (8 enodes) 1546683946.297 * * [misc]simplify: iters left: 4 (12 enodes) 1546683946.299 * * [misc]simplify: iters left: 3 (18 enodes) 1546683946.302 * * [misc]simplify: iters left: 2 (20 enodes) 1546683946.304 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546683946.304 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1546683946.304 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1546683946.304 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546683946.304 * * [misc]simplify: iters left: 5 (6 enodes) 1546683946.305 * * [misc]simplify: iters left: 4 (8 enodes) 1546683946.306 * * [misc]simplify: iters left: 3 (11 enodes) 1546683946.308 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546683946.308 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1546683946.308 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1546683946.308 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546683946.308 * * [misc]simplify: iters left: 5 (6 enodes) 1546683946.309 * * [misc]simplify: iters left: 4 (8 enodes) 1546683946.310 * * [misc]simplify: iters left: 3 (11 enodes) 1546683946.312 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546683946.312 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1546683946.312 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1546683946.312 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546683946.312 * * [misc]simplify: iters left: 4 (5 enodes) 1546683946.313 * * [misc]simplify: iters left: 3 (7 enodes) 1546683946.314 * * [misc]simplify: iters left: 2 (10 enodes) 1546683946.315 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546683946.315 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546683946.315 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1546683946.315 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683946.315 * * [misc]simplify: iters left: 5 (9 enodes) 1546683946.317 * * [misc]simplify: iters left: 4 (15 enodes) 1546683946.319 * * [misc]simplify: iters left: 3 (21 enodes) 1546683946.322 * * [misc]simplify: iters left: 2 (22 enodes) 1546683946.324 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683946.324 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683946.324 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1546683946.324 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683946.325 * * [misc]simplify: iters left: 5 (9 enodes) 1546683946.326 * * [misc]simplify: iters left: 4 (15 enodes) 1546683946.328 * * [misc]simplify: iters left: 3 (21 enodes) 1546683946.330 * * [misc]simplify: iters left: 2 (22 enodes) 1546683946.333 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683946.333 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683946.333 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1546683946.333 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546683946.333 * * [misc]simplify: iters left: 5 (7 enodes) 1546683946.334 * * [misc]simplify: iters left: 4 (9 enodes) 1546683946.336 * * [misc]simplify: iters left: 3 (12 enodes) 1546683946.337 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546683946.337 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683946.337 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1546683946.337 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1546683946.338 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1546683946.338 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546683946.338 * * [misc]simplify: iters left: 6 (14 enodes) 1546683946.340 * * [misc]simplify: iters left: 5 (26 enodes) 1546683946.345 * * [misc]simplify: iters left: 4 (59 enodes) 1546683946.360 * * [misc]simplify: iters left: 3 (172 enodes) 1546683946.425 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1546683946.425 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1546683946.425 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1546683946.426 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546683946.426 * * [misc]simplify: iters left: 6 (14 enodes) 1546683946.430 * * [misc]simplify: iters left: 5 (26 enodes) 1546683946.439 * * [misc]simplify: iters left: 4 (59 enodes) 1546683946.461 * * [misc]simplify: iters left: 3 (172 enodes) 1546683946.534 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1546683946.534 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1546683946.534 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1546683946.535 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683946.535 * * [misc]simplify: iters left: 6 (14 enodes) 1546683946.539 * * [misc]simplify: iters left: 5 (24 enodes) 1546683946.547 * * [misc]simplify: iters left: 4 (46 enodes) 1546683946.561 * * [misc]simplify: iters left: 3 (105 enodes) 1546683946.613 * * [misc]simplify: iters left: 2 (354 enodes) 1546683946.874 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1546683946.875 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1546683946.875 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1546683946.875 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1546683946.875 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1546683946.875 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683946.875 * * [misc]simplify: iters left: 6 (16 enodes) 1546683946.881 * * [misc]simplify: iters left: 5 (31 enodes) 1546683946.891 * * [misc]simplify: iters left: 4 (70 enodes) 1546683946.915 * * [misc]simplify: iters left: 3 (130 enodes) 1546683946.958 * * [misc]simplify: iters left: 2 (206 enodes) 1546683947.027 * * [misc]simplify: iters left: 1 (288 enodes) 1546683947.168 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1546683947.168 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546683947.168 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1546683947.168 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1546683947.168 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1546683947.168 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1546683947.168 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1546683947.168 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546683947.168 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.170 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.172 * * [misc]simplify: iters left: 4 (27 enodes) 1546683947.176 * * [misc]simplify: iters left: 3 (29 enodes) 1546683947.179 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546683947.180 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546683947.180 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.180 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.181 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.184 * * [misc]simplify: iters left: 4 (24 enodes) 1546683947.187 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.190 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683947.190 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683947.190 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1546683947.190 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546683947.190 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.193 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.199 * * [misc]simplify: iters left: 4 (27 enodes) 1546683947.206 * * [misc]simplify: iters left: 3 (29 enodes) 1546683947.210 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546683947.210 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546683947.210 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.210 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.212 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.214 * * [misc]simplify: iters left: 4 (24 enodes) 1546683947.217 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.220 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683947.221 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683947.221 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1546683947.221 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546683947.221 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.222 * * [misc]simplify: iters left: 5 (15 enodes) 1546683947.225 * * [misc]simplify: iters left: 4 (20 enodes) 1546683947.227 * * [misc]simplify: iters left: 3 (21 enodes) 1546683947.230 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546683947.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683947.230 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.230 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.232 * * [misc]simplify: iters left: 5 (14 enodes) 1546683947.234 * * [misc]simplify: iters left: 4 (17 enodes) 1546683947.237 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.237 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683947.237 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1546683947.237 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683947.237 * * [misc]simplify: iters left: 6 (16 enodes) 1546683947.243 * * [misc]simplify: iters left: 5 (28 enodes) 1546683947.252 * * [misc]simplify: iters left: 4 (46 enodes) 1546683947.264 * * [misc]simplify: iters left: 3 (50 enodes) 1546683947.276 * * [misc]simplify: iters left: 2 (53 enodes) 1546683947.290 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683947.290 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683947.290 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.290 * * [misc]simplify: iters left: 6 (14 enodes) 1546683947.294 * * [misc]simplify: iters left: 5 (20 enodes) 1546683947.301 * * [misc]simplify: iters left: 4 (29 enodes) 1546683947.308 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.316 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683947.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683947.316 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1546683947.316 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.317 * * [misc]simplify: iters left: 6 (15 enodes) 1546683947.321 * * [misc]simplify: iters left: 5 (23 enodes) 1546683947.328 * * [misc]simplify: iters left: 4 (34 enodes) 1546683947.334 * * [misc]simplify: iters left: 3 (36 enodes) 1546683947.339 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683947.339 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683947.339 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.339 * * [misc]simplify: iters left: 6 (14 enodes) 1546683947.341 * * [misc]simplify: iters left: 5 (20 enodes) 1546683947.344 * * [misc]simplify: iters left: 4 (29 enodes) 1546683947.348 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.352 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683947.352 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683947.352 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1546683947.352 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546683947.352 * * [misc]simplify: iters left: 6 (6 enodes) 1546683947.353 * * [misc]simplify: iters left: 5 (10 enodes) 1546683947.355 * * [misc]simplify: iters left: 4 (16 enodes) 1546683947.356 * * [misc]simplify: iters left: 3 (18 enodes) 1546683947.358 * * [misc]simplify: iters left: 2 (23 enodes) 1546683947.364 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546683947.364 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683947.364 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683947.364 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.368 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.374 * * [misc]simplify: iters left: 4 (28 enodes) 1546683947.381 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.389 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546683947.389 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546683947.389 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1546683947.389 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546683947.389 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.393 * * [misc]simplify: iters left: 5 (16 enodes) 1546683947.397 * * [misc]simplify: iters left: 4 (22 enodes) 1546683947.403 * * [misc]simplify: iters left: 3 (23 enodes) 1546683947.406 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546683947.406 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546683947.406 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.406 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.408 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.410 * * [misc]simplify: iters left: 4 (24 enodes) 1546683947.413 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.416 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683947.416 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683947.416 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1546683947.416 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546683947.417 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.418 * * [misc]simplify: iters left: 5 (16 enodes) 1546683947.420 * * [misc]simplify: iters left: 4 (22 enodes) 1546683947.423 * * [misc]simplify: iters left: 3 (23 enodes) 1546683947.429 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546683947.429 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546683947.429 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.429 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.432 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.434 * * [misc]simplify: iters left: 4 (24 enodes) 1546683947.437 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.440 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683947.440 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683947.441 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1546683947.441 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546683947.441 * * [misc]simplify: iters left: 6 (10 enodes) 1546683947.442 * * [misc]simplify: iters left: 5 (12 enodes) 1546683947.444 * * [misc]simplify: iters left: 4 (15 enodes) 1546683947.446 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546683947.446 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683947.446 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.446 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.447 * * [misc]simplify: iters left: 5 (14 enodes) 1546683947.449 * * [misc]simplify: iters left: 4 (17 enodes) 1546683947.451 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.452 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683947.452 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1546683947.452 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683947.452 * * [misc]simplify: iters left: 6 (15 enodes) 1546683947.454 * * [misc]simplify: iters left: 5 (23 enodes) 1546683947.458 * * [misc]simplify: iters left: 4 (32 enodes) 1546683947.466 * * [misc]simplify: iters left: 3 (34 enodes) 1546683947.474 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683947.474 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683947.475 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.475 * * [misc]simplify: iters left: 6 (14 enodes) 1546683947.479 * * [misc]simplify: iters left: 5 (20 enodes) 1546683947.484 * * [misc]simplify: iters left: 4 (29 enodes) 1546683947.488 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.491 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683947.491 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683947.491 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1546683947.491 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.492 * * [misc]simplify: iters left: 6 (14 enodes) 1546683947.493 * * [misc]simplify: iters left: 5 (20 enodes) 1546683947.496 * * [misc]simplify: iters left: 4 (29 enodes) 1546683947.500 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.503 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683947.504 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683947.504 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.504 * * [misc]simplify: iters left: 6 (14 enodes) 1546683947.506 * * [misc]simplify: iters left: 5 (20 enodes) 1546683947.508 * * [misc]simplify: iters left: 4 (29 enodes) 1546683947.514 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.520 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683947.520 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683947.520 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1546683947.520 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546683947.521 * * [misc]simplify: iters left: 4 (5 enodes) 1546683947.521 * * [misc]simplify: iters left: 3 (7 enodes) 1546683947.523 * * [misc]simplify: iters left: 2 (9 enodes) 1546683947.523 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546683947.523 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683947.524 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683947.524 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.525 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.528 * * [misc]simplify: iters left: 4 (28 enodes) 1546683947.531 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.535 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546683947.535 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546683947.535 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1546683947.535 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546683947.535 * * [misc]simplify: iters left: 6 (9 enodes) 1546683947.537 * * [misc]simplify: iters left: 5 (16 enodes) 1546683947.539 * * [misc]simplify: iters left: 4 (22 enodes) 1546683947.541 * * [misc]simplify: iters left: 3 (23 enodes) 1546683947.544 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546683947.544 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546683947.544 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.544 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.547 * * [misc]simplify: iters left: 5 (17 enodes) 1546683947.551 * * [misc]simplify: iters left: 4 (23 enodes) 1546683947.557 * * [misc]simplify: iters left: 3 (24 enodes) 1546683947.563 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546683947.563 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546683947.564 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1546683947.564 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546683947.564 * * [misc]simplify: iters left: 6 (9 enodes) 1546683947.567 * * [misc]simplify: iters left: 5 (16 enodes) 1546683947.571 * * [misc]simplify: iters left: 4 (22 enodes) 1546683947.577 * * [misc]simplify: iters left: 3 (23 enodes) 1546683947.582 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546683947.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546683947.582 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.583 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.586 * * [misc]simplify: iters left: 5 (17 enodes) 1546683947.591 * * [misc]simplify: iters left: 4 (23 enodes) 1546683947.597 * * [misc]simplify: iters left: 3 (24 enodes) 1546683947.603 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546683947.603 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546683947.603 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1546683947.603 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546683947.603 * * [misc]simplify: iters left: 6 (9 enodes) 1546683947.606 * * [misc]simplify: iters left: 5 (13 enodes) 1546683947.609 * * [misc]simplify: iters left: 4 (16 enodes) 1546683947.614 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546683947.614 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683947.614 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.614 * * [misc]simplify: iters left: 6 (10 enodes) 1546683947.617 * * [misc]simplify: iters left: 5 (13 enodes) 1546683947.621 * * [misc]simplify: iters left: 4 (16 enodes) 1546683947.626 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.626 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683947.626 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1546683947.627 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683947.627 * * [misc]simplify: iters left: 6 (14 enodes) 1546683947.631 * * [misc]simplify: iters left: 5 (24 enodes) 1546683947.638 * * [misc]simplify: iters left: 4 (33 enodes) 1546683947.647 * * [misc]simplify: iters left: 3 (34 enodes) 1546683947.656 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546683947.656 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683947.656 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.656 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.660 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.666 * * [misc]simplify: iters left: 4 (28 enodes) 1546683947.673 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.681 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546683947.681 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1546683947.681 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1546683947.681 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.681 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.685 * * [misc]simplify: iters left: 5 (21 enodes) 1546683947.691 * * [misc]simplify: iters left: 4 (30 enodes) 1546683947.699 * * [misc]simplify: iters left: 3 (31 enodes) 1546683947.706 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546683947.706 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683947.707 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.707 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.711 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.716 * * [misc]simplify: iters left: 4 (28 enodes) 1546683947.724 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.731 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546683947.731 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1546683947.731 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1546683947.732 * [enter]simplify: Simplifying (/ 1 1) 1546683947.732 * * [misc]simplify: iters left: 2 (2 enodes) 1546683947.732 * * [misc]simplify: iters left: 1 (4 enodes) 1546683947.733 * [exit]simplify: Simplified to 1 1546683947.733 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683947.733 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683947.733 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.737 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.742 * * [misc]simplify: iters left: 4 (27 enodes) 1546683947.748 * * [misc]simplify: iters left: 3 (29 enodes) 1546683947.755 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683947.755 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683947.755 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1546683947.755 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1546683947.755 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1546683947.755 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1546683947.756 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683947.756 * * [misc]simplify: iters left: 5 (9 enodes) 1546683947.758 * * [misc]simplify: iters left: 4 (15 enodes) 1546683947.762 * * [misc]simplify: iters left: 3 (21 enodes) 1546683947.767 * * [misc]simplify: iters left: 2 (22 enodes) 1546683947.773 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683947.773 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546683947.773 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1546683947.773 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683947.773 * * [misc]simplify: iters left: 5 (9 enodes) 1546683947.776 * * [misc]simplify: iters left: 4 (15 enodes) 1546683947.780 * * [misc]simplify: iters left: 3 (21 enodes) 1546683947.786 * * [misc]simplify: iters left: 2 (22 enodes) 1546683947.791 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683947.791 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546683947.791 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1546683947.792 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546683947.792 * * [misc]simplify: iters left: 5 (8 enodes) 1546683947.794 * * [misc]simplify: iters left: 4 (11 enodes) 1546683947.797 * * [misc]simplify: iters left: 3 (14 enodes) 1546683947.801 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546683947.801 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683947.801 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1546683947.802 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683947.802 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.805 * * [misc]simplify: iters left: 5 (17 enodes) 1546683947.810 * * [misc]simplify: iters left: 4 (26 enodes) 1546683947.817 * * [misc]simplify: iters left: 3 (27 enodes) 1546683947.823 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546683947.824 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546683947.824 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1546683947.824 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683947.824 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.828 * * [misc]simplify: iters left: 5 (17 enodes) 1546683947.833 * * [misc]simplify: iters left: 4 (26 enodes) 1546683947.840 * * [misc]simplify: iters left: 3 (27 enodes) 1546683947.847 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546683947.847 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546683947.847 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1546683947.847 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546683947.847 * * [misc]simplify: iters left: 5 (10 enodes) 1546683947.851 * * [misc]simplify: iters left: 4 (16 enodes) 1546683947.856 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.862 * * [misc]simplify: iters left: 2 (26 enodes) 1546683947.869 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546683947.869 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546683947.869 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1546683947.869 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546683947.870 * * [misc]simplify: iters left: 4 (4 enodes) 1546683947.871 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546683947.871 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683947.871 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1546683947.871 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546683947.871 * * [misc]simplify: iters left: 2 (3 enodes) 1546683947.872 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546683947.872 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683947.872 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1546683947.872 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1546683947.873 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546683947.873 * * [misc]simplify: iters left: 5 (8 enodes) 1546683947.875 * * [misc]simplify: iters left: 4 (12 enodes) 1546683947.879 * * [misc]simplify: iters left: 3 (18 enodes) 1546683947.884 * * [misc]simplify: iters left: 2 (20 enodes) 1546683947.889 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546683947.889 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1546683947.889 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1546683947.889 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1546683947.889 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1546683947.889 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1546683947.889 * [enter]simplify: Simplifying (- 1) 1546683947.889 * * [misc]simplify: iters left: 2 (2 enodes) 1546683947.891 * * [misc]simplify: iters left: 1 (5 enodes) 1546683947.892 * [exit]simplify: Simplified to -1 1546683947.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1546683947.892 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1546683947.892 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1546683947.893 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1546683947.893 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1546683947.893 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1546683947.893 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.893 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.897 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.902 * * [misc]simplify: iters left: 4 (28 enodes) 1546683947.910 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.917 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546683947.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546683947.917 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1546683947.917 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683947.917 * * [misc]simplify: iters left: 6 (13 enodes) 1546683947.922 * * [misc]simplify: iters left: 5 (19 enodes) 1546683947.927 * * [misc]simplify: iters left: 4 (28 enodes) 1546683947.935 * * [misc]simplify: iters left: 3 (30 enodes) 1546683947.942 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546683947.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546683947.943 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1546683947.943 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.943 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.946 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.952 * * [misc]simplify: iters left: 4 (24 enodes) 1546683947.958 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.964 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683947.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546683947.964 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1546683947.964 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683947.964 * * [misc]simplify: iters left: 6 (12 enodes) 1546683947.968 * * [misc]simplify: iters left: 5 (18 enodes) 1546683947.973 * * [misc]simplify: iters left: 4 (24 enodes) 1546683947.979 * * [misc]simplify: iters left: 3 (25 enodes) 1546683947.987 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683947.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546683947.988 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1546683947.988 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683947.988 * * [misc]simplify: iters left: 6 (11 enodes) 1546683947.991 * * [misc]simplify: iters left: 5 (14 enodes) 1546683947.996 * * [misc]simplify: iters left: 4 (17 enodes) 1546683948.001 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683948.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683948.001 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1546683948.001 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683948.001 * * [misc]simplify: iters left: 6 (14 enodes) 1546683948.004 * * [misc]simplify: iters left: 5 (20 enodes) 1546683948.007 * * [misc]simplify: iters left: 4 (29 enodes) 1546683948.011 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.014 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683948.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546683948.014 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1546683948.015 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683948.015 * * [misc]simplify: iters left: 6 (14 enodes) 1546683948.017 * * [misc]simplify: iters left: 5 (20 enodes) 1546683948.019 * * [misc]simplify: iters left: 4 (29 enodes) 1546683948.023 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.027 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683948.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546683948.027 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1546683948.027 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.027 * * [misc]simplify: iters left: 6 (13 enodes) 1546683948.029 * * [misc]simplify: iters left: 5 (19 enodes) 1546683948.032 * * [misc]simplify: iters left: 4 (28 enodes) 1546683948.035 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.041 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546683948.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1546683948.041 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1546683948.041 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683948.041 * * [misc]simplify: iters left: 6 (12 enodes) 1546683948.043 * * [misc]simplify: iters left: 5 (18 enodes) 1546683948.046 * * [misc]simplify: iters left: 4 (24 enodes) 1546683948.049 * * [misc]simplify: iters left: 3 (25 enodes) 1546683948.052 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683948.052 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546683948.052 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1546683948.052 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683948.052 * * [misc]simplify: iters left: 6 (12 enodes) 1546683948.054 * * [misc]simplify: iters left: 5 (18 enodes) 1546683948.056 * * [misc]simplify: iters left: 4 (24 enodes) 1546683948.059 * * [misc]simplify: iters left: 3 (25 enodes) 1546683948.063 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546683948.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1546683948.063 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1546683948.063 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683948.063 * * [misc]simplify: iters left: 6 (11 enodes) 1546683948.065 * * [misc]simplify: iters left: 5 (14 enodes) 1546683948.067 * * [misc]simplify: iters left: 4 (17 enodes) 1546683948.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683948.069 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683948.070 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1546683948.070 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683948.070 * * [misc]simplify: iters left: 6 (14 enodes) 1546683948.072 * * [misc]simplify: iters left: 5 (20 enodes) 1546683948.074 * * [misc]simplify: iters left: 4 (29 enodes) 1546683948.078 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.082 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683948.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546683948.082 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1546683948.082 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683948.082 * * [misc]simplify: iters left: 6 (14 enodes) 1546683948.084 * * [misc]simplify: iters left: 5 (20 enodes) 1546683948.087 * * [misc]simplify: iters left: 4 (29 enodes) 1546683948.090 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.094 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546683948.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1546683948.094 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1546683948.094 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.095 * * [misc]simplify: iters left: 6 (13 enodes) 1546683948.099 * * [misc]simplify: iters left: 5 (19 enodes) 1546683948.104 * * [misc]simplify: iters left: 4 (28 enodes) 1546683948.111 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.115 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546683948.115 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1546683948.115 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1546683948.115 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683948.115 * * [misc]simplify: iters left: 6 (11 enodes) 1546683948.117 * * [misc]simplify: iters left: 5 (17 enodes) 1546683948.119 * * [misc]simplify: iters left: 4 (23 enodes) 1546683948.122 * * [misc]simplify: iters left: 3 (24 enodes) 1546683948.125 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546683948.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1546683948.125 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1546683948.125 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546683948.125 * * [misc]simplify: iters left: 6 (11 enodes) 1546683948.127 * * [misc]simplify: iters left: 5 (17 enodes) 1546683948.129 * * [misc]simplify: iters left: 4 (23 enodes) 1546683948.132 * * [misc]simplify: iters left: 3 (24 enodes) 1546683948.135 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546683948.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1546683948.135 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1546683948.135 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683948.135 * * [misc]simplify: iters left: 6 (10 enodes) 1546683948.137 * * [misc]simplify: iters left: 5 (13 enodes) 1546683948.139 * * [misc]simplify: iters left: 4 (16 enodes) 1546683948.141 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683948.141 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683948.141 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1546683948.141 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683948.141 * * [misc]simplify: iters left: 6 (13 enodes) 1546683948.143 * * [misc]simplify: iters left: 5 (19 enodes) 1546683948.149 * * [misc]simplify: iters left: 4 (28 enodes) 1546683948.156 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.162 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546683948.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546683948.162 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1546683948.162 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683948.162 * * [misc]simplify: iters left: 6 (13 enodes) 1546683948.164 * * [misc]simplify: iters left: 5 (19 enodes) 1546683948.166 * * [misc]simplify: iters left: 4 (28 enodes) 1546683948.170 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.174 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546683948.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1546683948.174 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1546683948.174 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.174 * * [misc]simplify: iters left: 6 (12 enodes) 1546683948.176 * * [misc]simplify: iters left: 5 (18 enodes) 1546683948.178 * * [misc]simplify: iters left: 4 (27 enodes) 1546683948.182 * * [misc]simplify: iters left: 3 (29 enodes) 1546683948.186 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.186 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683948.186 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1546683948.186 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.186 * * [misc]simplify: iters left: 6 (12 enodes) 1546683948.188 * * [misc]simplify: iters left: 5 (18 enodes) 1546683948.190 * * [misc]simplify: iters left: 4 (27 enodes) 1546683948.197 * * [misc]simplify: iters left: 3 (29 enodes) 1546683948.204 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683948.204 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1546683948.205 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683948.205 * * [misc]simplify: iters left: 6 (12 enodes) 1546683948.209 * * [misc]simplify: iters left: 5 (20 enodes) 1546683948.214 * * [misc]simplify: iters left: 4 (29 enodes) 1546683948.220 * * [misc]simplify: iters left: 3 (30 enodes) 1546683948.224 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546683948.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546683948.224 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1546683948.224 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546683948.224 * * [misc]simplify: iters left: 5 (8 enodes) 1546683948.226 * * [misc]simplify: iters left: 4 (12 enodes) 1546683948.227 * * [misc]simplify: iters left: 3 (18 enodes) 1546683948.230 * * [misc]simplify: iters left: 2 (20 enodes) 1546683948.232 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546683948.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546683948.232 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1546683948.232 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546683948.232 * * [misc]simplify: iters left: 5 (10 enodes) 1546683948.234 * * [misc]simplify: iters left: 4 (16 enodes) 1546683948.236 * * [misc]simplify: iters left: 3 (25 enodes) 1546683948.239 * * [misc]simplify: iters left: 2 (26 enodes) 1546683948.243 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546683948.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546683948.243 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1546683948.243 * [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))))) 1546683948.243 * * [misc]simplify: iters left: 6 (37 enodes) 1546683948.251 * * [misc]simplify: iters left: 5 (108 enodes) 1546683948.296 * * [misc]simplify: iters left: 4 (368 enodes) 1546683948.525 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546683948.525 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))) 1546683948.526 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1546683948.526 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546683948.526 * * [misc]simplify: iters left: 6 (15 enodes) 1546683948.537 * * [misc]simplify: iters left: 5 (33 enodes) 1546683948.548 * * [misc]simplify: iters left: 4 (64 enodes) 1546683948.572 * * [misc]simplify: iters left: 3 (179 enodes) 1546683949.095 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546683949.095 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1546683949.095 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1546683949.095 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546683949.095 * * [misc]simplify: iters left: 6 (15 enodes) 1546683949.101 * * [misc]simplify: iters left: 5 (30 enodes) 1546683949.112 * * [misc]simplify: iters left: 4 (65 enodes) 1546683949.139 * * [misc]simplify: iters left: 3 (208 enodes) 1546683949.316 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546683949.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1546683949.316 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1546683949.317 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683949.317 * * [misc]simplify: iters left: 4 (5 enodes) 1546683949.319 * * [misc]simplify: iters left: 3 (9 enodes) 1546683949.321 * * [misc]simplify: iters left: 2 (15 enodes) 1546683949.325 * * [misc]simplify: iters left: 1 (17 enodes) 1546683949.329 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683949.330 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683949.330 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1546683949.330 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683949.330 * * [misc]simplify: iters left: 4 (5 enodes) 1546683949.332 * * [misc]simplify: iters left: 3 (9 enodes) 1546683949.334 * * [misc]simplify: iters left: 2 (15 enodes) 1546683949.338 * * [misc]simplify: iters left: 1 (17 enodes) 1546683949.342 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683949.342 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683949.342 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1546683949.342 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683949.343 * * [misc]simplify: iters left: 4 (5 enodes) 1546683949.344 * * [misc]simplify: iters left: 3 (9 enodes) 1546683949.347 * * [misc]simplify: iters left: 2 (15 enodes) 1546683949.351 * * [misc]simplify: iters left: 1 (17 enodes) 1546683949.355 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683949.355 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683949.355 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1546683949.355 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1546683949.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546683949.355 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1546683949.356 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1546683949.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546683949.356 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1546683949.356 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1546683949.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546683949.356 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1546683949.356 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546683949.356 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683949.356 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1546683949.357 * [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)))))))) 1546683949.357 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683949.357 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1546683949.357 * [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))))))))))) 1546683949.357 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683949.357 * * * [misc]progress: adding candidates to table 1546683950.935 * * [misc]progress: iteration 3 / 4 1546683950.935 * * * [misc]progress: picking best candidate 1546683950.965 * * * * [misc]pick: Picked # 1546683950.965 * * * [misc]progress: localizing error 1546683950.974 * * * [misc]progress: generating rewritten candidates 1546683950.974 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546683950.975 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1546683950.976 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) 1546683950.977 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546683950.987 * * * [misc]progress: generating series expansions 1546683950.988 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546683950.988 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546683950.988 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546683950.988 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683950.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683950.988 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683950.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683950.988 * [misc]taylor: Taking taylor expansion of k in k 1546683950.988 * [misc]backup-simplify: Simplify 0 into 0 1546683950.988 * [misc]backup-simplify: Simplify 1 into 1 1546683950.988 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of 2 in k 1546683950.988 * [misc]backup-simplify: Simplify 2 into 2 1546683950.988 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683950.988 * [misc]taylor: Taking taylor expansion of n in k 1546683950.988 * [misc]backup-simplify: Simplify n into n 1546683950.989 * [misc]taylor: Taking taylor expansion of PI in k 1546683950.989 * [misc]backup-simplify: Simplify PI into PI 1546683950.989 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683950.989 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683950.989 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683950.989 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683950.989 * [misc]backup-simplify: Simplify (- 0) into 0 1546683950.989 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683950.990 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683950.990 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683950.990 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683950.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683950.990 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683950.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683950.990 * [misc]taylor: Taking taylor expansion of k in n 1546683950.990 * [misc]backup-simplify: Simplify k into k 1546683950.990 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of 2 in n 1546683950.990 * [misc]backup-simplify: Simplify 2 into 2 1546683950.990 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683950.990 * [misc]taylor: Taking taylor expansion of n in n 1546683950.990 * [misc]backup-simplify: Simplify 0 into 0 1546683950.990 * [misc]backup-simplify: Simplify 1 into 1 1546683950.990 * [misc]taylor: Taking taylor expansion of PI in n 1546683950.990 * [misc]backup-simplify: Simplify PI into PI 1546683950.991 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683950.991 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683950.992 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683950.992 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683950.993 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683950.993 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683950.993 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683950.993 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683950.994 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683950.994 * [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)))) 1546683950.995 * [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))))) 1546683950.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683950.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683950.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683950.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683950.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683950.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683950.995 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683950.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683950.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683950.995 * [misc]taylor: Taking taylor expansion of k in n 1546683950.995 * [misc]backup-simplify: Simplify k into k 1546683950.996 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683950.996 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683950.996 * [misc]taylor: Taking taylor expansion of 2 in n 1546683950.996 * [misc]backup-simplify: Simplify 2 into 2 1546683950.996 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683950.996 * [misc]taylor: Taking taylor expansion of n in n 1546683950.996 * [misc]backup-simplify: Simplify 0 into 0 1546683950.996 * [misc]backup-simplify: Simplify 1 into 1 1546683950.996 * [misc]taylor: Taking taylor expansion of PI in n 1546683950.996 * [misc]backup-simplify: Simplify PI into PI 1546683950.996 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683950.996 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683950.997 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683950.998 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683950.998 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683950.998 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683950.998 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683950.998 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683950.999 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.000 * [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)))) 1546683951.000 * [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))))) 1546683951.000 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546683951.000 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.001 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.001 * [misc]taylor: Taking taylor expansion of k in k 1546683951.001 * [misc]backup-simplify: Simplify 0 into 0 1546683951.001 * [misc]backup-simplify: Simplify 1 into 1 1546683951.001 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of n in k 1546683951.001 * [misc]backup-simplify: Simplify n into n 1546683951.001 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683951.001 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683951.001 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.001 * [misc]backup-simplify: Simplify 2 into 2 1546683951.001 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.001 * [misc]backup-simplify: Simplify PI into PI 1546683951.001 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.002 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.002 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683951.002 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.002 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.003 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.003 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546683951.004 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683951.005 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546683951.006 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683951.007 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683951.009 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683951.009 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546683951.009 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.009 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.010 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546683951.011 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683951.011 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.011 * [misc]backup-simplify: Simplify 0 into 0 1546683951.011 * [misc]backup-simplify: Simplify 0 into 0 1546683951.011 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546683951.012 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683951.013 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683951.013 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.014 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683951.014 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683951.014 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683951.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546683951.015 * [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))))))) 1546683951.016 * [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))))))) 1546683951.017 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683951.023 * [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 1546683951.023 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546683951.024 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.024 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.025 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683951.026 * [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 1546683951.027 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.027 * [misc]backup-simplify: Simplify 0 into 0 1546683951.027 * [misc]backup-simplify: Simplify 0 into 0 1546683951.027 * [misc]backup-simplify: Simplify 0 into 0 1546683951.028 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546683951.028 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683951.031 * [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 1546683951.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683951.032 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.032 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.032 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546683951.034 * [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))))) 1546683951.035 * [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))))) 1546683951.038 * [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))))) 1546683951.038 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 1546683951.038 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546683951.038 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683951.038 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683951.038 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683951.038 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683951.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.038 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.038 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.038 * [misc]taylor: Taking taylor expansion of k in k 1546683951.038 * [misc]backup-simplify: Simplify 0 into 0 1546683951.038 * [misc]backup-simplify: Simplify 1 into 1 1546683951.039 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.039 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683951.039 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683951.039 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.039 * [misc]backup-simplify: Simplify 2 into 2 1546683951.039 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683951.039 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.039 * [misc]backup-simplify: Simplify PI into PI 1546683951.039 * [misc]taylor: Taking taylor expansion of n in k 1546683951.039 * [misc]backup-simplify: Simplify n into n 1546683951.039 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683951.039 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683951.039 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683951.039 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.039 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683951.039 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683951.039 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683951.039 * [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)))) 1546683951.039 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683951.039 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683951.039 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683951.039 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683951.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.040 * [misc]taylor: Taking taylor expansion of k in n 1546683951.040 * [misc]backup-simplify: Simplify k into k 1546683951.040 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.040 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683951.040 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.040 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.040 * [misc]backup-simplify: Simplify 2 into 2 1546683951.040 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.040 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.040 * [misc]backup-simplify: Simplify PI into PI 1546683951.040 * [misc]taylor: Taking taylor expansion of n in n 1546683951.040 * [misc]backup-simplify: Simplify 0 into 0 1546683951.040 * [misc]backup-simplify: Simplify 1 into 1 1546683951.040 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.040 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.041 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.041 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.041 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683951.041 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683951.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.042 * [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))) 1546683951.042 * [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)))) 1546683951.042 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.042 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.042 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of k in n 1546683951.042 * [misc]backup-simplify: Simplify k into k 1546683951.042 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.042 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.042 * [misc]backup-simplify: Simplify 2 into 2 1546683951.042 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.042 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.042 * [misc]backup-simplify: Simplify PI into PI 1546683951.042 * [misc]taylor: Taking taylor expansion of n in n 1546683951.042 * [misc]backup-simplify: Simplify 0 into 0 1546683951.042 * [misc]backup-simplify: Simplify 1 into 1 1546683951.043 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.043 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.043 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.043 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.043 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683951.043 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683951.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.045 * [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))) 1546683951.045 * [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)))) 1546683951.045 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546683951.045 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546683951.045 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683951.045 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.046 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.046 * [misc]taylor: Taking taylor expansion of k in k 1546683951.046 * [misc]backup-simplify: Simplify 0 into 0 1546683951.046 * [misc]backup-simplify: Simplify 1 into 1 1546683951.046 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.046 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546683951.046 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546683951.046 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546683951.046 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.046 * [misc]backup-simplify: Simplify 2 into 2 1546683951.046 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.046 * [misc]backup-simplify: Simplify PI into PI 1546683951.046 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.047 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.047 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683951.047 * [misc]taylor: Taking taylor expansion of n in k 1546683951.047 * [misc]backup-simplify: Simplify n into n 1546683951.047 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683951.047 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.047 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683951.047 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683951.047 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683951.048 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546683951.049 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546683951.049 * [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)))) 1546683951.050 * [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)))) 1546683951.051 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683951.052 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683951.054 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683951.054 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683951.055 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683951.055 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.056 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.056 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683951.058 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683951.058 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.058 * [misc]backup-simplify: Simplify 0 into 0 1546683951.058 * [misc]backup-simplify: Simplify 0 into 0 1546683951.058 * [misc]backup-simplify: Simplify 0 into 0 1546683951.059 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.060 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683951.065 * [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 1546683951.065 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683951.066 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683951.066 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.066 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.068 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546683951.070 * [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 1546683951.070 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.070 * [misc]backup-simplify: Simplify 0 into 0 1546683951.070 * [misc]backup-simplify: Simplify 0 into 0 1546683951.070 * [misc]backup-simplify: Simplify 0 into 0 1546683951.070 * [misc]backup-simplify: Simplify 0 into 0 1546683951.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.073 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.082 * [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 1546683951.082 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683951.082 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683951.083 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.085 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546683951.088 * [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 1546683951.088 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.088 * [misc]backup-simplify: Simplify 0 into 0 1546683951.088 * [misc]backup-simplify: Simplify 0 into 0 1546683951.089 * [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))))) 1546683951.089 * [misc]backup-simplify: Simplify (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683951.090 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546683951.090 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of k in k 1546683951.090 * [misc]backup-simplify: Simplify 0 into 0 1546683951.090 * [misc]backup-simplify: Simplify 1 into 1 1546683951.090 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.090 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.090 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of -2 in k 1546683951.090 * [misc]backup-simplify: Simplify -2 into -2 1546683951.090 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683951.090 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.090 * [misc]backup-simplify: Simplify PI into PI 1546683951.090 * [misc]taylor: Taking taylor expansion of n in k 1546683951.090 * [misc]backup-simplify: Simplify n into n 1546683951.090 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683951.090 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683951.091 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683951.091 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.091 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.091 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683951.091 * [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))) 1546683951.091 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683951.091 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683951.091 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683951.091 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683951.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.092 * [misc]taylor: Taking taylor expansion of k in n 1546683951.092 * [misc]backup-simplify: Simplify k into k 1546683951.092 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.092 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683951.092 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.092 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.092 * [misc]backup-simplify: Simplify -2 into -2 1546683951.092 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.092 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.092 * [misc]backup-simplify: Simplify PI into PI 1546683951.092 * [misc]taylor: Taking taylor expansion of n in n 1546683951.092 * [misc]backup-simplify: Simplify 0 into 0 1546683951.092 * [misc]backup-simplify: Simplify 1 into 1 1546683951.092 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.093 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.093 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.093 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.093 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683951.094 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.095 * [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))) 1546683951.095 * [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)))) 1546683951.095 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683951.095 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683951.095 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683951.095 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683951.096 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.096 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.096 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.096 * [misc]taylor: Taking taylor expansion of k in n 1546683951.096 * [misc]backup-simplify: Simplify k into k 1546683951.096 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.096 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.096 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683951.096 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.096 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.096 * [misc]backup-simplify: Simplify -2 into -2 1546683951.096 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.096 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.096 * [misc]backup-simplify: Simplify PI into PI 1546683951.096 * [misc]taylor: Taking taylor expansion of n in n 1546683951.096 * [misc]backup-simplify: Simplify 0 into 0 1546683951.096 * [misc]backup-simplify: Simplify 1 into 1 1546683951.096 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.097 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.097 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.097 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.097 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683951.098 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.098 * [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))) 1546683951.099 * [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)))) 1546683951.099 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546683951.099 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546683951.099 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683951.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.099 * [misc]taylor: Taking taylor expansion of k in k 1546683951.099 * [misc]backup-simplify: Simplify 0 into 0 1546683951.099 * [misc]backup-simplify: Simplify 1 into 1 1546683951.100 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.100 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.100 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546683951.100 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546683951.100 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546683951.100 * [misc]taylor: Taking taylor expansion of -2 in k 1546683951.100 * [misc]backup-simplify: Simplify -2 into -2 1546683951.100 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.100 * [misc]backup-simplify: Simplify PI into PI 1546683951.100 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.101 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.101 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683951.101 * [misc]taylor: Taking taylor expansion of n in k 1546683951.101 * [misc]backup-simplify: Simplify n into n 1546683951.101 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683951.101 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.101 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.101 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683951.102 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546683951.102 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546683951.103 * [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)))) 1546683951.104 * [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)))) 1546683951.105 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683951.105 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683951.108 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683951.108 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683951.108 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683951.108 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.108 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.109 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546683951.110 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683951.110 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.110 * [misc]backup-simplify: Simplify 0 into 0 1546683951.110 * [misc]backup-simplify: Simplify 0 into 0 1546683951.110 * [misc]backup-simplify: Simplify 0 into 0 1546683951.111 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.111 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683951.114 * [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 1546683951.114 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683951.115 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683951.115 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.116 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546683951.117 * [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 1546683951.117 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.117 * [misc]backup-simplify: Simplify 0 into 0 1546683951.117 * [misc]backup-simplify: Simplify 0 into 0 1546683951.117 * [misc]backup-simplify: Simplify 0 into 0 1546683951.117 * [misc]backup-simplify: Simplify 0 into 0 1546683951.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.119 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.124 * [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 1546683951.124 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683951.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683951.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.125 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546683951.127 * [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 1546683951.127 * [misc]taylor: Taking taylor expansion of 0 in k 1546683951.127 * [misc]backup-simplify: Simplify 0 into 0 1546683951.127 * [misc]backup-simplify: Simplify 0 into 0 1546683951.128 * [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))))) 1546683951.128 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1546683951.128 * [misc]backup-simplify: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 1546683951.128 * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 1546683951.128 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683951.128 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.128 * [misc]taylor: Taking taylor expansion of k in k 1546683951.128 * [misc]backup-simplify: Simplify 0 into 0 1546683951.128 * [misc]backup-simplify: Simplify 1 into 1 1546683951.128 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.128 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.129 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.129 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683951.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.129 * [misc]taylor: Taking taylor expansion of k in k 1546683951.129 * [misc]backup-simplify: Simplify 0 into 0 1546683951.129 * [misc]backup-simplify: Simplify 1 into 1 1546683951.129 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.129 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.129 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.129 * [misc]backup-simplify: Simplify 0 into 0 1546683951.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.130 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683951.130 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683951.130 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.130 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.131 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683951.131 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.131 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1546683951.131 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 1546683951.131 * [misc]approximate: Taking taylor expansion of (sqrt k) in (k) around 0 1546683951.131 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683951.131 * [misc]taylor: Taking taylor expansion of k in k 1546683951.131 * [misc]backup-simplify: Simplify 0 into 0 1546683951.131 * [misc]backup-simplify: Simplify 1 into 1 1546683951.132 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.132 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.132 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683951.132 * [misc]taylor: Taking taylor expansion of k in k 1546683951.132 * [misc]backup-simplify: Simplify 0 into 0 1546683951.132 * [misc]backup-simplify: Simplify 1 into 1 1546683951.132 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.132 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.132 * [misc]backup-simplify: Simplify 0 into 0 1546683951.132 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683951.133 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.134 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683951.134 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.134 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1546683951.134 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 1546683951.134 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 1546683951.134 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1546683951.134 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683951.134 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683951.134 * [misc]taylor: Taking taylor expansion of -1 in k 1546683951.134 * [misc]backup-simplify: Simplify -1 into -1 1546683951.134 * [misc]taylor: Taking taylor expansion of k in k 1546683951.134 * [misc]backup-simplify: Simplify 0 into 0 1546683951.134 * [misc]backup-simplify: Simplify 1 into 1 1546683951.135 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683951.135 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.135 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683951.135 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1546683951.135 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1546683951.135 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683951.135 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683951.135 * [misc]taylor: Taking taylor expansion of -1 in k 1546683951.135 * [misc]backup-simplify: Simplify -1 into -1 1546683951.135 * [misc]taylor: Taking taylor expansion of k in k 1546683951.135 * [misc]backup-simplify: Simplify 0 into 0 1546683951.135 * [misc]backup-simplify: Simplify 1 into 1 1546683951.135 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683951.135 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.136 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683951.136 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1546683951.136 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683951.137 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683951.137 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1546683951.137 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1546683951.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.138 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683951.139 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1546683951.139 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1546683951.140 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1546683951.140 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) 1546683951.140 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546683951.140 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546683951.140 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683951.140 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.140 * [misc]backup-simplify: Simplify 2 into 2 1546683951.140 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.140 * [misc]taylor: Taking taylor expansion of n in n 1546683951.140 * [misc]backup-simplify: Simplify 0 into 0 1546683951.140 * [misc]backup-simplify: Simplify 1 into 1 1546683951.140 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.140 * [misc]backup-simplify: Simplify PI into PI 1546683951.140 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683951.140 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.140 * [misc]backup-simplify: Simplify 2 into 2 1546683951.140 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.140 * [misc]taylor: Taking taylor expansion of n in n 1546683951.140 * [misc]backup-simplify: Simplify 0 into 0 1546683951.140 * [misc]backup-simplify: Simplify 1 into 1 1546683951.140 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.140 * [misc]backup-simplify: Simplify PI into PI 1546683951.140 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.140 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683951.140 * [misc]backup-simplify: Simplify 0 into 0 1546683951.141 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.141 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683951.141 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.142 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683951.143 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683951.143 * [misc]backup-simplify: Simplify 0 into 0 1546683951.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546683951.145 * [misc]backup-simplify: Simplify 0 into 0 1546683951.146 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683951.148 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546683951.148 * [misc]backup-simplify: Simplify 0 into 0 1546683951.150 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683951.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546683951.151 * [misc]backup-simplify: Simplify 0 into 0 1546683951.153 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683951.155 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546683951.155 * [misc]backup-simplify: Simplify 0 into 0 1546683951.158 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546683951.160 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546683951.160 * [misc]backup-simplify: Simplify 0 into 0 1546683951.160 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546683951.160 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546683951.160 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546683951.160 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.160 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.160 * [misc]backup-simplify: Simplify 2 into 2 1546683951.160 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.160 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.160 * [misc]backup-simplify: Simplify PI into PI 1546683951.160 * [misc]taylor: Taking taylor expansion of n in n 1546683951.160 * [misc]backup-simplify: Simplify 0 into 0 1546683951.160 * [misc]backup-simplify: Simplify 1 into 1 1546683951.161 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.161 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.161 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.161 * [misc]backup-simplify: Simplify 2 into 2 1546683951.161 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.161 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.161 * [misc]backup-simplify: Simplify PI into PI 1546683951.161 * [misc]taylor: Taking taylor expansion of n in n 1546683951.161 * [misc]backup-simplify: Simplify 0 into 0 1546683951.161 * [misc]backup-simplify: Simplify 1 into 1 1546683951.161 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.161 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.161 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.162 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683951.162 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683951.163 * [misc]backup-simplify: Simplify 0 into 0 1546683951.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683951.164 * [misc]backup-simplify: Simplify 0 into 0 1546683951.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.166 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.166 * [misc]backup-simplify: Simplify 0 into 0 1546683951.167 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.169 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683951.169 * [misc]backup-simplify: Simplify 0 into 0 1546683951.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.174 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683951.174 * [misc]backup-simplify: Simplify 0 into 0 1546683951.177 * [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 1546683951.180 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683951.180 * [misc]backup-simplify: Simplify 0 into 0 1546683951.181 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546683951.181 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546683951.181 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546683951.181 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.181 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.181 * [misc]backup-simplify: Simplify -2 into -2 1546683951.181 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.181 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.181 * [misc]backup-simplify: Simplify PI into PI 1546683951.181 * [misc]taylor: Taking taylor expansion of n in n 1546683951.181 * [misc]backup-simplify: Simplify 0 into 0 1546683951.181 * [misc]backup-simplify: Simplify 1 into 1 1546683951.181 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.181 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.181 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.181 * [misc]backup-simplify: Simplify -2 into -2 1546683951.181 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.181 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.181 * [misc]backup-simplify: Simplify PI into PI 1546683951.182 * [misc]taylor: Taking taylor expansion of n in n 1546683951.182 * [misc]backup-simplify: Simplify 0 into 0 1546683951.182 * [misc]backup-simplify: Simplify 1 into 1 1546683951.182 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.182 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.182 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.183 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683951.184 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683951.184 * [misc]backup-simplify: Simplify 0 into 0 1546683951.185 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.186 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546683951.186 * [misc]backup-simplify: Simplify 0 into 0 1546683951.187 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.188 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.188 * [misc]backup-simplify: Simplify 0 into 0 1546683951.189 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.190 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546683951.190 * [misc]backup-simplify: Simplify 0 into 0 1546683951.191 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.193 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546683951.193 * [misc]backup-simplify: Simplify 0 into 0 1546683951.194 * [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 1546683951.196 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546683951.196 * [misc]backup-simplify: Simplify 0 into 0 1546683951.196 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546683951.196 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546683951.196 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1546683951.197 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0 1546683951.197 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.197 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.197 * [misc]taylor: Taking taylor expansion of k in n 1546683951.197 * [misc]backup-simplify: Simplify k into k 1546683951.197 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.197 * [misc]backup-simplify: Simplify 2 into 2 1546683951.197 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.197 * [misc]taylor: Taking taylor expansion of n in n 1546683951.197 * [misc]backup-simplify: Simplify 0 into 0 1546683951.197 * [misc]backup-simplify: Simplify 1 into 1 1546683951.197 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.197 * [misc]backup-simplify: Simplify PI into PI 1546683951.197 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.197 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683951.198 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.198 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683951.198 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.198 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683951.198 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683951.199 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683951.199 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.199 * [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)))) 1546683951.200 * [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))))) 1546683951.200 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683951.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.200 * [misc]taylor: Taking taylor expansion of k in n 1546683951.200 * [misc]backup-simplify: Simplify k into k 1546683951.200 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.200 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683951.200 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683951.200 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683951.200 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.200 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.200 * [misc]taylor: Taking taylor expansion of k in k 1546683951.200 * [misc]backup-simplify: Simplify 0 into 0 1546683951.200 * [misc]backup-simplify: Simplify 1 into 1 1546683951.200 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.200 * [misc]backup-simplify: Simplify 2 into 2 1546683951.200 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683951.200 * [misc]taylor: Taking taylor expansion of n in k 1546683951.200 * [misc]backup-simplify: Simplify n into n 1546683951.200 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.200 * [misc]backup-simplify: Simplify PI into PI 1546683951.200 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683951.200 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683951.200 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683951.201 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683951.201 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.201 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.201 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683951.201 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683951.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683951.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.201 * [misc]taylor: Taking taylor expansion of k in k 1546683951.201 * [misc]backup-simplify: Simplify 0 into 0 1546683951.201 * [misc]backup-simplify: Simplify 1 into 1 1546683951.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.201 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.202 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.202 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.202 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.202 * [misc]taylor: Taking taylor expansion of k in k 1546683951.202 * [misc]backup-simplify: Simplify 0 into 0 1546683951.202 * [misc]backup-simplify: Simplify 1 into 1 1546683951.202 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.202 * [misc]backup-simplify: Simplify 2 into 2 1546683951.202 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546683951.202 * [misc]taylor: Taking taylor expansion of n in k 1546683951.202 * [misc]backup-simplify: Simplify n into n 1546683951.202 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.202 * [misc]backup-simplify: Simplify PI into PI 1546683951.202 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546683951.202 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546683951.202 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546683951.202 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683951.202 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.202 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.202 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546683951.202 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546683951.202 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683951.203 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.203 * [misc]taylor: Taking taylor expansion of k in k 1546683951.203 * [misc]backup-simplify: Simplify 0 into 0 1546683951.203 * [misc]backup-simplify: Simplify 1 into 1 1546683951.203 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.203 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.203 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.203 * [misc]backup-simplify: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 1546683951.203 * [misc]taylor: Taking taylor expansion of 0 in n 1546683951.203 * [misc]backup-simplify: Simplify 0 into 0 1546683951.203 * [misc]backup-simplify: Simplify 0 into 0 1546683951.203 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546683951.204 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546683951.204 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546683951.204 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683951.204 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683951.205 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683951.205 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546683951.205 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1546683951.205 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546683951.205 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546683951.205 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683951.205 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.205 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.205 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683951.205 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683951.205 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.205 * [misc]backup-simplify: Simplify 2 into 2 1546683951.205 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683951.206 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683951.206 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683951.206 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.206 * [misc]taylor: Taking taylor expansion of n in n 1546683951.206 * [misc]backup-simplify: Simplify 0 into 0 1546683951.206 * [misc]backup-simplify: Simplify 1 into 1 1546683951.206 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.206 * [misc]backup-simplify: Simplify PI into PI 1546683951.206 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.206 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.206 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.207 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683951.207 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683951.207 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683951.207 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.207 * [misc]backup-simplify: Simplify 0 into 0 1546683951.207 * [misc]backup-simplify: Simplify 0 into 0 1546683951.207 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683951.208 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683951.208 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546683951.208 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546683951.209 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1546683951.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683951.210 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546683951.211 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1546683951.211 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1546683951.211 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1546683951.211 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1546683951.211 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546683951.211 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.211 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.211 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546683951.211 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546683951.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683951.211 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.211 * [misc]backup-simplify: Simplify 2 into 2 1546683951.211 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683951.212 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683951.212 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683951.212 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683951.212 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.212 * [misc]backup-simplify: Simplify 2 into 2 1546683951.212 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.212 * [misc]taylor: Taking taylor expansion of n in n 1546683951.212 * [misc]backup-simplify: Simplify 0 into 0 1546683951.212 * [misc]backup-simplify: Simplify 1 into 1 1546683951.212 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.212 * [misc]backup-simplify: Simplify PI into PI 1546683951.212 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.212 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683951.212 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.213 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683951.213 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.213 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683951.213 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.213 * [misc]taylor: Taking taylor expansion of n in n 1546683951.213 * [misc]backup-simplify: Simplify 0 into 0 1546683951.213 * [misc]backup-simplify: Simplify 1 into 1 1546683951.213 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.213 * [misc]backup-simplify: Simplify PI into PI 1546683951.213 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.214 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.214 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.214 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683951.214 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546683951.214 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683951.214 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.214 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.214 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683951.214 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683951.214 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.214 * [misc]backup-simplify: Simplify 2 into 2 1546683951.214 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683951.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683951.215 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683951.215 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.215 * [misc]taylor: Taking taylor expansion of n in n 1546683951.215 * [misc]backup-simplify: Simplify 0 into 0 1546683951.215 * [misc]backup-simplify: Simplify 1 into 1 1546683951.215 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.215 * [misc]backup-simplify: Simplify PI into PI 1546683951.215 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.215 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.215 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.216 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683951.217 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.217 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546683951.218 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546683951.218 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683951.218 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683951.218 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683951.219 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.219 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.219 * [misc]backup-simplify: Simplify 0 into 0 1546683951.220 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.222 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.223 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.224 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.224 * [misc]backup-simplify: Simplify 0 into 0 1546683951.224 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.226 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683951.227 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546683951.227 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546683951.230 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1546683951.230 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546683951.230 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.231 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.231 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546683951.233 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1546683951.234 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 1546683951.234 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.235 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.235 * [misc]backup-simplify: Simplify 2 into 2 1546683951.235 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683951.235 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683951.235 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.235 * [misc]backup-simplify: Simplify 2 into 2 1546683951.235 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.235 * [misc]taylor: Taking taylor expansion of n in n 1546683951.235 * [misc]backup-simplify: Simplify 0 into 0 1546683951.235 * [misc]backup-simplify: Simplify 1 into 1 1546683951.235 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.236 * [misc]backup-simplify: Simplify PI into PI 1546683951.236 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.236 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683951.237 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.237 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683951.238 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.238 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683951.238 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.238 * [misc]taylor: Taking taylor expansion of n in n 1546683951.238 * [misc]backup-simplify: Simplify 0 into 0 1546683951.238 * [misc]backup-simplify: Simplify 1 into 1 1546683951.238 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.238 * [misc]backup-simplify: Simplify PI into PI 1546683951.238 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.239 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.239 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.240 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683951.240 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.240 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.240 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.240 * [misc]backup-simplify: Simplify 2 into 2 1546683951.240 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683951.240 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683951.240 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.240 * [misc]taylor: Taking taylor expansion of n in n 1546683951.240 * [misc]backup-simplify: Simplify 0 into 0 1546683951.240 * [misc]backup-simplify: Simplify 1 into 1 1546683951.240 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.240 * [misc]backup-simplify: Simplify PI into PI 1546683951.241 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.241 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.242 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.242 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683951.242 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1546683951.242 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546683951.242 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.242 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.242 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546683951.242 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546683951.242 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683951.242 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.242 * [misc]backup-simplify: Simplify 2 into 2 1546683951.242 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683951.243 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683951.243 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546683951.243 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546683951.243 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546683951.243 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.243 * [misc]backup-simplify: Simplify 2 into 2 1546683951.243 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.243 * [misc]taylor: Taking taylor expansion of n in n 1546683951.243 * [misc]backup-simplify: Simplify 0 into 0 1546683951.243 * [misc]backup-simplify: Simplify 1 into 1 1546683951.243 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.243 * [misc]backup-simplify: Simplify PI into PI 1546683951.243 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.243 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683951.244 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.245 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546683951.245 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.246 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683951.246 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683951.246 * [misc]taylor: Taking taylor expansion of n in n 1546683951.246 * [misc]backup-simplify: Simplify 0 into 0 1546683951.246 * [misc]backup-simplify: Simplify 1 into 1 1546683951.246 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.246 * [misc]backup-simplify: Simplify PI into PI 1546683951.246 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683951.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683951.247 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.248 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683951.248 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.249 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546683951.250 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546683951.250 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683951.250 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683951.250 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683951.251 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.252 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.253 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546683951.253 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546683951.254 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546683951.254 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683951.254 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.255 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.255 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.255 * [misc]backup-simplify: Simplify 0 into 0 1546683951.256 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683951.257 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546683951.260 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683951.261 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546683951.261 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546683951.262 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546683951.265 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1546683951.266 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.268 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.269 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683951.274 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1546683951.277 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546683951.280 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546683951.282 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683951.283 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546683951.285 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546683951.287 * [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)))) 1546683951.291 * [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)))) 1546683951.293 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546683951.294 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546683951.300 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546683951.301 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt (/ 1 k))) (/ 1 (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1546683951.301 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0 1546683951.301 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of k in n 1546683951.301 * [misc]backup-simplify: Simplify k into k 1546683951.301 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.301 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.301 * [misc]backup-simplify: Simplify 2 into 2 1546683951.301 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.301 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.301 * [misc]backup-simplify: Simplify PI into PI 1546683951.302 * [misc]taylor: Taking taylor expansion of n in n 1546683951.302 * [misc]backup-simplify: Simplify 0 into 0 1546683951.302 * [misc]backup-simplify: Simplify 1 into 1 1546683951.302 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.302 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.303 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.303 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.303 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683951.303 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683951.304 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.304 * [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))) 1546683951.305 * [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)))) 1546683951.305 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683951.305 * [misc]taylor: Taking taylor expansion of k in n 1546683951.305 * [misc]backup-simplify: Simplify k into k 1546683951.305 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683951.305 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683951.305 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of k in k 1546683951.306 * [misc]backup-simplify: Simplify 0 into 0 1546683951.306 * [misc]backup-simplify: Simplify 1 into 1 1546683951.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.306 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.306 * [misc]backup-simplify: Simplify 2 into 2 1546683951.306 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683951.306 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.306 * [misc]backup-simplify: Simplify PI into PI 1546683951.306 * [misc]taylor: Taking taylor expansion of n in k 1546683951.306 * [misc]backup-simplify: Simplify n into n 1546683951.306 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683951.306 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683951.307 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683951.307 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.307 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683951.307 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683951.307 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683951.307 * [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)))) 1546683951.307 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683951.307 * [misc]taylor: Taking taylor expansion of k in k 1546683951.307 * [misc]backup-simplify: Simplify 0 into 0 1546683951.307 * [misc]backup-simplify: Simplify 1 into 1 1546683951.308 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.308 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.308 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.308 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.308 * [misc]taylor: Taking taylor expansion of k in k 1546683951.309 * [misc]backup-simplify: Simplify 0 into 0 1546683951.309 * [misc]backup-simplify: Simplify 1 into 1 1546683951.309 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.309 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546683951.309 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546683951.309 * [misc]taylor: Taking taylor expansion of 2 in k 1546683951.309 * [misc]backup-simplify: Simplify 2 into 2 1546683951.309 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683951.309 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.309 * [misc]backup-simplify: Simplify PI into PI 1546683951.309 * [misc]taylor: Taking taylor expansion of n in k 1546683951.309 * [misc]backup-simplify: Simplify n into n 1546683951.309 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683951.309 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546683951.309 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546683951.309 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.309 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683951.310 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683951.310 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546683951.310 * [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)))) 1546683951.310 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683951.310 * [misc]taylor: Taking taylor expansion of k in k 1546683951.310 * [misc]backup-simplify: Simplify 0 into 0 1546683951.310 * [misc]backup-simplify: Simplify 1 into 1 1546683951.310 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.311 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683951.311 * [misc]backup-simplify: Simplify (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0 1546683951.311 * [misc]taylor: Taking taylor expansion of 0 in n 1546683951.311 * [misc]backup-simplify: Simplify 0 into 0 1546683951.311 * [misc]backup-simplify: Simplify 0 into 0 1546683951.311 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546683951.311 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.312 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.312 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.312 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of k in n 1546683951.312 * [misc]backup-simplify: Simplify k into k 1546683951.312 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.312 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.312 * [misc]backup-simplify: Simplify 2 into 2 1546683951.312 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.312 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.312 * [misc]backup-simplify: Simplify PI into PI 1546683951.312 * [misc]taylor: Taking taylor expansion of n in n 1546683951.312 * [misc]backup-simplify: Simplify 0 into 0 1546683951.312 * [misc]backup-simplify: Simplify 1 into 1 1546683951.313 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.313 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.313 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.313 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.314 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683951.314 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683951.314 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.315 * [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))) 1546683951.316 * [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)))) 1546683951.316 * [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))))) 1546683951.317 * [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)))))) 1546683951.318 * [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)))))) 1546683951.318 * [misc]backup-simplify: Simplify 0 into 0 1546683951.319 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683951.319 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546683951.319 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683951.319 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683951.319 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.319 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.319 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.320 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.320 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of k in n 1546683951.320 * [misc]backup-simplify: Simplify k into k 1546683951.320 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.320 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.320 * [misc]backup-simplify: Simplify 2 into 2 1546683951.320 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.320 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.320 * [misc]backup-simplify: Simplify PI into PI 1546683951.320 * [misc]taylor: Taking taylor expansion of n in n 1546683951.320 * [misc]backup-simplify: Simplify 0 into 0 1546683951.320 * [misc]backup-simplify: Simplify 1 into 1 1546683951.320 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.321 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.321 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.321 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.321 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683951.322 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683951.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.323 * [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))) 1546683951.323 * [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)))) 1546683951.324 * [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))))) 1546683951.325 * [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)))))) 1546683951.326 * [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)))))) 1546683951.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683951.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546683951.330 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546683951.330 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683951.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683951.331 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.331 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.332 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546683951.334 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683951.334 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546683951.334 * [misc]backup-simplify: Simplify (- 0) into 0 1546683951.335 * [misc]backup-simplify: Simplify 0 into 0 1546683951.335 * [misc]backup-simplify: Simplify 0 into 0 1546683951.336 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683951.337 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1546683951.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.337 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of k in n 1546683951.337 * [misc]backup-simplify: Simplify k into k 1546683951.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.337 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of 2 in n 1546683951.337 * [misc]backup-simplify: Simplify 2 into 2 1546683951.337 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.337 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.337 * [misc]backup-simplify: Simplify PI into PI 1546683951.337 * [misc]taylor: Taking taylor expansion of n in n 1546683951.338 * [misc]backup-simplify: Simplify 0 into 0 1546683951.338 * [misc]backup-simplify: Simplify 1 into 1 1546683951.338 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.338 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546683951.339 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546683951.339 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.339 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683951.339 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683951.340 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546683951.340 * [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))) 1546683951.341 * [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)))) 1546683951.341 * [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))))) 1546683951.342 * [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)))))) 1546683951.343 * [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)))))) 1546683951.345 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1546683951.346 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt (/ 1 (- k)))) (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546683951.346 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546683951.346 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of k in n 1546683951.346 * [misc]backup-simplify: Simplify k into k 1546683951.346 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.346 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.346 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.346 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.346 * [misc]backup-simplify: Simplify -2 into -2 1546683951.347 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.347 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.347 * [misc]backup-simplify: Simplify PI into PI 1546683951.347 * [misc]taylor: Taking taylor expansion of n in n 1546683951.347 * [misc]backup-simplify: Simplify 0 into 0 1546683951.347 * [misc]backup-simplify: Simplify 1 into 1 1546683951.347 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.347 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.348 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.348 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.348 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683951.349 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.349 * [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))) 1546683951.350 * [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)))) 1546683951.350 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683951.350 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683951.350 * [misc]taylor: Taking taylor expansion of -1 in n 1546683951.350 * [misc]backup-simplify: Simplify -1 into -1 1546683951.350 * [misc]taylor: Taking taylor expansion of k in n 1546683951.350 * [misc]backup-simplify: Simplify k into k 1546683951.350 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683951.350 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683951.351 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683951.351 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683951.351 * [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))) 1546683951.351 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546683951.351 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.352 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of k in k 1546683951.352 * [misc]backup-simplify: Simplify 0 into 0 1546683951.352 * [misc]backup-simplify: Simplify 1 into 1 1546683951.352 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.352 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.352 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of -2 in k 1546683951.352 * [misc]backup-simplify: Simplify -2 into -2 1546683951.352 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683951.352 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.352 * [misc]backup-simplify: Simplify PI into PI 1546683951.352 * [misc]taylor: Taking taylor expansion of n in k 1546683951.352 * [misc]backup-simplify: Simplify n into n 1546683951.352 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683951.352 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683951.353 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683951.353 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.353 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.353 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683951.353 * [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))) 1546683951.353 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683951.353 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683951.353 * [misc]taylor: Taking taylor expansion of -1 in k 1546683951.353 * [misc]backup-simplify: Simplify -1 into -1 1546683951.353 * [misc]taylor: Taking taylor expansion of k in k 1546683951.353 * [misc]backup-simplify: Simplify 0 into 0 1546683951.353 * [misc]backup-simplify: Simplify 1 into 1 1546683951.354 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683951.354 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.354 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683951.354 * [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)))) 1546683951.354 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of k in k 1546683951.355 * [misc]backup-simplify: Simplify 0 into 0 1546683951.355 * [misc]backup-simplify: Simplify 1 into 1 1546683951.355 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683951.355 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683951.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.355 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of -2 in k 1546683951.355 * [misc]backup-simplify: Simplify -2 into -2 1546683951.355 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546683951.355 * [misc]taylor: Taking taylor expansion of PI in k 1546683951.355 * [misc]backup-simplify: Simplify PI into PI 1546683951.355 * [misc]taylor: Taking taylor expansion of n in k 1546683951.355 * [misc]backup-simplify: Simplify n into n 1546683951.355 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546683951.356 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546683951.356 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546683951.356 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683951.356 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683951.356 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546683951.356 * [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))) 1546683951.356 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683951.356 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683951.356 * [misc]taylor: Taking taylor expansion of -1 in k 1546683951.357 * [misc]backup-simplify: Simplify -1 into -1 1546683951.357 * [misc]taylor: Taking taylor expansion of k in k 1546683951.357 * [misc]backup-simplify: Simplify 0 into 0 1546683951.357 * [misc]backup-simplify: Simplify 1 into 1 1546683951.357 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683951.357 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683951.357 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683951.358 * [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)))) 1546683951.358 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683951.358 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.358 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.358 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683951.358 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683951.358 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683951.358 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.358 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.358 * [misc]backup-simplify: Simplify -2 into -2 1546683951.358 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.358 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.358 * [misc]backup-simplify: Simplify PI into PI 1546683951.358 * [misc]taylor: Taking taylor expansion of n in n 1546683951.358 * [misc]backup-simplify: Simplify 0 into 0 1546683951.358 * [misc]backup-simplify: Simplify 1 into 1 1546683951.358 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.359 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.359 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.359 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683951.359 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.359 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.359 * [misc]taylor: Taking taylor expansion of k in n 1546683951.359 * [misc]backup-simplify: Simplify k into k 1546683951.359 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.360 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.360 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.360 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.360 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683951.361 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683951.362 * [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)))) 1546683951.362 * [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))))) 1546683951.363 * [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))))) 1546683951.363 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683951.365 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683951.365 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683951.365 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683951.365 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683951.365 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.365 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.365 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683951.365 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683951.365 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683951.365 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.365 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.366 * [misc]backup-simplify: Simplify -2 into -2 1546683951.366 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.366 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.366 * [misc]backup-simplify: Simplify PI into PI 1546683951.366 * [misc]taylor: Taking taylor expansion of n in n 1546683951.366 * [misc]backup-simplify: Simplify 0 into 0 1546683951.366 * [misc]backup-simplify: Simplify 1 into 1 1546683951.366 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.366 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.367 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.367 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683951.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.367 * [misc]taylor: Taking taylor expansion of k in n 1546683951.367 * [misc]backup-simplify: Simplify k into k 1546683951.367 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.367 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.368 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.368 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.368 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683951.368 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683951.369 * [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)))) 1546683951.370 * [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))))) 1546683951.370 * [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)))))) 1546683951.371 * [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)))))) 1546683951.372 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.372 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683951.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683951.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683951.373 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546683951.374 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546683951.377 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546683951.377 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546683951.379 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683951.380 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546683951.380 * [misc]backup-simplify: Simplify 0 into 0 1546683951.380 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683951.381 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683951.381 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683951.381 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683951.381 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683951.381 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of -2 in n 1546683951.381 * [misc]backup-simplify: Simplify -2 into -2 1546683951.381 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546683951.381 * [misc]taylor: Taking taylor expansion of PI in n 1546683951.381 * [misc]backup-simplify: Simplify PI into PI 1546683951.381 * [misc]taylor: Taking taylor expansion of n in n 1546683951.382 * [misc]backup-simplify: Simplify 0 into 0 1546683951.382 * [misc]backup-simplify: Simplify 1 into 1 1546683951.382 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546683951.382 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546683951.382 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546683951.382 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683951.382 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683951.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.382 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683951.382 * [misc]taylor: Taking taylor expansion of k in n 1546683951.382 * [misc]backup-simplify: Simplify k into k 1546683951.382 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683951.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683951.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683951.383 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546683951.383 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683951.383 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683951.383 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1546683951.384 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546683951.384 * [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))))) 1546683951.385 * [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)))))) 1546683951.385 * [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)))))) 1546683951.387 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1546683951.387 * * * [misc]progress: simplifying candidates 1546683951.387 * * * * [misc]progress: [ 1 / 113 ] simplifiying candidate # 1546683951.387 * * * * [misc]progress: [ 2 / 113 ] simplifiying candidate # 1546683951.387 * * * * [misc]progress: [ 3 / 113 ] simplifiying candidate # 1546683951.387 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546683951.387 * * [misc]simplify: iters left: 6 (11 enodes) 1546683951.389 * * [misc]simplify: iters left: 5 (21 enodes) 1546683951.393 * * [misc]simplify: iters left: 4 (47 enodes) 1546683951.401 * * [misc]simplify: iters left: 3 (113 enodes) 1546683951.452 * * [misc]simplify: iters left: 2 (328 enodes) 1546683951.730 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546683951.730 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546683951.730 * * * * [misc]progress: [ 4 / 113 ] simplifiying candidate # 1546683951.730 * * * * [misc]progress: [ 5 / 113 ] simplifiying candidate # 1546683951.730 * [enter]simplify: Simplifying (* PI (* n 2)) 1546683951.730 * * [misc]simplify: iters left: 4 (5 enodes) 1546683951.732 * * [misc]simplify: iters left: 3 (9 enodes) 1546683951.735 * * [misc]simplify: iters left: 2 (15 enodes) 1546683951.739 * * [misc]simplify: iters left: 1 (17 enodes) 1546683951.743 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546683951.743 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546683951.743 * * * * [misc]progress: [ 6 / 113 ] simplifiying candidate # 1546683951.743 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546683951.743 * * [misc]simplify: iters left: 5 (8 enodes) 1546683951.746 * * [misc]simplify: iters left: 4 (12 enodes) 1546683951.750 * * [misc]simplify: iters left: 3 (18 enodes) 1546683951.755 * * [misc]simplify: iters left: 2 (20 enodes) 1546683951.762 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546683951.762 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1546683951.762 * * * * [misc]progress: [ 7 / 113 ] simplifiying candidate # 1546683951.762 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546683951.762 * * [misc]simplify: iters left: 5 (6 enodes) 1546683951.764 * * [misc]simplify: iters left: 4 (8 enodes) 1546683951.766 * * [misc]simplify: iters left: 3 (11 enodes) 1546683951.769 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546683951.769 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1546683951.770 * * * * [misc]progress: [ 8 / 113 ] simplifiying candidate # 1546683951.770 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546683951.770 * * [misc]simplify: iters left: 5 (6 enodes) 1546683951.772 * * [misc]simplify: iters left: 4 (8 enodes) 1546683951.774 * * [misc]simplify: iters left: 3 (11 enodes) 1546683951.777 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546683951.777 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1546683951.777 * * * * [misc]progress: [ 9 / 113 ] simplifiying candidate # 1546683951.777 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546683951.778 * * [misc]simplify: iters left: 4 (5 enodes) 1546683951.779 * * [misc]simplify: iters left: 3 (7 enodes) 1546683951.781 * * [misc]simplify: iters left: 2 (10 enodes) 1546683951.784 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546683951.784 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546683951.784 * * * * [misc]progress: [ 10 / 113 ] simplifiying candidate # 1546683951.784 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683951.784 * * [misc]simplify: iters left: 5 (9 enodes) 1546683951.787 * * [misc]simplify: iters left: 4 (15 enodes) 1546683951.792 * * [misc]simplify: iters left: 3 (21 enodes) 1546683951.797 * * [misc]simplify: iters left: 2 (22 enodes) 1546683951.803 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683951.803 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683951.803 * * * * [misc]progress: [ 11 / 113 ] simplifiying candidate # 1546683951.803 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546683951.803 * * [misc]simplify: iters left: 5 (9 enodes) 1546683951.806 * * [misc]simplify: iters left: 4 (15 enodes) 1546683951.811 * * [misc]simplify: iters left: 3 (21 enodes) 1546683951.816 * * [misc]simplify: iters left: 2 (22 enodes) 1546683951.825 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546683951.825 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1546683951.825 * * * * [misc]progress: [ 12 / 113 ] simplifiying candidate # 1546683951.825 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546683951.825 * * [misc]simplify: iters left: 5 (7 enodes) 1546683951.827 * * [misc]simplify: iters left: 4 (9 enodes) 1546683951.830 * * [misc]simplify: iters left: 3 (12 enodes) 1546683951.833 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546683951.833 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683951.834 * * * * [misc]progress: [ 13 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 14 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 15 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 16 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 17 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 18 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 19 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 20 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 21 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 22 / 113 ] simplifiying candidate # 1546683951.834 * * * * [misc]progress: [ 23 / 113 ] simplifiying candidate # 1546683951.834 * [enter]simplify: Simplifying (- 1/2) 1546683951.835 * * [misc]simplify: iters left: 2 (2 enodes) 1546683951.836 * * [misc]simplify: iters left: 1 (3 enodes) 1546683951.836 * [exit]simplify: Simplified to -1/2 1546683951.837 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow k -1/2) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683951.837 * * * * [misc]progress: [ 24 / 113 ] simplifiying candidate # 1546683951.837 * [enter]simplify: Simplifying (- 1) 1546683951.837 * * [misc]simplify: iters left: 2 (2 enodes) 1546683951.838 * * [misc]simplify: iters left: 1 (5 enodes) 1546683951.839 * [exit]simplify: Simplified to -1 1546683951.839 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (sqrt k) -1) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683951.839 * * * * [misc]progress: [ 25 / 113 ] simplifiying candidate # 1546683951.839 * * * * [misc]progress: [ 26 / 113 ] simplifiying candidate # 1546683951.839 * * * * [misc]progress: [ 27 / 113 ] simplifiying candidate # 1546683951.839 * * * * [misc]progress: [ 28 / 113 ] simplifiying candidate # 1546683951.839 * * * * [misc]progress: [ 29 / 113 ] simplifiying candidate # 1546683951.839 * * * * [misc]progress: [ 30 / 113 ] simplifiying candidate # 1546683951.839 * * * * [misc]progress: [ 31 / 113 ] simplifiying candidate # 1546683951.840 * * * * [misc]progress: [ 32 / 113 ] simplifiying candidate # 1546683951.840 * * * * [misc]progress: [ 33 / 113 ] simplifiying candidate # 1546683951.840 * * * * [misc]progress: [ 34 / 113 ] simplifiying candidate # 1546683951.840 * * * * [misc]progress: [ 35 / 113 ] simplifiying candidate # 1546683951.840 * * * * [misc]progress: [ 36 / 113 ] simplifiying candidate # 1546683951.840 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546683951.840 * * [misc]simplify: iters left: 2 (3 enodes) 1546683951.841 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546683951.841 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683951.841 * * * * [misc]progress: [ 37 / 113 ] simplifiying candidate # 1546683951.841 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546683951.841 * * [misc]simplify: iters left: 2 (3 enodes) 1546683951.842 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546683951.842 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683951.842 * * * * [misc]progress: [ 38 / 113 ] simplifiying candidate # 1546683951.843 * [enter]simplify: Simplifying (sqrt k) 1546683951.843 * * [misc]simplify: iters left: 1 (2 enodes) 1546683951.843 * [exit]simplify: Simplified to (sqrt k) 1546683951.843 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 1) (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683951.843 * * * * [misc]progress: [ 39 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 40 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 41 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 42 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 43 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 44 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 45 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 46 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 47 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 48 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 49 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 50 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 51 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 52 / 113 ] simplifiying candidate # 1546683951.844 * * * * [misc]progress: [ 53 / 113 ] simplifiying candidate # 1546683951.845 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546683951.845 * * [misc]simplify: iters left: 6 (16 enodes) 1546683951.849 * * [misc]simplify: iters left: 5 (32 enodes) 1546683951.855 * * [misc]simplify: iters left: 4 (80 enodes) 1546683951.873 * * [misc]simplify: iters left: 3 (240 enodes) 1546683951.991 * [exit]simplify: Simplified to (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546683951.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1546683951.992 * * * * [misc]progress: [ 54 / 113 ] simplifiying candidate # 1546683951.992 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546683951.992 * * [misc]simplify: iters left: 6 (16 enodes) 1546683951.997 * * [misc]simplify: iters left: 5 (32 enodes) 1546683952.009 * * [misc]simplify: iters left: 4 (80 enodes) 1546683952.050 * * [misc]simplify: iters left: 3 (240 enodes) 1546683952.155 * [exit]simplify: Simplified to (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546683952.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* n 2) PI)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1546683952.155 * * * * [misc]progress: [ 55 / 113 ] simplifiying candidate # 1546683952.155 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683952.155 * * [misc]simplify: iters left: 6 (16 enodes) 1546683952.158 * * [misc]simplify: iters left: 5 (26 enodes) 1546683952.162 * * [misc]simplify: iters left: 4 (49 enodes) 1546683952.172 * * [misc]simplify: iters left: 3 (113 enodes) 1546683952.240 * * [misc]simplify: iters left: 2 (431 enodes) 1546683952.586 * [exit]simplify: Simplified to (- (fma (log (* (* PI n) 2)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546683952.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* PI n) 2)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1546683952.586 * * * * [misc]progress: [ 56 / 113 ] simplifiying candidate # 1546683952.587 * [enter]simplify: Simplifying (- (- (log (sqrt k))) (log (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683952.587 * * [misc]simplify: iters left: 6 (17 enodes) 1546683952.592 * * [misc]simplify: iters left: 5 (31 enodes) 1546683952.601 * * [misc]simplify: iters left: 4 (44 enodes) 1546683952.613 * * [misc]simplify: iters left: 3 (67 enodes) 1546683952.633 * * [misc]simplify: iters left: 2 (164 enodes) 1546683952.764 * [exit]simplify: Simplified to (- (fma (log (* (* PI n) 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546683952.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* PI n) 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1546683952.765 * * * * [misc]progress: [ 57 / 113 ] simplifiying candidate # 1546683952.765 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546683952.765 * * [misc]simplify: iters left: 6 (17 enodes) 1546683952.771 * * [misc]simplify: iters left: 5 (39 enodes) 1546683952.778 * * [misc]simplify: iters left: 4 (87 enodes) 1546683952.816 * * [misc]simplify: iters left: 3 (247 enodes) 1546683952.927 * [exit]simplify: Simplified to (- (fma (log (* (* 2 n) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546683952.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* 2 n) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1546683952.927 * * * * [misc]progress: [ 58 / 113 ] simplifiying candidate # 1546683952.928 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1546683952.928 * * [misc]simplify: iters left: 6 (17 enodes) 1546683952.933 * * [misc]simplify: iters left: 5 (39 enodes) 1546683952.939 * * [misc]simplify: iters left: 4 (87 enodes) 1546683952.958 * * [misc]simplify: iters left: 3 (247 enodes) 1546683953.080 * [exit]simplify: Simplified to (- (fma (log (* (* 2 n) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546683953.080 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* (* 2 n) PI)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1546683953.080 * * * * [misc]progress: [ 59 / 113 ] simplifiying candidate # 1546683953.080 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683953.080 * * [misc]simplify: iters left: 6 (17 enodes) 1546683953.083 * * [misc]simplify: iters left: 5 (33 enodes) 1546683953.088 * * [misc]simplify: iters left: 4 (56 enodes) 1546683953.096 * * [misc]simplify: iters left: 3 (120 enodes) 1546683953.130 * * [misc]simplify: iters left: 2 (438 enodes) 1546683953.439 * [exit]simplify: Simplified to (- (fma (+ (/ k 2) -1/2) (log (* (* 2 n) PI)) (log (sqrt k)))) 1546683953.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (/ k 2) -1/2) (log (* (* 2 n) PI)) (log (sqrt k)))))) 1546683953.440 * * * * [misc]progress: [ 60 / 113 ] simplifiying candidate # 1546683953.440 * [enter]simplify: Simplifying (- (log (/ 1 (sqrt k))) (log (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683953.440 * * [misc]simplify: iters left: 6 (17 enodes) 1546683953.446 * * [misc]simplify: iters left: 5 (34 enodes) 1546683953.456 * * [misc]simplify: iters left: 4 (47 enodes) 1546683953.469 * * [misc]simplify: iters left: 3 (71 enodes) 1546683953.491 * * [misc]simplify: iters left: 2 (168 enodes) 1546683953.611 * [exit]simplify: Simplified to (- (fma (+ (/ k 2) -1/2) (log (* (* 2 n) PI)) (log (sqrt k)))) 1546683953.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (+ (/ k 2) -1/2) (log (* (* 2 n) PI)) (log (sqrt k)))))) 1546683953.611 * * * * [misc]progress: [ 61 / 113 ] simplifiying candidate # 1546683953.611 * * * * [misc]progress: [ 62 / 113 ] simplifiying candidate # 1546683953.611 * * * * [misc]progress: [ 63 / 113 ] simplifiying candidate # 1546683953.612 * [enter]simplify: Simplifying (/ (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683953.612 * * [misc]simplify: iters left: 6 (19 enodes) 1546683953.615 * * [misc]simplify: iters left: 5 (48 enodes) 1546683953.630 * * [misc]simplify: iters left: 4 (123 enodes) 1546683953.684 * * [misc]simplify: iters left: 3 (405 enodes) 1546683954.780 * [exit]simplify: Simplified to (* (* (/ (/ 1 (sqrt k)) (* (sqrt k) (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546683954.780 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (/ 1 (sqrt k)) (* (sqrt k) (sqrt k))) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (pow (* (* PI 2) n) (- 1/2 (/ k 2))))))) 1546683954.780 * * * * [misc]progress: [ 64 / 113 ] simplifiying candidate # 1546683954.780 * * * * [misc]progress: [ 65 / 113 ] simplifiying candidate # 1546683954.780 * * * * [misc]progress: [ 66 / 113 ] simplifiying candidate # 1546683954.780 * * * * [misc]progress: [ 67 / 113 ] simplifiying candidate # 1546683954.780 * * * * [misc]progress: [ 68 / 113 ] simplifiying candidate # 1546683954.780 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683954.781 * * [misc]simplify: iters left: 6 (19 enodes) 1546683954.787 * * [misc]simplify: iters left: 5 (33 enodes) 1546683954.792 * * [misc]simplify: iters left: 4 (51 enodes) 1546683954.798 * * [misc]simplify: iters left: 3 (56 enodes) 1546683954.806 * * [misc]simplify: iters left: 2 (59 enodes) 1546683954.813 * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) 1546683954.813 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683954.813 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683954.813 * * [misc]simplify: iters left: 6 (17 enodes) 1546683954.816 * * [misc]simplify: iters left: 5 (25 enodes) 1546683954.823 * * [misc]simplify: iters left: 4 (34 enodes) 1546683954.832 * * [misc]simplify: iters left: 3 (35 enodes) 1546683954.840 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546683954.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546683954.840 * * * * [misc]progress: [ 69 / 113 ] simplifiying candidate # 1546683954.841 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683954.841 * * [misc]simplify: iters left: 6 (18 enodes) 1546683954.843 * * [misc]simplify: iters left: 5 (28 enodes) 1546683954.847 * * [misc]simplify: iters left: 4 (39 enodes) 1546683954.852 * * [misc]simplify: iters left: 3 (42 enodes) 1546683954.859 * [exit]simplify: Simplified to (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546683954.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683954.860 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683954.860 * * [misc]simplify: iters left: 6 (17 enodes) 1546683954.862 * * [misc]simplify: iters left: 5 (25 enodes) 1546683954.865 * * [misc]simplify: iters left: 4 (34 enodes) 1546683954.873 * * [misc]simplify: iters left: 3 (35 enodes) 1546683954.882 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546683954.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546683954.882 * * * * [misc]progress: [ 70 / 113 ] simplifiying candidate # 1546683954.882 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) 1546683954.882 * * [misc]simplify: iters left: 6 (7 enodes) 1546683954.885 * * [misc]simplify: iters left: 5 (11 enodes) 1546683954.888 * * [misc]simplify: iters left: 4 (17 enodes) 1546683954.893 * * [misc]simplify: iters left: 3 (31 enodes) 1546683954.901 * * [misc]simplify: iters left: 2 (57 enodes) 1546683954.916 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546683954.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683954.916 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683954.916 * * [misc]simplify: iters left: 6 (16 enodes) 1546683954.921 * * [misc]simplify: iters left: 5 (26 enodes) 1546683954.928 * * [misc]simplify: iters left: 4 (38 enodes) 1546683954.939 * * [misc]simplify: iters left: 3 (49 enodes) 1546683954.950 * * [misc]simplify: iters left: 2 (51 enodes) 1546683954.960 * * [misc]simplify: iters left: 1 (56 enodes) 1546683954.972 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))) 1546683954.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))))) 1546683954.972 * * * * [misc]progress: [ 71 / 113 ] simplifiying candidate # 1546683954.972 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1) 1546683954.972 * * [misc]simplify: iters left: 6 (7 enodes) 1546683954.975 * * [misc]simplify: iters left: 5 (11 enodes) 1546683954.979 * * [misc]simplify: iters left: 4 (17 enodes) 1546683954.983 * * [misc]simplify: iters left: 3 (31 enodes) 1546683954.992 * * [misc]simplify: iters left: 2 (57 enodes) 1546683955.001 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546683955.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.001 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.001 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.004 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.007 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.013 * * [misc]simplify: iters left: 3 (49 enodes) 1546683955.019 * * [misc]simplify: iters left: 2 (51 enodes) 1546683955.025 * * [misc]simplify: iters left: 1 (56 enodes) 1546683955.037 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))) 1546683955.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (/ 1 (sqrt k)))))) 1546683955.038 * * * * [misc]progress: [ 72 / 113 ] simplifiying candidate # 1546683955.038 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ 1 (pow (* PI (* n 2)) 1/2))) 1546683955.038 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.043 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.050 * * [misc]simplify: iters left: 4 (39 enodes) 1546683955.061 * * [misc]simplify: iters left: 3 (56 enodes) 1546683955.077 * * [misc]simplify: iters left: 2 (79 enodes) 1546683955.101 * * [misc]simplify: iters left: 1 (138 enodes) 1546683955.154 * [exit]simplify: Simplified to (* (sqrt (* (* n PI) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) 1546683955.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* (* n PI) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))))) 1546683955.154 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) 1546683955.154 * * [misc]simplify: iters left: 6 (13 enodes) 1546683955.158 * * [misc]simplify: iters left: 5 (19 enodes) 1546683955.164 * * [misc]simplify: iters left: 4 (25 enodes) 1546683955.171 * * [misc]simplify: iters left: 3 (26 enodes) 1546683955.177 * [exit]simplify: Simplified to (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))) 1546683955.177 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* (* n PI) 2)) (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (/ (cbrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))))) 1546683955.177 * * * * [misc]progress: [ 73 / 113 ] simplifiying candidate # 1546683955.177 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.178 * * [misc]simplify: iters left: 6 (18 enodes) 1546683955.183 * * [misc]simplify: iters left: 5 (28 enodes) 1546683955.191 * * [misc]simplify: iters left: 4 (37 enodes) 1546683955.201 * * [misc]simplify: iters left: 3 (38 enodes) 1546683955.211 * [exit]simplify: Simplified to (/ (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683955.211 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683955.212 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.212 * * [misc]simplify: iters left: 6 (17 enodes) 1546683955.217 * * [misc]simplify: iters left: 5 (25 enodes) 1546683955.224 * * [misc]simplify: iters left: 4 (34 enodes) 1546683955.233 * * [misc]simplify: iters left: 3 (35 enodes) 1546683955.242 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546683955.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (/ 1 (sqrt k))) (cbrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546683955.242 * * * * [misc]progress: [ 74 / 113 ] simplifiying candidate # 1546683955.242 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.242 * * [misc]simplify: iters left: 6 (17 enodes) 1546683955.249 * * [misc]simplify: iters left: 5 (25 enodes) 1546683955.257 * * [misc]simplify: iters left: 4 (34 enodes) 1546683955.265 * * [misc]simplify: iters left: 3 (35 enodes) 1546683955.274 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546683955.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683955.275 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.275 * * [misc]simplify: iters left: 6 (17 enodes) 1546683955.280 * * [misc]simplify: iters left: 5 (25 enodes) 1546683955.287 * * [misc]simplify: iters left: 4 (34 enodes) 1546683955.296 * * [misc]simplify: iters left: 3 (35 enodes) 1546683955.305 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))) 1546683955.305 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1546683955.305 * * * * [misc]progress: [ 75 / 113 ] simplifiying candidate # 1546683955.305 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1) 1546683955.305 * * [misc]simplify: iters left: 6 (6 enodes) 1546683955.307 * * [misc]simplify: iters left: 5 (8 enodes) 1546683955.310 * * [misc]simplify: iters left: 4 (10 enodes) 1546683955.312 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546683955.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.312 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.313 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.317 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.325 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.332 * * [misc]simplify: iters left: 3 (49 enodes) 1546683955.341 * * [misc]simplify: iters left: 2 (51 enodes) 1546683955.350 * * [misc]simplify: iters left: 1 (56 enodes) 1546683955.363 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))) 1546683955.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))))) 1546683955.363 * * * * [misc]progress: [ 76 / 113 ] simplifiying candidate # 1546683955.363 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) 1) 1546683955.363 * * [misc]simplify: iters left: 6 (6 enodes) 1546683955.365 * * [misc]simplify: iters left: 5 (8 enodes) 1546683955.368 * * [misc]simplify: iters left: 4 (10 enodes) 1546683955.370 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546683955.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.370 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.370 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.375 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.380 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.387 * * [misc]simplify: iters left: 3 (49 enodes) 1546683955.393 * * [misc]simplify: iters left: 2 (51 enodes) 1546683955.398 * * [misc]simplify: iters left: 1 (56 enodes) 1546683955.404 * [exit]simplify: Simplified to (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))) 1546683955.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (/ 1 (sqrt k)))))) 1546683955.404 * * * * [misc]progress: [ 77 / 113 ] simplifiying candidate # 1546683955.405 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (/ 1 (pow (* PI (* n 2)) 1/2))) 1546683955.405 * * [misc]simplify: iters left: 6 (14 enodes) 1546683955.407 * * [misc]simplify: iters left: 5 (23 enodes) 1546683955.410 * * [misc]simplify: iters left: 4 (32 enodes) 1546683955.415 * * [misc]simplify: iters left: 3 (43 enodes) 1546683955.420 * * [misc]simplify: iters left: 2 (45 enodes) 1546683955.424 * * [misc]simplify: iters left: 1 (50 enodes) 1546683955.429 * [exit]simplify: Simplified to (* (sqrt (/ 1 (sqrt k))) (sqrt (* (* 2 n) PI))) 1546683955.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (* (* 2 n) PI))) (/ (sqrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))))) 1546683955.429 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (sqrt k))) (pow (* PI (* n 2)) (/ k 2))) 1546683955.429 * * [misc]simplify: iters left: 6 (13 enodes) 1546683955.431 * * [misc]simplify: iters left: 5 (19 enodes) 1546683955.434 * * [misc]simplify: iters left: 4 (25 enodes) 1546683955.437 * * [misc]simplify: iters left: 3 (26 enodes) 1546683955.441 * [exit]simplify: Simplified to (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))) 1546683955.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (* (* 2 n) PI))) (/ (sqrt (/ 1 (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))))) 1546683955.441 * * * * [misc]progress: [ 78 / 113 ] simplifiying candidate # 1546683955.441 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.441 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.443 * * [misc]simplify: iters left: 5 (25 enodes) 1546683955.450 * * [misc]simplify: iters left: 4 (34 enodes) 1546683955.460 * * [misc]simplify: iters left: 3 (35 enodes) 1546683955.469 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1546683955.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683955.469 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.469 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.475 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.483 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.492 * * [misc]simplify: iters left: 3 (39 enodes) 1546683955.502 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683955.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683955.503 * * * * [misc]progress: [ 79 / 113 ] simplifiying candidate # 1546683955.503 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.503 * * [misc]simplify: iters left: 6 (14 enodes) 1546683955.505 * * [misc]simplify: iters left: 5 (22 enodes) 1546683955.508 * * [misc]simplify: iters left: 4 (31 enodes) 1546683955.513 * * [misc]simplify: iters left: 3 (32 enodes) 1546683955.516 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546683955.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683955.517 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.517 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.519 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.523 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.528 * * [misc]simplify: iters left: 3 (39 enodes) 1546683955.533 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683955.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683955.533 * * * * [misc]progress: [ 80 / 113 ] simplifiying candidate # 1546683955.533 * [enter]simplify: Simplifying (/ 1 1) 1546683955.533 * * [misc]simplify: iters left: 2 (2 enodes) 1546683955.534 * * [misc]simplify: iters left: 1 (4 enodes) 1546683955.534 * [exit]simplify: Simplified to 1 1546683955.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.534 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.534 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.537 * * [misc]simplify: iters left: 5 (27 enodes) 1546683955.541 * * [misc]simplify: iters left: 4 (47 enodes) 1546683955.548 * * [misc]simplify: iters left: 3 (73 enodes) 1546683955.565 * * [misc]simplify: iters left: 2 (121 enodes) 1546683955.593 * * [misc]simplify: iters left: 1 (129 enodes) 1546683955.604 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546683955.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546683955.604 * * * * [misc]progress: [ 81 / 113 ] simplifiying candidate # 1546683955.604 * [enter]simplify: Simplifying (/ 1 1) 1546683955.604 * * [misc]simplify: iters left: 2 (2 enodes) 1546683955.604 * * [misc]simplify: iters left: 1 (4 enodes) 1546683955.605 * [exit]simplify: Simplified to 1 1546683955.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.605 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.605 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.607 * * [misc]simplify: iters left: 5 (27 enodes) 1546683955.611 * * [misc]simplify: iters left: 4 (47 enodes) 1546683955.619 * * [misc]simplify: iters left: 3 (73 enodes) 1546683955.638 * * [misc]simplify: iters left: 2 (121 enodes) 1546683955.673 * * [misc]simplify: iters left: 1 (129 enodes) 1546683955.683 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546683955.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546683955.683 * * * * [misc]progress: [ 82 / 113 ] simplifiying candidate # 1546683955.683 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) 1546683955.683 * * [misc]simplify: iters left: 6 (10 enodes) 1546683955.685 * * [misc]simplify: iters left: 5 (19 enodes) 1546683955.688 * * [misc]simplify: iters left: 4 (26 enodes) 1546683955.691 * * [misc]simplify: iters left: 3 (31 enodes) 1546683955.694 * [exit]simplify: Simplified to (sqrt (* (* 2 PI) n)) 1546683955.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))) 1546683955.695 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))) 1546683955.695 * * [misc]simplify: iters left: 6 (12 enodes) 1546683955.697 * * [misc]simplify: iters left: 5 (20 enodes) 1546683955.699 * * [misc]simplify: iters left: 4 (29 enodes) 1546683955.705 * * [misc]simplify: iters left: 3 (30 enodes) 1546683955.708 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) 1546683955.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))) 1546683955.709 * * * * [misc]progress: [ 83 / 113 ] simplifiying candidate # 1546683955.709 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.709 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.711 * * [misc]simplify: iters left: 5 (25 enodes) 1546683955.715 * * [misc]simplify: iters left: 4 (34 enodes) 1546683955.719 * * [misc]simplify: iters left: 3 (35 enodes) 1546683955.724 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) 1546683955.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (cbrt (/ 1 (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683955.724 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.724 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.726 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.730 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.736 * * [misc]simplify: iters left: 3 (39 enodes) 1546683955.741 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683955.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (/ 1 (sqrt k)) (cbrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683955.741 * * * * [misc]progress: [ 84 / 113 ] simplifiying candidate # 1546683955.741 * [enter]simplify: Simplifying (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.741 * * [misc]simplify: iters left: 6 (14 enodes) 1546683955.743 * * [misc]simplify: iters left: 5 (22 enodes) 1546683955.746 * * [misc]simplify: iters left: 4 (31 enodes) 1546683955.750 * * [misc]simplify: iters left: 3 (32 enodes) 1546683955.756 * [exit]simplify: Simplified to (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) 1546683955.756 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* 2 (* n PI)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1546683955.756 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683955.757 * * [misc]simplify: iters left: 6 (16 enodes) 1546683955.760 * * [misc]simplify: iters left: 5 (26 enodes) 1546683955.764 * * [misc]simplify: iters left: 4 (38 enodes) 1546683955.769 * * [misc]simplify: iters left: 3 (39 enodes) 1546683955.774 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683955.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1546683955.774 * * * * [misc]progress: [ 85 / 113 ] simplifiying candidate # 1546683955.774 * [enter]simplify: Simplifying (/ 1 1) 1546683955.774 * * [misc]simplify: iters left: 2 (2 enodes) 1546683955.774 * * [misc]simplify: iters left: 1 (4 enodes) 1546683955.775 * [exit]simplify: Simplified to 1 1546683955.775 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.775 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.775 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.777 * * [misc]simplify: iters left: 5 (27 enodes) 1546683955.781 * * [misc]simplify: iters left: 4 (47 enodes) 1546683955.788 * * [misc]simplify: iters left: 3 (73 enodes) 1546683955.810 * * [misc]simplify: iters left: 2 (121 enodes) 1546683955.830 * * [misc]simplify: iters left: 1 (129 enodes) 1546683955.840 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546683955.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546683955.840 * * * * [misc]progress: [ 86 / 113 ] simplifiying candidate # 1546683955.841 * [enter]simplify: Simplifying (/ 1 1) 1546683955.841 * * [misc]simplify: iters left: 2 (2 enodes) 1546683955.841 * * [misc]simplify: iters left: 1 (4 enodes) 1546683955.841 * [exit]simplify: Simplified to 1 1546683955.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546683955.841 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.842 * * [misc]simplify: iters left: 6 (15 enodes) 1546683955.844 * * [misc]simplify: iters left: 5 (27 enodes) 1546683955.848 * * [misc]simplify: iters left: 4 (47 enodes) 1546683955.855 * * [misc]simplify: iters left: 3 (73 enodes) 1546683955.881 * * [misc]simplify: iters left: 2 (121 enodes) 1546683955.904 * * [misc]simplify: iters left: 1 (129 enodes) 1546683955.914 * [exit]simplify: Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546683955.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546683955.915 * * * * [misc]progress: [ 87 / 113 ] simplifiying candidate # 1546683955.915 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) 1546683955.915 * * [misc]simplify: iters left: 6 (10 enodes) 1546683955.917 * * [misc]simplify: iters left: 5 (19 enodes) 1546683955.919 * * [misc]simplify: iters left: 4 (26 enodes) 1546683955.923 * * [misc]simplify: iters left: 3 (31 enodes) 1546683955.926 * [exit]simplify: Simplified to (sqrt (* (* 2 PI) n)) 1546683955.926 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))))) 1546683955.926 * [enter]simplify: Simplifying (/ (/ 1 (sqrt k)) (pow (* PI (* n 2)) (/ k 2))) 1546683955.926 * * [misc]simplify: iters left: 6 (12 enodes) 1546683955.928 * * [misc]simplify: iters left: 5 (20 enodes) 1546683955.931 * * [misc]simplify: iters left: 4 (29 enodes) 1546683955.938 * * [misc]simplify: iters left: 3 (30 enodes) 1546683955.945 * [exit]simplify: Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))) 1546683955.945 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (/ 1 (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))) 1546683955.945 * * * * [misc]progress: [ 88 / 113 ] simplifiying candidate # 1546683955.945 * * * * [misc]progress: [ 89 / 113 ] simplifiying candidate # 1546683955.945 * * * * [misc]progress: [ 90 / 113 ] simplifiying candidate # 1546683955.945 * * * * [misc]progress: [ 91 / 113 ] simplifiying candidate # 1546683955.946 * [enter]simplify: Simplifying (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.946 * * [misc]simplify: iters left: 6 (13 enodes) 1546683955.950 * * [misc]simplify: iters left: 5 (21 enodes) 1546683955.956 * * [misc]simplify: iters left: 4 (30 enodes) 1546683955.963 * * [misc]simplify: iters left: 3 (31 enodes) 1546683955.970 * [exit]simplify: Simplified to (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546683955.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1546683955.971 * * * * [misc]progress: [ 92 / 113 ] simplifiying candidate # 1546683955.971 * [enter]simplify: Simplifying (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546683955.971 * * [misc]simplify: iters left: 6 (13 enodes) 1546683955.975 * * [misc]simplify: iters left: 5 (21 enodes) 1546683955.978 * * [misc]simplify: iters left: 4 (30 enodes) 1546683955.982 * * [misc]simplify: iters left: 3 (31 enodes) 1546683955.985 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546683955.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1546683955.986 * * * * [misc]progress: [ 93 / 113 ] simplifiying candidate # 1546683955.986 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683955.986 * * [misc]simplify: iters left: 6 (12 enodes) 1546683955.988 * * [misc]simplify: iters left: 5 (20 enodes) 1546683955.990 * * [misc]simplify: iters left: 4 (29 enodes) 1546683955.995 * * [misc]simplify: iters left: 3 (30 enodes) 1546683955.999 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546683955.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546683955.999 * * * * [misc]progress: [ 94 / 113 ] simplifiying candidate # 1546683955.999 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546683955.999 * * [misc]simplify: iters left: 6 (12 enodes) 1546683956.001 * * [misc]simplify: iters left: 5 (20 enodes) 1546683956.004 * * [misc]simplify: iters left: 4 (29 enodes) 1546683956.008 * * [misc]simplify: iters left: 3 (30 enodes) 1546683956.011 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546683956.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546683956.011 * * * * [misc]progress: [ 95 / 113 ] simplifiying candidate # 1546683956.012 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546683956.012 * * [misc]simplify: iters left: 5 (8 enodes) 1546683956.013 * * [misc]simplify: iters left: 4 (12 enodes) 1546683956.014 * * [misc]simplify: iters left: 3 (18 enodes) 1546683956.017 * * [misc]simplify: iters left: 2 (20 enodes) 1546683956.019 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546683956.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (sqrt k)) (/ 1 (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546683956.019 * * * * [misc]progress: [ 96 / 113 ] simplifiying candidate # 1546683956.020 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546683956.020 * * [misc]simplify: iters left: 6 (6 enodes) 1546683956.020 * * [misc]simplify: iters left: 5 (8 enodes) 1546683956.021 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1546683956.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (/ (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (/ 1 (sqrt k)))))) 1546683956.022 * * * * [misc]progress: [ 97 / 113 ] simplifiying candidate # 1546683956.022 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1546683956.022 * * [misc]simplify: iters left: 4 (5 enodes) 1546683956.022 * * [misc]simplify: iters left: 3 (7 enodes) 1546683956.023 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1546683956.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ 1 (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (/ 1 (sqrt k)))))) 1546683956.023 * * * * [misc]progress: [ 98 / 113 ] simplifiying candidate # 1546683956.023 * * * * [misc]progress: [ 99 / 113 ] simplifiying candidate # 1546683956.024 * * * * [misc]progress: [ 100 / 113 ] simplifiying candidate # 1546683956.024 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546683956.024 * * [misc]simplify: iters left: 5 (10 enodes) 1546683956.025 * * [misc]simplify: iters left: 4 (16 enodes) 1546683956.027 * * [misc]simplify: iters left: 3 (25 enodes) 1546683956.031 * * [misc]simplify: iters left: 2 (26 enodes) 1546683956.034 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546683956.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt k)) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546683956.034 * * * * [misc]progress: [ 101 / 113 ] simplifiying candidate # 1546683956.034 * * * * [misc]progress: [ 102 / 113 ] simplifiying candidate # 1546683956.034 * [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))))) 1546683956.034 * * [misc]simplify: iters left: 6 (37 enodes) 1546683956.042 * * [misc]simplify: iters left: 5 (108 enodes) 1546683956.069 * * [misc]simplify: iters left: 4 (368 enodes) 1546683956.331 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1546683956.331 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))) 1546683956.331 * * * * [misc]progress: [ 103 / 113 ] simplifiying candidate # 1546683956.331 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546683956.331 * * [misc]simplify: iters left: 6 (15 enodes) 1546683956.337 * * [misc]simplify: iters left: 5 (33 enodes) 1546683956.348 * * [misc]simplify: iters left: 4 (64 enodes) 1546683956.371 * * [misc]simplify: iters left: 3 (179 enodes) 1546683956.484 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1546683956.484 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1546683956.484 * * * * [misc]progress: [ 104 / 113 ] simplifiying candidate # 1546683956.484 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546683956.484 * * [misc]simplify: iters left: 6 (15 enodes) 1546683956.487 * * [misc]simplify: iters left: 5 (30 enodes) 1546683956.497 * * [misc]simplify: iters left: 4 (65 enodes) 1546683956.527 * * [misc]simplify: iters left: 3 (208 enodes) 1546683956.694 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1546683956.694 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1546683956.694 * * * * [misc]progress: [ 105 / 113 ] simplifiying candidate # 1546683956.694 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1546683956.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683956.694 * * * * [misc]progress: [ 106 / 113 ] simplifiying candidate # 1546683956.695 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1546683956.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683956.695 * * * * [misc]progress: [ 107 / 113 ] simplifiying candidate # 1546683956.695 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1546683956.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546683956.695 * * * * [misc]progress: [ 108 / 113 ] simplifiying candidate # 1546683956.695 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683956.695 * * [misc]simplify: iters left: 4 (5 enodes) 1546683956.697 * * [misc]simplify: iters left: 3 (9 enodes) 1546683956.699 * * [misc]simplify: iters left: 2 (15 enodes) 1546683956.703 * * [misc]simplify: iters left: 1 (17 enodes) 1546683956.707 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683956.707 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683956.707 * * * * [misc]progress: [ 109 / 113 ] simplifiying candidate # 1546683956.708 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683956.708 * * [misc]simplify: iters left: 4 (5 enodes) 1546683956.709 * * [misc]simplify: iters left: 3 (9 enodes) 1546683956.712 * * [misc]simplify: iters left: 2 (15 enodes) 1546683956.716 * * [misc]simplify: iters left: 1 (17 enodes) 1546683956.720 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683956.720 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683956.720 * * * * [misc]progress: [ 110 / 113 ] simplifiying candidate # 1546683956.720 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546683956.720 * * [misc]simplify: iters left: 4 (5 enodes) 1546683956.722 * * [misc]simplify: iters left: 3 (9 enodes) 1546683956.725 * * [misc]simplify: iters left: 2 (15 enodes) 1546683956.729 * * [misc]simplify: iters left: 1 (17 enodes) 1546683956.733 * [exit]simplify: Simplified to (* (* PI n) 2) 1546683956.733 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546683956.733 * * * * [misc]progress: [ 111 / 113 ] simplifiying candidate # 1546683956.733 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1546683956.733 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683956.733 * * * * [misc]progress: [ 112 / 113 ] simplifiying candidate # 1546683956.733 * [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)))))))) 1546683956.733 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683956.733 * * * * [misc]progress: [ 113 / 113 ] simplifiying candidate # 1546683956.734 * [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))))))))))) 1546683956.734 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683956.734 * * * [misc]progress: adding candidates to table 1546683958.116 * * [misc]progress: iteration 4 / 4 1546683958.116 * * * [misc]progress: picking best candidate 1546683958.167 * * * * [misc]pick: Picked # 1546683958.167 * * * [misc]progress: localizing error 1546683958.188 * * * [misc]progress: generating rewritten candidates 1546683958.188 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546683958.190 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1546683958.190 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546683958.194 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546683958.207 * * * [misc]progress: generating series expansions 1546683958.207 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546683958.207 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546683958.207 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546683958.207 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546683958.207 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546683958.207 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546683958.207 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.208 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.208 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.208 * [misc]taylor: Taking taylor expansion of k in k 1546683958.208 * [misc]backup-simplify: Simplify 0 into 0 1546683958.208 * [misc]backup-simplify: Simplify 1 into 1 1546683958.208 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546683958.208 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546683958.208 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.208 * [misc]backup-simplify: Simplify 2 into 2 1546683958.208 * [misc]taylor: Taking taylor expansion of n in k 1546683958.208 * [misc]backup-simplify: Simplify n into n 1546683958.208 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546683958.208 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546683958.208 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.208 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.208 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.208 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546683958.208 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546683958.208 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546683958.208 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546683958.208 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546683958.208 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683958.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.209 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683958.209 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.209 * [misc]taylor: Taking taylor expansion of k in n 1546683958.209 * [misc]backup-simplify: Simplify k into k 1546683958.209 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.209 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.209 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.209 * [misc]backup-simplify: Simplify 2 into 2 1546683958.209 * [misc]taylor: Taking taylor expansion of n in n 1546683958.209 * [misc]backup-simplify: Simplify 0 into 0 1546683958.209 * [misc]backup-simplify: Simplify 1 into 1 1546683958.209 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.209 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.209 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.209 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683958.209 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683958.209 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683958.209 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.210 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546683958.210 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1546683958.210 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.210 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.210 * [misc]taylor: Taking taylor expansion of k in n 1546683958.210 * [misc]backup-simplify: Simplify k into k 1546683958.210 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.210 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.210 * [misc]backup-simplify: Simplify 2 into 2 1546683958.210 * [misc]taylor: Taking taylor expansion of n in n 1546683958.210 * [misc]backup-simplify: Simplify 0 into 0 1546683958.210 * [misc]backup-simplify: Simplify 1 into 1 1546683958.210 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.210 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.211 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.211 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683958.211 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683958.211 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683958.211 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.211 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546683958.211 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1546683958.211 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546683958.211 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546683958.211 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546683958.211 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546683958.211 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.211 * [misc]backup-simplify: Simplify 2 into 2 1546683958.212 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.212 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683958.212 * [misc]taylor: Taking taylor expansion of n in k 1546683958.212 * [misc]backup-simplify: Simplify n into n 1546683958.212 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683958.212 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.212 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.212 * [misc]taylor: Taking taylor expansion of k in k 1546683958.212 * [misc]backup-simplify: Simplify 0 into 0 1546683958.212 * [misc]backup-simplify: Simplify 1 into 1 1546683958.212 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546683958.212 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.212 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.212 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.212 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546683958.213 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546683958.213 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546683958.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.214 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.215 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546683958.215 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.215 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.215 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.215 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546683958.216 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.216 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.216 * [misc]backup-simplify: Simplify 0 into 0 1546683958.216 * [misc]backup-simplify: Simplify 0 into 0 1546683958.216 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683958.216 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.216 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.218 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.218 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546683958.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.219 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546683958.219 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1546683958.220 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1546683958.220 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546683958.223 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546683958.223 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546683958.223 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.223 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.223 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.224 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546683958.225 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546683958.225 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.225 * [misc]backup-simplify: Simplify 0 into 0 1546683958.225 * [misc]backup-simplify: Simplify 0 into 0 1546683958.225 * [misc]backup-simplify: Simplify 0 into 0 1546683958.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.225 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.228 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546683958.229 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546683958.229 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.229 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546683958.230 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1546683958.231 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1546683958.233 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1546683958.233 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.233 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546683958.233 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.233 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546683958.233 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546683958.233 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.233 * [misc]taylor: Taking taylor expansion of k in k 1546683958.233 * [misc]backup-simplify: Simplify 0 into 0 1546683958.233 * [misc]backup-simplify: Simplify 1 into 1 1546683958.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.234 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546683958.234 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546683958.234 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.234 * [misc]backup-simplify: Simplify 2 into 2 1546683958.234 * [misc]taylor: Taking taylor expansion of n in k 1546683958.234 * [misc]backup-simplify: Simplify n into n 1546683958.234 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546683958.234 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546683958.234 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.234 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.234 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.234 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546683958.234 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.234 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.234 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.234 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.234 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.234 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.234 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.234 * [misc]taylor: Taking taylor expansion of k in n 1546683958.234 * [misc]backup-simplify: Simplify k into k 1546683958.235 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.235 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.235 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.235 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.235 * [misc]backup-simplify: Simplify 2 into 2 1546683958.235 * [misc]taylor: Taking taylor expansion of n in n 1546683958.235 * [misc]backup-simplify: Simplify 0 into 0 1546683958.235 * [misc]backup-simplify: Simplify 1 into 1 1546683958.235 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.235 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.235 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.235 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.235 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.235 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.235 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.236 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.236 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of k in n 1546683958.236 * [misc]backup-simplify: Simplify k into k 1546683958.236 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.236 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.236 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.236 * [misc]backup-simplify: Simplify 2 into 2 1546683958.236 * [misc]taylor: Taking taylor expansion of n in n 1546683958.236 * [misc]backup-simplify: Simplify 0 into 0 1546683958.236 * [misc]backup-simplify: Simplify 1 into 1 1546683958.236 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.236 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.236 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.236 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.236 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.237 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.237 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.237 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.237 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546683958.237 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546683958.237 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.237 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.237 * [misc]taylor: Taking taylor expansion of k in k 1546683958.237 * [misc]backup-simplify: Simplify 0 into 0 1546683958.237 * [misc]backup-simplify: Simplify 1 into 1 1546683958.237 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.237 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546683958.238 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546683958.238 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.238 * [misc]backup-simplify: Simplify 2 into 2 1546683958.238 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.238 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683958.238 * [misc]taylor: Taking taylor expansion of n in k 1546683958.238 * [misc]backup-simplify: Simplify n into n 1546683958.238 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683958.238 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.238 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.238 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.238 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683958.238 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546683958.238 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546683958.239 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.239 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.239 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546683958.241 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.242 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.242 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.242 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.243 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.243 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546683958.244 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.244 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.244 * [misc]backup-simplify: Simplify 0 into 0 1546683958.245 * [misc]backup-simplify: Simplify 0 into 0 1546683958.245 * [misc]backup-simplify: Simplify 0 into 0 1546683958.245 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.255 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546683958.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683958.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683958.256 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.257 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.257 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546683958.259 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546683958.259 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.259 * [misc]backup-simplify: Simplify 0 into 0 1546683958.259 * [misc]backup-simplify: Simplify 0 into 0 1546683958.259 * [misc]backup-simplify: Simplify 0 into 0 1546683958.260 * [misc]backup-simplify: Simplify 0 into 0 1546683958.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.267 * [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 1546683958.267 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683958.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683958.268 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.269 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546683958.273 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546683958.273 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.273 * [misc]backup-simplify: Simplify 0 into 0 1546683958.273 * [misc]backup-simplify: Simplify 0 into 0 1546683958.273 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546683958.274 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.274 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546683958.274 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of k in k 1546683958.274 * [misc]backup-simplify: Simplify 0 into 0 1546683958.274 * [misc]backup-simplify: Simplify 1 into 1 1546683958.274 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.274 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546683958.274 * [misc]taylor: Taking taylor expansion of -2 in k 1546683958.274 * [misc]backup-simplify: Simplify -2 into -2 1546683958.274 * [misc]taylor: Taking taylor expansion of n in k 1546683958.274 * [misc]backup-simplify: Simplify n into n 1546683958.274 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546683958.275 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546683958.275 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.275 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.275 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546683958.275 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.275 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.275 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.275 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.275 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.275 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.275 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.275 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.275 * [misc]taylor: Taking taylor expansion of k in n 1546683958.275 * [misc]backup-simplify: Simplify k into k 1546683958.276 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.276 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.276 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.276 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.276 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.276 * [misc]backup-simplify: Simplify -2 into -2 1546683958.276 * [misc]taylor: Taking taylor expansion of n in n 1546683958.276 * [misc]backup-simplify: Simplify 0 into 0 1546683958.276 * [misc]backup-simplify: Simplify 1 into 1 1546683958.276 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.276 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.276 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.276 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.277 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.277 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.277 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.277 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.277 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.277 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.277 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.277 * [misc]taylor: Taking taylor expansion of k in n 1546683958.278 * [misc]backup-simplify: Simplify k into k 1546683958.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.278 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.278 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.278 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.278 * [misc]backup-simplify: Simplify -2 into -2 1546683958.278 * [misc]taylor: Taking taylor expansion of n in n 1546683958.278 * [misc]backup-simplify: Simplify 0 into 0 1546683958.278 * [misc]backup-simplify: Simplify 1 into 1 1546683958.278 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.278 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.278 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.279 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.279 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.279 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546683958.279 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546683958.279 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.279 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.279 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.279 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.279 * [misc]taylor: Taking taylor expansion of k in k 1546683958.279 * [misc]backup-simplify: Simplify 0 into 0 1546683958.280 * [misc]backup-simplify: Simplify 1 into 1 1546683958.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.280 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546683958.280 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546683958.280 * [misc]taylor: Taking taylor expansion of -2 in k 1546683958.280 * [misc]backup-simplify: Simplify -2 into -2 1546683958.280 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.280 * [misc]taylor: Taking taylor expansion of (log n) in k 1546683958.280 * [misc]taylor: Taking taylor expansion of n in k 1546683958.280 * [misc]backup-simplify: Simplify n into n 1546683958.280 * [misc]backup-simplify: Simplify (log n) into (log n) 1546683958.280 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.280 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.280 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546683958.280 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546683958.280 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546683958.281 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.281 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546683958.283 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546683958.283 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.283 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.283 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.283 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546683958.284 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.284 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.284 * [misc]backup-simplify: Simplify 0 into 0 1546683958.284 * [misc]backup-simplify: Simplify 0 into 0 1546683958.284 * [misc]backup-simplify: Simplify 0 into 0 1546683958.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.287 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546683958.287 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683958.288 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546683958.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.288 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.288 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546683958.290 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546683958.290 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.290 * [misc]backup-simplify: Simplify 0 into 0 1546683958.290 * [misc]backup-simplify: Simplify 0 into 0 1546683958.290 * [misc]backup-simplify: Simplify 0 into 0 1546683958.290 * [misc]backup-simplify: Simplify 0 into 0 1546683958.290 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.294 * [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 1546683958.294 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546683958.294 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546683958.294 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.295 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.295 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546683958.297 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1546683958.297 * [misc]taylor: Taking taylor expansion of 0 in k 1546683958.297 * [misc]backup-simplify: Simplify 0 into 0 1546683958.297 * [misc]backup-simplify: Simplify 0 into 0 1546683958.298 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546683958.298 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1546683958.298 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546683958.298 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546683958.298 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546683958.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546683958.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546683958.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.298 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.298 * [misc]taylor: Taking taylor expansion of k in k 1546683958.298 * [misc]backup-simplify: Simplify 0 into 0 1546683958.298 * [misc]backup-simplify: Simplify 1 into 1 1546683958.298 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.298 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.298 * [misc]backup-simplify: Simplify PI into PI 1546683958.298 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.299 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.299 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.299 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.299 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.299 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546683958.300 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546683958.300 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546683958.300 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546683958.300 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.300 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.300 * [misc]taylor: Taking taylor expansion of k in k 1546683958.300 * [misc]backup-simplify: Simplify 0 into 0 1546683958.300 * [misc]backup-simplify: Simplify 1 into 1 1546683958.300 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.300 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.300 * [misc]backup-simplify: Simplify PI into PI 1546683958.300 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.300 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.300 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.300 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.301 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.301 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546683958.301 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546683958.303 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546683958.303 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683958.303 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.303 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.304 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546683958.306 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546683958.306 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546683958.310 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546683958.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.310 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546683958.316 * [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))) 1546683958.317 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546683958.320 * [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)))) 1546683958.320 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.320 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546683958.320 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546683958.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546683958.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.320 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.320 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.320 * [misc]taylor: Taking taylor expansion of k in k 1546683958.320 * [misc]backup-simplify: Simplify 0 into 0 1546683958.320 * [misc]backup-simplify: Simplify 1 into 1 1546683958.321 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.321 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.321 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.321 * [misc]backup-simplify: Simplify PI into PI 1546683958.321 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.321 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.321 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.321 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.322 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546683958.322 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.322 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.322 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546683958.322 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546683958.322 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.322 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.322 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.322 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.322 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.323 * [misc]taylor: Taking taylor expansion of k in k 1546683958.323 * [misc]backup-simplify: Simplify 0 into 0 1546683958.323 * [misc]backup-simplify: Simplify 1 into 1 1546683958.323 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.323 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.323 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.323 * [misc]backup-simplify: Simplify PI into PI 1546683958.323 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.323 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.323 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.324 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.324 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546683958.324 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.325 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.325 * [misc]backup-simplify: Simplify 0 into 0 1546683958.325 * [misc]backup-simplify: Simplify 0 into 0 1546683958.325 * [misc]backup-simplify: Simplify 0 into 0 1546683958.325 * [misc]backup-simplify: Simplify 0 into 0 1546683958.325 * [misc]backup-simplify: Simplify 0 into 0 1546683958.325 * [misc]backup-simplify: Simplify 0 into 0 1546683958.325 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546683958.325 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.325 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546683958.325 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.325 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546683958.325 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546683958.325 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.325 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.325 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.326 * [misc]taylor: Taking taylor expansion of k in k 1546683958.326 * [misc]backup-simplify: Simplify 0 into 0 1546683958.326 * [misc]backup-simplify: Simplify 1 into 1 1546683958.326 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.326 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.326 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.326 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.326 * [misc]backup-simplify: Simplify PI into PI 1546683958.326 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.326 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.327 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.327 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.327 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.328 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.328 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of k in k 1546683958.328 * [misc]backup-simplify: Simplify 0 into 0 1546683958.328 * [misc]backup-simplify: Simplify 1 into 1 1546683958.328 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.328 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.328 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.328 * [misc]backup-simplify: Simplify PI into PI 1546683958.328 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.328 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.329 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.329 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.329 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.330 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.330 * [misc]backup-simplify: Simplify 0 into 0 1546683958.330 * [misc]backup-simplify: Simplify 0 into 0 1546683958.330 * [misc]backup-simplify: Simplify 0 into 0 1546683958.330 * [misc]backup-simplify: Simplify 0 into 0 1546683958.330 * [misc]backup-simplify: Simplify 0 into 0 1546683958.330 * [misc]backup-simplify: Simplify 0 into 0 1546683958.330 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546683958.330 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546683958.330 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1546683958.330 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546683958.330 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546683958.330 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1546683958.330 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546683958.330 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546683958.331 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546683958.331 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683958.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.331 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683958.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.331 * [misc]taylor: Taking taylor expansion of k in n 1546683958.331 * [misc]backup-simplify: Simplify k into k 1546683958.331 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.331 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.331 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.331 * [misc]backup-simplify: Simplify 2 into 2 1546683958.331 * [misc]taylor: Taking taylor expansion of n in n 1546683958.331 * [misc]backup-simplify: Simplify 0 into 0 1546683958.331 * [misc]backup-simplify: Simplify 1 into 1 1546683958.331 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.331 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.331 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.332 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683958.332 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683958.332 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683958.332 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.332 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546683958.333 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1546683958.333 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1546683958.333 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683958.333 * [misc]taylor: Taking taylor expansion of k in n 1546683958.333 * [misc]backup-simplify: Simplify k into k 1546683958.333 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683958.333 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683958.333 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.333 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.334 * [misc]taylor: Taking taylor expansion of k in k 1546683958.334 * [misc]backup-simplify: Simplify 0 into 0 1546683958.334 * [misc]backup-simplify: Simplify 1 into 1 1546683958.334 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546683958.334 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546683958.334 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.334 * [misc]backup-simplify: Simplify 2 into 2 1546683958.334 * [misc]taylor: Taking taylor expansion of n in k 1546683958.334 * [misc]backup-simplify: Simplify n into n 1546683958.334 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546683958.334 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546683958.334 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.334 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.334 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.334 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546683958.334 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546683958.335 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546683958.335 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683958.335 * [misc]taylor: Taking taylor expansion of k in k 1546683958.335 * [misc]backup-simplify: Simplify 0 into 0 1546683958.335 * [misc]backup-simplify: Simplify 1 into 1 1546683958.335 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.336 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.336 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.336 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.336 * [misc]taylor: Taking taylor expansion of k in k 1546683958.336 * [misc]backup-simplify: Simplify 0 into 0 1546683958.336 * [misc]backup-simplify: Simplify 1 into 1 1546683958.336 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546683958.336 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.336 * [misc]backup-simplify: Simplify 2 into 2 1546683958.336 * [misc]taylor: Taking taylor expansion of n in k 1546683958.336 * [misc]backup-simplify: Simplify n into n 1546683958.336 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546683958.336 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546683958.336 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.337 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.337 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.337 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546683958.337 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546683958.337 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546683958.337 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683958.337 * [misc]taylor: Taking taylor expansion of k in k 1546683958.337 * [misc]backup-simplify: Simplify 0 into 0 1546683958.337 * [misc]backup-simplify: Simplify 1 into 1 1546683958.337 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.338 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.338 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1546683958.338 * [misc]taylor: Taking taylor expansion of 0 in n 1546683958.338 * [misc]backup-simplify: Simplify 0 into 0 1546683958.338 * [misc]backup-simplify: Simplify 0 into 0 1546683958.338 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546683958.339 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546683958.339 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683958.339 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.339 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546683958.340 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1546683958.340 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1546683958.341 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1546683958.341 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546683958.341 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546683958.341 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.341 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.341 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546683958.341 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546683958.341 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546683958.341 * [misc]taylor: Taking taylor expansion of n in n 1546683958.341 * [misc]backup-simplify: Simplify 0 into 0 1546683958.341 * [misc]backup-simplify: Simplify 1 into 1 1546683958.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.341 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.341 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.341 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546683958.341 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.341 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546683958.342 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546683958.342 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.342 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546683958.343 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546683958.343 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.344 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.344 * [misc]backup-simplify: Simplify 0 into 0 1546683958.344 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.345 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546683958.345 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1546683958.346 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.346 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.346 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546683958.347 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1546683958.348 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1546683958.350 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1546683958.350 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1546683958.350 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1546683958.350 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1546683958.350 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.350 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.350 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1546683958.350 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1546683958.350 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.350 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.350 * [misc]backup-simplify: Simplify 2 into 2 1546683958.351 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.351 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.351 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1546683958.351 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.351 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.351 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.351 * [misc]backup-simplify: Simplify 2 into 2 1546683958.351 * [misc]taylor: Taking taylor expansion of n in n 1546683958.351 * [misc]backup-simplify: Simplify 0 into 0 1546683958.351 * [misc]backup-simplify: Simplify 1 into 1 1546683958.351 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.351 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.351 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.351 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546683958.351 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546683958.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.351 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546683958.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546683958.352 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of n in n 1546683958.352 * [misc]backup-simplify: Simplify 0 into 0 1546683958.352 * [misc]backup-simplify: Simplify 1 into 1 1546683958.352 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.352 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.352 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.352 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.352 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.352 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546683958.352 * [misc]taylor: Taking taylor expansion of n in n 1546683958.352 * [misc]backup-simplify: Simplify 0 into 0 1546683958.352 * [misc]backup-simplify: Simplify 1 into 1 1546683958.352 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.352 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.353 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.353 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546683958.353 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.353 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546683958.353 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546683958.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.354 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546683958.354 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1546683958.355 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1546683958.355 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.355 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546683958.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.357 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546683958.357 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1546683958.358 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1546683958.359 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1546683958.361 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1546683958.361 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.361 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546683958.362 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546683958.362 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.364 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1546683958.366 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1546683958.369 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1546683958.371 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546683958.371 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683958.372 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.373 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.374 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.375 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.376 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546683958.382 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1546683958.383 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1546683958.383 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546683958.383 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of k in n 1546683958.383 * [misc]backup-simplify: Simplify k into k 1546683958.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.383 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.383 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.383 * [misc]backup-simplify: Simplify 2 into 2 1546683958.383 * [misc]taylor: Taking taylor expansion of n in n 1546683958.383 * [misc]backup-simplify: Simplify 0 into 0 1546683958.383 * [misc]backup-simplify: Simplify 1 into 1 1546683958.384 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.384 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.384 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.384 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.384 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.385 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.385 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.385 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.386 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.386 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683958.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.386 * [misc]taylor: Taking taylor expansion of k in n 1546683958.386 * [misc]backup-simplify: Simplify k into k 1546683958.386 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.386 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683958.386 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.386 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683958.386 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.387 * [misc]taylor: Taking taylor expansion of k in k 1546683958.387 * [misc]backup-simplify: Simplify 0 into 0 1546683958.387 * [misc]backup-simplify: Simplify 1 into 1 1546683958.387 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.387 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546683958.387 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546683958.387 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.387 * [misc]backup-simplify: Simplify 2 into 2 1546683958.387 * [misc]taylor: Taking taylor expansion of n in k 1546683958.387 * [misc]backup-simplify: Simplify n into n 1546683958.387 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546683958.387 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546683958.387 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.387 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.388 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.388 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546683958.388 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.388 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1546683958.388 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683958.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.388 * [misc]taylor: Taking taylor expansion of k in k 1546683958.388 * [misc]backup-simplify: Simplify 0 into 0 1546683958.388 * [misc]backup-simplify: Simplify 1 into 1 1546683958.388 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.389 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.389 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.389 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.389 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.389 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.390 * [misc]taylor: Taking taylor expansion of k in k 1546683958.390 * [misc]backup-simplify: Simplify 0 into 0 1546683958.390 * [misc]backup-simplify: Simplify 1 into 1 1546683958.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.390 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546683958.390 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546683958.390 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.390 * [misc]backup-simplify: Simplify 2 into 2 1546683958.390 * [misc]taylor: Taking taylor expansion of n in k 1546683958.390 * [misc]backup-simplify: Simplify n into n 1546683958.390 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546683958.390 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546683958.390 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.390 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.391 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.391 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546683958.391 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.391 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1546683958.391 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683958.391 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.391 * [misc]taylor: Taking taylor expansion of k in k 1546683958.391 * [misc]backup-simplify: Simplify 0 into 0 1546683958.391 * [misc]backup-simplify: Simplify 1 into 1 1546683958.391 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.391 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.392 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.392 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546683958.392 * [misc]taylor: Taking taylor expansion of 0 in n 1546683958.392 * [misc]backup-simplify: Simplify 0 into 0 1546683958.392 * [misc]backup-simplify: Simplify 0 into 0 1546683958.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683958.393 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683958.393 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.393 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.393 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.394 * [misc]taylor: Taking taylor expansion of k in n 1546683958.394 * [misc]backup-simplify: Simplify k into k 1546683958.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.394 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.394 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.394 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.394 * [misc]backup-simplify: Simplify 2 into 2 1546683958.394 * [misc]taylor: Taking taylor expansion of n in n 1546683958.394 * [misc]backup-simplify: Simplify 0 into 0 1546683958.394 * [misc]backup-simplify: Simplify 1 into 1 1546683958.394 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.394 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.394 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.394 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.394 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.395 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.395 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.396 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.396 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.397 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.397 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.397 * [misc]backup-simplify: Simplify 0 into 0 1546683958.398 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683958.399 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.399 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683958.400 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683958.400 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.400 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.400 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.400 * [misc]taylor: Taking taylor expansion of k in n 1546683958.400 * [misc]backup-simplify: Simplify k into k 1546683958.400 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.400 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.401 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.401 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.401 * [misc]backup-simplify: Simplify 2 into 2 1546683958.401 * [misc]taylor: Taking taylor expansion of n in n 1546683958.401 * [misc]backup-simplify: Simplify 0 into 0 1546683958.401 * [misc]backup-simplify: Simplify 1 into 1 1546683958.401 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.401 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.401 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.401 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.401 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.402 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.402 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.403 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.403 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.403 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.404 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.404 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546683958.407 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.407 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.408 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546683958.409 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.410 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1546683958.410 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546683958.411 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.411 * [misc]backup-simplify: Simplify 0 into 0 1546683958.411 * [misc]backup-simplify: Simplify 0 into 0 1546683958.411 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.412 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683958.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683958.412 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683958.412 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683958.412 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683958.412 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.412 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.412 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.412 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.412 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.413 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of k in n 1546683958.413 * [misc]backup-simplify: Simplify k into k 1546683958.413 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.413 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.413 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.413 * [misc]backup-simplify: Simplify 2 into 2 1546683958.413 * [misc]taylor: Taking taylor expansion of n in n 1546683958.413 * [misc]backup-simplify: Simplify 0 into 0 1546683958.413 * [misc]backup-simplify: Simplify 1 into 1 1546683958.413 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.413 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.413 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.413 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.414 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.414 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.414 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.414 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.414 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.415 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.416 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1546683958.416 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.416 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546683958.416 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of -1 in n 1546683958.416 * [misc]backup-simplify: Simplify -1 into -1 1546683958.416 * [misc]taylor: Taking taylor expansion of k in n 1546683958.416 * [misc]backup-simplify: Simplify k into k 1546683958.416 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683958.416 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683958.416 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683958.416 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683958.416 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.416 * [misc]taylor: Taking taylor expansion of k in n 1546683958.416 * [misc]backup-simplify: Simplify k into k 1546683958.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.416 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.417 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.417 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.417 * [misc]backup-simplify: Simplify -2 into -2 1546683958.417 * [misc]taylor: Taking taylor expansion of n in n 1546683958.417 * [misc]backup-simplify: Simplify 0 into 0 1546683958.417 * [misc]backup-simplify: Simplify 1 into 1 1546683958.417 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.417 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.417 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.417 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.417 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.418 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.418 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.418 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546683958.418 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683958.418 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683958.418 * [misc]taylor: Taking taylor expansion of -1 in k 1546683958.418 * [misc]backup-simplify: Simplify -1 into -1 1546683958.418 * [misc]taylor: Taking taylor expansion of k in k 1546683958.418 * [misc]backup-simplify: Simplify 0 into 0 1546683958.418 * [misc]backup-simplify: Simplify 1 into 1 1546683958.418 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683958.418 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.419 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683958.419 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of k in k 1546683958.419 * [misc]backup-simplify: Simplify 0 into 0 1546683958.419 * [misc]backup-simplify: Simplify 1 into 1 1546683958.419 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.419 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.419 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546683958.419 * [misc]taylor: Taking taylor expansion of -2 in k 1546683958.419 * [misc]backup-simplify: Simplify -2 into -2 1546683958.419 * [misc]taylor: Taking taylor expansion of n in k 1546683958.419 * [misc]backup-simplify: Simplify n into n 1546683958.419 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546683958.419 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546683958.419 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.419 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.419 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546683958.419 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.420 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.420 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of -1 in k 1546683958.420 * [misc]backup-simplify: Simplify -1 into -1 1546683958.420 * [misc]taylor: Taking taylor expansion of k in k 1546683958.420 * [misc]backup-simplify: Simplify 0 into 0 1546683958.420 * [misc]backup-simplify: Simplify 1 into 1 1546683958.420 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683958.420 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.420 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683958.420 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.420 * [misc]taylor: Taking taylor expansion of k in k 1546683958.420 * [misc]backup-simplify: Simplify 0 into 0 1546683958.420 * [misc]backup-simplify: Simplify 1 into 1 1546683958.421 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.421 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546683958.421 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546683958.421 * [misc]taylor: Taking taylor expansion of -2 in k 1546683958.421 * [misc]backup-simplify: Simplify -2 into -2 1546683958.421 * [misc]taylor: Taking taylor expansion of n in k 1546683958.421 * [misc]backup-simplify: Simplify n into n 1546683958.421 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546683958.421 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546683958.421 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.421 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.421 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546683958.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.421 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.422 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.422 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.422 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of k in n 1546683958.422 * [misc]backup-simplify: Simplify k into k 1546683958.422 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.422 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.422 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.422 * [misc]backup-simplify: Simplify -2 into -2 1546683958.422 * [misc]taylor: Taking taylor expansion of n in n 1546683958.422 * [misc]backup-simplify: Simplify 0 into 0 1546683958.422 * [misc]backup-simplify: Simplify 1 into 1 1546683958.422 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.422 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.423 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.423 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.423 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.423 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.424 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.424 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.424 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.425 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683958.426 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.426 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.426 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683958.426 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683958.426 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.426 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.426 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.426 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.426 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.426 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.426 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.427 * [misc]taylor: Taking taylor expansion of k in n 1546683958.427 * [misc]backup-simplify: Simplify k into k 1546683958.427 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.427 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.427 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.427 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.427 * [misc]backup-simplify: Simplify -2 into -2 1546683958.427 * [misc]taylor: Taking taylor expansion of n in n 1546683958.427 * [misc]backup-simplify: Simplify 0 into 0 1546683958.427 * [misc]backup-simplify: Simplify 1 into 1 1546683958.427 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.427 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.427 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.428 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.428 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.428 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.428 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.429 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.429 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.430 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1546683958.430 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1546683958.430 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546683958.433 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546683958.433 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.434 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.434 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546683958.435 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.436 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1546683958.436 * [misc]backup-simplify: Simplify 0 into 0 1546683958.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.438 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683958.439 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.439 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.439 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.439 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.439 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of k in n 1546683958.439 * [misc]backup-simplify: Simplify k into k 1546683958.439 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.439 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.439 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.439 * [misc]backup-simplify: Simplify -2 into -2 1546683958.439 * [misc]taylor: Taking taylor expansion of n in n 1546683958.439 * [misc]backup-simplify: Simplify 0 into 0 1546683958.439 * [misc]backup-simplify: Simplify 1 into 1 1546683958.440 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.440 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.440 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.440 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.440 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.441 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.441 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.441 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.442 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1546683958.442 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1546683958.442 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1546683958.444 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1546683958.444 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546683958.444 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1546683958.445 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1546683958.445 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.445 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.445 * [misc]taylor: Taking taylor expansion of k in n 1546683958.445 * [misc]backup-simplify: Simplify k into k 1546683958.445 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.445 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.445 * [misc]backup-simplify: Simplify 2 into 2 1546683958.445 * [misc]taylor: Taking taylor expansion of n in n 1546683958.445 * [misc]backup-simplify: Simplify 0 into 0 1546683958.445 * [misc]backup-simplify: Simplify 1 into 1 1546683958.445 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.446 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.446 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.446 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683958.446 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683958.446 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683958.446 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.447 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546683958.447 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1546683958.447 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1546683958.447 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1546683958.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1546683958.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546683958.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546683958.447 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.448 * [misc]taylor: Taking taylor expansion of k in n 1546683958.448 * [misc]backup-simplify: Simplify k into k 1546683958.448 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.448 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.448 * [misc]backup-simplify: Simplify PI into PI 1546683958.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.448 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546683958.448 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546683958.448 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546683958.449 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1546683958.449 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1546683958.449 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546683958.449 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.449 * [misc]taylor: Taking taylor expansion of k in n 1546683958.449 * [misc]backup-simplify: Simplify k into k 1546683958.449 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.449 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546683958.449 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.449 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546683958.449 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.450 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.450 * [misc]taylor: Taking taylor expansion of k in k 1546683958.450 * [misc]backup-simplify: Simplify 0 into 0 1546683958.450 * [misc]backup-simplify: Simplify 1 into 1 1546683958.450 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546683958.450 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.450 * [misc]backup-simplify: Simplify 2 into 2 1546683958.450 * [misc]taylor: Taking taylor expansion of n in k 1546683958.450 * [misc]backup-simplify: Simplify n into n 1546683958.450 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546683958.450 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546683958.450 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.451 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.451 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.451 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546683958.451 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546683958.451 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546683958.451 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546683958.451 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546683958.451 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.451 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.451 * [misc]taylor: Taking taylor expansion of k in k 1546683958.451 * [misc]backup-simplify: Simplify 0 into 0 1546683958.451 * [misc]backup-simplify: Simplify 1 into 1 1546683958.451 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.451 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.451 * [misc]backup-simplify: Simplify PI into PI 1546683958.452 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.452 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.452 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.453 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.453 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546683958.453 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683958.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.454 * [misc]taylor: Taking taylor expansion of k in k 1546683958.454 * [misc]backup-simplify: Simplify 0 into 0 1546683958.454 * [misc]backup-simplify: Simplify 1 into 1 1546683958.454 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.454 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.454 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.454 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1546683958.454 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.455 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.455 * [misc]taylor: Taking taylor expansion of k in k 1546683958.455 * [misc]backup-simplify: Simplify 0 into 0 1546683958.455 * [misc]backup-simplify: Simplify 1 into 1 1546683958.455 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546683958.455 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.455 * [misc]backup-simplify: Simplify 2 into 2 1546683958.455 * [misc]taylor: Taking taylor expansion of n in k 1546683958.455 * [misc]backup-simplify: Simplify n into n 1546683958.455 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546683958.455 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546683958.455 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.456 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.456 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.456 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546683958.456 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546683958.456 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546683958.456 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546683958.456 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546683958.456 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546683958.456 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.456 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546683958.456 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.456 * [misc]taylor: Taking taylor expansion of k in k 1546683958.456 * [misc]backup-simplify: Simplify 0 into 0 1546683958.456 * [misc]backup-simplify: Simplify 1 into 1 1546683958.456 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.456 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.456 * [misc]backup-simplify: Simplify PI into PI 1546683958.457 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.457 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546683958.457 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.457 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.458 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.458 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546683958.458 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546683958.458 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.458 * [misc]taylor: Taking taylor expansion of k in k 1546683958.458 * [misc]backup-simplify: Simplify 0 into 0 1546683958.458 * [misc]backup-simplify: Simplify 1 into 1 1546683958.459 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.459 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.459 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.460 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1546683958.460 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1546683958.460 * [misc]taylor: Taking taylor expansion of 0 in n 1546683958.460 * [misc]backup-simplify: Simplify 0 into 0 1546683958.460 * [misc]backup-simplify: Simplify 0 into 0 1546683958.462 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546683958.462 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683958.463 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.463 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.464 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546683958.466 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546683958.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546683958.466 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546683958.466 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546683958.466 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.467 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546683958.467 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1546683958.468 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1546683958.469 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1546683958.469 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546683958.469 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683958.469 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.469 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.469 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683958.469 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.469 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.469 * [misc]backup-simplify: Simplify 2 into 2 1546683958.469 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.469 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.470 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683958.470 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683958.470 * [misc]taylor: Taking taylor expansion of n in n 1546683958.470 * [misc]backup-simplify: Simplify 0 into 0 1546683958.470 * [misc]backup-simplify: Simplify 1 into 1 1546683958.470 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.470 * [misc]backup-simplify: Simplify PI into PI 1546683958.470 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683958.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683958.470 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.471 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.471 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683958.471 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.471 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.471 * [misc]backup-simplify: Simplify 0 into 0 1546683958.471 * [misc]backup-simplify: Simplify 0 into 0 1546683958.471 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546683958.472 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.474 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546683958.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.474 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.475 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.475 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546683958.478 * [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))) 1546683958.478 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546683958.479 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1546683958.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.479 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.480 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546683958.480 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1546683958.482 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1546683958.485 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1546683958.485 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.485 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.485 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.485 * [misc]backup-simplify: Simplify 2 into 2 1546683958.485 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.485 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.485 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.485 * [misc]backup-simplify: Simplify PI into PI 1546683958.486 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.486 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546683958.486 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546683958.486 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.486 * [misc]backup-simplify: Simplify PI into PI 1546683958.486 * [misc]taylor: Taking taylor expansion of n in n 1546683958.486 * [misc]backup-simplify: Simplify 0 into 0 1546683958.486 * [misc]backup-simplify: Simplify 1 into 1 1546683958.486 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546683958.486 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546683958.486 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.487 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.487 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.487 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.487 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.487 * [misc]backup-simplify: Simplify 2 into 2 1546683958.487 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.487 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.487 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683958.487 * [misc]taylor: Taking taylor expansion of n in n 1546683958.487 * [misc]backup-simplify: Simplify 0 into 0 1546683958.487 * [misc]backup-simplify: Simplify 1 into 1 1546683958.487 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.487 * [misc]backup-simplify: Simplify PI into PI 1546683958.487 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683958.488 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683958.488 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.488 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.488 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546683958.488 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546683958.488 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.488 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.488 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546683958.488 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546683958.489 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.489 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.489 * [misc]backup-simplify: Simplify 2 into 2 1546683958.489 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.489 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.489 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.489 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.489 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.489 * [misc]backup-simplify: Simplify 2 into 2 1546683958.489 * [misc]taylor: Taking taylor expansion of n in n 1546683958.489 * [misc]backup-simplify: Simplify 0 into 0 1546683958.489 * [misc]backup-simplify: Simplify 1 into 1 1546683958.489 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.489 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.489 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.489 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546683958.489 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546683958.489 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.489 * [misc]backup-simplify: Simplify PI into PI 1546683958.489 * [misc]taylor: Taking taylor expansion of n in n 1546683958.489 * [misc]backup-simplify: Simplify 0 into 0 1546683958.489 * [misc]backup-simplify: Simplify 1 into 1 1546683958.490 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546683958.490 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546683958.490 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.490 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.491 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546683958.491 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546683958.491 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.491 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683958.492 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.492 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546683958.492 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546683958.492 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.492 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.493 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.493 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.493 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.493 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.493 * [misc]backup-simplify: Simplify 0 into 0 1546683958.494 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683958.495 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683958.495 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683958.496 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683958.496 * [misc]backup-simplify: Simplify 0 into 0 1546683958.496 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.497 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683958.502 * [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 1546683958.503 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546683958.503 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.505 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1546683958.512 * [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))) 1546683958.512 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546683958.515 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1546683958.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546683958.517 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.517 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546683958.519 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1546683958.524 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1546683958.534 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1546683958.534 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1546683958.534 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1546683958.534 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546683958.534 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.534 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.534 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546683958.534 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546683958.534 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.534 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.534 * [misc]backup-simplify: Simplify 2 into 2 1546683958.535 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.535 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.535 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.535 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.535 * [misc]backup-simplify: Simplify PI into PI 1546683958.535 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.535 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546683958.535 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546683958.535 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.535 * [misc]backup-simplify: Simplify PI into PI 1546683958.535 * [misc]taylor: Taking taylor expansion of n in n 1546683958.535 * [misc]backup-simplify: Simplify 0 into 0 1546683958.535 * [misc]backup-simplify: Simplify 1 into 1 1546683958.536 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546683958.536 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546683958.536 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.537 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.537 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1546683958.537 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1546683958.537 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1546683958.537 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.537 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.537 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1546683958.537 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1546683958.537 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.537 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.537 * [misc]backup-simplify: Simplify 2 into 2 1546683958.538 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.538 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.538 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1546683958.538 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.538 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.538 * [misc]backup-simplify: Simplify PI into PI 1546683958.538 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.538 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546683958.538 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546683958.538 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.538 * [misc]backup-simplify: Simplify PI into PI 1546683958.538 * [misc]taylor: Taking taylor expansion of n in n 1546683958.538 * [misc]backup-simplify: Simplify 0 into 0 1546683958.538 * [misc]backup-simplify: Simplify 1 into 1 1546683958.539 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546683958.539 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546683958.539 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.540 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.540 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.540 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.540 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.540 * [misc]backup-simplify: Simplify 2 into 2 1546683958.540 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.540 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.540 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546683958.540 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.541 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.541 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.541 * [misc]backup-simplify: Simplify 2 into 2 1546683958.541 * [misc]taylor: Taking taylor expansion of n in n 1546683958.541 * [misc]backup-simplify: Simplify 0 into 0 1546683958.541 * [misc]backup-simplify: Simplify 1 into 1 1546683958.541 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.541 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.541 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.542 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546683958.542 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546683958.542 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.542 * [misc]backup-simplify: Simplify PI into PI 1546683958.542 * [misc]taylor: Taking taylor expansion of n in n 1546683958.542 * [misc]backup-simplify: Simplify 0 into 0 1546683958.542 * [misc]backup-simplify: Simplify 1 into 1 1546683958.542 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546683958.543 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546683958.543 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.543 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.543 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1546683958.543 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1546683958.543 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1546683958.543 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.543 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.543 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1546683958.544 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1546683958.544 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.544 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.544 * [misc]backup-simplify: Simplify 2 into 2 1546683958.544 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.544 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.544 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1546683958.544 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.544 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.544 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.544 * [misc]backup-simplify: Simplify 2 into 2 1546683958.544 * [misc]taylor: Taking taylor expansion of n in n 1546683958.544 * [misc]backup-simplify: Simplify 0 into 0 1546683958.544 * [misc]backup-simplify: Simplify 1 into 1 1546683958.544 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.545 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.545 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.545 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.545 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.545 * [misc]backup-simplify: Simplify PI into PI 1546683958.545 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.545 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683958.545 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683958.545 * [misc]taylor: Taking taylor expansion of n in n 1546683958.545 * [misc]backup-simplify: Simplify 0 into 0 1546683958.545 * [misc]backup-simplify: Simplify 1 into 1 1546683958.545 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.545 * [misc]backup-simplify: Simplify PI into PI 1546683958.546 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683958.546 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683958.546 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.547 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.547 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1546683958.547 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1546683958.547 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546683958.547 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.547 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.547 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546683958.547 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.547 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.547 * [misc]backup-simplify: Simplify 2 into 2 1546683958.547 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.547 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.547 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546683958.547 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546683958.548 * [misc]taylor: Taking taylor expansion of n in n 1546683958.548 * [misc]backup-simplify: Simplify 0 into 0 1546683958.548 * [misc]backup-simplify: Simplify 1 into 1 1546683958.548 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.548 * [misc]backup-simplify: Simplify PI into PI 1546683958.549 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546683958.549 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546683958.549 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.550 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.550 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546683958.550 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546683958.550 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.550 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.550 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546683958.550 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546683958.550 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546683958.550 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.550 * [misc]backup-simplify: Simplify 2 into 2 1546683958.550 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546683958.550 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546683958.550 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546683958.550 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546683958.551 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.551 * [misc]backup-simplify: Simplify 2 into 2 1546683958.551 * [misc]taylor: Taking taylor expansion of n in n 1546683958.551 * [misc]backup-simplify: Simplify 0 into 0 1546683958.551 * [misc]backup-simplify: Simplify 1 into 1 1546683958.551 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546683958.551 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546683958.551 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.551 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546683958.551 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546683958.551 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.551 * [misc]backup-simplify: Simplify PI into PI 1546683958.551 * [misc]taylor: Taking taylor expansion of n in n 1546683958.551 * [misc]backup-simplify: Simplify 0 into 0 1546683958.551 * [misc]backup-simplify: Simplify 1 into 1 1546683958.552 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546683958.552 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546683958.552 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.553 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546683958.554 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546683958.554 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546683958.555 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.555 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1546683958.556 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1546683958.557 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1546683958.557 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.557 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.557 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.557 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546683958.558 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546683958.558 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546683958.558 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.558 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.558 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1546683958.559 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1546683958.559 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1546683958.560 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.560 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546683958.560 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.560 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.560 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546683958.560 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.561 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.562 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.562 * [misc]backup-simplify: Simplify 0 into 0 1546683958.563 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546683958.564 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1546683958.565 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546683958.566 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546683958.567 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683958.568 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546683958.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546683958.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.570 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546683958.570 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546683958.571 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1546683958.572 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1546683958.573 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1546683958.575 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546683958.577 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1546683958.580 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1546683958.584 * [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))))))))) 1546683958.587 * [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))))))))) 1546683958.589 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546683958.590 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546683958.591 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546683958.594 * [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)))) 1546683958.598 * [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)))) 1546683958.599 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546683958.601 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546683958.610 * [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))))))))))))))) 1546683958.611 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1546683958.611 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1546683958.611 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.612 * [misc]taylor: Taking taylor expansion of k in n 1546683958.612 * [misc]backup-simplify: Simplify k into k 1546683958.612 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.612 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.612 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.612 * [misc]backup-simplify: Simplify PI into PI 1546683958.612 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.612 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.612 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.612 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.613 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546683958.613 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.613 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.613 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.613 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.613 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.613 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.613 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.613 * [misc]taylor: Taking taylor expansion of k in n 1546683958.613 * [misc]backup-simplify: Simplify k into k 1546683958.614 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.614 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.614 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.614 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.614 * [misc]backup-simplify: Simplify 2 into 2 1546683958.614 * [misc]taylor: Taking taylor expansion of n in n 1546683958.614 * [misc]backup-simplify: Simplify 0 into 0 1546683958.614 * [misc]backup-simplify: Simplify 1 into 1 1546683958.614 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.614 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.614 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.614 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.614 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.615 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.615 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.615 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546683958.615 * [misc]taylor: Taking taylor expansion of k in n 1546683958.615 * [misc]backup-simplify: Simplify k into k 1546683958.616 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546683958.616 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546683958.616 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of k in k 1546683958.616 * [misc]backup-simplify: Simplify 0 into 0 1546683958.616 * [misc]backup-simplify: Simplify 1 into 1 1546683958.616 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.616 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.616 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.616 * [misc]backup-simplify: Simplify PI into PI 1546683958.617 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.617 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.617 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.617 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.618 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546683958.618 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.618 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.618 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546683958.618 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546683958.618 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.618 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.618 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.618 * [misc]taylor: Taking taylor expansion of k in k 1546683958.618 * [misc]backup-simplify: Simplify 0 into 0 1546683958.618 * [misc]backup-simplify: Simplify 1 into 1 1546683958.619 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.619 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546683958.619 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546683958.619 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.619 * [misc]backup-simplify: Simplify 2 into 2 1546683958.619 * [misc]taylor: Taking taylor expansion of n in k 1546683958.619 * [misc]backup-simplify: Simplify n into n 1546683958.619 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546683958.619 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546683958.619 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.619 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.620 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.620 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546683958.620 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.620 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683958.620 * [misc]taylor: Taking taylor expansion of k in k 1546683958.620 * [misc]backup-simplify: Simplify 0 into 0 1546683958.620 * [misc]backup-simplify: Simplify 1 into 1 1546683958.620 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.621 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.621 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of k in k 1546683958.621 * [misc]backup-simplify: Simplify 0 into 0 1546683958.621 * [misc]backup-simplify: Simplify 1 into 1 1546683958.621 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.621 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.621 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.621 * [misc]backup-simplify: Simplify PI into PI 1546683958.622 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.622 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.622 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.622 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546683958.623 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.623 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of k in k 1546683958.623 * [misc]backup-simplify: Simplify 0 into 0 1546683958.623 * [misc]backup-simplify: Simplify 1 into 1 1546683958.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.623 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546683958.623 * [misc]taylor: Taking taylor expansion of 2 in k 1546683958.623 * [misc]backup-simplify: Simplify 2 into 2 1546683958.623 * [misc]taylor: Taking taylor expansion of n in k 1546683958.624 * [misc]backup-simplify: Simplify n into n 1546683958.624 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546683958.624 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546683958.624 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.624 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546683958.624 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546683958.624 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546683958.624 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.624 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546683958.624 * [misc]taylor: Taking taylor expansion of k in k 1546683958.624 * [misc]backup-simplify: Simplify 0 into 0 1546683958.624 * [misc]backup-simplify: Simplify 1 into 1 1546683958.625 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.625 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546683958.625 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1546683958.626 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546683958.626 * [misc]taylor: Taking taylor expansion of 0 in n 1546683958.626 * [misc]backup-simplify: Simplify 0 into 0 1546683958.626 * [misc]backup-simplify: Simplify 0 into 0 1546683958.626 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1546683958.626 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683958.626 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.627 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.627 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of k in n 1546683958.627 * [misc]backup-simplify: Simplify k into k 1546683958.627 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.627 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.627 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.627 * [misc]backup-simplify: Simplify PI into PI 1546683958.627 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.627 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.628 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.628 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.628 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546683958.628 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.628 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.628 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.628 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.628 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.629 * [misc]taylor: Taking taylor expansion of k in n 1546683958.629 * [misc]backup-simplify: Simplify k into k 1546683958.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.629 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.629 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.629 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.629 * [misc]backup-simplify: Simplify 2 into 2 1546683958.629 * [misc]taylor: Taking taylor expansion of n in n 1546683958.629 * [misc]backup-simplify: Simplify 0 into 0 1546683958.629 * [misc]backup-simplify: Simplify 1 into 1 1546683958.629 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.629 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.629 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.629 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.630 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.630 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.630 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.631 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.631 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546683958.632 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.632 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.632 * [misc]backup-simplify: Simplify 0 into 0 1546683958.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.634 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1546683958.634 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683958.635 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.635 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.635 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of k in n 1546683958.635 * [misc]backup-simplify: Simplify k into k 1546683958.635 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.635 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.635 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.635 * [misc]backup-simplify: Simplify PI into PI 1546683958.635 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.636 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.636 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.636 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.636 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546683958.636 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.636 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.636 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.637 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.637 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of k in n 1546683958.637 * [misc]backup-simplify: Simplify k into k 1546683958.637 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.637 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.637 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.637 * [misc]backup-simplify: Simplify 2 into 2 1546683958.637 * [misc]taylor: Taking taylor expansion of n in n 1546683958.637 * [misc]backup-simplify: Simplify 0 into 0 1546683958.637 * [misc]backup-simplify: Simplify 1 into 1 1546683958.637 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.637 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.637 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.638 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.638 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.638 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.639 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.639 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.639 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546683958.640 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.640 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.641 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546683958.643 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546683958.643 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.644 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.644 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.644 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.644 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546683958.646 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.648 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546683958.648 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.648 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.648 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.648 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.649 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1546683958.652 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.652 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1546683958.653 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546683958.653 * [misc]backup-simplify: Simplify (- 0) into 0 1546683958.653 * [misc]backup-simplify: Simplify 0 into 0 1546683958.653 * [misc]backup-simplify: Simplify 0 into 0 1546683958.654 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683958.655 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1546683958.655 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1546683958.656 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.656 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.656 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.656 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.656 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.656 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of k in n 1546683958.656 * [misc]backup-simplify: Simplify k into k 1546683958.656 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.656 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.656 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.656 * [misc]backup-simplify: Simplify PI into PI 1546683958.656 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.657 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.657 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.657 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.657 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546683958.658 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546683958.658 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.658 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.658 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of k in n 1546683958.658 * [misc]backup-simplify: Simplify k into k 1546683958.658 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.658 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546683958.658 * [misc]taylor: Taking taylor expansion of 2 in n 1546683958.659 * [misc]backup-simplify: Simplify 2 into 2 1546683958.659 * [misc]taylor: Taking taylor expansion of n in n 1546683958.659 * [misc]backup-simplify: Simplify 0 into 0 1546683958.659 * [misc]backup-simplify: Simplify 1 into 1 1546683958.659 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546683958.659 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546683958.659 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.659 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546683958.659 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546683958.660 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546683958.660 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1546683958.660 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1546683958.661 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546683958.661 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546683958.661 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.662 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1546683958.664 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1546683958.665 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1546683958.665 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1546683958.665 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.665 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.665 * [misc]taylor: Taking taylor expansion of k in n 1546683958.665 * [misc]backup-simplify: Simplify k into k 1546683958.665 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.665 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.666 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.666 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.666 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.666 * [misc]backup-simplify: Simplify -2 into -2 1546683958.666 * [misc]taylor: Taking taylor expansion of n in n 1546683958.666 * [misc]backup-simplify: Simplify 0 into 0 1546683958.666 * [misc]backup-simplify: Simplify 1 into 1 1546683958.666 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.666 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.666 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.666 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.667 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.667 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.667 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.667 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.667 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546683958.667 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546683958.667 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.667 * [misc]taylor: Taking taylor expansion of k in n 1546683958.667 * [misc]backup-simplify: Simplify k into k 1546683958.668 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.668 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.668 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.668 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.668 * [misc]backup-simplify: Simplify PI into PI 1546683958.668 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.668 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.668 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.669 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546683958.669 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.669 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546683958.669 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546683958.669 * [misc]taylor: Taking taylor expansion of -1 in n 1546683958.669 * [misc]backup-simplify: Simplify -1 into -1 1546683958.669 * [misc]taylor: Taking taylor expansion of k in n 1546683958.669 * [misc]backup-simplify: Simplify k into k 1546683958.669 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546683958.669 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546683958.669 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546683958.670 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546683958.670 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.670 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1546683958.671 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of k in k 1546683958.671 * [misc]backup-simplify: Simplify 0 into 0 1546683958.671 * [misc]backup-simplify: Simplify 1 into 1 1546683958.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.671 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546683958.671 * [misc]taylor: Taking taylor expansion of -2 in k 1546683958.671 * [misc]backup-simplify: Simplify -2 into -2 1546683958.671 * [misc]taylor: Taking taylor expansion of n in k 1546683958.671 * [misc]backup-simplify: Simplify n into n 1546683958.671 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546683958.671 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546683958.672 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.672 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.672 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546683958.672 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.672 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.672 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546683958.672 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546683958.672 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.672 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.672 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.672 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.672 * [misc]taylor: Taking taylor expansion of k in k 1546683958.672 * [misc]backup-simplify: Simplify 0 into 0 1546683958.672 * [misc]backup-simplify: Simplify 1 into 1 1546683958.673 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.673 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.673 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.673 * [misc]backup-simplify: Simplify PI into PI 1546683958.673 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.673 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.673 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.674 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.674 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.674 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683958.674 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683958.674 * [misc]taylor: Taking taylor expansion of -1 in k 1546683958.674 * [misc]backup-simplify: Simplify -1 into -1 1546683958.674 * [misc]taylor: Taking taylor expansion of k in k 1546683958.674 * [misc]backup-simplify: Simplify 0 into 0 1546683958.674 * [misc]backup-simplify: Simplify 1 into 1 1546683958.674 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683958.675 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.675 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683958.675 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.676 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683958.676 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.676 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of k in k 1546683958.676 * [misc]backup-simplify: Simplify 0 into 0 1546683958.676 * [misc]backup-simplify: Simplify 1 into 1 1546683958.676 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.676 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546683958.676 * [misc]taylor: Taking taylor expansion of -2 in k 1546683958.676 * [misc]backup-simplify: Simplify -2 into -2 1546683958.676 * [misc]taylor: Taking taylor expansion of n in k 1546683958.676 * [misc]backup-simplify: Simplify n into n 1546683958.677 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546683958.677 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546683958.677 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.677 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.677 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546683958.677 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.677 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546683958.677 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546683958.677 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546683958.677 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546683958.677 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546683958.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.677 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546683958.678 * [misc]taylor: Taking taylor expansion of k in k 1546683958.678 * [misc]backup-simplify: Simplify 0 into 0 1546683958.678 * [misc]backup-simplify: Simplify 1 into 1 1546683958.678 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546683958.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546683958.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.678 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546683958.678 * [misc]taylor: Taking taylor expansion of PI in k 1546683958.678 * [misc]backup-simplify: Simplify PI into PI 1546683958.678 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.678 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546683958.678 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546683958.679 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546683958.679 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.679 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546683958.679 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546683958.679 * [misc]taylor: Taking taylor expansion of -1 in k 1546683958.679 * [misc]backup-simplify: Simplify -1 into -1 1546683958.679 * [misc]taylor: Taking taylor expansion of k in k 1546683958.679 * [misc]backup-simplify: Simplify 0 into 0 1546683958.680 * [misc]backup-simplify: Simplify 1 into 1 1546683958.680 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546683958.680 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546683958.680 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546683958.681 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.681 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683958.681 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.681 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.681 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.681 * [misc]taylor: Taking taylor expansion of k in n 1546683958.681 * [misc]backup-simplify: Simplify k into k 1546683958.681 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.681 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.682 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.682 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.682 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.682 * [misc]backup-simplify: Simplify -2 into -2 1546683958.682 * [misc]taylor: Taking taylor expansion of n in n 1546683958.682 * [misc]backup-simplify: Simplify 0 into 0 1546683958.682 * [misc]backup-simplify: Simplify 1 into 1 1546683958.682 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.682 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.682 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.682 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.683 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.683 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.683 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.683 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546683958.683 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546683958.683 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.683 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.684 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.684 * [misc]taylor: Taking taylor expansion of k in n 1546683958.684 * [misc]backup-simplify: Simplify k into k 1546683958.684 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.684 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.684 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.684 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.684 * [misc]backup-simplify: Simplify PI into PI 1546683958.684 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.684 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.684 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.685 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546683958.685 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.685 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.686 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683958.686 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683958.687 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546683958.687 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546683958.688 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546683958.689 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.689 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.689 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.689 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.689 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.689 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of k in n 1546683958.689 * [misc]backup-simplify: Simplify k into k 1546683958.689 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.689 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.689 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.689 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.689 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.690 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.690 * [misc]backup-simplify: Simplify -2 into -2 1546683958.690 * [misc]taylor: Taking taylor expansion of n in n 1546683958.690 * [misc]backup-simplify: Simplify 0 into 0 1546683958.690 * [misc]backup-simplify: Simplify 1 into 1 1546683958.690 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.690 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.690 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.690 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.691 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.691 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.691 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.691 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.691 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546683958.691 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546683958.691 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.692 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.692 * [misc]taylor: Taking taylor expansion of k in n 1546683958.692 * [misc]backup-simplify: Simplify k into k 1546683958.692 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.692 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.692 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.692 * [misc]backup-simplify: Simplify PI into PI 1546683958.692 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.692 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.692 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.693 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546683958.693 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.693 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.694 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683958.694 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.695 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.698 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546683958.698 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.699 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1546683958.700 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.701 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546683958.703 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546683958.703 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546683958.703 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546683958.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546683958.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.704 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546683958.705 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546683958.706 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1546683958.706 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1546683958.706 * [misc]backup-simplify: Simplify 0 into 0 1546683958.707 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1546683958.707 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546683958.708 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546683958.710 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.710 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546683958.710 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546683958.710 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.710 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of k in n 1546683958.710 * [misc]backup-simplify: Simplify k into k 1546683958.710 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.710 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.710 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546683958.710 * [misc]taylor: Taking taylor expansion of -2 in n 1546683958.710 * [misc]backup-simplify: Simplify -2 into -2 1546683958.711 * [misc]taylor: Taking taylor expansion of n in n 1546683958.711 * [misc]backup-simplify: Simplify 0 into 0 1546683958.711 * [misc]backup-simplify: Simplify 1 into 1 1546683958.711 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546683958.711 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546683958.711 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.711 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.711 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546683958.712 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1546683958.712 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1546683958.712 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546683958.712 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546683958.712 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546683958.712 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546683958.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546683958.712 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546683958.712 * [misc]taylor: Taking taylor expansion of k in n 1546683958.712 * [misc]backup-simplify: Simplify k into k 1546683958.712 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546683958.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546683958.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546683958.713 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546683958.713 * [misc]taylor: Taking taylor expansion of PI in n 1546683958.713 * [misc]backup-simplify: Simplify PI into PI 1546683958.713 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546683958.713 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546683958.713 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546683958.713 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546683958.714 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546683958.714 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1546683958.715 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1546683958.715 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.716 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1546683958.718 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546683958.719 * * * [misc]progress: simplifying candidates 1546683958.719 * * * * [misc]progress: [ 1 / 266 ] simplifiying candidate # 1546683958.719 * * * * [misc]progress: [ 2 / 266 ] simplifiying candidate # 1546683958.719 * * * * [misc]progress: [ 3 / 266 ] simplifiying candidate # 1546683958.719 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546683958.719 * * [misc]simplify: iters left: 6 (9 enodes) 1546683958.723 * * [misc]simplify: iters left: 5 (16 enodes) 1546683958.728 * * [misc]simplify: iters left: 4 (32 enodes) 1546683958.741 * * [misc]simplify: iters left: 3 (72 enodes) 1546683958.774 * * [misc]simplify: iters left: 2 (195 enodes) 1546683958.833 * * [misc]simplify: iters left: 1 (418 enodes) 1546683959.031 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546683959.031 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1546683959.031 * * * * [misc]progress: [ 4 / 266 ] simplifiying candidate # 1546683959.031 * * * * [misc]progress: [ 5 / 266 ] simplifiying candidate # 1546683959.032 * [enter]simplify: Simplifying (* n 2) 1546683959.032 * * [misc]simplify: iters left: 2 (3 enodes) 1546683959.032 * * [misc]simplify: iters left: 1 (4 enodes) 1546683959.033 * [exit]simplify: Simplified to (* n 2) 1546683959.033 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1546683959.033 * * * * [misc]progress: [ 6 / 266 ] simplifiying candidate # 1546683959.033 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546683959.033 * * [misc]simplify: iters left: 3 (6 enodes) 1546683959.034 * * [misc]simplify: iters left: 2 (7 enodes) 1546683959.035 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546683959.035 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1546683959.035 * * * * [misc]progress: [ 7 / 266 ] simplifiying candidate # 1546683959.035 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546683959.035 * * [misc]simplify: iters left: 5 (6 enodes) 1546683959.036 * * [misc]simplify: iters left: 4 (8 enodes) 1546683959.037 * * [misc]simplify: iters left: 3 (11 enodes) 1546683959.039 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546683959.039 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1546683959.039 * * * * [misc]progress: [ 8 / 266 ] simplifiying candidate # 1546683959.039 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546683959.039 * * [misc]simplify: iters left: 5 (6 enodes) 1546683959.040 * * [misc]simplify: iters left: 4 (8 enodes) 1546683959.041 * * [misc]simplify: iters left: 3 (11 enodes) 1546683959.043 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546683959.043 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1546683959.043 * * * * [misc]progress: [ 9 / 266 ] simplifiying candidate # 1546683959.043 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546683959.043 * * [misc]simplify: iters left: 4 (5 enodes) 1546683959.044 * * [misc]simplify: iters left: 3 (7 enodes) 1546683959.045 * * [misc]simplify: iters left: 2 (10 enodes) 1546683959.046 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546683959.046 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1546683959.046 * * * * [misc]progress: [ 10 / 266 ] simplifiying candidate # 1546683959.046 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546683959.046 * * [misc]simplify: iters left: 5 (7 enodes) 1546683959.047 * * [misc]simplify: iters left: 4 (10 enodes) 1546683959.048 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546683959.049 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1546683959.049 * * * * [misc]progress: [ 11 / 266 ] simplifiying candidate # 1546683959.049 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546683959.049 * * [misc]simplify: iters left: 5 (7 enodes) 1546683959.050 * * [misc]simplify: iters left: 4 (10 enodes) 1546683959.051 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546683959.051 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1546683959.051 * * * * [misc]progress: [ 12 / 266 ] simplifiying candidate # 1546683959.052 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546683959.052 * * [misc]simplify: iters left: 5 (7 enodes) 1546683959.054 * * [misc]simplify: iters left: 4 (9 enodes) 1546683959.056 * * [misc]simplify: iters left: 3 (12 enodes) 1546683959.062 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546683959.062 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1546683959.062 * * * * [misc]progress: [ 13 / 266 ] simplifiying candidate # 1546683959.062 * * * * [misc]progress: [ 14 / 266 ] simplifiying candidate # 1546683959.062 * * * * [misc]progress: [ 15 / 266 ] simplifiying candidate # 1546683959.062 * * * * [misc]progress: [ 16 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 17 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 18 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 19 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 20 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 21 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 22 / 266 ] simplifiying candidate # 1546683959.063 * * * * [misc]progress: [ 23 / 266 ] simplifiying candidate # 1546683959.063 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546683959.063 * * [misc]simplify: iters left: 3 (5 enodes) 1546683959.065 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546683959.065 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683959.065 * * * * [misc]progress: [ 24 / 266 ] simplifiying candidate # 1546683959.065 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546683959.065 * * [misc]simplify: iters left: 5 (6 enodes) 1546683959.067 * * [misc]simplify: iters left: 4 (8 enodes) 1546683959.069 * * [misc]simplify: iters left: 3 (11 enodes) 1546683959.072 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546683959.072 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683959.072 * * * * [misc]progress: [ 25 / 266 ] simplifiying candidate # 1546683959.073 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546683959.073 * * [misc]simplify: iters left: 5 (6 enodes) 1546683959.074 * * [misc]simplify: iters left: 4 (8 enodes) 1546683959.077 * * [misc]simplify: iters left: 3 (11 enodes) 1546683959.080 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546683959.080 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683959.080 * * * * [misc]progress: [ 26 / 266 ] simplifiying candidate # 1546683959.080 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546683959.080 * * [misc]simplify: iters left: 4 (5 enodes) 1546683959.082 * * [misc]simplify: iters left: 3 (7 enodes) 1546683959.084 * * [misc]simplify: iters left: 2 (10 enodes) 1546683959.087 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546683959.087 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683959.087 * * * * [misc]progress: [ 27 / 266 ] simplifiying candidate # 1546683959.087 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546683959.087 * * [misc]simplify: iters left: 5 (6 enodes) 1546683959.089 * * [misc]simplify: iters left: 4 (8 enodes) 1546683959.091 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546683959.091 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683959.091 * * * * [misc]progress: [ 28 / 266 ] simplifiying candidate # 1546683959.092 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546683959.092 * * [misc]simplify: iters left: 5 (6 enodes) 1546683959.094 * * [misc]simplify: iters left: 4 (8 enodes) 1546683959.096 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546683959.096 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683959.096 * * * * [misc]progress: [ 29 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 30 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 31 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 32 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 33 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 34 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 35 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 36 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 37 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 38 / 266 ] simplifiying candidate # 1546683959.097 * * * * [misc]progress: [ 39 / 266 ] simplifiying candidate # 1546683959.097 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546683959.098 * * [misc]simplify: iters left: 6 (12 enodes) 1546683959.102 * * [misc]simplify: iters left: 5 (21 enodes) 1546683959.109 * * [misc]simplify: iters left: 4 (44 enodes) 1546683959.127 * * [misc]simplify: iters left: 3 (133 enodes) 1546683959.192 * * [misc]simplify: iters left: 2 (379 enodes) 1546683959.404 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1546683959.404 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1546683959.404 * * * * [misc]progress: [ 40 / 266 ] simplifiying candidate # 1546683959.404 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546683959.405 * * [misc]simplify: iters left: 6 (12 enodes) 1546683959.409 * * [misc]simplify: iters left: 5 (21 enodes) 1546683959.416 * * [misc]simplify: iters left: 4 (44 enodes) 1546683959.431 * * [misc]simplify: iters left: 3 (133 enodes) 1546683959.473 * * [misc]simplify: iters left: 2 (379 enodes) 1546683959.642 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1546683959.642 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1546683959.642 * * * * [misc]progress: [ 41 / 266 ] simplifiying candidate # 1546683959.642 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1546683959.642 * * [misc]simplify: iters left: 6 (12 enodes) 1546683959.646 * * [misc]simplify: iters left: 5 (19 enodes) 1546683959.652 * * [misc]simplify: iters left: 4 (32 enodes) 1546683959.662 * * [misc]simplify: iters left: 3 (69 enodes) 1546683959.693 * * [misc]simplify: iters left: 2 (208 enodes) 1546683959.796 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1546683959.797 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1546683959.797 * * * * [misc]progress: [ 42 / 266 ] simplifiying candidate # 1546683959.797 * * * * [misc]progress: [ 43 / 266 ] simplifiying candidate # 1546683959.797 * * * * [misc]progress: [ 44 / 266 ] simplifiying candidate # 1546683959.797 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683959.797 * * [misc]simplify: iters left: 6 (14 enodes) 1546683959.803 * * [misc]simplify: iters left: 5 (26 enodes) 1546683959.809 * * [misc]simplify: iters left: 4 (58 enodes) 1546683959.820 * * [misc]simplify: iters left: 3 (117 enodes) 1546683959.856 * * [misc]simplify: iters left: 2 (193 enodes) 1546683959.908 * * [misc]simplify: iters left: 1 (263 enodes) 1546683960.032 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.033 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.033 * * * * [misc]progress: [ 45 / 266 ] simplifiying candidate # 1546683960.033 * * * * [misc]progress: [ 46 / 266 ] simplifiying candidate # 1546683960.033 * * * * [misc]progress: [ 47 / 266 ] simplifiying candidate # 1546683960.033 * * * * [misc]progress: [ 48 / 266 ] simplifiying candidate # 1546683960.033 * * * * [misc]progress: [ 49 / 266 ] simplifiying candidate # 1546683960.033 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546683960.033 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.036 * * [misc]simplify: iters left: 5 (14 enodes) 1546683960.040 * * [misc]simplify: iters left: 4 (16 enodes) 1546683960.045 * * [misc]simplify: iters left: 3 (17 enodes) 1546683960.049 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546683960.049 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683960.050 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683960.050 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.053 * * [misc]simplify: iters left: 5 (13 enodes) 1546683960.057 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683960.057 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546683960.057 * * * * [misc]progress: [ 50 / 266 ] simplifiying candidate # 1546683960.057 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546683960.057 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.060 * * [misc]simplify: iters left: 5 (14 enodes) 1546683960.064 * * [misc]simplify: iters left: 4 (16 enodes) 1546683960.068 * * [misc]simplify: iters left: 3 (17 enodes) 1546683960.073 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546683960.073 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683960.074 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683960.074 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.076 * * [misc]simplify: iters left: 5 (13 enodes) 1546683960.078 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683960.078 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546683960.078 * * * * [misc]progress: [ 51 / 266 ] simplifiying candidate # 1546683960.078 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546683960.078 * * [misc]simplify: iters left: 6 (11 enodes) 1546683960.080 * * [misc]simplify: iters left: 5 (15 enodes) 1546683960.082 * * [misc]simplify: iters left: 4 (20 enodes) 1546683960.084 * * [misc]simplify: iters left: 3 (21 enodes) 1546683960.088 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546683960.088 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683960.088 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683960.088 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.089 * * [misc]simplify: iters left: 5 (11 enodes) 1546683960.091 * * [misc]simplify: iters left: 4 (14 enodes) 1546683960.093 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683960.093 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683960.093 * * * * [misc]progress: [ 52 / 266 ] simplifiying candidate # 1546683960.093 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.093 * * [misc]simplify: iters left: 6 (14 enodes) 1546683960.095 * * [misc]simplify: iters left: 5 (23 enodes) 1546683960.101 * * [misc]simplify: iters left: 4 (35 enodes) 1546683960.111 * * [misc]simplify: iters left: 3 (38 enodes) 1546683960.116 * * [misc]simplify: iters left: 2 (41 enodes) 1546683960.121 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.121 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.121 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.121 * * [misc]simplify: iters left: 6 (12 enodes) 1546683960.123 * * [misc]simplify: iters left: 5 (15 enodes) 1546683960.125 * * [misc]simplify: iters left: 4 (18 enodes) 1546683960.128 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.128 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.128 * * * * [misc]progress: [ 53 / 266 ] simplifiying candidate # 1546683960.129 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.129 * * [misc]simplify: iters left: 6 (13 enodes) 1546683960.130 * * [misc]simplify: iters left: 5 (18 enodes) 1546683960.133 * * [misc]simplify: iters left: 4 (23 enodes) 1546683960.136 * * [misc]simplify: iters left: 3 (24 enodes) 1546683960.139 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.140 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.140 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.140 * * [misc]simplify: iters left: 6 (12 enodes) 1546683960.144 * * [misc]simplify: iters left: 5 (15 enodes) 1546683960.148 * * [misc]simplify: iters left: 4 (18 enodes) 1546683960.153 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.153 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.153 * * * * [misc]progress: [ 54 / 266 ] simplifiying candidate # 1546683960.153 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546683960.154 * * [misc]simplify: iters left: 6 (6 enodes) 1546683960.155 * * [misc]simplify: iters left: 5 (10 enodes) 1546683960.159 * * [misc]simplify: iters left: 4 (16 enodes) 1546683960.162 * * [misc]simplify: iters left: 3 (18 enodes) 1546683960.166 * * [misc]simplify: iters left: 2 (23 enodes) 1546683960.169 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546683960.169 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.170 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.170 * * [misc]simplify: iters left: 6 (11 enodes) 1546683960.171 * * [misc]simplify: iters left: 5 (14 enodes) 1546683960.173 * * [misc]simplify: iters left: 4 (17 enodes) 1546683960.176 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.176 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.176 * * * * [misc]progress: [ 55 / 266 ] simplifiying candidate # 1546683960.176 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546683960.176 * * [misc]simplify: iters left: 5 (9 enodes) 1546683960.177 * * [misc]simplify: iters left: 4 (11 enodes) 1546683960.179 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546683960.179 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683960.179 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683960.179 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.180 * * [misc]simplify: iters left: 5 (13 enodes) 1546683960.182 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683960.182 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546683960.182 * * * * [misc]progress: [ 56 / 266 ] simplifiying candidate # 1546683960.182 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546683960.182 * * [misc]simplify: iters left: 5 (9 enodes) 1546683960.184 * * [misc]simplify: iters left: 4 (11 enodes) 1546683960.185 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546683960.185 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683960.185 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683960.185 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.187 * * [misc]simplify: iters left: 5 (13 enodes) 1546683960.189 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683960.189 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546683960.189 * * * * [misc]progress: [ 57 / 266 ] simplifiying candidate # 1546683960.189 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546683960.189 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.190 * * [misc]simplify: iters left: 5 (12 enodes) 1546683960.192 * * [misc]simplify: iters left: 4 (15 enodes) 1546683960.194 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546683960.194 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683960.195 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683960.195 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.196 * * [misc]simplify: iters left: 5 (11 enodes) 1546683960.197 * * [misc]simplify: iters left: 4 (14 enodes) 1546683960.199 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683960.199 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683960.200 * * * * [misc]progress: [ 58 / 266 ] simplifiying candidate # 1546683960.200 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.200 * * [misc]simplify: iters left: 6 (13 enodes) 1546683960.202 * * [misc]simplify: iters left: 5 (18 enodes) 1546683960.204 * * [misc]simplify: iters left: 4 (21 enodes) 1546683960.207 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.207 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.207 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.207 * * [misc]simplify: iters left: 6 (12 enodes) 1546683960.211 * * [misc]simplify: iters left: 5 (15 enodes) 1546683960.215 * * [misc]simplify: iters left: 4 (18 enodes) 1546683960.220 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.220 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.221 * * * * [misc]progress: [ 59 / 266 ] simplifiying candidate # 1546683960.221 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.221 * * [misc]simplify: iters left: 6 (12 enodes) 1546683960.226 * * [misc]simplify: iters left: 5 (15 enodes) 1546683960.230 * * [misc]simplify: iters left: 4 (18 enodes) 1546683960.235 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.235 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.235 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.235 * * [misc]simplify: iters left: 6 (12 enodes) 1546683960.239 * * [misc]simplify: iters left: 5 (15 enodes) 1546683960.243 * * [misc]simplify: iters left: 4 (18 enodes) 1546683960.248 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.248 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.248 * * * * [misc]progress: [ 60 / 266 ] simplifiying candidate # 1546683960.248 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546683960.249 * * [misc]simplify: iters left: 4 (5 enodes) 1546683960.250 * * [misc]simplify: iters left: 3 (7 enodes) 1546683960.252 * * [misc]simplify: iters left: 2 (9 enodes) 1546683960.254 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546683960.254 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.254 * * [misc]simplify: iters left: 6 (11 enodes) 1546683960.258 * * [misc]simplify: iters left: 5 (14 enodes) 1546683960.261 * * [misc]simplify: iters left: 4 (17 enodes) 1546683960.266 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.266 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.266 * * * * [misc]progress: [ 61 / 266 ] simplifiying candidate # 1546683960.266 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546683960.267 * * [misc]simplify: iters left: 5 (7 enodes) 1546683960.269 * * [misc]simplify: iters left: 4 (11 enodes) 1546683960.271 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546683960.271 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683960.272 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546683960.272 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.274 * * [misc]simplify: iters left: 5 (12 enodes) 1546683960.278 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546683960.278 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1546683960.278 * * * * [misc]progress: [ 62 / 266 ] simplifiying candidate # 1546683960.278 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546683960.278 * * [misc]simplify: iters left: 5 (7 enodes) 1546683960.281 * * [misc]simplify: iters left: 4 (11 enodes) 1546683960.283 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546683960.284 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683960.284 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546683960.284 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.287 * * [misc]simplify: iters left: 5 (12 enodes) 1546683960.290 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546683960.290 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1546683960.290 * * * * [misc]progress: [ 63 / 266 ] simplifiying candidate # 1546683960.290 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1546683960.291 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.293 * * [misc]simplify: iters left: 5 (13 enodes) 1546683960.296 * * [misc]simplify: iters left: 4 (16 enodes) 1546683960.298 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1546683960.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683960.298 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546683960.298 * * [misc]simplify: iters left: 6 (8 enodes) 1546683960.300 * * [misc]simplify: iters left: 5 (10 enodes) 1546683960.301 * * [misc]simplify: iters left: 4 (13 enodes) 1546683960.303 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546683960.303 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683960.303 * * * * [misc]progress: [ 64 / 266 ] simplifiying candidate # 1546683960.303 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.303 * * [misc]simplify: iters left: 6 (12 enodes) 1546683960.305 * * [misc]simplify: iters left: 5 (19 enodes) 1546683960.307 * * [misc]simplify: iters left: 4 (22 enodes) 1546683960.310 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683960.310 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.311 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.311 * * [misc]simplify: iters left: 6 (11 enodes) 1546683960.312 * * [misc]simplify: iters left: 5 (14 enodes) 1546683960.314 * * [misc]simplify: iters left: 4 (17 enodes) 1546683960.316 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.316 * * * * [misc]progress: [ 65 / 266 ] simplifiying candidate # 1546683960.317 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.317 * * [misc]simplify: iters left: 6 (11 enodes) 1546683960.318 * * [misc]simplify: iters left: 5 (16 enodes) 1546683960.320 * * [misc]simplify: iters left: 4 (19 enodes) 1546683960.323 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683960.323 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.323 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.323 * * [misc]simplify: iters left: 6 (11 enodes) 1546683960.325 * * [misc]simplify: iters left: 5 (14 enodes) 1546683960.326 * * [misc]simplify: iters left: 4 (17 enodes) 1546683960.329 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683960.329 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683960.329 * * * * [misc]progress: [ 66 / 266 ] simplifiying candidate # 1546683960.329 * [enter]simplify: Simplifying (/ 1 1) 1546683960.329 * * [misc]simplify: iters left: 2 (2 enodes) 1546683960.329 * * [misc]simplify: iters left: 1 (4 enodes) 1546683960.330 * [exit]simplify: Simplified to 1 1546683960.330 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.330 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.330 * * [misc]simplify: iters left: 6 (10 enodes) 1546683960.331 * * [misc]simplify: iters left: 5 (13 enodes) 1546683960.333 * * [misc]simplify: iters left: 4 (16 enodes) 1546683960.336 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.336 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.336 * * * * [misc]progress: [ 67 / 266 ] simplifiying candidate # 1546683960.336 * * * * [misc]progress: [ 68 / 266 ] simplifiying candidate # 1546683960.336 * * * * [misc]progress: [ 69 / 266 ] simplifiying candidate # 1546683960.336 * * * * [misc]progress: [ 70 / 266 ] simplifiying candidate # 1546683960.336 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546683960.336 * * [misc]simplify: iters left: 5 (7 enodes) 1546683960.337 * * [misc]simplify: iters left: 4 (10 enodes) 1546683960.339 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546683960.339 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1546683960.339 * * * * [misc]progress: [ 71 / 266 ] simplifiying candidate # 1546683960.339 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546683960.339 * * [misc]simplify: iters left: 5 (7 enodes) 1546683960.340 * * [misc]simplify: iters left: 4 (10 enodes) 1546683960.341 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546683960.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1546683960.341 * * * * [misc]progress: [ 72 / 266 ] simplifiying candidate # 1546683960.342 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546683960.342 * * [misc]simplify: iters left: 5 (6 enodes) 1546683960.343 * * [misc]simplify: iters left: 4 (8 enodes) 1546683960.344 * * [misc]simplify: iters left: 3 (11 enodes) 1546683960.347 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546683960.347 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1546683960.347 * * * * [misc]progress: [ 73 / 266 ] simplifiying candidate # 1546683960.348 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.348 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.350 * * [misc]simplify: iters left: 5 (12 enodes) 1546683960.354 * * [misc]simplify: iters left: 4 (15 enodes) 1546683960.358 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.359 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.359 * * * * [misc]progress: [ 74 / 266 ] simplifiying candidate # 1546683960.359 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.359 * * [misc]simplify: iters left: 6 (9 enodes) 1546683960.362 * * [misc]simplify: iters left: 5 (12 enodes) 1546683960.365 * * [misc]simplify: iters left: 4 (15 enodes) 1546683960.370 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546683960.370 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683960.370 * * * * [misc]progress: [ 75 / 266 ] simplifiying candidate # 1546683960.370 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546683960.370 * * [misc]simplify: iters left: 5 (8 enodes) 1546683960.373 * * [misc]simplify: iters left: 4 (11 enodes) 1546683960.376 * * [misc]simplify: iters left: 3 (14 enodes) 1546683960.380 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546683960.380 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.380 * * * * [misc]progress: [ 76 / 266 ] simplifiying candidate # 1546683960.380 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546683960.380 * * [misc]simplify: iters left: 4 (4 enodes) 1546683960.381 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546683960.381 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683960.382 * * * * [misc]progress: [ 77 / 266 ] simplifiying candidate # 1546683960.382 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546683960.382 * * [misc]simplify: iters left: 2 (3 enodes) 1546683960.383 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546683960.383 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683960.383 * * * * [misc]progress: [ 78 / 266 ] simplifiying candidate # 1546683960.383 * * * * [misc]progress: [ 79 / 266 ] simplifiying candidate # 1546683960.383 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546683960.383 * * [misc]simplify: iters left: 3 (6 enodes) 1546683960.385 * * [misc]simplify: iters left: 2 (7 enodes) 1546683960.387 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546683960.387 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1546683960.387 * * * * [misc]progress: [ 80 / 266 ] simplifiying candidate # 1546683960.387 * * * * [misc]progress: [ 81 / 266 ] simplifiying candidate # 1546683960.387 * * * * [misc]progress: [ 82 / 266 ] simplifiying candidate # 1546683960.387 * * * * [misc]progress: [ 83 / 266 ] simplifiying candidate # 1546683960.388 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683960.388 * * [misc]simplify: iters left: 6 (18 enodes) 1546683960.394 * * [misc]simplify: iters left: 5 (36 enodes) 1546683960.407 * * [misc]simplify: iters left: 4 (94 enodes) 1546683960.455 * * [misc]simplify: iters left: 3 (325 enodes) 1546683960.635 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546683960.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1546683960.635 * * * * [misc]progress: [ 84 / 266 ] simplifiying candidate # 1546683960.635 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683960.635 * * [misc]simplify: iters left: 6 (18 enodes) 1546683960.638 * * [misc]simplify: iters left: 5 (36 enodes) 1546683960.646 * * [misc]simplify: iters left: 4 (94 enodes) 1546683960.698 * * [misc]simplify: iters left: 3 (325 enodes) 1546683960.882 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546683960.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1546683960.882 * * * * [misc]progress: [ 85 / 266 ] simplifiying candidate # 1546683960.882 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683960.882 * * [misc]simplify: iters left: 6 (18 enodes) 1546683960.887 * * [misc]simplify: iters left: 5 (34 enodes) 1546683960.904 * * [misc]simplify: iters left: 4 (82 enodes) 1546683960.941 * * [misc]simplify: iters left: 3 (239 enodes) 1546683961.069 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1546683961.069 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1546683961.069 * * * * [misc]progress: [ 86 / 266 ] simplifiying candidate # 1546683961.070 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683961.070 * * [misc]simplify: iters left: 6 (17 enodes) 1546683961.075 * * [misc]simplify: iters left: 5 (30 enodes) 1546683961.086 * * [misc]simplify: iters left: 4 (67 enodes) 1546683961.115 * * [misc]simplify: iters left: 3 (188 enodes) 1546683961.184 * * [misc]simplify: iters left: 2 (366 enodes) 1546683961.340 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))) 1546683961.341 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))))) 1546683961.341 * * * * [misc]progress: [ 87 / 266 ] simplifiying candidate # 1546683961.341 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683961.341 * * [misc]simplify: iters left: 6 (18 enodes) 1546683961.344 * * [misc]simplify: iters left: 5 (33 enodes) 1546683961.350 * * [misc]simplify: iters left: 4 (70 enodes) 1546683961.366 * * [misc]simplify: iters left: 3 (220 enodes) 1546683961.502 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546683961.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1546683961.502 * * * * [misc]progress: [ 88 / 266 ] simplifiying candidate # 1546683961.502 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683961.502 * * [misc]simplify: iters left: 6 (18 enodes) 1546683961.506 * * [misc]simplify: iters left: 5 (33 enodes) 1546683961.514 * * [misc]simplify: iters left: 4 (70 enodes) 1546683961.544 * * [misc]simplify: iters left: 3 (220 enodes) 1546683961.696 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1546683961.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1546683961.696 * * * * [misc]progress: [ 89 / 266 ] simplifiying candidate # 1546683961.697 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683961.697 * * [misc]simplify: iters left: 6 (18 enodes) 1546683961.699 * * [misc]simplify: iters left: 5 (31 enodes) 1546683961.704 * * [misc]simplify: iters left: 4 (58 enodes) 1546683961.714 * * [misc]simplify: iters left: 3 (137 enodes) 1546683961.808 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1546683961.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1546683961.808 * * * * [misc]progress: [ 90 / 266 ] simplifiying candidate # 1546683961.808 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683961.808 * * [misc]simplify: iters left: 6 (17 enodes) 1546683961.811 * * [misc]simplify: iters left: 5 (27 enodes) 1546683961.815 * * [misc]simplify: iters left: 4 (43 enodes) 1546683961.828 * * [misc]simplify: iters left: 3 (87 enodes) 1546683961.867 * * [misc]simplify: iters left: 2 (236 enodes) 1546683961.993 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546683961.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1546683961.993 * * * * [misc]progress: [ 91 / 266 ] simplifiying candidate # 1546683961.993 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683961.993 * * [misc]simplify: iters left: 6 (19 enodes) 1546683962.000 * * [misc]simplify: iters left: 5 (38 enodes) 1546683962.012 * * [misc]simplify: iters left: 4 (77 enodes) 1546683962.039 * * [misc]simplify: iters left: 3 (214 enodes) 1546683962.147 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546683962.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1546683962.147 * * * * [misc]progress: [ 92 / 266 ] simplifiying candidate # 1546683962.147 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683962.148 * * [misc]simplify: iters left: 6 (19 enodes) 1546683962.155 * * [misc]simplify: iters left: 5 (38 enodes) 1546683962.166 * * [misc]simplify: iters left: 4 (77 enodes) 1546683962.197 * * [misc]simplify: iters left: 3 (214 enodes) 1546683962.322 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546683962.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1546683962.322 * * * * [misc]progress: [ 93 / 266 ] simplifiying candidate # 1546683962.322 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683962.322 * * [misc]simplify: iters left: 6 (19 enodes) 1546683962.326 * * [misc]simplify: iters left: 5 (36 enodes) 1546683962.331 * * [misc]simplify: iters left: 4 (65 enodes) 1546683962.345 * * [misc]simplify: iters left: 3 (131 enodes) 1546683962.422 * * [misc]simplify: iters left: 2 (494 enodes) 1546683962.932 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1546683962.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1546683962.933 * * * * [misc]progress: [ 94 / 266 ] simplifiying candidate # 1546683962.933 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683962.933 * * [misc]simplify: iters left: 6 (18 enodes) 1546683962.939 * * [misc]simplify: iters left: 5 (32 enodes) 1546683962.944 * * [misc]simplify: iters left: 4 (47 enodes) 1546683962.950 * * [misc]simplify: iters left: 3 (75 enodes) 1546683962.971 * * [misc]simplify: iters left: 2 (166 enodes) 1546683963.110 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))) 1546683963.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1546683963.110 * * * * [misc]progress: [ 95 / 266 ] simplifiying candidate # 1546683963.110 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683963.110 * * [misc]simplify: iters left: 6 (19 enodes) 1546683963.118 * * [misc]simplify: iters left: 5 (40 enodes) 1546683963.130 * * [misc]simplify: iters left: 4 (82 enodes) 1546683963.168 * * [misc]simplify: iters left: 3 (222 enodes) 1546683963.310 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1546683963.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1546683963.310 * * * * [misc]progress: [ 96 / 266 ] simplifiying candidate # 1546683963.311 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546683963.311 * * [misc]simplify: iters left: 6 (19 enodes) 1546683963.315 * * [misc]simplify: iters left: 5 (40 enodes) 1546683963.321 * * [misc]simplify: iters left: 4 (82 enodes) 1546683963.343 * * [misc]simplify: iters left: 3 (222 enodes) 1546683963.495 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1546683963.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1546683963.495 * * * * [misc]progress: [ 97 / 266 ] simplifiying candidate # 1546683963.495 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683963.495 * * [misc]simplify: iters left: 6 (19 enodes) 1546683963.502 * * [misc]simplify: iters left: 5 (38 enodes) 1546683963.514 * * [misc]simplify: iters left: 4 (70 enodes) 1546683963.536 * * [misc]simplify: iters left: 3 (139 enodes) 1546683963.597 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1546683963.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1546683963.597 * * * * [misc]progress: [ 98 / 266 ] simplifiying candidate # 1546683963.597 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683963.597 * * [misc]simplify: iters left: 6 (18 enodes) 1546683963.600 * * [misc]simplify: iters left: 5 (34 enodes) 1546683963.607 * * [misc]simplify: iters left: 4 (56 enodes) 1546683963.616 * * [misc]simplify: iters left: 3 (85 enodes) 1546683963.638 * * [misc]simplify: iters left: 2 (195 enodes) 1546683963.785 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))) 1546683963.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))))) 1546683963.785 * * * * [misc]progress: [ 99 / 266 ] simplifiying candidate # 1546683963.785 * * * * [misc]progress: [ 100 / 266 ] simplifiying candidate # 1546683963.785 * * * * [misc]progress: [ 101 / 266 ] simplifiying candidate # 1546683963.785 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683963.785 * * [misc]simplify: iters left: 6 (22 enodes) 1546683963.789 * * [misc]simplify: iters left: 5 (49 enodes) 1546683963.802 * * [misc]simplify: iters left: 4 (146 enodes) 1546683963.859 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683963.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683963.859 * * * * [misc]progress: [ 102 / 266 ] simplifiying candidate # 1546683963.859 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683963.859 * * [misc]simplify: iters left: 6 (20 enodes) 1546683963.863 * * [misc]simplify: iters left: 5 (48 enodes) 1546683963.880 * * [misc]simplify: iters left: 4 (131 enodes) 1546683963.948 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683963.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683963.948 * * * * [misc]progress: [ 103 / 266 ] simplifiying candidate # 1546683963.948 * * * * [misc]progress: [ 104 / 266 ] simplifiying candidate # 1546683963.948 * * * * [misc]progress: [ 105 / 266 ] simplifiying candidate # 1546683963.948 * * * * [misc]progress: [ 106 / 266 ] simplifiying candidate # 1546683963.949 * * * * [misc]progress: [ 107 / 266 ] simplifiying candidate # 1546683963.949 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683963.949 * * [misc]simplify: iters left: 6 (20 enodes) 1546683963.956 * * [misc]simplify: iters left: 5 (33 enodes) 1546683963.966 * * [misc]simplify: iters left: 4 (46 enodes) 1546683963.983 * * [misc]simplify: iters left: 3 (53 enodes) 1546683963.991 * * [misc]simplify: iters left: 2 (56 enodes) 1546683963.998 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683963.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683963.999 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683963.999 * * [misc]simplify: iters left: 6 (18 enodes) 1546683964.002 * * [misc]simplify: iters left: 5 (25 enodes) 1546683964.005 * * [misc]simplify: iters left: 4 (29 enodes) 1546683964.009 * * [misc]simplify: iters left: 3 (33 enodes) 1546683964.013 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683964.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683964.013 * * * * [misc]progress: [ 108 / 266 ] simplifiying candidate # 1546683964.013 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683964.013 * * [misc]simplify: iters left: 6 (19 enodes) 1546683964.017 * * [misc]simplify: iters left: 5 (28 enodes) 1546683964.020 * * [misc]simplify: iters left: 4 (34 enodes) 1546683964.027 * * [misc]simplify: iters left: 3 (39 enodes) 1546683964.036 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683964.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683964.037 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683964.037 * * [misc]simplify: iters left: 6 (18 enodes) 1546683964.043 * * [misc]simplify: iters left: 5 (25 enodes) 1546683964.050 * * [misc]simplify: iters left: 4 (29 enodes) 1546683964.058 * * [misc]simplify: iters left: 3 (33 enodes) 1546683964.066 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683964.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683964.066 * * * * [misc]progress: [ 109 / 266 ] simplifiying candidate # 1546683964.066 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683964.066 * * [misc]simplify: iters left: 6 (20 enodes) 1546683964.073 * * [misc]simplify: iters left: 5 (34 enodes) 1546683964.077 * * [misc]simplify: iters left: 4 (53 enodes) 1546683964.087 * * [misc]simplify: iters left: 3 (98 enodes) 1546683964.116 * * [misc]simplify: iters left: 2 (155 enodes) 1546683964.170 * * [misc]simplify: iters left: 1 (186 enodes) 1546683964.228 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683964.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683964.229 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683964.229 * * [misc]simplify: iters left: 6 (19 enodes) 1546683964.232 * * [misc]simplify: iters left: 5 (29 enodes) 1546683964.236 * * [misc]simplify: iters left: 4 (34 enodes) 1546683964.241 * * [misc]simplify: iters left: 3 (40 enodes) 1546683964.245 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683964.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683964.246 * * * * [misc]progress: [ 110 / 266 ] simplifiying candidate # 1546683964.246 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683964.246 * * [misc]simplify: iters left: 6 (20 enodes) 1546683964.249 * * [misc]simplify: iters left: 5 (34 enodes) 1546683964.254 * * [misc]simplify: iters left: 4 (53 enodes) 1546683964.263 * * [misc]simplify: iters left: 3 (98 enodes) 1546683964.280 * * [misc]simplify: iters left: 2 (155 enodes) 1546683964.314 * * [misc]simplify: iters left: 1 (186 enodes) 1546683964.350 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683964.350 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683964.350 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683964.351 * * [misc]simplify: iters left: 6 (19 enodes) 1546683964.354 * * [misc]simplify: iters left: 5 (29 enodes) 1546683964.359 * * [misc]simplify: iters left: 4 (34 enodes) 1546683964.363 * * [misc]simplify: iters left: 3 (40 enodes) 1546683964.368 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683964.368 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683964.369 * * * * [misc]progress: [ 111 / 266 ] simplifiying candidate # 1546683964.369 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546683964.369 * * [misc]simplify: iters left: 6 (19 enodes) 1546683964.372 * * [misc]simplify: iters left: 5 (31 enodes) 1546683964.376 * * [misc]simplify: iters left: 4 (50 enodes) 1546683964.385 * * [misc]simplify: iters left: 3 (95 enodes) 1546683964.417 * * [misc]simplify: iters left: 2 (150 enodes) 1546683964.448 * * [misc]simplify: iters left: 1 (181 enodes) 1546683964.478 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683964.478 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683964.478 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683964.478 * * [misc]simplify: iters left: 6 (16 enodes) 1546683964.481 * * [misc]simplify: iters left: 5 (24 enodes) 1546683964.484 * * [misc]simplify: iters left: 4 (31 enodes) 1546683964.489 * * [misc]simplify: iters left: 3 (37 enodes) 1546683964.493 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683964.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683964.493 * * * * [misc]progress: [ 112 / 266 ] simplifiying candidate # 1546683964.493 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683964.493 * * [misc]simplify: iters left: 6 (22 enodes) 1546683964.497 * * [misc]simplify: iters left: 5 (39 enodes) 1546683964.503 * * [misc]simplify: iters left: 4 (74 enodes) 1546683964.517 * * [misc]simplify: iters left: 3 (149 enodes) 1546683964.562 * * [misc]simplify: iters left: 2 (277 enodes) 1546683964.645 * * [misc]simplify: iters left: 1 (387 enodes) 1546683964.771 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1546683964.771 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683964.771 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683964.771 * * [misc]simplify: iters left: 6 (19 enodes) 1546683964.774 * * [misc]simplify: iters left: 5 (28 enodes) 1546683964.778 * * [misc]simplify: iters left: 4 (35 enodes) 1546683964.783 * * [misc]simplify: iters left: 3 (41 enodes) 1546683964.788 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546683964.788 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1546683964.788 * * * * [misc]progress: [ 113 / 266 ] simplifiying candidate # 1546683964.788 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683964.788 * * [misc]simplify: iters left: 6 (21 enodes) 1546683964.792 * * [misc]simplify: iters left: 5 (34 enodes) 1546683964.797 * * [misc]simplify: iters left: 4 (53 enodes) 1546683964.806 * * [misc]simplify: iters left: 3 (98 enodes) 1546683964.821 * * [misc]simplify: iters left: 2 (151 enodes) 1546683964.871 * * [misc]simplify: iters left: 1 (184 enodes) 1546683964.921 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683964.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683964.922 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683964.922 * * [misc]simplify: iters left: 6 (19 enodes) 1546683964.925 * * [misc]simplify: iters left: 5 (28 enodes) 1546683964.928 * * [misc]simplify: iters left: 4 (35 enodes) 1546683964.933 * * [misc]simplify: iters left: 3 (41 enodes) 1546683964.938 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546683964.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1546683964.938 * * * * [misc]progress: [ 114 / 266 ] simplifiying candidate # 1546683964.938 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546683964.939 * * [misc]simplify: iters left: 6 (17 enodes) 1546683964.942 * * [misc]simplify: iters left: 5 (29 enodes) 1546683964.948 * * [misc]simplify: iters left: 4 (51 enodes) 1546683964.955 * * [misc]simplify: iters left: 3 (95 enodes) 1546683964.984 * * [misc]simplify: iters left: 2 (277 enodes) 1546683965.088 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546683965.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683965.089 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683965.089 * * [misc]simplify: iters left: 6 (18 enodes) 1546683965.098 * * [misc]simplify: iters left: 5 (27 enodes) 1546683965.106 * * [misc]simplify: iters left: 4 (34 enodes) 1546683965.116 * * [misc]simplify: iters left: 3 (40 enodes) 1546683965.125 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683965.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683965.125 * * * * [misc]progress: [ 115 / 266 ] simplifiying candidate # 1546683965.126 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683965.126 * * [misc]simplify: iters left: 6 (19 enodes) 1546683965.133 * * [misc]simplify: iters left: 5 (31 enodes) 1546683965.141 * * [misc]simplify: iters left: 4 (42 enodes) 1546683965.153 * * [misc]simplify: iters left: 3 (58 enodes) 1546683965.168 * * [misc]simplify: iters left: 2 (70 enodes) 1546683965.185 * * [misc]simplify: iters left: 1 (76 enodes) 1546683965.205 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546683965.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683965.205 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683965.206 * * [misc]simplify: iters left: 6 (19 enodes) 1546683965.212 * * [misc]simplify: iters left: 5 (29 enodes) 1546683965.220 * * [misc]simplify: iters left: 4 (34 enodes) 1546683965.230 * * [misc]simplify: iters left: 3 (40 enodes) 1546683965.239 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683965.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683965.240 * * * * [misc]progress: [ 116 / 266 ] simplifiying candidate # 1546683965.241 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683965.241 * * [misc]simplify: iters left: 6 (19 enodes) 1546683965.248 * * [misc]simplify: iters left: 5 (31 enodes) 1546683965.256 * * [misc]simplify: iters left: 4 (42 enodes) 1546683965.267 * * [misc]simplify: iters left: 3 (58 enodes) 1546683965.279 * * [misc]simplify: iters left: 2 (70 enodes) 1546683965.296 * * [misc]simplify: iters left: 1 (76 enodes) 1546683965.312 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546683965.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683965.312 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683965.312 * * [misc]simplify: iters left: 6 (19 enodes) 1546683965.315 * * [misc]simplify: iters left: 5 (29 enodes) 1546683965.319 * * [misc]simplify: iters left: 4 (34 enodes) 1546683965.324 * * [misc]simplify: iters left: 3 (40 enodes) 1546683965.329 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683965.329 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683965.329 * * * * [misc]progress: [ 117 / 266 ] simplifiying candidate # 1546683965.329 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683965.329 * * [misc]simplify: iters left: 6 (18 enodes) 1546683965.332 * * [misc]simplify: iters left: 5 (28 enodes) 1546683965.336 * * [misc]simplify: iters left: 4 (39 enodes) 1546683965.342 * * [misc]simplify: iters left: 3 (55 enodes) 1546683965.354 * * [misc]simplify: iters left: 2 (67 enodes) 1546683965.370 * * [misc]simplify: iters left: 1 (73 enodes) 1546683965.389 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683965.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683965.390 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683965.390 * * [misc]simplify: iters left: 6 (16 enodes) 1546683965.396 * * [misc]simplify: iters left: 5 (24 enodes) 1546683965.402 * * [misc]simplify: iters left: 4 (31 enodes) 1546683965.411 * * [misc]simplify: iters left: 3 (37 enodes) 1546683965.419 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683965.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683965.420 * * * * [misc]progress: [ 118 / 266 ] simplifiying candidate # 1546683965.420 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683965.420 * * [misc]simplify: iters left: 6 (21 enodes) 1546683965.428 * * [misc]simplify: iters left: 5 (34 enodes) 1546683965.437 * * [misc]simplify: iters left: 4 (49 enodes) 1546683965.446 * * [misc]simplify: iters left: 3 (79 enodes) 1546683965.458 * * [misc]simplify: iters left: 2 (118 enodes) 1546683965.497 * * [misc]simplify: iters left: 1 (151 enodes) 1546683965.525 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1546683965.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683965.526 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683965.526 * * [misc]simplify: iters left: 6 (19 enodes) 1546683965.529 * * [misc]simplify: iters left: 5 (28 enodes) 1546683965.533 * * [misc]simplify: iters left: 4 (35 enodes) 1546683965.541 * * [misc]simplify: iters left: 3 (41 enodes) 1546683965.551 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683965.551 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1546683965.551 * * * * [misc]progress: [ 119 / 266 ] simplifiying candidate # 1546683965.551 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683965.551 * * [misc]simplify: iters left: 6 (20 enodes) 1546683965.558 * * [misc]simplify: iters left: 5 (31 enodes) 1546683965.567 * * [misc]simplify: iters left: 4 (42 enodes) 1546683965.579 * * [misc]simplify: iters left: 3 (58 enodes) 1546683965.596 * * [misc]simplify: iters left: 2 (70 enodes) 1546683965.613 * * [misc]simplify: iters left: 1 (76 enodes) 1546683965.632 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546683965.632 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683965.632 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683965.632 * * [misc]simplify: iters left: 6 (19 enodes) 1546683965.639 * * [misc]simplify: iters left: 5 (28 enodes) 1546683965.647 * * [misc]simplify: iters left: 4 (35 enodes) 1546683965.657 * * [misc]simplify: iters left: 3 (41 enodes) 1546683965.666 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683965.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1546683965.667 * * * * [misc]progress: [ 120 / 266 ] simplifiying candidate # 1546683965.667 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) 1)) 1546683965.667 * * [misc]simplify: iters left: 6 (16 enodes) 1546683965.673 * * [misc]simplify: iters left: 5 (26 enodes) 1546683965.681 * * [misc]simplify: iters left: 4 (38 enodes) 1546683965.691 * * [misc]simplify: iters left: 3 (50 enodes) 1546683965.702 * * [misc]simplify: iters left: 2 (51 enodes) 1546683965.710 * * [misc]simplify: iters left: 1 (57 enodes) 1546683965.723 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683965.723 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683965.723 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683965.723 * * [misc]simplify: iters left: 6 (18 enodes) 1546683965.729 * * [misc]simplify: iters left: 5 (27 enodes) 1546683965.738 * * [misc]simplify: iters left: 4 (34 enodes) 1546683965.748 * * [misc]simplify: iters left: 3 (40 enodes) 1546683965.757 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683965.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683965.758 * * * * [misc]progress: [ 121 / 266 ] simplifiying candidate # 1546683965.758 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1546683965.758 * * [misc]simplify: iters left: 6 (17 enodes) 1546683965.764 * * [misc]simplify: iters left: 5 (29 enodes) 1546683965.772 * * [misc]simplify: iters left: 4 (40 enodes) 1546683965.784 * * [misc]simplify: iters left: 3 (59 enodes) 1546683965.798 * * [misc]simplify: iters left: 2 (81 enodes) 1546683965.810 * * [misc]simplify: iters left: 1 (160 enodes) 1546683965.857 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683965.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683965.857 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683965.857 * * [misc]simplify: iters left: 6 (18 enodes) 1546683965.863 * * [misc]simplify: iters left: 5 (28 enodes) 1546683965.869 * * [misc]simplify: iters left: 4 (33 enodes) 1546683965.878 * * [misc]simplify: iters left: 3 (39 enodes) 1546683965.886 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546683965.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1546683965.886 * * * * [misc]progress: [ 122 / 266 ] simplifiying candidate # 1546683965.886 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1546683965.886 * * [misc]simplify: iters left: 6 (17 enodes) 1546683965.892 * * [misc]simplify: iters left: 5 (29 enodes) 1546683965.900 * * [misc]simplify: iters left: 4 (40 enodes) 1546683965.912 * * [misc]simplify: iters left: 3 (59 enodes) 1546683965.927 * * [misc]simplify: iters left: 2 (81 enodes) 1546683965.952 * * [misc]simplify: iters left: 1 (160 enodes) 1546683966.021 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683966.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683966.022 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683966.022 * * [misc]simplify: iters left: 6 (18 enodes) 1546683966.028 * * [misc]simplify: iters left: 5 (28 enodes) 1546683966.036 * * [misc]simplify: iters left: 4 (33 enodes) 1546683966.045 * * [misc]simplify: iters left: 3 (39 enodes) 1546683966.055 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546683966.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1546683966.055 * * * * [misc]progress: [ 123 / 266 ] simplifiying candidate # 1546683966.055 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546683966.055 * * [misc]simplify: iters left: 6 (16 enodes) 1546683966.061 * * [misc]simplify: iters left: 5 (26 enodes) 1546683966.068 * * [misc]simplify: iters left: 4 (37 enodes) 1546683966.080 * * [misc]simplify: iters left: 3 (56 enodes) 1546683966.093 * * [misc]simplify: iters left: 2 (78 enodes) 1546683966.107 * * [misc]simplify: iters left: 1 (140 enodes) 1546683966.134 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546683966.134 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683966.134 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683966.135 * * [misc]simplify: iters left: 6 (15 enodes) 1546683966.137 * * [misc]simplify: iters left: 5 (23 enodes) 1546683966.140 * * [misc]simplify: iters left: 4 (30 enodes) 1546683966.144 * * [misc]simplify: iters left: 3 (36 enodes) 1546683966.149 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683966.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683966.149 * * * * [misc]progress: [ 124 / 266 ] simplifiying candidate # 1546683966.149 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683966.149 * * [misc]simplify: iters left: 6 (19 enodes) 1546683966.152 * * [misc]simplify: iters left: 5 (32 enodes) 1546683966.157 * * [misc]simplify: iters left: 4 (47 enodes) 1546683966.164 * * [misc]simplify: iters left: 3 (78 enodes) 1546683966.177 * * [misc]simplify: iters left: 2 (146 enodes) 1546683966.224 * * [misc]simplify: iters left: 1 (394 enodes) 1546683966.504 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683966.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683966.505 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683966.505 * * [misc]simplify: iters left: 6 (18 enodes) 1546683966.512 * * [misc]simplify: iters left: 5 (27 enodes) 1546683966.519 * * [misc]simplify: iters left: 4 (34 enodes) 1546683966.528 * * [misc]simplify: iters left: 3 (40 enodes) 1546683966.533 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683966.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683966.533 * * * * [misc]progress: [ 125 / 266 ] simplifiying candidate # 1546683966.533 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683966.534 * * [misc]simplify: iters left: 6 (18 enodes) 1546683966.537 * * [misc]simplify: iters left: 5 (29 enodes) 1546683966.541 * * [misc]simplify: iters left: 4 (40 enodes) 1546683966.547 * * [misc]simplify: iters left: 3 (59 enodes) 1546683966.554 * * [misc]simplify: iters left: 2 (81 enodes) 1546683966.569 * * [misc]simplify: iters left: 1 (161 enodes) 1546683966.618 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683966.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683966.619 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683966.619 * * [misc]simplify: iters left: 6 (18 enodes) 1546683966.626 * * [misc]simplify: iters left: 5 (27 enodes) 1546683966.633 * * [misc]simplify: iters left: 4 (34 enodes) 1546683966.643 * * [misc]simplify: iters left: 3 (40 enodes) 1546683966.653 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683966.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683966.653 * * * * [misc]progress: [ 126 / 266 ] simplifiying candidate # 1546683966.653 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1546683966.654 * * [misc]simplify: iters left: 6 (14 enodes) 1546683966.658 * * [misc]simplify: iters left: 5 (21 enodes) 1546683966.665 * * [misc]simplify: iters left: 4 (29 enodes) 1546683966.672 * * [misc]simplify: iters left: 3 (39 enodes) 1546683966.681 * * [misc]simplify: iters left: 2 (51 enodes) 1546683966.687 * * [misc]simplify: iters left: 1 (79 enodes) 1546683966.697 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546683966.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683966.697 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683966.697 * * [misc]simplify: iters left: 6 (17 enodes) 1546683966.700 * * [misc]simplify: iters left: 5 (26 enodes) 1546683966.704 * * [misc]simplify: iters left: 4 (33 enodes) 1546683966.708 * * [misc]simplify: iters left: 3 (39 enodes) 1546683966.713 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683966.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683966.713 * * * * [misc]progress: [ 127 / 266 ] simplifiying candidate # 1546683966.713 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1546683966.713 * * [misc]simplify: iters left: 6 (13 enodes) 1546683966.716 * * [misc]simplify: iters left: 5 (21 enodes) 1546683966.722 * * [misc]simplify: iters left: 4 (31 enodes) 1546683966.730 * * [misc]simplify: iters left: 3 (46 enodes) 1546683966.742 * * [misc]simplify: iters left: 2 (72 enodes) 1546683966.761 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546683966.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683966.761 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683966.761 * * [misc]simplify: iters left: 6 (17 enodes) 1546683966.767 * * [misc]simplify: iters left: 5 (26 enodes) 1546683966.774 * * [misc]simplify: iters left: 4 (33 enodes) 1546683966.782 * * [misc]simplify: iters left: 3 (39 enodes) 1546683966.787 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683966.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683966.788 * * * * [misc]progress: [ 128 / 266 ] simplifiying candidate # 1546683966.788 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1546683966.788 * * [misc]simplify: iters left: 6 (14 enodes) 1546683966.790 * * [misc]simplify: iters left: 5 (22 enodes) 1546683966.793 * * [misc]simplify: iters left: 4 (28 enodes) 1546683966.797 * * [misc]simplify: iters left: 3 (33 enodes) 1546683966.803 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546683966.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683966.803 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546683966.804 * * [misc]simplify: iters left: 6 (16 enodes) 1546683966.809 * * [misc]simplify: iters left: 5 (25 enodes) 1546683966.815 * * [misc]simplify: iters left: 4 (32 enodes) 1546683966.825 * * [misc]simplify: iters left: 3 (45 enodes) 1546683966.835 * * [misc]simplify: iters left: 2 (47 enodes) 1546683966.844 * * [misc]simplify: iters left: 1 (52 enodes) 1546683966.856 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546683966.856 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1546683966.856 * * * * [misc]progress: [ 129 / 266 ] simplifiying candidate # 1546683966.856 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1546683966.857 * * [misc]simplify: iters left: 6 (18 enodes) 1546683966.863 * * [misc]simplify: iters left: 5 (30 enodes) 1546683966.872 * * [misc]simplify: iters left: 4 (41 enodes) 1546683966.884 * * [misc]simplify: iters left: 3 (57 enodes) 1546683966.898 * * [misc]simplify: iters left: 2 (69 enodes) 1546683966.915 * * [misc]simplify: iters left: 1 (75 enodes) 1546683966.935 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1546683966.936 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1546683966.936 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546683966.936 * * [misc]simplify: iters left: 6 (15 enodes) 1546683966.941 * * [misc]simplify: iters left: 5 (22 enodes) 1546683966.947 * * [misc]simplify: iters left: 4 (26 enodes) 1546683966.954 * * [misc]simplify: iters left: 3 (30 enodes) 1546683966.961 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546683966.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1546683966.961 * * * * [misc]progress: [ 130 / 266 ] simplifiying candidate # 1546683966.962 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683966.962 * * [misc]simplify: iters left: 6 (19 enodes) 1546683966.968 * * [misc]simplify: iters left: 5 (28 enodes) 1546683966.976 * * [misc]simplify: iters left: 4 (32 enodes) 1546683966.985 * * [misc]simplify: iters left: 3 (36 enodes) 1546683966.991 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683966.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683966.991 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683966.991 * * [misc]simplify: iters left: 6 (18 enodes) 1546683966.994 * * [misc]simplify: iters left: 5 (25 enodes) 1546683966.997 * * [misc]simplify: iters left: 4 (29 enodes) 1546683967.001 * * [misc]simplify: iters left: 3 (33 enodes) 1546683967.006 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683967.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683967.006 * * * * [misc]progress: [ 131 / 266 ] simplifiying candidate # 1546683967.006 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.006 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.011 * * [misc]simplify: iters left: 5 (25 enodes) 1546683967.017 * * [misc]simplify: iters left: 4 (29 enodes) 1546683967.026 * * [misc]simplify: iters left: 3 (33 enodes) 1546683967.034 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683967.034 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683967.034 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.034 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.040 * * [misc]simplify: iters left: 5 (25 enodes) 1546683967.047 * * [misc]simplify: iters left: 4 (29 enodes) 1546683967.057 * * [misc]simplify: iters left: 3 (33 enodes) 1546683967.062 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683967.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683967.062 * * * * [misc]progress: [ 132 / 266 ] simplifiying candidate # 1546683967.062 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683967.062 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.066 * * [misc]simplify: iters left: 5 (31 enodes) 1546683967.070 * * [misc]simplify: iters left: 4 (42 enodes) 1546683967.076 * * [misc]simplify: iters left: 3 (58 enodes) 1546683967.083 * * [misc]simplify: iters left: 2 (63 enodes) 1546683967.090 * * [misc]simplify: iters left: 1 (70 enodes) 1546683967.101 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546683967.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683967.102 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683967.102 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.108 * * [misc]simplify: iters left: 5 (29 enodes) 1546683967.114 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.123 * * [misc]simplify: iters left: 3 (40 enodes) 1546683967.131 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683967.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683967.131 * * * * [misc]progress: [ 133 / 266 ] simplifiying candidate # 1546683967.131 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683967.132 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.137 * * [misc]simplify: iters left: 5 (31 enodes) 1546683967.144 * * [misc]simplify: iters left: 4 (42 enodes) 1546683967.154 * * [misc]simplify: iters left: 3 (58 enodes) 1546683967.169 * * [misc]simplify: iters left: 2 (63 enodes) 1546683967.177 * * [misc]simplify: iters left: 1 (70 enodes) 1546683967.185 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546683967.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683967.185 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683967.185 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.188 * * [misc]simplify: iters left: 5 (29 enodes) 1546683967.192 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.197 * * [misc]simplify: iters left: 3 (40 enodes) 1546683967.203 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683967.203 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683967.203 * * * * [misc]progress: [ 134 / 266 ] simplifiying candidate # 1546683967.204 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546683967.204 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.210 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.218 * * [misc]simplify: iters left: 4 (39 enodes) 1546683967.230 * * [misc]simplify: iters left: 3 (55 enodes) 1546683967.242 * * [misc]simplify: iters left: 2 (60 enodes) 1546683967.248 * * [misc]simplify: iters left: 1 (67 enodes) 1546683967.256 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546683967.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683967.256 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683967.256 * * [misc]simplify: iters left: 6 (16 enodes) 1546683967.260 * * [misc]simplify: iters left: 5 (24 enodes) 1546683967.263 * * [misc]simplify: iters left: 4 (31 enodes) 1546683967.268 * * [misc]simplify: iters left: 3 (37 enodes) 1546683967.272 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683967.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683967.272 * * * * [misc]progress: [ 135 / 266 ] simplifiying candidate # 1546683967.273 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683967.273 * * [misc]simplify: iters left: 6 (21 enodes) 1546683967.278 * * [misc]simplify: iters left: 5 (36 enodes) 1546683967.283 * * [misc]simplify: iters left: 4 (58 enodes) 1546683967.292 * * [misc]simplify: iters left: 3 (85 enodes) 1546683967.307 * * [misc]simplify: iters left: 2 (115 enodes) 1546683967.340 * * [misc]simplify: iters left: 1 (139 enodes) 1546683967.388 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.388 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683967.388 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.388 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.395 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.402 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.412 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.422 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546683967.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1546683967.423 * * * * [misc]progress: [ 136 / 266 ] simplifiying candidate # 1546683967.423 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.423 * * [misc]simplify: iters left: 6 (20 enodes) 1546683967.430 * * [misc]simplify: iters left: 5 (31 enodes) 1546683967.439 * * [misc]simplify: iters left: 4 (42 enodes) 1546683967.452 * * [misc]simplify: iters left: 3 (58 enodes) 1546683967.466 * * [misc]simplify: iters left: 2 (63 enodes) 1546683967.480 * * [misc]simplify: iters left: 1 (70 enodes) 1546683967.498 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683967.498 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.499 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.505 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.514 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.524 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.534 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546683967.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1546683967.534 * * * * [misc]progress: [ 137 / 266 ] simplifiying candidate # 1546683967.535 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546683967.535 * * [misc]simplify: iters left: 6 (16 enodes) 1546683967.541 * * [misc]simplify: iters left: 5 (26 enodes) 1546683967.549 * * [misc]simplify: iters left: 4 (41 enodes) 1546683967.560 * * [misc]simplify: iters left: 3 (63 enodes) 1546683967.570 * * [misc]simplify: iters left: 2 (129 enodes) 1546683967.604 * * [misc]simplify: iters left: 1 (190 enodes) 1546683967.627 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683967.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683967.627 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683967.627 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.630 * * [misc]simplify: iters left: 5 (27 enodes) 1546683967.634 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.639 * * [misc]simplify: iters left: 3 (40 enodes) 1546683967.644 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683967.644 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683967.644 * * * * [misc]progress: [ 138 / 266 ] simplifiying candidate # 1546683967.644 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683967.645 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.651 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.658 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.672 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.682 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546683967.682 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683967.682 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683967.683 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.689 * * [misc]simplify: iters left: 5 (29 enodes) 1546683967.697 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.706 * * [misc]simplify: iters left: 3 (40 enodes) 1546683967.715 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683967.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683967.715 * * * * [misc]progress: [ 139 / 266 ] simplifiying candidate # 1546683967.715 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683967.715 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.721 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.728 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.736 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.745 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546683967.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683967.745 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683967.745 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.749 * * [misc]simplify: iters left: 5 (29 enodes) 1546683967.753 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.758 * * [misc]simplify: iters left: 3 (40 enodes) 1546683967.763 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683967.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683967.763 * * * * [misc]progress: [ 140 / 266 ] simplifiying candidate # 1546683967.763 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683967.763 * * [misc]simplify: iters left: 6 (17 enodes) 1546683967.766 * * [misc]simplify: iters left: 5 (25 enodes) 1546683967.769 * * [misc]simplify: iters left: 4 (32 enodes) 1546683967.774 * * [misc]simplify: iters left: 3 (38 enodes) 1546683967.778 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683967.778 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683967.779 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683967.779 * * [misc]simplify: iters left: 6 (16 enodes) 1546683967.781 * * [misc]simplify: iters left: 5 (24 enodes) 1546683967.784 * * [misc]simplify: iters left: 4 (31 enodes) 1546683967.789 * * [misc]simplify: iters left: 3 (37 enodes) 1546683967.793 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683967.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683967.793 * * * * [misc]progress: [ 141 / 266 ] simplifiying candidate # 1546683967.793 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683967.794 * * [misc]simplify: iters left: 6 (20 enodes) 1546683967.797 * * [misc]simplify: iters left: 5 (31 enodes) 1546683967.803 * * [misc]simplify: iters left: 4 (40 enodes) 1546683967.815 * * [misc]simplify: iters left: 3 (53 enodes) 1546683967.828 * * [misc]simplify: iters left: 2 (61 enodes) 1546683967.837 * * [misc]simplify: iters left: 1 (63 enodes) 1546683967.845 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683967.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683967.845 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.845 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.849 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.852 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.857 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.862 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683967.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1546683967.862 * * * * [misc]progress: [ 142 / 266 ] simplifiying candidate # 1546683967.862 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.863 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.869 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.874 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.879 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.884 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683967.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683967.884 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683967.884 * * [misc]simplify: iters left: 6 (19 enodes) 1546683967.887 * * [misc]simplify: iters left: 5 (28 enodes) 1546683967.891 * * [misc]simplify: iters left: 4 (35 enodes) 1546683967.895 * * [misc]simplify: iters left: 3 (41 enodes) 1546683967.900 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683967.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1546683967.901 * * * * [misc]progress: [ 143 / 266 ] simplifiying candidate # 1546683967.901 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1546683967.901 * * [misc]simplify: iters left: 6 (15 enodes) 1546683967.904 * * [misc]simplify: iters left: 5 (23 enodes) 1546683967.911 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.919 * * [misc]simplify: iters left: 3 (39 enodes) 1546683967.930 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683967.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683967.930 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683967.930 * * [misc]simplify: iters left: 6 (18 enodes) 1546683967.936 * * [misc]simplify: iters left: 5 (27 enodes) 1546683967.944 * * [misc]simplify: iters left: 4 (34 enodes) 1546683967.953 * * [misc]simplify: iters left: 3 (40 enodes) 1546683967.962 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683967.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683967.962 * * * * [misc]progress: [ 144 / 266 ] simplifiying candidate # 1546683967.963 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546683967.963 * * [misc]simplify: iters left: 6 (16 enodes) 1546683967.968 * * [misc]simplify: iters left: 5 (26 enodes) 1546683967.976 * * [misc]simplify: iters left: 4 (33 enodes) 1546683967.985 * * [misc]simplify: iters left: 3 (46 enodes) 1546683967.996 * * [misc]simplify: iters left: 2 (48 enodes) 1546683968.006 * * [misc]simplify: iters left: 1 (53 enodes) 1546683968.017 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546683968.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683968.018 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683968.018 * * [misc]simplify: iters left: 6 (18 enodes) 1546683968.024 * * [misc]simplify: iters left: 5 (28 enodes) 1546683968.032 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.041 * * [misc]simplify: iters left: 3 (39 enodes) 1546683968.047 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546683968.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1546683968.047 * * * * [misc]progress: [ 145 / 266 ] simplifiying candidate # 1546683968.047 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546683968.047 * * [misc]simplify: iters left: 6 (16 enodes) 1546683968.050 * * [misc]simplify: iters left: 5 (26 enodes) 1546683968.053 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.058 * * [misc]simplify: iters left: 3 (46 enodes) 1546683968.065 * * [misc]simplify: iters left: 2 (48 enodes) 1546683968.069 * * [misc]simplify: iters left: 1 (53 enodes) 1546683968.076 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546683968.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683968.076 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683968.077 * * [misc]simplify: iters left: 6 (18 enodes) 1546683968.083 * * [misc]simplify: iters left: 5 (28 enodes) 1546683968.092 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.101 * * [misc]simplify: iters left: 3 (39 enodes) 1546683968.110 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546683968.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1546683968.110 * * * * [misc]progress: [ 146 / 266 ] simplifiying candidate # 1546683968.111 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546683968.111 * * [misc]simplify: iters left: 6 (15 enodes) 1546683968.116 * * [misc]simplify: iters left: 5 (23 enodes) 1546683968.123 * * [misc]simplify: iters left: 4 (30 enodes) 1546683968.132 * * [misc]simplify: iters left: 3 (43 enodes) 1546683968.142 * * [misc]simplify: iters left: 2 (45 enodes) 1546683968.151 * * [misc]simplify: iters left: 1 (50 enodes) 1546683968.156 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546683968.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683968.157 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683968.157 * * [misc]simplify: iters left: 6 (15 enodes) 1546683968.159 * * [misc]simplify: iters left: 5 (23 enodes) 1546683968.162 * * [misc]simplify: iters left: 4 (30 enodes) 1546683968.167 * * [misc]simplify: iters left: 3 (36 enodes) 1546683968.171 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683968.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683968.171 * * * * [misc]progress: [ 147 / 266 ] simplifiying candidate # 1546683968.171 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683968.171 * * [misc]simplify: iters left: 6 (18 enodes) 1546683968.174 * * [misc]simplify: iters left: 5 (29 enodes) 1546683968.180 * * [misc]simplify: iters left: 4 (38 enodes) 1546683968.191 * * [misc]simplify: iters left: 3 (55 enodes) 1546683968.206 * * [misc]simplify: iters left: 2 (64 enodes) 1546683968.215 * * [misc]simplify: iters left: 1 (74 enodes) 1546683968.225 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683968.226 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.226 * * [misc]simplify: iters left: 6 (18 enodes) 1546683968.229 * * [misc]simplify: iters left: 5 (27 enodes) 1546683968.233 * * [misc]simplify: iters left: 4 (34 enodes) 1546683968.237 * * [misc]simplify: iters left: 3 (40 enodes) 1546683968.242 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683968.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683968.242 * * * * [misc]progress: [ 148 / 266 ] simplifiying candidate # 1546683968.242 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.242 * * [misc]simplify: iters left: 6 (17 enodes) 1546683968.245 * * [misc]simplify: iters left: 5 (26 enodes) 1546683968.249 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.254 * * [misc]simplify: iters left: 3 (46 enodes) 1546683968.259 * * [misc]simplify: iters left: 2 (48 enodes) 1546683968.264 * * [misc]simplify: iters left: 1 (53 enodes) 1546683968.274 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546683968.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683968.274 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.274 * * [misc]simplify: iters left: 6 (18 enodes) 1546683968.281 * * [misc]simplify: iters left: 5 (27 enodes) 1546683968.289 * * [misc]simplify: iters left: 4 (34 enodes) 1546683968.298 * * [misc]simplify: iters left: 3 (40 enodes) 1546683968.308 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683968.308 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1546683968.308 * * * * [misc]progress: [ 149 / 266 ] simplifiying candidate # 1546683968.309 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1546683968.309 * * [misc]simplify: iters left: 6 (13 enodes) 1546683968.313 * * [misc]simplify: iters left: 5 (18 enodes) 1546683968.319 * * [misc]simplify: iters left: 4 (26 enodes) 1546683968.325 * * [misc]simplify: iters left: 3 (30 enodes) 1546683968.329 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546683968.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683968.330 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683968.330 * * [misc]simplify: iters left: 6 (17 enodes) 1546683968.333 * * [misc]simplify: iters left: 5 (26 enodes) 1546683968.336 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.341 * * [misc]simplify: iters left: 3 (39 enodes) 1546683968.346 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683968.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683968.346 * * * * [misc]progress: [ 150 / 266 ] simplifiying candidate # 1546683968.346 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1546683968.346 * * [misc]simplify: iters left: 6 (12 enodes) 1546683968.348 * * [misc]simplify: iters left: 5 (18 enodes) 1546683968.351 * * [misc]simplify: iters left: 4 (24 enodes) 1546683968.353 * * [misc]simplify: iters left: 3 (25 enodes) 1546683968.356 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546683968.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683968.356 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683968.357 * * [misc]simplify: iters left: 6 (17 enodes) 1546683968.360 * * [misc]simplify: iters left: 5 (26 enodes) 1546683968.366 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.376 * * [misc]simplify: iters left: 3 (39 enodes) 1546683968.385 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683968.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683968.385 * * * * [misc]progress: [ 151 / 266 ] simplifiying candidate # 1546683968.386 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1546683968.386 * * [misc]simplify: iters left: 6 (13 enodes) 1546683968.390 * * [misc]simplify: iters left: 5 (19 enodes) 1546683968.397 * * [misc]simplify: iters left: 4 (23 enodes) 1546683968.403 * * [misc]simplify: iters left: 3 (27 enodes) 1546683968.409 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683968.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683968.410 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546683968.410 * * [misc]simplify: iters left: 6 (16 enodes) 1546683968.416 * * [misc]simplify: iters left: 5 (25 enodes) 1546683968.422 * * [misc]simplify: iters left: 4 (32 enodes) 1546683968.432 * * [misc]simplify: iters left: 3 (45 enodes) 1546683968.443 * * [misc]simplify: iters left: 2 (47 enodes) 1546683968.451 * * [misc]simplify: iters left: 1 (52 enodes) 1546683968.462 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546683968.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1546683968.463 * * * * [misc]progress: [ 152 / 266 ] simplifiying candidate # 1546683968.463 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1546683968.463 * * [misc]simplify: iters left: 6 (17 enodes) 1546683968.469 * * [misc]simplify: iters left: 5 (27 enodes) 1546683968.476 * * [misc]simplify: iters left: 4 (34 enodes) 1546683968.486 * * [misc]simplify: iters left: 3 (40 enodes) 1546683968.495 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1546683968.495 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1546683968.496 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546683968.496 * * [misc]simplify: iters left: 6 (15 enodes) 1546683968.501 * * [misc]simplify: iters left: 5 (22 enodes) 1546683968.508 * * [misc]simplify: iters left: 4 (26 enodes) 1546683968.515 * * [misc]simplify: iters left: 3 (30 enodes) 1546683968.522 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546683968.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1546683968.522 * * * * [misc]progress: [ 153 / 266 ] simplifiying candidate # 1546683968.523 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683968.523 * * [misc]simplify: iters left: 6 (14 enodes) 1546683968.527 * * [misc]simplify: iters left: 5 (21 enodes) 1546683968.533 * * [misc]simplify: iters left: 4 (24 enodes) 1546683968.540 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683968.540 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.540 * * [misc]simplify: iters left: 6 (17 enodes) 1546683968.545 * * [misc]simplify: iters left: 5 (26 enodes) 1546683968.549 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.554 * * [misc]simplify: iters left: 3 (45 enodes) 1546683968.560 * * [misc]simplify: iters left: 2 (70 enodes) 1546683968.572 * * [misc]simplify: iters left: 1 (91 enodes) 1546683968.601 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683968.602 * * * * [misc]progress: [ 154 / 266 ] simplifiying candidate # 1546683968.602 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.602 * * [misc]simplify: iters left: 6 (13 enodes) 1546683968.606 * * [misc]simplify: iters left: 5 (18 enodes) 1546683968.611 * * [misc]simplify: iters left: 4 (21 enodes) 1546683968.617 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683968.618 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.618 * * [misc]simplify: iters left: 6 (17 enodes) 1546683968.624 * * [misc]simplify: iters left: 5 (26 enodes) 1546683968.631 * * [misc]simplify: iters left: 4 (33 enodes) 1546683968.640 * * [misc]simplify: iters left: 3 (45 enodes) 1546683968.646 * * [misc]simplify: iters left: 2 (70 enodes) 1546683968.659 * * [misc]simplify: iters left: 1 (91 enodes) 1546683968.688 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683968.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683968.688 * * * * [misc]progress: [ 155 / 266 ] simplifiying candidate # 1546683968.688 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683968.688 * * [misc]simplify: iters left: 6 (12 enodes) 1546683968.690 * * [misc]simplify: iters left: 5 (20 enodes) 1546683968.693 * * [misc]simplify: iters left: 4 (27 enodes) 1546683968.697 * * [misc]simplify: iters left: 3 (37 enodes) 1546683968.704 * * [misc]simplify: iters left: 2 (64 enodes) 1546683968.713 * * [misc]simplify: iters left: 1 (93 enodes) 1546683968.734 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683968.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683968.734 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683968.734 * * [misc]simplify: iters left: 6 (18 enodes) 1546683968.737 * * [misc]simplify: iters left: 5 (30 enodes) 1546683968.742 * * [misc]simplify: iters left: 4 (41 enodes) 1546683968.749 * * [misc]simplify: iters left: 3 (76 enodes) 1546683968.768 * * [misc]simplify: iters left: 2 (142 enodes) 1546683968.830 * * [misc]simplify: iters left: 1 (391 enodes) 1546683969.087 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683969.087 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683969.087 * * * * [misc]progress: [ 156 / 266 ] simplifiying candidate # 1546683969.087 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683969.087 * * [misc]simplify: iters left: 6 (12 enodes) 1546683969.089 * * [misc]simplify: iters left: 5 (20 enodes) 1546683969.092 * * [misc]simplify: iters left: 4 (27 enodes) 1546683969.096 * * [misc]simplify: iters left: 3 (37 enodes) 1546683969.102 * * [misc]simplify: iters left: 2 (64 enodes) 1546683969.112 * * [misc]simplify: iters left: 1 (93 enodes) 1546683969.145 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683969.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683969.146 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683969.146 * * [misc]simplify: iters left: 6 (18 enodes) 1546683969.152 * * [misc]simplify: iters left: 5 (30 enodes) 1546683969.160 * * [misc]simplify: iters left: 4 (41 enodes) 1546683969.173 * * [misc]simplify: iters left: 3 (76 enodes) 1546683969.199 * * [misc]simplify: iters left: 2 (142 enodes) 1546683969.262 * * [misc]simplify: iters left: 1 (391 enodes) 1546683969.549 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683969.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683969.549 * * * * [misc]progress: [ 157 / 266 ] simplifiying candidate # 1546683969.549 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546683969.549 * * [misc]simplify: iters left: 6 (13 enodes) 1546683969.552 * * [misc]simplify: iters left: 5 (21 enodes) 1546683969.554 * * [misc]simplify: iters left: 4 (31 enodes) 1546683969.559 * * [misc]simplify: iters left: 3 (51 enodes) 1546683969.567 * * [misc]simplify: iters left: 2 (90 enodes) 1546683969.594 * * [misc]simplify: iters left: 1 (181 enodes) 1546683969.680 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683969.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683969.680 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683969.681 * * [misc]simplify: iters left: 6 (15 enodes) 1546683969.686 * * [misc]simplify: iters left: 5 (25 enodes) 1546683969.693 * * [misc]simplify: iters left: 4 (38 enodes) 1546683969.707 * * [misc]simplify: iters left: 3 (73 enodes) 1546683969.734 * * [misc]simplify: iters left: 2 (139 enodes) 1546683969.824 * * [misc]simplify: iters left: 1 (375 enodes) 1546683970.083 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546683970.083 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1546683970.083 * * * * [misc]progress: [ 158 / 266 ] simplifiying candidate # 1546683970.083 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683970.083 * * [misc]simplify: iters left: 6 (16 enodes) 1546683970.085 * * [misc]simplify: iters left: 5 (29 enodes) 1546683970.090 * * [misc]simplify: iters left: 4 (50 enodes) 1546683970.098 * * [misc]simplify: iters left: 3 (70 enodes) 1546683970.110 * * [misc]simplify: iters left: 2 (169 enodes) 1546683970.202 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546683970.202 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683970.203 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683970.203 * * [misc]simplify: iters left: 6 (18 enodes) 1546683970.209 * * [misc]simplify: iters left: 5 (29 enodes) 1546683970.217 * * [misc]simplify: iters left: 4 (42 enodes) 1546683970.231 * * [misc]simplify: iters left: 3 (77 enodes) 1546683970.257 * * [misc]simplify: iters left: 2 (143 enodes) 1546683970.354 * * [misc]simplify: iters left: 1 (394 enodes) 1546683970.575 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546683970.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683970.575 * * * * [misc]progress: [ 159 / 266 ] simplifiying candidate # 1546683970.575 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683970.575 * * [misc]simplify: iters left: 6 (15 enodes) 1546683970.577 * * [misc]simplify: iters left: 5 (24 enodes) 1546683970.580 * * [misc]simplify: iters left: 4 (34 enodes) 1546683970.585 * * [misc]simplify: iters left: 3 (54 enodes) 1546683970.597 * * [misc]simplify: iters left: 2 (93 enodes) 1546683970.626 * * [misc]simplify: iters left: 1 (182 enodes) 1546683970.707 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683970.707 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683970.708 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683970.708 * * [misc]simplify: iters left: 6 (18 enodes) 1546683970.711 * * [misc]simplify: iters left: 5 (29 enodes) 1546683970.715 * * [misc]simplify: iters left: 4 (42 enodes) 1546683970.722 * * [misc]simplify: iters left: 3 (77 enodes) 1546683970.735 * * [misc]simplify: iters left: 2 (143 enodes) 1546683970.824 * * [misc]simplify: iters left: 1 (394 enodes) 1546683971.040 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546683971.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683971.040 * * * * [misc]progress: [ 160 / 266 ] simplifiying candidate # 1546683971.040 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546683971.040 * * [misc]simplify: iters left: 6 (7 enodes) 1546683971.042 * * [misc]simplify: iters left: 5 (13 enodes) 1546683971.044 * * [misc]simplify: iters left: 4 (22 enodes) 1546683971.047 * * [misc]simplify: iters left: 3 (24 enodes) 1546683971.049 * * [misc]simplify: iters left: 2 (29 enodes) 1546683971.052 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546683971.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683971.052 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683971.052 * * [misc]simplify: iters left: 6 (17 enodes) 1546683971.056 * * [misc]simplify: iters left: 5 (28 enodes) 1546683971.063 * * [misc]simplify: iters left: 4 (41 enodes) 1546683971.077 * * [misc]simplify: iters left: 3 (76 enodes) 1546683971.103 * * [misc]simplify: iters left: 2 (142 enodes) 1546683971.174 * * [misc]simplify: iters left: 1 (380 enodes) 1546683971.400 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683971.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683971.400 * * * * [misc]progress: [ 161 / 266 ] simplifiying candidate # 1546683971.400 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683971.400 * * [misc]simplify: iters left: 6 (11 enodes) 1546683971.402 * * [misc]simplify: iters left: 5 (17 enodes) 1546683971.404 * * [misc]simplify: iters left: 4 (20 enodes) 1546683971.407 * * [misc]simplify: iters left: 3 (22 enodes) 1546683971.413 * * [misc]simplify: iters left: 2 (34 enodes) 1546683971.422 * * [misc]simplify: iters left: 1 (42 enodes) 1546683971.431 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546683971.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683971.432 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683971.432 * * [misc]simplify: iters left: 6 (18 enodes) 1546683971.437 * * [misc]simplify: iters left: 5 (30 enodes) 1546683971.441 * * [misc]simplify: iters left: 4 (41 enodes) 1546683971.448 * * [misc]simplify: iters left: 3 (76 enodes) 1546683971.460 * * [misc]simplify: iters left: 2 (142 enodes) 1546683971.548 * * [misc]simplify: iters left: 1 (391 enodes) 1546683971.836 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683971.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683971.836 * * * * [misc]progress: [ 162 / 266 ] simplifiying candidate # 1546683971.836 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683971.836 * * [misc]simplify: iters left: 6 (11 enodes) 1546683971.838 * * [misc]simplify: iters left: 5 (17 enodes) 1546683971.840 * * [misc]simplify: iters left: 4 (20 enodes) 1546683971.842 * * [misc]simplify: iters left: 3 (22 enodes) 1546683971.846 * * [misc]simplify: iters left: 2 (34 enodes) 1546683971.850 * * [misc]simplify: iters left: 1 (42 enodes) 1546683971.855 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546683971.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683971.855 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683971.855 * * [misc]simplify: iters left: 6 (18 enodes) 1546683971.858 * * [misc]simplify: iters left: 5 (30 enodes) 1546683971.862 * * [misc]simplify: iters left: 4 (41 enodes) 1546683971.869 * * [misc]simplify: iters left: 3 (76 enodes) 1546683971.884 * * [misc]simplify: iters left: 2 (142 enodes) 1546683971.966 * * [misc]simplify: iters left: 1 (391 enodes) 1546683972.199 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683972.199 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683972.199 * * * * [misc]progress: [ 163 / 266 ] simplifiying candidate # 1546683972.199 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683972.199 * * [misc]simplify: iters left: 6 (12 enodes) 1546683972.203 * * [misc]simplify: iters left: 5 (18 enodes) 1546683972.208 * * [misc]simplify: iters left: 4 (24 enodes) 1546683972.215 * * [misc]simplify: iters left: 3 (32 enodes) 1546683972.224 * * [misc]simplify: iters left: 2 (41 enodes) 1546683972.237 * * [misc]simplify: iters left: 1 (51 enodes) 1546683972.248 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683972.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683972.249 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683972.249 * * [misc]simplify: iters left: 6 (15 enodes) 1546683972.254 * * [misc]simplify: iters left: 5 (25 enodes) 1546683972.261 * * [misc]simplify: iters left: 4 (38 enodes) 1546683972.274 * * [misc]simplify: iters left: 3 (73 enodes) 1546683972.299 * * [misc]simplify: iters left: 2 (139 enodes) 1546683972.374 * * [misc]simplify: iters left: 1 (375 enodes) 1546683972.634 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546683972.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1546683972.634 * * * * [misc]progress: [ 164 / 266 ] simplifiying candidate # 1546683972.634 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683972.634 * * [misc]simplify: iters left: 6 (15 enodes) 1546683972.639 * * [misc]simplify: iters left: 5 (24 enodes) 1546683972.646 * * [misc]simplify: iters left: 4 (32 enodes) 1546683972.655 * * [misc]simplify: iters left: 3 (43 enodes) 1546683972.669 * * [misc]simplify: iters left: 2 (69 enodes) 1546683972.689 * * [misc]simplify: iters left: 1 (119 enodes) 1546683972.718 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683972.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683972.718 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683972.718 * * [misc]simplify: iters left: 6 (18 enodes) 1546683972.725 * * [misc]simplify: iters left: 5 (29 enodes) 1546683972.732 * * [misc]simplify: iters left: 4 (42 enodes) 1546683972.739 * * [misc]simplify: iters left: 3 (77 enodes) 1546683972.751 * * [misc]simplify: iters left: 2 (143 enodes) 1546683972.801 * * [misc]simplify: iters left: 1 (394 enodes) 1546683973.036 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546683973.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683973.036 * * * * [misc]progress: [ 165 / 266 ] simplifiying candidate # 1546683973.037 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683973.037 * * [misc]simplify: iters left: 6 (14 enodes) 1546683973.040 * * [misc]simplify: iters left: 5 (21 enodes) 1546683973.043 * * [misc]simplify: iters left: 4 (27 enodes) 1546683973.046 * * [misc]simplify: iters left: 3 (35 enodes) 1546683973.051 * * [misc]simplify: iters left: 2 (43 enodes) 1546683973.056 * * [misc]simplify: iters left: 1 (56 enodes) 1546683973.063 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683973.063 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683973.063 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683973.063 * * [misc]simplify: iters left: 6 (18 enodes) 1546683973.066 * * [misc]simplify: iters left: 5 (29 enodes) 1546683973.070 * * [misc]simplify: iters left: 4 (42 enodes) 1546683973.083 * * [misc]simplify: iters left: 3 (77 enodes) 1546683973.098 * * [misc]simplify: iters left: 2 (143 enodes) 1546683973.160 * * [misc]simplify: iters left: 1 (394 enodes) 1546683973.411 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546683973.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683973.411 * * * * [misc]progress: [ 166 / 266 ] simplifiying candidate # 1546683973.411 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546683973.411 * * [misc]simplify: iters left: 6 (6 enodes) 1546683973.412 * * [misc]simplify: iters left: 5 (10 enodes) 1546683973.414 * * [misc]simplify: iters left: 4 (16 enodes) 1546683973.416 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546683973.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683973.416 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683973.416 * * [misc]simplify: iters left: 6 (17 enodes) 1546683973.419 * * [misc]simplify: iters left: 5 (28 enodes) 1546683973.423 * * [misc]simplify: iters left: 4 (41 enodes) 1546683973.429 * * [misc]simplify: iters left: 3 (76 enodes) 1546683973.442 * * [misc]simplify: iters left: 2 (142 enodes) 1546683973.512 * * [misc]simplify: iters left: 1 (380 enodes) 1546683973.778 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683973.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683973.778 * * * * [misc]progress: [ 167 / 266 ] simplifiying candidate # 1546683973.778 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546683973.778 * * [misc]simplify: iters left: 6 (8 enodes) 1546683973.780 * * [misc]simplify: iters left: 5 (14 enodes) 1546683973.781 * * [misc]simplify: iters left: 4 (15 enodes) 1546683973.784 * * [misc]simplify: iters left: 3 (19 enodes) 1546683973.785 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546683973.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683973.786 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683973.786 * * [misc]simplify: iters left: 6 (17 enodes) 1546683973.789 * * [misc]simplify: iters left: 5 (29 enodes) 1546683973.792 * * [misc]simplify: iters left: 4 (40 enodes) 1546683973.799 * * [misc]simplify: iters left: 3 (75 enodes) 1546683973.812 * * [misc]simplify: iters left: 2 (141 enodes) 1546683973.858 * * [misc]simplify: iters left: 1 (379 enodes) 1546683974.046 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683974.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683974.046 * * * * [misc]progress: [ 168 / 266 ] simplifiying candidate # 1546683974.046 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546683974.046 * * [misc]simplify: iters left: 6 (8 enodes) 1546683974.048 * * [misc]simplify: iters left: 5 (14 enodes) 1546683974.049 * * [misc]simplify: iters left: 4 (15 enodes) 1546683974.052 * * [misc]simplify: iters left: 3 (19 enodes) 1546683974.054 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546683974.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683974.054 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683974.054 * * [misc]simplify: iters left: 6 (17 enodes) 1546683974.057 * * [misc]simplify: iters left: 5 (29 enodes) 1546683974.061 * * [misc]simplify: iters left: 4 (40 enodes) 1546683974.067 * * [misc]simplify: iters left: 3 (75 enodes) 1546683974.080 * * [misc]simplify: iters left: 2 (141 enodes) 1546683974.163 * * [misc]simplify: iters left: 1 (379 enodes) 1546683974.397 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683974.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683974.397 * * * * [misc]progress: [ 169 / 266 ] simplifiying candidate # 1546683974.398 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546683974.398 * * [misc]simplify: iters left: 6 (10 enodes) 1546683974.402 * * [misc]simplify: iters left: 5 (16 enodes) 1546683974.406 * * [misc]simplify: iters left: 4 (20 enodes) 1546683974.412 * * [misc]simplify: iters left: 3 (24 enodes) 1546683974.417 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546683974.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683974.417 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683974.417 * * [misc]simplify: iters left: 6 (14 enodes) 1546683974.422 * * [misc]simplify: iters left: 5 (24 enodes) 1546683974.430 * * [misc]simplify: iters left: 4 (37 enodes) 1546683974.442 * * [misc]simplify: iters left: 3 (72 enodes) 1546683974.469 * * [misc]simplify: iters left: 2 (138 enodes) 1546683974.528 * * [misc]simplify: iters left: 1 (391 enodes) 1546683974.726 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546683974.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1546683974.726 * * * * [misc]progress: [ 170 / 266 ] simplifiying candidate # 1546683974.726 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683974.727 * * [misc]simplify: iters left: 6 (13 enodes) 1546683974.731 * * [misc]simplify: iters left: 5 (22 enodes) 1546683974.737 * * [misc]simplify: iters left: 4 (26 enodes) 1546683974.745 * * [misc]simplify: iters left: 3 (32 enodes) 1546683974.755 * * [misc]simplify: iters left: 2 (34 enodes) 1546683974.763 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683974.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683974.764 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683974.764 * * [misc]simplify: iters left: 6 (17 enodes) 1546683974.770 * * [misc]simplify: iters left: 5 (28 enodes) 1546683974.774 * * [misc]simplify: iters left: 4 (41 enodes) 1546683974.781 * * [misc]simplify: iters left: 3 (76 enodes) 1546683974.794 * * [misc]simplify: iters left: 2 (142 enodes) 1546683974.840 * * [misc]simplify: iters left: 1 (382 enodes) 1546683975.135 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546683975.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1546683975.136 * * * * [misc]progress: [ 171 / 266 ] simplifiying candidate # 1546683975.136 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683975.136 * * [misc]simplify: iters left: 6 (12 enodes) 1546683975.138 * * [misc]simplify: iters left: 5 (19 enodes) 1546683975.141 * * [misc]simplify: iters left: 4 (23 enodes) 1546683975.144 * * [misc]simplify: iters left: 3 (27 enodes) 1546683975.147 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546683975.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683975.147 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683975.147 * * [misc]simplify: iters left: 6 (17 enodes) 1546683975.150 * * [misc]simplify: iters left: 5 (28 enodes) 1546683975.154 * * [misc]simplify: iters left: 4 (41 enodes) 1546683975.161 * * [misc]simplify: iters left: 3 (76 enodes) 1546683975.174 * * [misc]simplify: iters left: 2 (142 enodes) 1546683975.227 * * [misc]simplify: iters left: 1 (382 enodes) 1546683975.600 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546683975.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1546683975.600 * * * * [misc]progress: [ 172 / 266 ] simplifiying candidate # 1546683975.600 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546683975.601 * * [misc]simplify: iters left: 4 (3 enodes) 1546683975.602 * * [misc]simplify: iters left: 3 (5 enodes) 1546683975.602 * [exit]simplify: Simplified to 1 1546683975.602 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683975.603 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683975.603 * * [misc]simplify: iters left: 6 (16 enodes) 1546683975.609 * * [misc]simplify: iters left: 5 (27 enodes) 1546683975.616 * * [misc]simplify: iters left: 4 (40 enodes) 1546683975.629 * * [misc]simplify: iters left: 3 (75 enodes) 1546683975.654 * * [misc]simplify: iters left: 2 (141 enodes) 1546683975.744 * * [misc]simplify: iters left: 1 (376 enodes) 1546683975.993 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546683975.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1546683975.993 * * * * [misc]progress: [ 173 / 266 ] simplifiying candidate # 1546683975.994 * [enter]simplify: Simplifying (/ 1 1) 1546683975.994 * * [misc]simplify: iters left: 2 (2 enodes) 1546683975.994 * * [misc]simplify: iters left: 1 (4 enodes) 1546683975.995 * [exit]simplify: Simplified to 1 1546683975.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683975.995 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683975.996 * * [misc]simplify: iters left: 6 (16 enodes) 1546683976.001 * * [misc]simplify: iters left: 5 (27 enodes) 1546683976.007 * * [misc]simplify: iters left: 4 (40 enodes) 1546683976.014 * * [misc]simplify: iters left: 3 (75 enodes) 1546683976.027 * * [misc]simplify: iters left: 2 (141 enodes) 1546683976.091 * * [misc]simplify: iters left: 1 (376 enodes) 1546683976.339 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546683976.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1546683976.339 * * * * [misc]progress: [ 174 / 266 ] simplifiying candidate # 1546683976.339 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546683976.339 * * [misc]simplify: iters left: 3 (4 enodes) 1546683976.340 * * [misc]simplify: iters left: 2 (6 enodes) 1546683976.341 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546683976.341 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683976.341 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546683976.341 * * [misc]simplify: iters left: 6 (15 enodes) 1546683976.344 * * [misc]simplify: iters left: 5 (26 enodes) 1546683976.347 * * [misc]simplify: iters left: 4 (35 enodes) 1546683976.353 * * [misc]simplify: iters left: 3 (61 enodes) 1546683976.363 * * [misc]simplify: iters left: 2 (82 enodes) 1546683976.374 * * [misc]simplify: iters left: 1 (85 enodes) 1546683976.385 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546683976.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1546683976.385 * * * * [misc]progress: [ 175 / 266 ] simplifiying candidate # 1546683976.385 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546683976.385 * * [misc]simplify: iters left: 6 (10 enodes) 1546683976.387 * * [misc]simplify: iters left: 5 (16 enodes) 1546683976.389 * * [misc]simplify: iters left: 4 (19 enodes) 1546683976.391 * * [misc]simplify: iters left: 3 (21 enodes) 1546683976.397 * * [misc]simplify: iters left: 2 (33 enodes) 1546683976.405 * * [misc]simplify: iters left: 1 (41 enodes) 1546683976.413 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546683976.414 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1546683976.414 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546683976.414 * * [misc]simplify: iters left: 6 (14 enodes) 1546683976.419 * * [misc]simplify: iters left: 5 (23 enodes) 1546683976.425 * * [misc]simplify: iters left: 4 (30 enodes) 1546683976.434 * * [misc]simplify: iters left: 3 (42 enodes) 1546683976.441 * * [misc]simplify: iters left: 2 (67 enodes) 1546683976.452 * * [misc]simplify: iters left: 1 (88 enodes) 1546683976.465 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546683976.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1546683976.466 * * * * [misc]progress: [ 176 / 266 ] simplifiying candidate # 1546683976.466 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683976.466 * * [misc]simplify: iters left: 6 (14 enodes) 1546683976.469 * * [misc]simplify: iters left: 5 (21 enodes) 1546683976.474 * * [misc]simplify: iters left: 4 (24 enodes) 1546683976.483 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683976.483 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.483 * * [misc]simplify: iters left: 6 (17 enodes) 1546683976.490 * * [misc]simplify: iters left: 5 (26 enodes) 1546683976.497 * * [misc]simplify: iters left: 4 (33 enodes) 1546683976.506 * * [misc]simplify: iters left: 3 (45 enodes) 1546683976.519 * * [misc]simplify: iters left: 2 (70 enodes) 1546683976.543 * * [misc]simplify: iters left: 1 (91 enodes) 1546683976.572 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683976.572 * * * * [misc]progress: [ 177 / 266 ] simplifiying candidate # 1546683976.572 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.572 * * [misc]simplify: iters left: 6 (13 enodes) 1546683976.574 * * [misc]simplify: iters left: 5 (18 enodes) 1546683976.576 * * [misc]simplify: iters left: 4 (21 enodes) 1546683976.579 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683976.579 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.580 * * [misc]simplify: iters left: 6 (17 enodes) 1546683976.583 * * [misc]simplify: iters left: 5 (26 enodes) 1546683976.586 * * [misc]simplify: iters left: 4 (33 enodes) 1546683976.591 * * [misc]simplify: iters left: 3 (45 enodes) 1546683976.599 * * [misc]simplify: iters left: 2 (70 enodes) 1546683976.622 * * [misc]simplify: iters left: 1 (91 enodes) 1546683976.652 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683976.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683976.652 * * * * [misc]progress: [ 178 / 266 ] simplifiying candidate # 1546683976.652 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683976.652 * * [misc]simplify: iters left: 6 (12 enodes) 1546683976.656 * * [misc]simplify: iters left: 5 (20 enodes) 1546683976.661 * * [misc]simplify: iters left: 4 (27 enodes) 1546683976.669 * * [misc]simplify: iters left: 3 (37 enodes) 1546683976.681 * * [misc]simplify: iters left: 2 (64 enodes) 1546683976.701 * * [misc]simplify: iters left: 1 (93 enodes) 1546683976.733 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683976.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683976.733 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683976.734 * * [misc]simplify: iters left: 6 (18 enodes) 1546683976.740 * * [misc]simplify: iters left: 5 (30 enodes) 1546683976.748 * * [misc]simplify: iters left: 4 (41 enodes) 1546683976.762 * * [misc]simplify: iters left: 3 (76 enodes) 1546683976.782 * * [misc]simplify: iters left: 2 (142 enodes) 1546683976.831 * * [misc]simplify: iters left: 1 (391 enodes) 1546683977.086 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683977.086 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683977.086 * * * * [misc]progress: [ 179 / 266 ] simplifiying candidate # 1546683977.086 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683977.086 * * [misc]simplify: iters left: 6 (12 enodes) 1546683977.088 * * [misc]simplify: iters left: 5 (20 enodes) 1546683977.091 * * [misc]simplify: iters left: 4 (27 enodes) 1546683977.094 * * [misc]simplify: iters left: 3 (37 enodes) 1546683977.101 * * [misc]simplify: iters left: 2 (64 enodes) 1546683977.114 * * [misc]simplify: iters left: 1 (93 enodes) 1546683977.143 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683977.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683977.143 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683977.143 * * [misc]simplify: iters left: 6 (18 enodes) 1546683977.146 * * [misc]simplify: iters left: 5 (30 enodes) 1546683977.150 * * [misc]simplify: iters left: 4 (41 enodes) 1546683977.157 * * [misc]simplify: iters left: 3 (76 enodes) 1546683977.169 * * [misc]simplify: iters left: 2 (142 enodes) 1546683977.247 * * [misc]simplify: iters left: 1 (391 enodes) 1546683977.476 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683977.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683977.476 * * * * [misc]progress: [ 180 / 266 ] simplifiying candidate # 1546683977.476 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546683977.477 * * [misc]simplify: iters left: 6 (13 enodes) 1546683977.481 * * [misc]simplify: iters left: 5 (21 enodes) 1546683977.486 * * [misc]simplify: iters left: 4 (31 enodes) 1546683977.496 * * [misc]simplify: iters left: 3 (51 enodes) 1546683977.513 * * [misc]simplify: iters left: 2 (90 enodes) 1546683977.529 * * [misc]simplify: iters left: 1 (181 enodes) 1546683977.579 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683977.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683977.579 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683977.579 * * [misc]simplify: iters left: 6 (15 enodes) 1546683977.582 * * [misc]simplify: iters left: 5 (25 enodes) 1546683977.585 * * [misc]simplify: iters left: 4 (38 enodes) 1546683977.593 * * [misc]simplify: iters left: 3 (73 enodes) 1546683977.606 * * [misc]simplify: iters left: 2 (139 enodes) 1546683977.669 * * [misc]simplify: iters left: 1 (375 enodes) 1546683977.869 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546683977.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1546683977.870 * * * * [misc]progress: [ 181 / 266 ] simplifiying candidate # 1546683977.870 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683977.870 * * [misc]simplify: iters left: 6 (16 enodes) 1546683977.872 * * [misc]simplify: iters left: 5 (29 enodes) 1546683977.881 * * [misc]simplify: iters left: 4 (50 enodes) 1546683977.896 * * [misc]simplify: iters left: 3 (70 enodes) 1546683977.920 * * [misc]simplify: iters left: 2 (169 enodes) 1546683977.993 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546683977.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683977.993 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683977.993 * * [misc]simplify: iters left: 6 (18 enodes) 1546683977.996 * * [misc]simplify: iters left: 5 (29 enodes) 1546683978.004 * * [misc]simplify: iters left: 4 (42 enodes) 1546683978.017 * * [misc]simplify: iters left: 3 (77 enodes) 1546683978.044 * * [misc]simplify: iters left: 2 (143 enodes) 1546683978.128 * * [misc]simplify: iters left: 1 (394 enodes) 1546683978.336 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546683978.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683978.337 * * * * [misc]progress: [ 182 / 266 ] simplifiying candidate # 1546683978.337 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683978.337 * * [misc]simplify: iters left: 6 (15 enodes) 1546683978.339 * * [misc]simplify: iters left: 5 (24 enodes) 1546683978.342 * * [misc]simplify: iters left: 4 (34 enodes) 1546683978.347 * * [misc]simplify: iters left: 3 (54 enodes) 1546683978.365 * * [misc]simplify: iters left: 2 (93 enodes) 1546683978.393 * * [misc]simplify: iters left: 1 (182 enodes) 1546683978.452 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683978.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683978.452 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683978.452 * * [misc]simplify: iters left: 6 (18 enodes) 1546683978.458 * * [misc]simplify: iters left: 5 (29 enodes) 1546683978.466 * * [misc]simplify: iters left: 4 (42 enodes) 1546683978.480 * * [misc]simplify: iters left: 3 (77 enodes) 1546683978.506 * * [misc]simplify: iters left: 2 (143 enodes) 1546683978.600 * * [misc]simplify: iters left: 1 (394 enodes) 1546683978.823 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546683978.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683978.824 * * * * [misc]progress: [ 183 / 266 ] simplifiying candidate # 1546683978.824 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546683978.824 * * [misc]simplify: iters left: 6 (7 enodes) 1546683978.826 * * [misc]simplify: iters left: 5 (13 enodes) 1546683978.831 * * [misc]simplify: iters left: 4 (22 enodes) 1546683978.836 * * [misc]simplify: iters left: 3 (24 enodes) 1546683978.840 * * [misc]simplify: iters left: 2 (29 enodes) 1546683978.847 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546683978.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683978.847 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683978.847 * * [misc]simplify: iters left: 6 (17 enodes) 1546683978.853 * * [misc]simplify: iters left: 5 (28 enodes) 1546683978.861 * * [misc]simplify: iters left: 4 (41 enodes) 1546683978.874 * * [misc]simplify: iters left: 3 (76 enodes) 1546683978.902 * * [misc]simplify: iters left: 2 (142 enodes) 1546683978.950 * * [misc]simplify: iters left: 1 (380 enodes) 1546683979.228 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683979.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683979.228 * * * * [misc]progress: [ 184 / 266 ] simplifiying candidate # 1546683979.228 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683979.228 * * [misc]simplify: iters left: 6 (11 enodes) 1546683979.231 * * [misc]simplify: iters left: 5 (17 enodes) 1546683979.235 * * [misc]simplify: iters left: 4 (20 enodes) 1546683979.240 * * [misc]simplify: iters left: 3 (22 enodes) 1546683979.247 * * [misc]simplify: iters left: 2 (34 enodes) 1546683979.257 * * [misc]simplify: iters left: 1 (42 enodes) 1546683979.267 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546683979.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683979.267 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683979.267 * * [misc]simplify: iters left: 6 (18 enodes) 1546683979.270 * * [misc]simplify: iters left: 5 (30 enodes) 1546683979.275 * * [misc]simplify: iters left: 4 (41 enodes) 1546683979.282 * * [misc]simplify: iters left: 3 (76 enodes) 1546683979.295 * * [misc]simplify: iters left: 2 (142 enodes) 1546683979.361 * * [misc]simplify: iters left: 1 (391 enodes) 1546683979.655 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683979.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683979.655 * * * * [misc]progress: [ 185 / 266 ] simplifiying candidate # 1546683979.655 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683979.656 * * [misc]simplify: iters left: 6 (11 enodes) 1546683979.659 * * [misc]simplify: iters left: 5 (17 enodes) 1546683979.663 * * [misc]simplify: iters left: 4 (20 enodes) 1546683979.668 * * [misc]simplify: iters left: 3 (22 enodes) 1546683979.675 * * [misc]simplify: iters left: 2 (34 enodes) 1546683979.684 * * [misc]simplify: iters left: 1 (42 enodes) 1546683979.693 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546683979.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683979.694 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683979.694 * * [misc]simplify: iters left: 6 (18 enodes) 1546683979.700 * * [misc]simplify: iters left: 5 (30 enodes) 1546683979.709 * * [misc]simplify: iters left: 4 (41 enodes) 1546683979.722 * * [misc]simplify: iters left: 3 (76 enodes) 1546683979.749 * * [misc]simplify: iters left: 2 (142 enodes) 1546683979.812 * * [misc]simplify: iters left: 1 (391 enodes) 1546683980.055 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683980.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683980.055 * * * * [misc]progress: [ 186 / 266 ] simplifiying candidate # 1546683980.055 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683980.055 * * [misc]simplify: iters left: 6 (12 enodes) 1546683980.057 * * [misc]simplify: iters left: 5 (18 enodes) 1546683980.060 * * [misc]simplify: iters left: 4 (24 enodes) 1546683980.064 * * [misc]simplify: iters left: 3 (32 enodes) 1546683980.069 * * [misc]simplify: iters left: 2 (41 enodes) 1546683980.074 * * [misc]simplify: iters left: 1 (51 enodes) 1546683980.080 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683980.080 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683980.080 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683980.081 * * [misc]simplify: iters left: 6 (15 enodes) 1546683980.086 * * [misc]simplify: iters left: 5 (25 enodes) 1546683980.090 * * [misc]simplify: iters left: 4 (38 enodes) 1546683980.096 * * [misc]simplify: iters left: 3 (73 enodes) 1546683980.109 * * [misc]simplify: iters left: 2 (139 enodes) 1546683980.185 * * [misc]simplify: iters left: 1 (375 enodes) 1546683980.387 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546683980.387 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1546683980.387 * * * * [misc]progress: [ 187 / 266 ] simplifiying candidate # 1546683980.387 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683980.387 * * [misc]simplify: iters left: 6 (15 enodes) 1546683980.392 * * [misc]simplify: iters left: 5 (24 enodes) 1546683980.399 * * [misc]simplify: iters left: 4 (32 enodes) 1546683980.408 * * [misc]simplify: iters left: 3 (43 enodes) 1546683980.418 * * [misc]simplify: iters left: 2 (69 enodes) 1546683980.429 * * [misc]simplify: iters left: 1 (119 enodes) 1546683980.463 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683980.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683980.464 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683980.464 * * [misc]simplify: iters left: 6 (18 enodes) 1546683980.467 * * [misc]simplify: iters left: 5 (29 enodes) 1546683980.471 * * [misc]simplify: iters left: 4 (42 enodes) 1546683980.478 * * [misc]simplify: iters left: 3 (77 enodes) 1546683980.493 * * [misc]simplify: iters left: 2 (143 enodes) 1546683980.577 * * [misc]simplify: iters left: 1 (394 enodes) 1546683980.825 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546683980.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683980.825 * * * * [misc]progress: [ 188 / 266 ] simplifiying candidate # 1546683980.826 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683980.826 * * [misc]simplify: iters left: 6 (14 enodes) 1546683980.830 * * [misc]simplify: iters left: 5 (21 enodes) 1546683980.836 * * [misc]simplify: iters left: 4 (27 enodes) 1546683980.844 * * [misc]simplify: iters left: 3 (35 enodes) 1546683980.854 * * [misc]simplify: iters left: 2 (43 enodes) 1546683980.864 * * [misc]simplify: iters left: 1 (56 enodes) 1546683980.878 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683980.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683980.879 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683980.879 * * [misc]simplify: iters left: 6 (18 enodes) 1546683980.885 * * [misc]simplify: iters left: 5 (29 enodes) 1546683980.893 * * [misc]simplify: iters left: 4 (42 enodes) 1546683980.907 * * [misc]simplify: iters left: 3 (77 enodes) 1546683980.932 * * [misc]simplify: iters left: 2 (143 enodes) 1546683981.029 * * [misc]simplify: iters left: 1 (394 enodes) 1546683981.273 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546683981.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683981.273 * * * * [misc]progress: [ 189 / 266 ] simplifiying candidate # 1546683981.274 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546683981.274 * * [misc]simplify: iters left: 6 (6 enodes) 1546683981.276 * * [misc]simplify: iters left: 5 (10 enodes) 1546683981.278 * * [misc]simplify: iters left: 4 (16 enodes) 1546683981.279 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546683981.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683981.279 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683981.280 * * [misc]simplify: iters left: 6 (17 enodes) 1546683981.283 * * [misc]simplify: iters left: 5 (28 enodes) 1546683981.286 * * [misc]simplify: iters left: 4 (41 enodes) 1546683981.293 * * [misc]simplify: iters left: 3 (76 enodes) 1546683981.308 * * [misc]simplify: iters left: 2 (142 enodes) 1546683981.369 * * [misc]simplify: iters left: 1 (380 enodes) 1546683982.028 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546683982.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1546683982.028 * * * * [misc]progress: [ 190 / 266 ] simplifiying candidate # 1546683982.028 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546683982.028 * * [misc]simplify: iters left: 6 (8 enodes) 1546683982.030 * * [misc]simplify: iters left: 5 (14 enodes) 1546683982.032 * * [misc]simplify: iters left: 4 (15 enodes) 1546683982.034 * * [misc]simplify: iters left: 3 (19 enodes) 1546683982.036 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546683982.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683982.036 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683982.036 * * [misc]simplify: iters left: 6 (17 enodes) 1546683982.039 * * [misc]simplify: iters left: 5 (29 enodes) 1546683982.043 * * [misc]simplify: iters left: 4 (40 enodes) 1546683982.050 * * [misc]simplify: iters left: 3 (75 enodes) 1546683982.063 * * [misc]simplify: iters left: 2 (141 enodes) 1546683982.144 * * [misc]simplify: iters left: 1 (379 enodes) 1546683982.400 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683982.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683982.401 * * * * [misc]progress: [ 191 / 266 ] simplifiying candidate # 1546683982.401 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546683982.401 * * [misc]simplify: iters left: 6 (8 enodes) 1546683982.404 * * [misc]simplify: iters left: 5 (14 enodes) 1546683982.408 * * [misc]simplify: iters left: 4 (15 enodes) 1546683982.412 * * [misc]simplify: iters left: 3 (19 enodes) 1546683982.417 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546683982.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683982.417 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683982.417 * * [misc]simplify: iters left: 6 (17 enodes) 1546683982.423 * * [misc]simplify: iters left: 5 (29 enodes) 1546683982.431 * * [misc]simplify: iters left: 4 (40 enodes) 1546683982.444 * * [misc]simplify: iters left: 3 (75 enodes) 1546683982.469 * * [misc]simplify: iters left: 2 (141 enodes) 1546683982.526 * * [misc]simplify: iters left: 1 (379 enodes) 1546683982.818 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683982.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683982.818 * * * * [misc]progress: [ 192 / 266 ] simplifiying candidate # 1546683982.818 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546683982.818 * * [misc]simplify: iters left: 6 (10 enodes) 1546683982.820 * * [misc]simplify: iters left: 5 (16 enodes) 1546683982.822 * * [misc]simplify: iters left: 4 (20 enodes) 1546683982.825 * * [misc]simplify: iters left: 3 (24 enodes) 1546683982.828 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546683982.828 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683982.829 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683982.829 * * [misc]simplify: iters left: 6 (14 enodes) 1546683982.831 * * [misc]simplify: iters left: 5 (24 enodes) 1546683982.835 * * [misc]simplify: iters left: 4 (37 enodes) 1546683982.843 * * [misc]simplify: iters left: 3 (72 enodes) 1546683982.855 * * [misc]simplify: iters left: 2 (138 enodes) 1546683982.902 * * [misc]simplify: iters left: 1 (391 enodes) 1546683983.173 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546683983.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1546683983.173 * * * * [misc]progress: [ 193 / 266 ] simplifiying candidate # 1546683983.173 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683983.174 * * [misc]simplify: iters left: 6 (13 enodes) 1546683983.176 * * [misc]simplify: iters left: 5 (22 enodes) 1546683983.181 * * [misc]simplify: iters left: 4 (26 enodes) 1546683983.185 * * [misc]simplify: iters left: 3 (32 enodes) 1546683983.188 * * [misc]simplify: iters left: 2 (34 enodes) 1546683983.193 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683983.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683983.193 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683983.194 * * [misc]simplify: iters left: 6 (17 enodes) 1546683983.200 * * [misc]simplify: iters left: 5 (28 enodes) 1546683983.208 * * [misc]simplify: iters left: 4 (41 enodes) 1546683983.218 * * [misc]simplify: iters left: 3 (76 enodes) 1546683983.232 * * [misc]simplify: iters left: 2 (142 enodes) 1546683983.285 * * [misc]simplify: iters left: 1 (382 enodes) 1546683983.605 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546683983.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1546683983.605 * * * * [misc]progress: [ 194 / 266 ] simplifiying candidate # 1546683983.605 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683983.606 * * [misc]simplify: iters left: 6 (12 enodes) 1546683983.611 * * [misc]simplify: iters left: 5 (19 enodes) 1546683983.616 * * [misc]simplify: iters left: 4 (23 enodes) 1546683983.622 * * [misc]simplify: iters left: 3 (27 enodes) 1546683983.629 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546683983.629 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683983.629 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683983.629 * * [misc]simplify: iters left: 6 (17 enodes) 1546683983.635 * * [misc]simplify: iters left: 5 (28 enodes) 1546683983.643 * * [misc]simplify: iters left: 4 (41 enodes) 1546683983.654 * * [misc]simplify: iters left: 3 (76 enodes) 1546683983.667 * * [misc]simplify: iters left: 2 (142 enodes) 1546683983.727 * * [misc]simplify: iters left: 1 (382 enodes) 1546683984.023 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546683984.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1546683984.023 * * * * [misc]progress: [ 195 / 266 ] simplifiying candidate # 1546683984.023 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546683984.023 * * [misc]simplify: iters left: 4 (3 enodes) 1546683984.024 * * [misc]simplify: iters left: 3 (5 enodes) 1546683984.024 * [exit]simplify: Simplified to 1 1546683984.024 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683984.024 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683984.024 * * [misc]simplify: iters left: 6 (16 enodes) 1546683984.027 * * [misc]simplify: iters left: 5 (27 enodes) 1546683984.031 * * [misc]simplify: iters left: 4 (40 enodes) 1546683984.038 * * [misc]simplify: iters left: 3 (75 enodes) 1546683984.050 * * [misc]simplify: iters left: 2 (141 enodes) 1546683984.127 * * [misc]simplify: iters left: 1 (376 enodes) 1546683984.431 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546683984.431 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1546683984.431 * * * * [misc]progress: [ 196 / 266 ] simplifiying candidate # 1546683984.431 * [enter]simplify: Simplifying (/ 1 1) 1546683984.431 * * [misc]simplify: iters left: 2 (2 enodes) 1546683984.432 * * [misc]simplify: iters left: 1 (4 enodes) 1546683984.432 * [exit]simplify: Simplified to 1 1546683984.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683984.432 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683984.432 * * [misc]simplify: iters left: 6 (16 enodes) 1546683984.435 * * [misc]simplify: iters left: 5 (27 enodes) 1546683984.439 * * [misc]simplify: iters left: 4 (40 enodes) 1546683984.446 * * [misc]simplify: iters left: 3 (75 enodes) 1546683984.459 * * [misc]simplify: iters left: 2 (141 enodes) 1546683984.548 * * [misc]simplify: iters left: 1 (376 enodes) 1546683984.765 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546683984.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1546683984.765 * * * * [misc]progress: [ 197 / 266 ] simplifiying candidate # 1546683984.765 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546683984.765 * * [misc]simplify: iters left: 3 (4 enodes) 1546683984.766 * * [misc]simplify: iters left: 2 (6 enodes) 1546683984.766 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546683984.766 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683984.766 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546683984.767 * * [misc]simplify: iters left: 6 (15 enodes) 1546683984.769 * * [misc]simplify: iters left: 5 (26 enodes) 1546683984.773 * * [misc]simplify: iters left: 4 (35 enodes) 1546683984.779 * * [misc]simplify: iters left: 3 (61 enodes) 1546683984.789 * * [misc]simplify: iters left: 2 (82 enodes) 1546683984.807 * * [misc]simplify: iters left: 1 (85 enodes) 1546683984.820 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546683984.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1546683984.820 * * * * [misc]progress: [ 198 / 266 ] simplifiying candidate # 1546683984.821 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546683984.821 * * [misc]simplify: iters left: 6 (10 enodes) 1546683984.822 * * [misc]simplify: iters left: 5 (16 enodes) 1546683984.824 * * [misc]simplify: iters left: 4 (19 enodes) 1546683984.827 * * [misc]simplify: iters left: 3 (21 enodes) 1546683984.830 * * [misc]simplify: iters left: 2 (33 enodes) 1546683984.834 * * [misc]simplify: iters left: 1 (41 enodes) 1546683984.841 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546683984.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1546683984.842 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546683984.842 * * [misc]simplify: iters left: 6 (14 enodes) 1546683984.847 * * [misc]simplify: iters left: 5 (23 enodes) 1546683984.853 * * [misc]simplify: iters left: 4 (30 enodes) 1546683984.862 * * [misc]simplify: iters left: 3 (42 enodes) 1546683984.868 * * [misc]simplify: iters left: 2 (67 enodes) 1546683984.879 * * [misc]simplify: iters left: 1 (88 enodes) 1546683984.894 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546683984.894 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1546683984.894 * * * * [misc]progress: [ 199 / 266 ] simplifiying candidate # 1546683984.894 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683984.895 * * [misc]simplify: iters left: 6 (15 enodes) 1546683984.900 * * [misc]simplify: iters left: 5 (22 enodes) 1546683984.905 * * [misc]simplify: iters left: 4 (25 enodes) 1546683984.908 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683984.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683984.908 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683984.908 * * [misc]simplify: iters left: 6 (14 enodes) 1546683984.910 * * [misc]simplify: iters left: 5 (17 enodes) 1546683984.913 * * [misc]simplify: iters left: 4 (20 enodes) 1546683984.915 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683984.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683984.915 * * * * [misc]progress: [ 200 / 266 ] simplifiying candidate # 1546683984.916 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683984.916 * * [misc]simplify: iters left: 6 (14 enodes) 1546683984.918 * * [misc]simplify: iters left: 5 (19 enodes) 1546683984.920 * * [misc]simplify: iters left: 4 (22 enodes) 1546683984.923 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683984.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683984.923 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683984.923 * * [misc]simplify: iters left: 6 (14 enodes) 1546683984.925 * * [misc]simplify: iters left: 5 (17 enodes) 1546683984.928 * * [misc]simplify: iters left: 4 (20 enodes) 1546683984.931 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683984.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683984.931 * * * * [misc]progress: [ 201 / 266 ] simplifiying candidate # 1546683984.931 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683984.931 * * [misc]simplify: iters left: 6 (13 enodes) 1546683984.933 * * [misc]simplify: iters left: 5 (21 enodes) 1546683984.936 * * [misc]simplify: iters left: 4 (28 enodes) 1546683984.940 * * [misc]simplify: iters left: 3 (36 enodes) 1546683984.945 * * [misc]simplify: iters left: 2 (62 enodes) 1546683984.955 * * [misc]simplify: iters left: 1 (94 enodes) 1546683984.972 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546683984.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683984.972 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683984.972 * * [misc]simplify: iters left: 6 (15 enodes) 1546683984.974 * * [misc]simplify: iters left: 5 (21 enodes) 1546683984.977 * * [misc]simplify: iters left: 4 (25 enodes) 1546683984.981 * * [misc]simplify: iters left: 3 (27 enodes) 1546683984.984 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683984.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683984.985 * * * * [misc]progress: [ 202 / 266 ] simplifiying candidate # 1546683984.985 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546683984.985 * * [misc]simplify: iters left: 6 (13 enodes) 1546683984.987 * * [misc]simplify: iters left: 5 (21 enodes) 1546683984.990 * * [misc]simplify: iters left: 4 (28 enodes) 1546683984.994 * * [misc]simplify: iters left: 3 (36 enodes) 1546683985.001 * * [misc]simplify: iters left: 2 (62 enodes) 1546683985.010 * * [misc]simplify: iters left: 1 (94 enodes) 1546683985.026 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546683985.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683985.027 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683985.027 * * [misc]simplify: iters left: 6 (15 enodes) 1546683985.029 * * [misc]simplify: iters left: 5 (21 enodes) 1546683985.032 * * [misc]simplify: iters left: 4 (25 enodes) 1546683985.035 * * [misc]simplify: iters left: 3 (27 enodes) 1546683985.041 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683985.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683985.042 * * * * [misc]progress: [ 203 / 266 ] simplifiying candidate # 1546683985.042 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546683985.042 * * [misc]simplify: iters left: 6 (14 enodes) 1546683985.046 * * [misc]simplify: iters left: 5 (22 enodes) 1546683985.052 * * [misc]simplify: iters left: 4 (32 enodes) 1546683985.057 * * [misc]simplify: iters left: 3 (55 enodes) 1546683985.066 * * [misc]simplify: iters left: 2 (97 enodes) 1546683985.082 * * [misc]simplify: iters left: 1 (209 enodes) 1546683985.183 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683985.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683985.183 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683985.183 * * [misc]simplify: iters left: 6 (12 enodes) 1546683985.187 * * [misc]simplify: iters left: 5 (16 enodes) 1546683985.191 * * [misc]simplify: iters left: 4 (22 enodes) 1546683985.197 * * [misc]simplify: iters left: 3 (24 enodes) 1546683985.204 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546683985.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1546683985.204 * * * * [misc]progress: [ 204 / 266 ] simplifiying candidate # 1546683985.204 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683985.205 * * [misc]simplify: iters left: 6 (17 enodes) 1546683985.210 * * [misc]simplify: iters left: 5 (30 enodes) 1546683985.219 * * [misc]simplify: iters left: 4 (51 enodes) 1546683985.235 * * [misc]simplify: iters left: 3 (67 enodes) 1546683985.258 * * [misc]simplify: iters left: 2 (156 enodes) 1546683985.324 * * [misc]simplify: iters left: 1 (456 enodes) 1546683985.657 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546683985.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683985.657 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683985.658 * * [misc]simplify: iters left: 6 (15 enodes) 1546683985.662 * * [misc]simplify: iters left: 5 (20 enodes) 1546683985.668 * * [misc]simplify: iters left: 4 (26 enodes) 1546683985.673 * * [misc]simplify: iters left: 3 (28 enodes) 1546683985.683 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683985.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683985.684 * * * * [misc]progress: [ 205 / 266 ] simplifiying candidate # 1546683985.684 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683985.684 * * [misc]simplify: iters left: 6 (16 enodes) 1546683985.689 * * [misc]simplify: iters left: 5 (25 enodes) 1546683985.696 * * [misc]simplify: iters left: 4 (35 enodes) 1546683985.706 * * [misc]simplify: iters left: 3 (58 enodes) 1546683985.722 * * [misc]simplify: iters left: 2 (99 enodes) 1546683985.737 * * [misc]simplify: iters left: 1 (192 enodes) 1546683985.782 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546683985.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683985.783 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683985.783 * * [misc]simplify: iters left: 6 (15 enodes) 1546683985.786 * * [misc]simplify: iters left: 5 (20 enodes) 1546683985.791 * * [misc]simplify: iters left: 4 (26 enodes) 1546683985.798 * * [misc]simplify: iters left: 3 (28 enodes) 1546683985.805 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683985.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683985.805 * * * * [misc]progress: [ 206 / 266 ] simplifiying candidate # 1546683985.806 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546683985.806 * * [misc]simplify: iters left: 6 (8 enodes) 1546683985.809 * * [misc]simplify: iters left: 5 (14 enodes) 1546683985.813 * * [misc]simplify: iters left: 4 (25 enodes) 1546683985.819 * * [misc]simplify: iters left: 3 (29 enodes) 1546683985.825 * * [misc]simplify: iters left: 2 (45 enodes) 1546683985.836 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546683985.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683985.837 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683985.837 * * [misc]simplify: iters left: 6 (14 enodes) 1546683985.839 * * [misc]simplify: iters left: 5 (19 enodes) 1546683985.842 * * [misc]simplify: iters left: 4 (25 enodes) 1546683985.845 * * [misc]simplify: iters left: 3 (27 enodes) 1546683985.848 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546683985.848 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683985.849 * * * * [misc]progress: [ 207 / 266 ] simplifiying candidate # 1546683985.849 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683985.849 * * [misc]simplify: iters left: 6 (12 enodes) 1546683985.851 * * [misc]simplify: iters left: 5 (18 enodes) 1546683985.853 * * [misc]simplify: iters left: 4 (21 enodes) 1546683985.855 * * [misc]simplify: iters left: 3 (23 enodes) 1546683985.860 * * [misc]simplify: iters left: 2 (35 enodes) 1546683985.864 * * [misc]simplify: iters left: 1 (43 enodes) 1546683985.869 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546683985.869 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683985.869 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683985.869 * * [misc]simplify: iters left: 6 (15 enodes) 1546683985.871 * * [misc]simplify: iters left: 5 (21 enodes) 1546683985.874 * * [misc]simplify: iters left: 4 (25 enodes) 1546683985.879 * * [misc]simplify: iters left: 3 (27 enodes) 1546683985.887 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683985.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683985.887 * * * * [misc]progress: [ 208 / 266 ] simplifiying candidate # 1546683985.888 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546683985.888 * * [misc]simplify: iters left: 6 (12 enodes) 1546683985.892 * * [misc]simplify: iters left: 5 (18 enodes) 1546683985.896 * * [misc]simplify: iters left: 4 (21 enodes) 1546683985.902 * * [misc]simplify: iters left: 3 (23 enodes) 1546683985.906 * * [misc]simplify: iters left: 2 (35 enodes) 1546683985.910 * * [misc]simplify: iters left: 1 (43 enodes) 1546683985.914 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546683985.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1546683985.914 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546683985.915 * * [misc]simplify: iters left: 6 (15 enodes) 1546683985.917 * * [misc]simplify: iters left: 5 (21 enodes) 1546683985.920 * * [misc]simplify: iters left: 4 (25 enodes) 1546683985.923 * * [misc]simplify: iters left: 3 (27 enodes) 1546683985.926 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546683985.926 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1546683985.926 * * * * [misc]progress: [ 209 / 266 ] simplifiying candidate # 1546683985.927 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546683985.927 * * [misc]simplify: iters left: 6 (13 enodes) 1546683985.928 * * [misc]simplify: iters left: 5 (19 enodes) 1546683985.931 * * [misc]simplify: iters left: 4 (25 enodes) 1546683985.934 * * [misc]simplify: iters left: 3 (34 enodes) 1546683985.939 * * [misc]simplify: iters left: 2 (44 enodes) 1546683985.944 * * [misc]simplify: iters left: 1 (59 enodes) 1546683985.958 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546683985.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546683985.959 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546683985.959 * * [misc]simplify: iters left: 6 (12 enodes) 1546683985.962 * * [misc]simplify: iters left: 5 (16 enodes) 1546683985.967 * * [misc]simplify: iters left: 4 (22 enodes) 1546683985.973 * * [misc]simplify: iters left: 3 (24 enodes) 1546683985.980 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546683985.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1546683985.980 * * * * [misc]progress: [ 210 / 266 ] simplifiying candidate # 1546683985.980 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683985.980 * * [misc]simplify: iters left: 6 (16 enodes) 1546683985.985 * * [misc]simplify: iters left: 5 (25 enodes) 1546683985.990 * * [misc]simplify: iters left: 4 (33 enodes) 1546683985.994 * * [misc]simplify: iters left: 3 (41 enodes) 1546683986.001 * * [misc]simplify: iters left: 2 (64 enodes) 1546683986.011 * * [misc]simplify: iters left: 1 (95 enodes) 1546683986.025 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546683986.025 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683986.025 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.025 * * [misc]simplify: iters left: 6 (15 enodes) 1546683986.027 * * [misc]simplify: iters left: 5 (20 enodes) 1546683986.033 * * [misc]simplify: iters left: 4 (26 enodes) 1546683986.040 * * [misc]simplify: iters left: 3 (28 enodes) 1546683986.048 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683986.048 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683986.048 * * * * [misc]progress: [ 211 / 266 ] simplifiying candidate # 1546683986.048 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.048 * * [misc]simplify: iters left: 6 (15 enodes) 1546683986.054 * * [misc]simplify: iters left: 5 (22 enodes) 1546683986.061 * * [misc]simplify: iters left: 4 (28 enodes) 1546683986.068 * * [misc]simplify: iters left: 3 (37 enodes) 1546683986.079 * * [misc]simplify: iters left: 2 (47 enodes) 1546683986.085 * * [misc]simplify: iters left: 1 (62 enodes) 1546683986.093 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546683986.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683986.093 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.093 * * [misc]simplify: iters left: 6 (15 enodes) 1546683986.096 * * [misc]simplify: iters left: 5 (20 enodes) 1546683986.098 * * [misc]simplify: iters left: 4 (26 enodes) 1546683986.102 * * [misc]simplify: iters left: 3 (28 enodes) 1546683986.106 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546683986.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546683986.106 * * * * [misc]progress: [ 212 / 266 ] simplifiying candidate # 1546683986.106 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1546683986.106 * * [misc]simplify: iters left: 6 (7 enodes) 1546683986.107 * * [misc]simplify: iters left: 5 (11 enodes) 1546683986.109 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.111 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546683986.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.111 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.111 * * [misc]simplify: iters left: 6 (14 enodes) 1546683986.113 * * [misc]simplify: iters left: 5 (19 enodes) 1546683986.116 * * [misc]simplify: iters left: 4 (25 enodes) 1546683986.119 * * [misc]simplify: iters left: 3 (27 enodes) 1546683986.123 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546683986.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683986.123 * * * * [misc]progress: [ 213 / 266 ] simplifiying candidate # 1546683986.123 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546683986.123 * * [misc]simplify: iters left: 6 (9 enodes) 1546683986.127 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.130 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546683986.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683986.131 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683986.131 * * [misc]simplify: iters left: 6 (14 enodes) 1546683986.133 * * [misc]simplify: iters left: 5 (20 enodes) 1546683986.136 * * [misc]simplify: iters left: 4 (24 enodes) 1546683986.139 * * [misc]simplify: iters left: 3 (26 enodes) 1546683986.142 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683986.142 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683986.143 * * * * [misc]progress: [ 214 / 266 ] simplifiying candidate # 1546683986.143 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546683986.143 * * [misc]simplify: iters left: 6 (9 enodes) 1546683986.146 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.147 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546683986.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1546683986.148 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546683986.148 * * [misc]simplify: iters left: 6 (14 enodes) 1546683986.150 * * [misc]simplify: iters left: 5 (20 enodes) 1546683986.153 * * [misc]simplify: iters left: 4 (24 enodes) 1546683986.156 * * [misc]simplify: iters left: 3 (26 enodes) 1546683986.160 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683986.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683986.160 * * * * [misc]progress: [ 215 / 266 ] simplifiying candidate # 1546683986.160 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546683986.160 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.165 * * [misc]simplify: iters left: 5 (17 enodes) 1546683986.169 * * [misc]simplify: iters left: 4 (20 enodes) 1546683986.175 * * [misc]simplify: iters left: 3 (24 enodes) 1546683986.180 * * [misc]simplify: iters left: 2 (26 enodes) 1546683986.186 * * [misc]simplify: iters left: 1 (28 enodes) 1546683986.194 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546683986.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683986.194 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683986.194 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.198 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.202 * * [misc]simplify: iters left: 4 (21 enodes) 1546683986.208 * * [misc]simplify: iters left: 3 (23 enodes) 1546683986.215 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546683986.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546683986.215 * * * * [misc]progress: [ 216 / 266 ] simplifiying candidate # 1546683986.215 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.216 * * [misc]simplify: iters left: 6 (14 enodes) 1546683986.221 * * [misc]simplify: iters left: 5 (23 enodes) 1546683986.227 * * [misc]simplify: iters left: 4 (26 enodes) 1546683986.234 * * [misc]simplify: iters left: 3 (31 enodes) 1546683986.241 * * [misc]simplify: iters left: 2 (34 enodes) 1546683986.249 * * [misc]simplify: iters left: 1 (48 enodes) 1546683986.262 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683986.263 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.263 * * [misc]simplify: iters left: 6 (14 enodes) 1546683986.267 * * [misc]simplify: iters left: 5 (19 enodes) 1546683986.272 * * [misc]simplify: iters left: 4 (25 enodes) 1546683986.280 * * [misc]simplify: iters left: 3 (27 enodes) 1546683986.285 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.286 * * * * [misc]progress: [ 217 / 266 ] simplifiying candidate # 1546683986.286 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.286 * * [misc]simplify: iters left: 6 (13 enodes) 1546683986.288 * * [misc]simplify: iters left: 5 (20 enodes) 1546683986.291 * * [misc]simplify: iters left: 4 (23 enodes) 1546683986.294 * * [misc]simplify: iters left: 3 (27 enodes) 1546683986.296 * * [misc]simplify: iters left: 2 (29 enodes) 1546683986.300 * * [misc]simplify: iters left: 1 (31 enodes) 1546683986.303 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.303 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546683986.304 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.304 * * [misc]simplify: iters left: 6 (14 enodes) 1546683986.306 * * [misc]simplify: iters left: 5 (19 enodes) 1546683986.308 * * [misc]simplify: iters left: 4 (25 enodes) 1546683986.312 * * [misc]simplify: iters left: 3 (27 enodes) 1546683986.316 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.316 * * * * [misc]progress: [ 218 / 266 ] simplifiying candidate # 1546683986.316 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1546683986.316 * * [misc]simplify: iters left: 4 (3 enodes) 1546683986.316 * * [misc]simplify: iters left: 3 (5 enodes) 1546683986.317 * [exit]simplify: Simplified to 1 1546683986.317 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.317 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.317 * * [misc]simplify: iters left: 6 (13 enodes) 1546683986.319 * * [misc]simplify: iters left: 5 (18 enodes) 1546683986.321 * * [misc]simplify: iters left: 4 (24 enodes) 1546683986.325 * * [misc]simplify: iters left: 3 (26 enodes) 1546683986.328 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683986.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683986.328 * * * * [misc]progress: [ 219 / 266 ] simplifiying candidate # 1546683986.328 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1546683986.328 * * [misc]simplify: iters left: 4 (3 enodes) 1546683986.329 * * [misc]simplify: iters left: 3 (5 enodes) 1546683986.329 * [exit]simplify: Simplified to 1 1546683986.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.329 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.329 * * [misc]simplify: iters left: 6 (13 enodes) 1546683986.331 * * [misc]simplify: iters left: 5 (18 enodes) 1546683986.333 * * [misc]simplify: iters left: 4 (24 enodes) 1546683986.337 * * [misc]simplify: iters left: 3 (26 enodes) 1546683986.340 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546683986.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1546683986.340 * * * * [misc]progress: [ 220 / 266 ] simplifiying candidate # 1546683986.341 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1546683986.341 * * [misc]simplify: iters left: 4 (5 enodes) 1546683986.341 * * [misc]simplify: iters left: 3 (7 enodes) 1546683986.342 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546683986.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.342 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.342 * * [misc]simplify: iters left: 6 (13 enodes) 1546683986.344 * * [misc]simplify: iters left: 5 (20 enodes) 1546683986.347 * * [misc]simplify: iters left: 4 (26 enodes) 1546683986.351 * * [misc]simplify: iters left: 3 (36 enodes) 1546683986.355 * * [misc]simplify: iters left: 2 (38 enodes) 1546683986.363 * * [misc]simplify: iters left: 1 (43 enodes) 1546683986.373 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546683986.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1546683986.373 * * * * [misc]progress: [ 221 / 266 ] simplifiying candidate # 1546683986.373 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1546683986.374 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.377 * * [misc]simplify: iters left: 5 (17 enodes) 1546683986.381 * * [misc]simplify: iters left: 4 (20 enodes) 1546683986.385 * * [misc]simplify: iters left: 3 (22 enodes) 1546683986.388 * * [misc]simplify: iters left: 2 (34 enodes) 1546683986.392 * * [misc]simplify: iters left: 1 (42 enodes) 1546683986.396 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546683986.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1546683986.396 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1546683986.396 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.398 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.399 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.402 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546683986.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1546683986.402 * * * * [misc]progress: [ 222 / 266 ] simplifiying candidate # 1546683986.402 * * * * [misc]progress: [ 223 / 266 ] simplifiying candidate # 1546683986.402 * * * * [misc]progress: [ 224 / 266 ] simplifiying candidate # 1546683986.402 * * * * [misc]progress: [ 225 / 266 ] simplifiying candidate # 1546683986.402 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.402 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.404 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.406 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.408 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.408 * * * * [misc]progress: [ 226 / 266 ] simplifiying candidate # 1546683986.408 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.408 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.410 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.412 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.414 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.414 * * * * [misc]progress: [ 227 / 266 ] simplifiying candidate # 1546683986.414 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683986.414 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.416 * * [misc]simplify: iters left: 5 (13 enodes) 1546683986.417 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683986.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1546683986.417 * * * * [misc]progress: [ 228 / 266 ] simplifiying candidate # 1546683986.418 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683986.418 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.419 * * [misc]simplify: iters left: 5 (13 enodes) 1546683986.423 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683986.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1546683986.423 * * * * [misc]progress: [ 229 / 266 ] simplifiying candidate # 1546683986.424 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683986.424 * * [misc]simplify: iters left: 6 (9 enodes) 1546683986.426 * * [misc]simplify: iters left: 5 (11 enodes) 1546683986.430 * * [misc]simplify: iters left: 4 (14 enodes) 1546683986.434 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683986.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1546683986.434 * * * * [misc]progress: [ 230 / 266 ] simplifiying candidate # 1546683986.435 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.435 * * [misc]simplify: iters left: 6 (12 enodes) 1546683986.438 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.443 * * [misc]simplify: iters left: 4 (18 enodes) 1546683986.448 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.448 * * * * [misc]progress: [ 231 / 266 ] simplifiying candidate # 1546683986.449 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.449 * * [misc]simplify: iters left: 6 (12 enodes) 1546683986.452 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.454 * * [misc]simplify: iters left: 4 (18 enodes) 1546683986.456 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.456 * * * * [misc]progress: [ 232 / 266 ] simplifiying candidate # 1546683986.457 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.457 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.458 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.462 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.464 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.464 * * * * [misc]progress: [ 233 / 266 ] simplifiying candidate # 1546683986.464 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683986.464 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.466 * * [misc]simplify: iters left: 5 (13 enodes) 1546683986.467 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683986.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1546683986.468 * * * * [misc]progress: [ 234 / 266 ] simplifiying candidate # 1546683986.468 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546683986.468 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.469 * * [misc]simplify: iters left: 5 (13 enodes) 1546683986.471 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546683986.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1546683986.471 * * * * [misc]progress: [ 235 / 266 ] simplifiying candidate # 1546683986.471 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683986.471 * * [misc]simplify: iters left: 6 (9 enodes) 1546683986.472 * * [misc]simplify: iters left: 5 (11 enodes) 1546683986.474 * * [misc]simplify: iters left: 4 (14 enodes) 1546683986.476 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546683986.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1546683986.476 * * * * [misc]progress: [ 236 / 266 ] simplifiying candidate # 1546683986.476 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.476 * * [misc]simplify: iters left: 6 (12 enodes) 1546683986.478 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.480 * * [misc]simplify: iters left: 4 (18 enodes) 1546683986.482 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.482 * * * * [misc]progress: [ 237 / 266 ] simplifiying candidate # 1546683986.483 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.483 * * [misc]simplify: iters left: 6 (12 enodes) 1546683986.484 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.486 * * [misc]simplify: iters left: 4 (18 enodes) 1546683986.489 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.489 * * * * [misc]progress: [ 238 / 266 ] simplifiying candidate # 1546683986.489 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.489 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.491 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.492 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.495 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.495 * * * * [misc]progress: [ 239 / 266 ] simplifiying candidate # 1546683986.495 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546683986.495 * * [misc]simplify: iters left: 6 (9 enodes) 1546683986.496 * * [misc]simplify: iters left: 5 (12 enodes) 1546683986.498 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546683986.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1546683986.498 * * * * [misc]progress: [ 240 / 266 ] simplifiying candidate # 1546683986.498 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546683986.498 * * [misc]simplify: iters left: 6 (9 enodes) 1546683986.500 * * [misc]simplify: iters left: 5 (12 enodes) 1546683986.503 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546683986.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1546683986.503 * * * * [misc]progress: [ 241 / 266 ] simplifiying candidate # 1546683986.503 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546683986.504 * * [misc]simplify: iters left: 6 (8 enodes) 1546683986.506 * * [misc]simplify: iters left: 5 (10 enodes) 1546683986.509 * * [misc]simplify: iters left: 4 (13 enodes) 1546683986.512 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546683986.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1546683986.513 * * * * [misc]progress: [ 242 / 266 ] simplifiying candidate # 1546683986.513 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.513 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.516 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.520 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.525 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.525 * * * * [misc]progress: [ 243 / 266 ] simplifiying candidate # 1546683986.525 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.526 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.529 * * [misc]simplify: iters left: 5 (14 enodes) 1546683986.532 * * [misc]simplify: iters left: 4 (17 enodes) 1546683986.534 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546683986.534 * * * * [misc]progress: [ 244 / 266 ] simplifiying candidate # 1546683986.535 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.535 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.536 * * [misc]simplify: iters left: 5 (13 enodes) 1546683986.538 * * [misc]simplify: iters left: 4 (16 enodes) 1546683986.540 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.540 * * * * [misc]progress: [ 245 / 266 ] simplifiying candidate # 1546683986.540 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.540 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.542 * * [misc]simplify: iters left: 5 (13 enodes) 1546683986.544 * * [misc]simplify: iters left: 4 (16 enodes) 1546683986.546 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683986.546 * * * * [misc]progress: [ 246 / 266 ] simplifiying candidate # 1546683986.546 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1546683986.546 * * [misc]simplify: iters left: 6 (10 enodes) 1546683986.547 * * [misc]simplify: iters left: 5 (15 enodes) 1546683986.550 * * [misc]simplify: iters left: 4 (18 enodes) 1546683986.552 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1546683986.552 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546683986.552 * * * * [misc]progress: [ 247 / 266 ] simplifiying candidate # 1546683986.552 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546683986.552 * * [misc]simplify: iters left: 3 (6 enodes) 1546683986.553 * * [misc]simplify: iters left: 2 (7 enodes) 1546683986.554 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546683986.554 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1546683986.554 * * * * [misc]progress: [ 248 / 266 ] simplifiying candidate # 1546683986.554 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1546683986.555 * * [misc]simplify: iters left: 6 (12 enodes) 1546683986.557 * * [misc]simplify: iters left: 5 (18 enodes) 1546683986.559 * * [misc]simplify: iters left: 4 (22 enodes) 1546683986.562 * * [misc]simplify: iters left: 3 (26 enodes) 1546683986.567 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546683986.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1546683986.567 * * * * [misc]progress: [ 249 / 266 ] simplifiying candidate # 1546683986.567 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1546683986.568 * * [misc]simplify: iters left: 6 (11 enodes) 1546683986.572 * * [misc]simplify: iters left: 5 (17 enodes) 1546683986.576 * * [misc]simplify: iters left: 4 (21 enodes) 1546683986.582 * * [misc]simplify: iters left: 3 (25 enodes) 1546683986.587 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546683986.587 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1546683986.587 * * * * [misc]progress: [ 250 / 266 ] simplifiying candidate # 1546683986.587 * * * * [misc]progress: [ 251 / 266 ] simplifiying candidate # 1546683986.587 * * * * [misc]progress: [ 252 / 266 ] simplifiying candidate # 1546683986.588 * [enter]simplify: Simplifying (/ 1 1) 1546683986.588 * * [misc]simplify: iters left: 2 (2 enodes) 1546683986.588 * * [misc]simplify: iters left: 1 (4 enodes) 1546683986.589 * [exit]simplify: Simplified to 1 1546683986.589 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1546683986.589 * * * * [misc]progress: [ 253 / 266 ] simplifiying candidate # 1546683986.589 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546683986.589 * * [misc]simplify: iters left: 5 (8 enodes) 1546683986.592 * * [misc]simplify: iters left: 4 (11 enodes) 1546683986.595 * * [misc]simplify: iters left: 3 (14 enodes) 1546683986.599 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546683986.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546683986.599 * * * * [misc]progress: [ 254 / 266 ] simplifiying candidate # 1546683986.599 * * * * [misc]progress: [ 255 / 266 ] simplifiying candidate # 1546683986.600 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1546683986.600 * * [misc]simplify: iters left: 6 (35 enodes) 1546683986.615 * * [misc]simplify: iters left: 5 (102 enodes) 1546683986.645 * * [misc]simplify: iters left: 4 (321 enodes) 1546683986.874 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1546683986.874 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1546683986.874 * * * * [misc]progress: [ 256 / 266 ] simplifiying candidate # 1546683986.874 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546683986.875 * * [misc]simplify: iters left: 6 (13 enodes) 1546683986.880 * * [misc]simplify: iters left: 5 (27 enodes) 1546683986.888 * * [misc]simplify: iters left: 4 (53 enodes) 1546683986.908 * * [misc]simplify: iters left: 3 (124 enodes) 1546683986.974 * * [misc]simplify: iters left: 2 (394 enodes) 1546683987.416 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1546683987.416 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1546683987.416 * * * * [misc]progress: [ 257 / 266 ] simplifiying candidate # 1546683987.416 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546683987.416 * * [misc]simplify: iters left: 6 (13 enodes) 1546683987.421 * * [misc]simplify: iters left: 5 (24 enodes) 1546683987.430 * * [misc]simplify: iters left: 4 (54 enodes) 1546683987.445 * * [misc]simplify: iters left: 3 (151 enodes) 1546683987.513 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1546683987.514 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1546683987.514 * * * * [misc]progress: [ 258 / 266 ] simplifiying candidate # 1546683987.514 * [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)))) 1546683987.514 * * [misc]simplify: iters left: 6 (18 enodes) 1546683987.521 * * [misc]simplify: iters left: 5 (39 enodes) 1546683987.535 * * [misc]simplify: iters left: 4 (110 enodes) 1546683987.571 * * [misc]simplify: iters left: 3 (321 enodes) 1546683987.785 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1546683987.785 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683987.785 * * * * [misc]progress: [ 259 / 266 ] simplifiying candidate # 1546683987.785 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546683987.785 * * [misc]simplify: iters left: 5 (6 enodes) 1546683987.787 * * [misc]simplify: iters left: 4 (9 enodes) 1546683987.789 * * [misc]simplify: iters left: 3 (17 enodes) 1546683987.792 * * [misc]simplify: iters left: 2 (24 enodes) 1546683987.794 * * [misc]simplify: iters left: 1 (28 enodes) 1546683987.800 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546683987.800 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683987.800 * * * * [misc]progress: [ 260 / 266 ] simplifiying candidate # 1546683987.800 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546683987.800 * * [misc]simplify: iters left: 5 (6 enodes) 1546683987.801 * * [misc]simplify: iters left: 4 (9 enodes) 1546683987.803 * * [misc]simplify: iters left: 3 (17 enodes) 1546683987.805 * * [misc]simplify: iters left: 2 (24 enodes) 1546683987.808 * * [misc]simplify: iters left: 1 (28 enodes) 1546683987.813 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1546683987.814 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546683987.814 * * * * [misc]progress: [ 261 / 266 ] simplifiying candidate # 1546683987.814 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1546683987.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546683987.814 * * * * [misc]progress: [ 262 / 266 ] simplifiying candidate # 1546683987.814 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1546683987.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546683987.814 * * * * [misc]progress: [ 263 / 266 ] simplifiying candidate # 1546683987.814 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1546683987.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546683987.814 * * * * [misc]progress: [ 264 / 266 ] simplifiying candidate # 1546683987.814 * [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))))))))))))))) 1546683987.814 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683987.814 * * * * [misc]progress: [ 265 / 266 ] simplifiying candidate # 1546683987.815 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1546683987.815 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683987.815 * * * * [misc]progress: [ 266 / 266 ] simplifiying candidate # 1546683987.815 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546683987.815 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546683987.815 * * * [misc]progress: adding candidates to table 1546683991.314 * [misc]progress: [Phase 3 of 3] Extracting. 1546683991.314 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1546683991.315 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546683991.315 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1546683991.374 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1546683991.422 * * * [misc]regime: Found split indices: #