1544611623.208 * [misc]progress: [Phase 1 of 3] Setting up. 1544611623.208 * * * [misc]progress: [1/2] Preparing points 1544611623.208 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544611623.282 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.283 * * * * [misc]points: Sampling 198 additional inputs, on iter 1 have 58 / 256 1544611623.339 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.339 * * * * [misc]points: Sampling 153 additional inputs, on iter 2 have 103 / 256 1544611623.448 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.448 * * * * [misc]points: Sampling 112 additional inputs, on iter 3 have 144 / 256 1544611623.497 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.497 * * * * [misc]points: Sampling 86 additional inputs, on iter 4 have 170 / 256 1544611623.521 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.521 * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 1544611623.545 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.546 * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 1544611623.606 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.606 * * * * [misc]points: Sampling 31 additional inputs, on iter 7 have 225 / 256 1544611623.619 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.619 * * * * [misc]points: Sampling 23 additional inputs, on iter 8 have 233 / 256 1544611623.627 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.628 * * * * [misc]points: Sampling 16 additional inputs, on iter 9 have 240 / 256 1544611623.634 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.634 * * * * [misc]points: Sampling 12 additional inputs, on iter 10 have 244 / 256 1544611623.642 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.642 * * * * [misc]points: Sampling 10 additional inputs, on iter 11 have 246 / 256 1544611623.647 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.647 * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 1544611623.651 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.651 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 252 / 256 1544611623.654 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.654 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 254 / 256 1544611623.658 * * * * [misc]points: Filtering points with unrepresentable outputs 1544611623.658 * * * * [exit]points: Sampled 256 points with exact outputs 1544611623.658 * * * [misc]progress: [2/2] Setting up program. 1544611623.663 * [misc]progress: [Phase 2 of 3] Improving. 1544611623.663 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544611623.664 * * [misc]simplify: iters left: 6 (13 enodes) 1544611623.668 * * [misc]simplify: iters left: 5 (28 enodes) 1544611623.677 * * [misc]simplify: iters left: 4 (44 enodes) 1544611623.693 * * [misc]simplify: iters left: 3 (54 enodes) 1544611623.731 * * [misc]simplify: iters left: 2 (57 enodes) 1544611623.748 * * [misc]simplify: iters left: 1 (65 enodes) 1544611623.771 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544611623.794 * * [misc]progress: iteration 1 / 4 1544611623.794 * * * [misc]progress: picking best candidate 1544611623.816 * * * * [misc]pick: Picked # 1544611623.816 * * * [misc]progress: localizing error 1544611623.848 * * * [misc]progress: generating rewritten candidates 1544611623.848 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1544611623.877 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1544611623.895 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1544611623.969 * * * [misc]progress: generating series expansions 1544611623.969 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1544611623.970 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544611623.970 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544611623.970 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611623.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.970 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611623.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.970 * [misc]taylor: Taking taylor expansion of k in k 1544611623.970 * [misc]backup-simplify: Simplify 0 into 0 1544611623.970 * [misc]backup-simplify: Simplify 1 into 1 1544611623.970 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of 2 in k 1544611623.970 * [misc]backup-simplify: Simplify 2 into 2 1544611623.970 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611623.970 * [misc]taylor: Taking taylor expansion of n in k 1544611623.970 * [misc]backup-simplify: Simplify n into n 1544611623.970 * [misc]taylor: Taking taylor expansion of PI in k 1544611623.970 * [misc]backup-simplify: Simplify PI into PI 1544611623.970 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611623.970 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611623.970 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611623.971 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611623.971 * [misc]backup-simplify: Simplify (- 0) into 0 1544611623.971 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611623.971 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611623.971 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611623.971 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611623.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.971 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611623.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.971 * [misc]taylor: Taking taylor expansion of k in n 1544611623.971 * [misc]backup-simplify: Simplify k into k 1544611623.971 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of 2 in n 1544611623.971 * [misc]backup-simplify: Simplify 2 into 2 1544611623.971 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611623.971 * [misc]taylor: Taking taylor expansion of n in n 1544611623.971 * [misc]backup-simplify: Simplify 0 into 0 1544611623.971 * [misc]backup-simplify: Simplify 1 into 1 1544611623.971 * [misc]taylor: Taking taylor expansion of PI in n 1544611623.971 * [misc]backup-simplify: Simplify PI into PI 1544611623.972 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611623.972 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611623.972 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611623.973 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611623.973 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611623.973 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611623.973 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611623.973 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611623.974 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611623.974 * [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)))) 1544611623.974 * [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))))) 1544611623.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611623.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611623.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.975 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611623.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.975 * [misc]taylor: Taking taylor expansion of k in n 1544611623.975 * [misc]backup-simplify: Simplify k into k 1544611623.975 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of 2 in n 1544611623.975 * [misc]backup-simplify: Simplify 2 into 2 1544611623.975 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611623.975 * [misc]taylor: Taking taylor expansion of n in n 1544611623.975 * [misc]backup-simplify: Simplify 0 into 0 1544611623.975 * [misc]backup-simplify: Simplify 1 into 1 1544611623.975 * [misc]taylor: Taking taylor expansion of PI in n 1544611623.975 * [misc]backup-simplify: Simplify PI into PI 1544611623.975 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611623.975 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611623.976 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611623.976 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611623.976 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611623.976 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611623.976 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611623.976 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611623.977 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611623.977 * [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)))) 1544611623.978 * [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))))) 1544611623.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611623.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.978 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611623.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611623.978 * [misc]taylor: Taking taylor expansion of k in k 1544611623.978 * [misc]backup-simplify: Simplify 0 into 0 1544611623.978 * [misc]backup-simplify: Simplify 1 into 1 1544611623.978 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of n in k 1544611623.978 * [misc]backup-simplify: Simplify n into n 1544611623.978 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611623.978 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611623.978 * [misc]taylor: Taking taylor expansion of 2 in k 1544611623.978 * [misc]backup-simplify: Simplify 2 into 2 1544611623.978 * [misc]taylor: Taking taylor expansion of PI in k 1544611623.978 * [misc]backup-simplify: Simplify PI into PI 1544611623.978 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611623.979 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611623.979 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611623.979 * [misc]backup-simplify: Simplify (- 0) into 0 1544611623.979 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611623.980 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611623.980 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611623.980 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611623.981 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611623.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611623.982 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611623.984 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611623.984 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544611623.984 * [misc]backup-simplify: Simplify (- 0) into 0 1544611623.984 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611623.985 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611623.985 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611623.986 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611623.986 * [misc]taylor: Taking taylor expansion of 0 in k 1544611623.986 * [misc]backup-simplify: Simplify 0 into 0 1544611623.986 * [misc]backup-simplify: Simplify 0 into 0 1544611623.987 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611623.988 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611623.991 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611623.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611623.992 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544611623.992 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611623.992 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611623.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544611623.995 * [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))))))) 1544611623.996 * [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))))))) 1544611623.998 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611624.006 * [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 1544611624.006 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544611624.007 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.007 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.008 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611624.011 * [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 1544611624.011 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.011 * [misc]backup-simplify: Simplify 0 into 0 1544611624.011 * [misc]backup-simplify: Simplify 0 into 0 1544611624.011 * [misc]backup-simplify: Simplify 0 into 0 1544611624.013 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611624.014 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.020 * [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 1544611624.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.020 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544611624.020 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.021 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611624.025 * [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))))) 1544611624.029 * [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))))) 1544611624.035 * [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))))) (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))))) 1544611624.035 * [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)))) 1544611624.035 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544611624.035 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544611624.035 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611624.035 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611624.035 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611624.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.035 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.035 * [misc]taylor: Taking taylor expansion of k in k 1544611624.035 * [misc]backup-simplify: Simplify 0 into 0 1544611624.035 * [misc]backup-simplify: Simplify 1 into 1 1544611624.036 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.036 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611624.036 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611624.036 * [misc]taylor: Taking taylor expansion of 2 in k 1544611624.036 * [misc]backup-simplify: Simplify 2 into 2 1544611624.036 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611624.036 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.036 * [misc]backup-simplify: Simplify PI into PI 1544611624.036 * [misc]taylor: Taking taylor expansion of n in k 1544611624.036 * [misc]backup-simplify: Simplify n into n 1544611624.036 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611624.036 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611624.036 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611624.036 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.036 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611624.036 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611624.036 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611624.037 * [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)))) 1544611624.037 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.037 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of k in n 1544611624.037 * [misc]backup-simplify: Simplify k into k 1544611624.037 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.037 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.037 * [misc]backup-simplify: Simplify 2 into 2 1544611624.037 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.037 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.037 * [misc]backup-simplify: Simplify PI into PI 1544611624.037 * [misc]taylor: Taking taylor expansion of n in n 1544611624.037 * [misc]backup-simplify: Simplify 0 into 0 1544611624.037 * [misc]backup-simplify: Simplify 1 into 1 1544611624.037 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.037 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.038 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.038 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.038 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611624.038 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611624.038 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.039 * [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))) 1544611624.039 * [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)))) 1544611624.039 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611624.039 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611624.039 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611624.039 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611624.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.039 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.039 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.039 * [misc]taylor: Taking taylor expansion of k in n 1544611624.039 * [misc]backup-simplify: Simplify k into k 1544611624.039 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.039 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611624.040 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611624.040 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.040 * [misc]backup-simplify: Simplify 2 into 2 1544611624.040 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.040 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.040 * [misc]backup-simplify: Simplify PI into PI 1544611624.040 * [misc]taylor: Taking taylor expansion of n in n 1544611624.040 * [misc]backup-simplify: Simplify 0 into 0 1544611624.040 * [misc]backup-simplify: Simplify 1 into 1 1544611624.040 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.040 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.040 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.040 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.040 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611624.041 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611624.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.041 * [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))) 1544611624.042 * [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)))) 1544611624.042 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.042 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.042 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of k in k 1544611624.042 * [misc]backup-simplify: Simplify 0 into 0 1544611624.042 * [misc]backup-simplify: Simplify 1 into 1 1544611624.042 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.042 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611624.042 * [misc]taylor: Taking taylor expansion of 2 in k 1544611624.042 * [misc]backup-simplify: Simplify 2 into 2 1544611624.042 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.042 * [misc]backup-simplify: Simplify PI into PI 1544611624.043 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.043 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.043 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611624.043 * [misc]taylor: Taking taylor expansion of n in k 1544611624.043 * [misc]backup-simplify: Simplify n into n 1544611624.043 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611624.043 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.043 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611624.043 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611624.043 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611624.044 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611624.044 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611624.045 * [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)))) 1544611624.045 * [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)))) 1544611624.046 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611624.046 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611624.049 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611624.049 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611624.049 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611624.049 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.050 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.050 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611624.051 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611624.051 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.051 * [misc]backup-simplify: Simplify 0 into 0 1544611624.051 * [misc]backup-simplify: Simplify 0 into 0 1544611624.051 * [misc]backup-simplify: Simplify 0 into 0 1544611624.052 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.053 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.059 * [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 1544611624.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.059 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611624.060 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.061 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611624.062 * [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 1544611624.062 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.062 * [misc]backup-simplify: Simplify 0 into 0 1544611624.062 * [misc]backup-simplify: Simplify 0 into 0 1544611624.062 * [misc]backup-simplify: Simplify 0 into 0 1544611624.062 * [misc]backup-simplify: Simplify 0 into 0 1544611624.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.065 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.070 * [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 1544611624.070 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.070 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611624.070 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.070 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.071 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.072 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611624.074 * [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 1544611624.074 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.074 * [misc]backup-simplify: Simplify 0 into 0 1544611624.074 * [misc]backup-simplify: Simplify 0 into 0 1544611624.074 * [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))))) 1544611624.075 * [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)) 1544611624.075 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544611624.075 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of k in k 1544611624.075 * [misc]backup-simplify: Simplify 0 into 0 1544611624.075 * [misc]backup-simplify: Simplify 1 into 1 1544611624.075 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.075 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of -2 in k 1544611624.075 * [misc]backup-simplify: Simplify -2 into -2 1544611624.075 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611624.075 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.075 * [misc]backup-simplify: Simplify PI into PI 1544611624.075 * [misc]taylor: Taking taylor expansion of n in k 1544611624.075 * [misc]backup-simplify: Simplify n into n 1544611624.075 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611624.075 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611624.075 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611624.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.076 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611624.076 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611624.076 * [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))) 1544611624.076 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of k in n 1544611624.076 * [misc]backup-simplify: Simplify k into k 1544611624.076 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.076 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of -2 in n 1544611624.076 * [misc]backup-simplify: Simplify -2 into -2 1544611624.076 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.076 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.076 * [misc]backup-simplify: Simplify PI into PI 1544611624.076 * [misc]taylor: Taking taylor expansion of n in n 1544611624.076 * [misc]backup-simplify: Simplify 0 into 0 1544611624.076 * [misc]backup-simplify: Simplify 1 into 1 1544611624.077 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.077 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.077 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611624.077 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.077 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611624.078 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.078 * [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))) 1544611624.079 * [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)))) 1544611624.079 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of k in n 1544611624.079 * [misc]backup-simplify: Simplify k into k 1544611624.079 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.079 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.079 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of -2 in n 1544611624.079 * [misc]backup-simplify: Simplify -2 into -2 1544611624.079 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.079 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.079 * [misc]backup-simplify: Simplify PI into PI 1544611624.079 * [misc]taylor: Taking taylor expansion of n in n 1544611624.079 * [misc]backup-simplify: Simplify 0 into 0 1544611624.079 * [misc]backup-simplify: Simplify 1 into 1 1544611624.079 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.080 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.080 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611624.080 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.080 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611624.081 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.082 * [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))) 1544611624.082 * [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)))) 1544611624.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of k in k 1544611624.083 * [misc]backup-simplify: Simplify 0 into 0 1544611624.083 * [misc]backup-simplify: Simplify 1 into 1 1544611624.083 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.083 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611624.083 * [misc]taylor: Taking taylor expansion of -2 in k 1544611624.083 * [misc]backup-simplify: Simplify -2 into -2 1544611624.083 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.083 * [misc]backup-simplify: Simplify PI into PI 1544611624.084 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.084 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611624.084 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611624.084 * [misc]taylor: Taking taylor expansion of n in k 1544611624.084 * [misc]backup-simplify: Simplify n into n 1544611624.084 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611624.084 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.085 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611624.085 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611624.085 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611624.086 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611624.087 * [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)))) 1544611624.087 * [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)))) 1544611624.089 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611624.089 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611624.092 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611624.092 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611624.093 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611624.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.094 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.094 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611624.096 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611624.096 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.096 * [misc]backup-simplify: Simplify 0 into 0 1544611624.096 * [misc]backup-simplify: Simplify 0 into 0 1544611624.096 * [misc]backup-simplify: Simplify 0 into 0 1544611624.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.099 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.105 * [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 1544611624.106 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.106 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611624.106 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.107 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.108 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611624.110 * [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 1544611624.110 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.110 * [misc]backup-simplify: Simplify 0 into 0 1544611624.110 * [misc]backup-simplify: Simplify 0 into 0 1544611624.110 * [misc]backup-simplify: Simplify 0 into 0 1544611624.110 * [misc]backup-simplify: Simplify 0 into 0 1544611624.112 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.114 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.123 * [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 1544611624.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.124 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611624.124 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.126 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544611624.130 * [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 1544611624.130 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.130 * [misc]backup-simplify: Simplify 0 into 0 1544611624.130 * [misc]backup-simplify: Simplify 0 into 0 1544611624.131 * [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))))) 1544611624.131 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1544611624.132 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544611624.132 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544611624.132 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611624.132 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.132 * [misc]backup-simplify: Simplify 2 into 2 1544611624.132 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611624.132 * [misc]taylor: Taking taylor expansion of n in n 1544611624.132 * [misc]backup-simplify: Simplify 0 into 0 1544611624.132 * [misc]backup-simplify: Simplify 1 into 1 1544611624.132 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.132 * [misc]backup-simplify: Simplify PI into PI 1544611624.132 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611624.132 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.132 * [misc]backup-simplify: Simplify 2 into 2 1544611624.132 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611624.132 * [misc]taylor: Taking taylor expansion of n in n 1544611624.132 * [misc]backup-simplify: Simplify 0 into 0 1544611624.132 * [misc]backup-simplify: Simplify 1 into 1 1544611624.132 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.132 * [misc]backup-simplify: Simplify PI into PI 1544611624.133 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611624.133 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611624.133 * [misc]backup-simplify: Simplify 0 into 0 1544611624.134 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611624.134 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611624.135 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.136 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611624.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611624.137 * [misc]backup-simplify: Simplify 0 into 0 1544611624.139 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.141 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611624.141 * [misc]backup-simplify: Simplify 0 into 0 1544611624.143 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611624.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544611624.145 * [misc]backup-simplify: Simplify 0 into 0 1544611624.148 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611624.151 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544611624.151 * [misc]backup-simplify: Simplify 0 into 0 1544611624.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611624.159 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544611624.159 * [misc]backup-simplify: Simplify 0 into 0 1544611624.164 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544611624.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544611624.168 * [misc]backup-simplify: Simplify 0 into 0 1544611624.168 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544611624.169 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544611624.169 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544611624.169 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611624.169 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.169 * [misc]backup-simplify: Simplify 2 into 2 1544611624.169 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.169 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.169 * [misc]backup-simplify: Simplify PI into PI 1544611624.169 * [misc]taylor: Taking taylor expansion of n in n 1544611624.169 * [misc]backup-simplify: Simplify 0 into 0 1544611624.169 * [misc]backup-simplify: Simplify 1 into 1 1544611624.169 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.169 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611624.169 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.169 * [misc]backup-simplify: Simplify 2 into 2 1544611624.169 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.169 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.169 * [misc]backup-simplify: Simplify PI into PI 1544611624.169 * [misc]taylor: Taking taylor expansion of n in n 1544611624.169 * [misc]backup-simplify: Simplify 0 into 0 1544611624.169 * [misc]backup-simplify: Simplify 1 into 1 1544611624.170 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.170 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.171 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.172 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611624.172 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611624.172 * [misc]backup-simplify: Simplify 0 into 0 1544611624.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.175 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.175 * [misc]backup-simplify: Simplify 0 into 0 1544611624.177 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.178 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.178 * [misc]backup-simplify: Simplify 0 into 0 1544611624.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611624.183 * [misc]backup-simplify: Simplify 0 into 0 1544611624.185 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.188 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611624.188 * [misc]backup-simplify: Simplify 0 into 0 1544611624.193 * [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 1544611624.196 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611624.197 * [misc]backup-simplify: Simplify 0 into 0 1544611624.197 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544611624.197 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544611624.197 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544611624.197 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611624.197 * [misc]taylor: Taking taylor expansion of -2 in n 1544611624.197 * [misc]backup-simplify: Simplify -2 into -2 1544611624.197 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.197 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.197 * [misc]backup-simplify: Simplify PI into PI 1544611624.197 * [misc]taylor: Taking taylor expansion of n in n 1544611624.197 * [misc]backup-simplify: Simplify 0 into 0 1544611624.197 * [misc]backup-simplify: Simplify 1 into 1 1544611624.198 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.198 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611624.198 * [misc]taylor: Taking taylor expansion of -2 in n 1544611624.198 * [misc]backup-simplify: Simplify -2 into -2 1544611624.198 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.198 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.198 * [misc]backup-simplify: Simplify PI into PI 1544611624.198 * [misc]taylor: Taking taylor expansion of n in n 1544611624.198 * [misc]backup-simplify: Simplify 0 into 0 1544611624.198 * [misc]backup-simplify: Simplify 1 into 1 1544611624.198 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.199 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.199 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.200 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611624.201 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611624.201 * [misc]backup-simplify: Simplify 0 into 0 1544611624.202 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.204 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.204 * [misc]backup-simplify: Simplify 0 into 0 1544611624.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.208 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.208 * [misc]backup-simplify: Simplify 0 into 0 1544611624.210 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.212 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611624.212 * [misc]backup-simplify: Simplify 0 into 0 1544611624.215 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.218 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611624.218 * [misc]backup-simplify: Simplify 0 into 0 1544611624.220 * [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 1544611624.224 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611624.224 * [misc]backup-simplify: Simplify 0 into 0 1544611624.224 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544611624.225 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1544611624.225 * [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)))) 1544611624.225 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544611624.225 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544611624.225 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611624.225 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.225 * [misc]taylor: Taking taylor expansion of k in k 1544611624.225 * [misc]backup-simplify: Simplify 0 into 0 1544611624.226 * [misc]backup-simplify: Simplify 1 into 1 1544611624.226 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.226 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611624.226 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611624.226 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544611624.226 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.227 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.227 * [misc]taylor: Taking taylor expansion of k in k 1544611624.227 * [misc]backup-simplify: Simplify 0 into 0 1544611624.227 * [misc]backup-simplify: Simplify 1 into 1 1544611624.227 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of 2 in k 1544611624.227 * [misc]backup-simplify: Simplify 2 into 2 1544611624.227 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611624.227 * [misc]taylor: Taking taylor expansion of n in k 1544611624.227 * [misc]backup-simplify: Simplify n into n 1544611624.227 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.227 * [misc]backup-simplify: Simplify PI into PI 1544611624.227 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611624.227 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611624.227 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611624.228 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611624.228 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.228 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611624.228 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611624.228 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611624.228 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of k in n 1544611624.229 * [misc]backup-simplify: Simplify k into k 1544611624.229 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.229 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544611624.229 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611624.229 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544611624.229 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.229 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.229 * [misc]taylor: Taking taylor expansion of k in n 1544611624.229 * [misc]backup-simplify: Simplify k into k 1544611624.229 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611624.229 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.229 * [misc]backup-simplify: Simplify 2 into 2 1544611624.229 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611624.230 * [misc]taylor: Taking taylor expansion of n in n 1544611624.230 * [misc]backup-simplify: Simplify 0 into 0 1544611624.230 * [misc]backup-simplify: Simplify 1 into 1 1544611624.230 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.230 * [misc]backup-simplify: Simplify PI into PI 1544611624.230 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611624.230 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611624.231 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611624.232 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611624.232 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.232 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611624.232 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611624.232 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611624.233 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.234 * [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)))) 1544611624.235 * [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))))) 1544611624.235 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of k in n 1544611624.235 * [misc]backup-simplify: Simplify k into k 1544611624.235 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.235 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544611624.235 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611624.235 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544611624.235 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611624.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.235 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611624.236 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.236 * [misc]taylor: Taking taylor expansion of k in n 1544611624.236 * [misc]backup-simplify: Simplify k into k 1544611624.236 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611624.236 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611624.236 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.236 * [misc]backup-simplify: Simplify 2 into 2 1544611624.236 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611624.236 * [misc]taylor: Taking taylor expansion of n in n 1544611624.236 * [misc]backup-simplify: Simplify 0 into 0 1544611624.236 * [misc]backup-simplify: Simplify 1 into 1 1544611624.236 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.236 * [misc]backup-simplify: Simplify PI into PI 1544611624.236 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611624.236 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611624.237 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611624.238 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611624.238 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.239 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611624.239 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611624.239 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611624.240 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.240 * [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)))) 1544611624.241 * [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))))) 1544611624.242 * [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))) 1544611624.242 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.242 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.242 * [misc]taylor: Taking taylor expansion of k in k 1544611624.242 * [misc]backup-simplify: Simplify 0 into 0 1544611624.242 * [misc]backup-simplify: Simplify 1 into 1 1544611624.242 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of n in k 1544611624.242 * [misc]backup-simplify: Simplify n into n 1544611624.242 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611624.242 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611624.242 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611624.243 * [misc]taylor: Taking taylor expansion of 2 in k 1544611624.243 * [misc]backup-simplify: Simplify 2 into 2 1544611624.243 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.243 * [misc]backup-simplify: Simplify PI into PI 1544611624.243 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.244 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.244 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611624.244 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.244 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611624.245 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.245 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611624.246 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611624.246 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611624.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.246 * [misc]taylor: Taking taylor expansion of k in k 1544611624.246 * [misc]backup-simplify: Simplify 0 into 0 1544611624.246 * [misc]backup-simplify: Simplify 1 into 1 1544611624.246 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.246 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611624.247 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611624.248 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544611624.248 * [misc]backup-simplify: Simplify 0 into 0 1544611624.249 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611624.250 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611624.253 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611624.253 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544611624.253 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.254 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.255 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611624.257 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611624.257 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544611624.257 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.257 * [misc]backup-simplify: Simplify 0 into 0 1544611624.258 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611624.259 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611624.262 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611624.262 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.263 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544611624.263 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611624.263 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611624.264 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544611624.265 * [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))))))) 1544611624.267 * [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))))))) 1544611624.267 * [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))))))) 1544611624.268 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611624.273 * [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 1544611624.273 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544611624.273 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.273 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.274 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.274 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611624.276 * [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 1544611624.276 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.276 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544611624.277 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544611624.277 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.277 * [misc]backup-simplify: Simplify 0 into 0 1544611624.277 * [misc]backup-simplify: Simplify 0 into 0 1544611624.277 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544611624.278 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611624.279 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611624.280 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.283 * [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 1544611624.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544611624.284 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.284 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611624.287 * [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))))) 1544611624.293 * [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)))))))) 1544611624.297 * [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)))))))) 1544611624.299 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611624.301 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544611624.311 * [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 1544611624.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544611624.311 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.312 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.312 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611624.313 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544611624.317 * [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 1544611624.318 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.318 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544611624.319 * [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 1544611624.319 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.319 * [misc]backup-simplify: Simplify 0 into 0 1544611624.319 * [misc]backup-simplify: Simplify 0 into 0 1544611624.319 * [misc]backup-simplify: Simplify 0 into 0 1544611624.320 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.321 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611624.325 * [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 1544611624.327 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.339 * [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 1544611624.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544611624.340 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544611624.348 * [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))))))) 1544611624.367 * [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)))))))))))))) 1544611624.380 * [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)))))))))))))) 1544611624.400 * [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)))))))))))))))))))))) 1544611624.401 * [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))))) 1544611624.401 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544611624.401 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544611624.401 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611624.401 * [misc]taylor: Taking taylor expansion of k in k 1544611624.401 * [misc]backup-simplify: Simplify 0 into 0 1544611624.401 * [misc]backup-simplify: Simplify 1 into 1 1544611624.401 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611624.401 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611624.401 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of k in k 1544611624.402 * [misc]backup-simplify: Simplify 0 into 0 1544611624.402 * [misc]backup-simplify: Simplify 1 into 1 1544611624.402 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.402 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of 2 in k 1544611624.402 * [misc]backup-simplify: Simplify 2 into 2 1544611624.402 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611624.402 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.402 * [misc]backup-simplify: Simplify PI into PI 1544611624.402 * [misc]taylor: Taking taylor expansion of n in k 1544611624.402 * [misc]backup-simplify: Simplify n into n 1544611624.402 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611624.403 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611624.403 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611624.403 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.403 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611624.403 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611624.403 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611624.404 * [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)))) 1544611624.404 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of k in n 1544611624.404 * [misc]backup-simplify: Simplify k into k 1544611624.404 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544611624.404 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544611624.404 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.404 * [misc]taylor: Taking taylor expansion of k in n 1544611624.404 * [misc]backup-simplify: Simplify k into k 1544611624.405 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.405 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611624.405 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611624.405 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.405 * [misc]backup-simplify: Simplify 2 into 2 1544611624.405 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.405 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.405 * [misc]backup-simplify: Simplify PI into PI 1544611624.405 * [misc]taylor: Taking taylor expansion of n in n 1544611624.405 * [misc]backup-simplify: Simplify 0 into 0 1544611624.405 * [misc]backup-simplify: Simplify 1 into 1 1544611624.405 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.405 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.406 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.406 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.406 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611624.406 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611624.407 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.408 * [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))) 1544611624.409 * [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)))) 1544611624.409 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of k in n 1544611624.409 * [misc]backup-simplify: Simplify k into k 1544611624.409 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544611624.409 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544611624.409 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of k in n 1544611624.409 * [misc]backup-simplify: Simplify k into k 1544611624.409 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.409 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of 2 in n 1544611624.409 * [misc]backup-simplify: Simplify 2 into 2 1544611624.409 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.409 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.410 * [misc]backup-simplify: Simplify PI into PI 1544611624.410 * [misc]taylor: Taking taylor expansion of n in n 1544611624.410 * [misc]backup-simplify: Simplify 0 into 0 1544611624.410 * [misc]backup-simplify: Simplify 1 into 1 1544611624.410 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.410 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.411 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.411 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.411 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611624.411 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611624.412 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.413 * [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))) 1544611624.413 * [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)))) 1544611624.414 * [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)) 1544611624.414 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544611624.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544611624.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544611624.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611624.415 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.415 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.415 * [misc]taylor: Taking taylor expansion of k in k 1544611624.415 * [misc]backup-simplify: Simplify 0 into 0 1544611624.415 * [misc]backup-simplify: Simplify 1 into 1 1544611624.415 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.415 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611624.415 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611624.415 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611624.415 * [misc]taylor: Taking taylor expansion of 2 in k 1544611624.415 * [misc]backup-simplify: Simplify 2 into 2 1544611624.415 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.415 * [misc]backup-simplify: Simplify PI into PI 1544611624.416 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611624.416 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611624.416 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611624.416 * [misc]taylor: Taking taylor expansion of n in k 1544611624.416 * [misc]backup-simplify: Simplify n into n 1544611624.416 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611624.416 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.417 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611624.417 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611624.417 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611624.417 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611624.418 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611624.419 * [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)))) 1544611624.419 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611624.419 * [misc]taylor: Taking taylor expansion of k in k 1544611624.419 * [misc]backup-simplify: Simplify 0 into 0 1544611624.419 * [misc]backup-simplify: Simplify 1 into 1 1544611624.419 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611624.420 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611624.420 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544611624.420 * [misc]backup-simplify: Simplify 0 into 0 1544611624.422 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611624.422 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611624.426 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611624.426 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611624.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611624.426 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.427 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.428 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611624.430 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611624.431 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544611624.431 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.431 * [misc]backup-simplify: Simplify 0 into 0 1544611624.431 * [misc]backup-simplify: Simplify 0 into 0 1544611624.432 * [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)))))) 1544611624.433 * [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)))))) 1544611624.434 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.435 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.440 * [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 1544611624.441 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.441 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611624.441 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.441 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.441 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.442 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611624.443 * [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 1544611624.444 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544611624.445 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544611624.445 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.445 * [misc]backup-simplify: Simplify 0 into 0 1544611624.445 * [misc]backup-simplify: Simplify 0 into 0 1544611624.445 * [misc]backup-simplify: Simplify 0 into 0 1544611624.446 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611624.446 * [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)))))) 1544611624.447 * [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)))))) 1544611624.448 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.449 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611624.454 * [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 1544611624.454 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611624.454 * [misc]backup-simplify: Simplify (- 0) into 0 1544611624.455 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.455 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611624.456 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611624.458 * [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 1544611624.458 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544611624.459 * [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 1544611624.459 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.459 * [misc]backup-simplify: Simplify 0 into 0 1544611624.459 * [misc]backup-simplify: Simplify 0 into 0 1544611624.459 * [misc]backup-simplify: Simplify 0 into 0 1544611624.459 * [misc]backup-simplify: Simplify 0 into 0 1544611624.460 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611624.462 * [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)))))) 1544611624.463 * [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)))))) 1544611624.465 * [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)))))))) 1544611624.465 * [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))) 1544611624.465 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544611624.465 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of k in k 1544611624.465 * [misc]backup-simplify: Simplify 0 into 0 1544611624.465 * [misc]backup-simplify: Simplify 1 into 1 1544611624.465 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.465 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of -2 in k 1544611624.465 * [misc]backup-simplify: Simplify -2 into -2 1544611624.465 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611624.465 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.465 * [misc]backup-simplify: Simplify PI into PI 1544611624.465 * [misc]taylor: Taking taylor expansion of n in k 1544611624.465 * [misc]backup-simplify: Simplify n into n 1544611624.466 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611624.466 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611624.466 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611624.466 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.466 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611624.466 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611624.466 * [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))) 1544611624.466 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611624.466 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611624.466 * [misc]taylor: Taking taylor expansion of -1 in k 1544611624.466 * [misc]backup-simplify: Simplify -1 into -1 1544611624.466 * [misc]taylor: Taking taylor expansion of k in k 1544611624.466 * [misc]backup-simplify: Simplify 0 into 0 1544611624.466 * [misc]backup-simplify: Simplify 1 into 1 1544611624.466 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611624.467 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611624.467 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611624.467 * [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)))) 1544611624.467 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.467 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of k in n 1544611624.467 * [misc]backup-simplify: Simplify k into k 1544611624.467 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.467 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611624.467 * [misc]taylor: Taking taylor expansion of -2 in n 1544611624.467 * [misc]backup-simplify: Simplify -2 into -2 1544611624.468 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.468 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.468 * [misc]backup-simplify: Simplify PI into PI 1544611624.468 * [misc]taylor: Taking taylor expansion of n in n 1544611624.468 * [misc]backup-simplify: Simplify 0 into 0 1544611624.468 * [misc]backup-simplify: Simplify 1 into 1 1544611624.468 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.468 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.468 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611624.468 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.468 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611624.469 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.469 * [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))) 1544611624.470 * [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)))) 1544611624.470 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611624.470 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611624.470 * [misc]taylor: Taking taylor expansion of -1 in n 1544611624.470 * [misc]backup-simplify: Simplify -1 into -1 1544611624.470 * [misc]taylor: Taking taylor expansion of k in n 1544611624.470 * [misc]backup-simplify: Simplify k into k 1544611624.470 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611624.470 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611624.470 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611624.470 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611624.471 * [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))) 1544611624.471 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of k in n 1544611624.471 * [misc]backup-simplify: Simplify k into k 1544611624.471 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611624.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611624.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.471 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of -2 in n 1544611624.471 * [misc]backup-simplify: Simplify -2 into -2 1544611624.471 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611624.471 * [misc]taylor: Taking taylor expansion of PI in n 1544611624.471 * [misc]backup-simplify: Simplify PI into PI 1544611624.471 * [misc]taylor: Taking taylor expansion of n in n 1544611624.471 * [misc]backup-simplify: Simplify 0 into 0 1544611624.471 * [misc]backup-simplify: Simplify 1 into 1 1544611624.471 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611624.471 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.472 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611624.472 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611624.472 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611624.472 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.473 * [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))) 1544611624.473 * [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)))) 1544611624.473 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611624.473 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611624.473 * [misc]taylor: Taking taylor expansion of -1 in n 1544611624.473 * [misc]backup-simplify: Simplify -1 into -1 1544611624.473 * [misc]taylor: Taking taylor expansion of k in n 1544611624.473 * [misc]backup-simplify: Simplify k into k 1544611624.473 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611624.473 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611624.473 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611624.474 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611624.474 * [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))) 1544611624.474 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544611624.474 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544611624.474 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544611624.474 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611624.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611624.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611624.474 * [misc]taylor: Taking taylor expansion of k in k 1544611624.474 * [misc]backup-simplify: Simplify 0 into 0 1544611624.474 * [misc]backup-simplify: Simplify 1 into 1 1544611624.474 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611624.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611624.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611624.475 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611624.475 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611624.475 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611624.475 * [misc]taylor: Taking taylor expansion of -2 in k 1544611624.475 * [misc]backup-simplify: Simplify -2 into -2 1544611624.475 * [misc]taylor: Taking taylor expansion of PI in k 1544611624.475 * [misc]backup-simplify: Simplify PI into PI 1544611624.475 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611624.475 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611624.475 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611624.475 * [misc]taylor: Taking taylor expansion of n in k 1544611624.475 * [misc]backup-simplify: Simplify n into n 1544611624.475 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611624.476 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611624.476 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611624.476 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611624.476 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611624.476 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611624.477 * [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)))) 1544611624.477 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611624.477 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611624.477 * [misc]taylor: Taking taylor expansion of -1 in k 1544611624.477 * [misc]backup-simplify: Simplify -1 into -1 1544611624.477 * [misc]taylor: Taking taylor expansion of k in k 1544611624.477 * [misc]backup-simplify: Simplify 0 into 0 1544611624.477 * [misc]backup-simplify: Simplify 1 into 1 1544611624.477 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611624.477 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611624.477 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611624.478 * [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))))) 1544611624.478 * [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))))) 1544611624.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611624.480 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611624.481 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611624.482 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611624.482 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611624.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.482 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.483 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611624.484 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611624.485 * [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 1544611624.485 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.485 * [misc]backup-simplify: Simplify 0 into 0 1544611624.485 * [misc]backup-simplify: Simplify 0 into 0 1544611624.486 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544611624.487 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611624.488 * [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)))))) 1544611624.489 * [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)))))) 1544611624.490 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.491 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611624.497 * [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 1544611624.497 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611624.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611624.499 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611624.500 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611624.502 * [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 1544611624.502 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611624.503 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544611624.504 * [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 1544611624.504 * [misc]taylor: Taking taylor expansion of 0 in k 1544611624.504 * [misc]backup-simplify: Simplify 0 into 0 1544611624.504 * [misc]backup-simplify: Simplify 0 into 0 1544611624.504 * [misc]backup-simplify: Simplify 0 into 0 1544611624.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611624.506 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611624.508 * [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)))))) 1544611624.509 * [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)))))) 1544611624.513 * [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))))))))))) 1544611624.513 * * * [misc]progress: simplifying candidates 1544611624.513 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1544611624.513 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1544611624.513 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1544611624.513 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544611624.514 * * [misc]simplify: iters left: 6 (11 enodes) 1544611624.520 * * [misc]simplify: iters left: 5 (21 enodes) 1544611624.532 * * [misc]simplify: iters left: 4 (47 enodes) 1544611624.561 * * [misc]simplify: iters left: 3 (113 enodes) 1544611624.655 * * [misc]simplify: iters left: 2 (328 enodes) 1544611625.065 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544611625.065 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544611625.065 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1544611625.065 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1544611625.066 * [enter]simplify: Simplifying (* PI (* n 2)) 1544611625.066 * * [misc]simplify: iters left: 4 (5 enodes) 1544611625.067 * * [misc]simplify: iters left: 3 (9 enodes) 1544611625.070 * * [misc]simplify: iters left: 2 (15 enodes) 1544611625.072 * * [misc]simplify: iters left: 1 (17 enodes) 1544611625.075 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544611625.075 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544611625.075 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1544611625.075 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544611625.076 * * [misc]simplify: iters left: 5 (8 enodes) 1544611625.078 * * [misc]simplify: iters left: 4 (12 enodes) 1544611625.080 * * [misc]simplify: iters left: 3 (18 enodes) 1544611625.083 * * [misc]simplify: iters left: 2 (20 enodes) 1544611625.087 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544611625.087 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544611625.087 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1544611625.087 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544611625.088 * * [misc]simplify: iters left: 5 (6 enodes) 1544611625.089 * * [misc]simplify: iters left: 4 (8 enodes) 1544611625.090 * * [misc]simplify: iters left: 3 (11 enodes) 1544611625.093 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544611625.093 * [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))) 1544611625.093 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1544611625.094 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544611625.094 * * [misc]simplify: iters left: 5 (6 enodes) 1544611625.096 * * [misc]simplify: iters left: 4 (8 enodes) 1544611625.099 * * [misc]simplify: iters left: 3 (11 enodes) 1544611625.103 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544611625.103 * [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))) 1544611625.103 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1544611625.104 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544611625.104 * * [misc]simplify: iters left: 4 (5 enodes) 1544611625.106 * * [misc]simplify: iters left: 3 (7 enodes) 1544611625.109 * * [misc]simplify: iters left: 2 (10 enodes) 1544611625.112 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544611625.112 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544611625.112 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1544611625.113 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544611625.113 * * [misc]simplify: iters left: 5 (9 enodes) 1544611625.118 * * [misc]simplify: iters left: 4 (15 enodes) 1544611625.124 * * [misc]simplify: iters left: 3 (21 enodes) 1544611625.133 * * [misc]simplify: iters left: 2 (22 enodes) 1544611625.141 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544611625.141 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544611625.141 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1544611625.141 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544611625.142 * * [misc]simplify: iters left: 5 (9 enodes) 1544611625.145 * * [misc]simplify: iters left: 4 (15 enodes) 1544611625.148 * * [misc]simplify: iters left: 3 (21 enodes) 1544611625.151 * * [misc]simplify: iters left: 2 (22 enodes) 1544611625.155 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544611625.155 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544611625.155 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1544611625.155 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544611625.155 * * [misc]simplify: iters left: 5 (7 enodes) 1544611625.157 * * [misc]simplify: iters left: 4 (9 enodes) 1544611625.159 * * [misc]simplify: iters left: 3 (12 enodes) 1544611625.161 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611625.161 * [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))) 1544611625.161 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1544611625.161 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1544611625.162 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544611625.162 * * [misc]simplify: iters left: 6 (14 enodes) 1544611625.166 * * [misc]simplify: iters left: 5 (27 enodes) 1544611625.176 * * [misc]simplify: iters left: 4 (55 enodes) 1544611625.213 * * [misc]simplify: iters left: 3 (144 enodes) 1544611625.394 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544611625.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544611625.394 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1544611625.394 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544611625.395 * * [misc]simplify: iters left: 6 (14 enodes) 1544611625.399 * * [misc]simplify: iters left: 5 (27 enodes) 1544611625.407 * * [misc]simplify: iters left: 4 (55 enodes) 1544611625.431 * * [misc]simplify: iters left: 3 (144 enodes) 1544611625.602 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544611625.602 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544611625.602 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1544611625.602 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544611625.603 * * [misc]simplify: iters left: 6 (14 enodes) 1544611625.606 * * [misc]simplify: iters left: 5 (24 enodes) 1544611625.613 * * [misc]simplify: iters left: 4 (43 enodes) 1544611625.622 * * [misc]simplify: iters left: 3 (73 enodes) 1544611625.657 * * [misc]simplify: iters left: 2 (220 enodes) 1544611625.970 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544611625.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544611625.971 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1544611625.971 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1544611625.971 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1544611625.971 * [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))) 1544611625.973 * * [misc]simplify: iters left: 6 (16 enodes) 1544611625.981 * * [misc]simplify: iters left: 5 (31 enodes) 1544611625.990 * * [misc]simplify: iters left: 4 (67 enodes) 1544611626.007 * * [misc]simplify: iters left: 3 (124 enodes) 1544611626.045 * * [misc]simplify: iters left: 2 (195 enodes) 1544611626.116 * * [misc]simplify: iters left: 1 (309 enodes) 1544611626.357 * [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)))) 1544611626.357 * [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)))))) 1544611626.357 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1544611626.357 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1544611626.357 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1544611626.358 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1544611626.358 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1544611626.358 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611626.359 * * [misc]simplify: iters left: 6 (12 enodes) 1544611626.365 * * [misc]simplify: iters left: 5 (19 enodes) 1544611626.372 * * [misc]simplify: iters left: 4 (25 enodes) 1544611626.381 * * [misc]simplify: iters left: 3 (26 enodes) 1544611626.391 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611626.391 * [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))))) 1544611626.391 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544611626.392 * * [misc]simplify: iters left: 6 (12 enodes) 1544611626.397 * * [misc]simplify: iters left: 5 (18 enodes) 1544611626.405 * * [misc]simplify: iters left: 4 (24 enodes) 1544611626.413 * * [misc]simplify: iters left: 3 (25 enodes) 1544611626.422 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544611626.422 * [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))))) 1544611626.422 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1544611626.422 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544611626.423 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.429 * * [misc]simplify: iters left: 5 (16 enodes) 1544611626.435 * * [misc]simplify: iters left: 4 (22 enodes) 1544611626.443 * * [misc]simplify: iters left: 3 (24 enodes) 1544611626.452 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544611626.452 * [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))))) 1544611626.452 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544611626.453 * * [misc]simplify: iters left: 6 (12 enodes) 1544611626.459 * * [misc]simplify: iters left: 5 (18 enodes) 1544611626.468 * * [misc]simplify: iters left: 4 (24 enodes) 1544611626.476 * * [misc]simplify: iters left: 3 (25 enodes) 1544611626.482 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611626.482 * [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))))) 1544611626.482 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1544611626.483 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544611626.483 * * [misc]simplify: iters left: 6 (9 enodes) 1544611626.485 * * [misc]simplify: iters left: 5 (16 enodes) 1544611626.489 * * [misc]simplify: iters left: 4 (24 enodes) 1544611626.493 * * [misc]simplify: iters left: 3 (26 enodes) 1544611626.496 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544611626.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544611626.496 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544611626.497 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.499 * * [misc]simplify: iters left: 5 (17 enodes) 1544611626.503 * * [misc]simplify: iters left: 4 (23 enodes) 1544611626.506 * * [misc]simplify: iters left: 3 (24 enodes) 1544611626.510 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611626.511 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611626.511 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1544611626.511 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611626.511 * * [misc]simplify: iters left: 6 (12 enodes) 1544611626.514 * * [misc]simplify: iters left: 5 (19 enodes) 1544611626.518 * * [misc]simplify: iters left: 4 (25 enodes) 1544611626.522 * * [misc]simplify: iters left: 3 (26 enodes) 1544611626.526 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611626.526 * [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))))) 1544611626.526 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544611626.527 * * [misc]simplify: iters left: 6 (12 enodes) 1544611626.532 * * [misc]simplify: iters left: 5 (18 enodes) 1544611626.538 * * [misc]simplify: iters left: 4 (24 enodes) 1544611626.546 * * [misc]simplify: iters left: 3 (25 enodes) 1544611626.556 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544611626.556 * [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))))) 1544611626.557 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1544611626.557 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544611626.558 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.562 * * [misc]simplify: iters left: 5 (16 enodes) 1544611626.568 * * [misc]simplify: iters left: 4 (22 enodes) 1544611626.576 * * [misc]simplify: iters left: 3 (24 enodes) 1544611626.584 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544611626.585 * [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))))) 1544611626.585 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544611626.586 * * [misc]simplify: iters left: 6 (12 enodes) 1544611626.592 * * [misc]simplify: iters left: 5 (18 enodes) 1544611626.597 * * [misc]simplify: iters left: 4 (24 enodes) 1544611626.601 * * [misc]simplify: iters left: 3 (25 enodes) 1544611626.605 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611626.605 * [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))))) 1544611626.605 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1544611626.605 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544611626.606 * * [misc]simplify: iters left: 6 (9 enodes) 1544611626.608 * * [misc]simplify: iters left: 5 (16 enodes) 1544611626.611 * * [misc]simplify: iters left: 4 (24 enodes) 1544611626.615 * * [misc]simplify: iters left: 3 (26 enodes) 1544611626.618 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544611626.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544611626.619 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544611626.619 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.622 * * [misc]simplify: iters left: 5 (17 enodes) 1544611626.625 * * [misc]simplify: iters left: 4 (23 enodes) 1544611626.628 * * [misc]simplify: iters left: 3 (24 enodes) 1544611626.633 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611626.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611626.633 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1544611626.633 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611626.634 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.636 * * [misc]simplify: iters left: 5 (15 enodes) 1544611626.640 * * [misc]simplify: iters left: 4 (18 enodes) 1544611626.643 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611626.643 * [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))))) 1544611626.643 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544611626.644 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.646 * * [misc]simplify: iters left: 5 (14 enodes) 1544611626.648 * * [misc]simplify: iters left: 4 (17 enodes) 1544611626.651 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544611626.651 * [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))))) 1544611626.651 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1544611626.651 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611626.652 * * [misc]simplify: iters left: 6 (10 enodes) 1544611626.653 * * [misc]simplify: iters left: 5 (12 enodes) 1544611626.655 * * [misc]simplify: iters left: 4 (15 enodes) 1544611626.658 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611626.658 * [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))))) 1544611626.658 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611626.659 * * [misc]simplify: iters left: 6 (11 enodes) 1544611626.661 * * [misc]simplify: iters left: 5 (14 enodes) 1544611626.663 * * [misc]simplify: iters left: 4 (17 enodes) 1544611626.666 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611626.666 * [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))))) 1544611626.666 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1544611626.666 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544611626.667 * * [misc]simplify: iters left: 6 (9 enodes) 1544611626.668 * * [misc]simplify: iters left: 5 (13 enodes) 1544611626.671 * * [misc]simplify: iters left: 4 (18 enodes) 1544611626.674 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611626.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544611626.674 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544611626.675 * * [misc]simplify: iters left: 6 (10 enodes) 1544611626.678 * * [misc]simplify: iters left: 5 (13 enodes) 1544611626.683 * * [misc]simplify: iters left: 4 (16 enodes) 1544611626.688 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544611626.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544611626.688 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1544611626.689 * [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)))) 1544611626.690 * * [misc]simplify: iters left: 6 (16 enodes) 1544611626.698 * * [misc]simplify: iters left: 5 (28 enodes) 1544611626.710 * * [misc]simplify: iters left: 4 (46 enodes) 1544611626.726 * * [misc]simplify: iters left: 3 (50 enodes) 1544611626.744 * * [misc]simplify: iters left: 2 (53 enodes) 1544611626.765 * [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)))) 1544611626.766 * [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))))) 1544611626.766 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544611626.767 * * [misc]simplify: iters left: 6 (14 enodes) 1544611626.773 * * [misc]simplify: iters left: 5 (20 enodes) 1544611626.783 * * [misc]simplify: iters left: 4 (29 enodes) 1544611626.792 * * [misc]simplify: iters left: 3 (30 enodes) 1544611626.803 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544611626.803 * [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))))) 1544611626.803 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1544611626.803 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544611626.805 * * [misc]simplify: iters left: 6 (15 enodes) 1544611626.812 * * [misc]simplify: iters left: 5 (23 enodes) 1544611626.822 * * [misc]simplify: iters left: 4 (34 enodes) 1544611626.834 * * [misc]simplify: iters left: 3 (37 enodes) 1544611626.850 * [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)))))) 1544611626.850 * [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))))) 1544611626.850 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611626.852 * * [misc]simplify: iters left: 6 (14 enodes) 1544611626.858 * * [misc]simplify: iters left: 5 (20 enodes) 1544611626.866 * * [misc]simplify: iters left: 4 (29 enodes) 1544611626.878 * * [misc]simplify: iters left: 3 (30 enodes) 1544611626.889 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611626.889 * [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))))) 1544611626.889 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1544611626.889 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544611626.890 * * [misc]simplify: iters left: 6 (14 enodes) 1544611626.897 * * [misc]simplify: iters left: 5 (24 enodes) 1544611626.909 * * [misc]simplify: iters left: 4 (39 enodes) 1544611626.923 * * [misc]simplify: iters left: 3 (54 enodes) 1544611626.942 * * [misc]simplify: iters left: 2 (80 enodes) 1544611626.967 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544611626.968 * [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)))) 1544611626.968 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544611626.969 * * [misc]simplify: iters left: 6 (13 enodes) 1544611626.975 * * [misc]simplify: iters left: 5 (19 enodes) 1544611626.984 * * [misc]simplify: iters left: 4 (28 enodes) 1544611626.993 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.002 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611627.002 * [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)))) 1544611627.003 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1544611627.003 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611627.004 * * [misc]simplify: iters left: 6 (15 enodes) 1544611627.013 * * [misc]simplify: iters left: 5 (23 enodes) 1544611627.021 * * [misc]simplify: iters left: 4 (32 enodes) 1544611627.031 * * [misc]simplify: iters left: 3 (34 enodes) 1544611627.043 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611627.043 * [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))))) 1544611627.043 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544611627.044 * * [misc]simplify: iters left: 6 (14 enodes) 1544611627.050 * * [misc]simplify: iters left: 5 (20 enodes) 1544611627.059 * * [misc]simplify: iters left: 4 (29 enodes) 1544611627.069 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.080 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544611627.080 * [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))))) 1544611627.080 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1544611627.080 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611627.081 * * [misc]simplify: iters left: 6 (14 enodes) 1544611627.087 * * [misc]simplify: iters left: 5 (20 enodes) 1544611627.095 * * [misc]simplify: iters left: 4 (29 enodes) 1544611627.105 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.115 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611627.115 * [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))))) 1544611627.116 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611627.117 * * [misc]simplify: iters left: 6 (14 enodes) 1544611627.123 * * [misc]simplify: iters left: 5 (20 enodes) 1544611627.132 * * [misc]simplify: iters left: 4 (29 enodes) 1544611627.141 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.154 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611627.154 * [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))))) 1544611627.154 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1544611627.154 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544611627.155 * * [misc]simplify: iters left: 6 (13 enodes) 1544611627.161 * * [misc]simplify: iters left: 5 (21 enodes) 1544611627.170 * * [misc]simplify: iters left: 4 (32 enodes) 1544611627.180 * * [misc]simplify: iters left: 3 (33 enodes) 1544611627.191 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611627.191 * [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)))) 1544611627.191 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544611627.193 * * [misc]simplify: iters left: 6 (13 enodes) 1544611627.198 * * [misc]simplify: iters left: 5 (19 enodes) 1544611627.206 * * [misc]simplify: iters left: 4 (28 enodes) 1544611627.215 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.222 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611627.223 * [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)))) 1544611627.223 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1544611627.223 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611627.223 * * [misc]simplify: iters left: 6 (6 enodes) 1544611627.224 * * [misc]simplify: iters left: 5 (10 enodes) 1544611627.226 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544611627.226 * [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))))) 1544611627.226 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544611627.227 * * [misc]simplify: iters left: 6 (13 enodes) 1544611627.230 * * [misc]simplify: iters left: 5 (19 enodes) 1544611627.234 * * [misc]simplify: iters left: 4 (28 enodes) 1544611627.238 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.243 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544611627.243 * [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))))) 1544611627.243 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1544611627.244 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544611627.244 * * [misc]simplify: iters left: 4 (5 enodes) 1544611627.245 * * [misc]simplify: iters left: 3 (7 enodes) 1544611627.246 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544611627.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611627.246 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611627.247 * * [misc]simplify: iters left: 6 (13 enodes) 1544611627.252 * * [misc]simplify: iters left: 5 (19 enodes) 1544611627.256 * * [misc]simplify: iters left: 4 (28 enodes) 1544611627.260 * * [misc]simplify: iters left: 3 (30 enodes) 1544611627.269 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611627.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611627.269 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1544611627.270 * [enter]simplify: Simplifying (/ 1 1) 1544611627.270 * * [misc]simplify: iters left: 2 (2 enodes) 1544611627.271 * * [misc]simplify: iters left: 1 (4 enodes) 1544611627.271 * [exit]simplify: Simplified to 1 1544611627.272 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544611627.272 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544611627.273 * * [misc]simplify: iters left: 6 (12 enodes) 1544611627.277 * * [misc]simplify: iters left: 5 (18 enodes) 1544611627.284 * * [misc]simplify: iters left: 4 (27 enodes) 1544611627.290 * * [misc]simplify: iters left: 3 (29 enodes) 1544611627.296 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611627.296 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611627.296 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1544611627.296 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1544611627.296 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1544611627.296 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1544611627.296 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544611627.297 * * [misc]simplify: iters left: 2 (3 enodes) 1544611627.297 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544611627.297 * [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)))) 1544611627.297 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1544611627.297 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544611627.297 * * [misc]simplify: iters left: 2 (3 enodes) 1544611627.298 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544611627.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611627.298 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1544611627.298 * [enter]simplify: Simplifying (sqrt k) 1544611627.298 * * [misc]simplify: iters left: 1 (2 enodes) 1544611627.299 * [exit]simplify: Simplified to (sqrt k) 1544611627.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544611627.299 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1544611627.299 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544611627.299 * * [misc]simplify: iters left: 5 (7 enodes) 1544611627.301 * * [misc]simplify: iters left: 4 (12 enodes) 1544611627.303 * * [misc]simplify: iters left: 3 (18 enodes) 1544611627.306 * * [misc]simplify: iters left: 2 (20 enodes) 1544611627.310 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611627.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544611627.310 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1544611627.310 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544611627.310 * * [misc]simplify: iters left: 5 (7 enodes) 1544611627.312 * * [misc]simplify: iters left: 4 (12 enodes) 1544611627.315 * * [misc]simplify: iters left: 3 (18 enodes) 1544611627.318 * * [misc]simplify: iters left: 2 (20 enodes) 1544611627.321 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611627.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544611627.321 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1544611627.321 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544611627.322 * * [misc]simplify: iters left: 5 (7 enodes) 1544611627.323 * * [misc]simplify: iters left: 4 (9 enodes) 1544611627.325 * * [misc]simplify: iters left: 3 (12 enodes) 1544611627.327 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611627.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544611627.327 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1544611627.327 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544611627.328 * * [misc]simplify: iters left: 6 (12 enodes) 1544611627.332 * * [misc]simplify: iters left: 5 (18 enodes) 1544611627.335 * * [misc]simplify: iters left: 4 (27 enodes) 1544611627.340 * * [misc]simplify: iters left: 3 (29 enodes) 1544611627.345 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611627.345 * [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))))))) 1544611627.345 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1544611627.345 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544611627.346 * * [misc]simplify: iters left: 6 (11 enodes) 1544611627.349 * * [misc]simplify: iters left: 5 (17 enodes) 1544611627.352 * * [misc]simplify: iters left: 4 (26 enodes) 1544611627.357 * * [misc]simplify: iters left: 3 (27 enodes) 1544611627.362 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544611627.362 * [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))))))) 1544611627.362 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1544611627.362 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1544611627.362 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544611627.362 * * [misc]simplify: iters left: 5 (7 enodes) 1544611627.364 * * [misc]simplify: iters left: 4 (12 enodes) 1544611627.367 * * [misc]simplify: iters left: 3 (18 enodes) 1544611627.370 * * [misc]simplify: iters left: 2 (20 enodes) 1544611627.373 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611627.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544611627.373 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1544611627.374 * [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))))) 1544611627.376 * * [misc]simplify: iters left: 6 (37 enodes) 1544611627.391 * * [misc]simplify: iters left: 5 (108 enodes) 1544611627.466 * * [misc]simplify: iters left: 4 (368 enodes) 1544611628.138 * [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)))))) 1544611628.138 * [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))) 1544611628.138 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1544611628.138 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544611628.139 * * [misc]simplify: iters left: 6 (15 enodes) 1544611628.145 * * [misc]simplify: iters left: 5 (33 enodes) 1544611628.162 * * [misc]simplify: iters left: 4 (64 enodes) 1544611628.205 * * [misc]simplify: iters left: 3 (179 enodes) 1544611628.433 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544611628.433 * [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))) 1544611628.433 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1544611628.433 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544611628.434 * * [misc]simplify: iters left: 6 (15 enodes) 1544611628.443 * * [misc]simplify: iters left: 5 (30 enodes) 1544611628.461 * * [misc]simplify: iters left: 4 (65 enodes) 1544611628.515 * * [misc]simplify: iters left: 3 (208 enodes) 1544611628.755 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1544611628.755 * [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))) 1544611628.755 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1544611628.755 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611628.755 * * [misc]simplify: iters left: 4 (5 enodes) 1544611628.757 * * [misc]simplify: iters left: 3 (9 enodes) 1544611628.759 * * [misc]simplify: iters left: 2 (15 enodes) 1544611628.764 * * [misc]simplify: iters left: 1 (17 enodes) 1544611628.770 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611628.770 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544611628.770 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1544611628.771 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611628.771 * * [misc]simplify: iters left: 4 (5 enodes) 1544611628.774 * * [misc]simplify: iters left: 3 (9 enodes) 1544611628.778 * * [misc]simplify: iters left: 2 (15 enodes) 1544611628.783 * * [misc]simplify: iters left: 1 (17 enodes) 1544611628.786 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611628.786 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544611628.786 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1544611628.786 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611628.786 * * [misc]simplify: iters left: 4 (5 enodes) 1544611628.788 * * [misc]simplify: iters left: 3 (9 enodes) 1544611628.790 * * [misc]simplify: iters left: 2 (15 enodes) 1544611628.792 * * [misc]simplify: iters left: 1 (17 enodes) 1544611628.795 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611628.795 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544611628.795 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1544611628.795 * [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)))))))))))))))))))))) 1544611628.795 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611628.795 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1544611628.796 * [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)))))))) 1544611628.796 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611628.796 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1544611628.796 * [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))))))))))) 1544611628.796 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611628.796 * * * [misc]progress: adding candidates to table 1544611630.667 * * [misc]progress: iteration 2 / 4 1544611630.667 * * * [misc]progress: picking best candidate 1544611630.784 * * * * [misc]pick: Picked # 1544611630.784 * * * [misc]progress: localizing error 1544611630.830 * * * [misc]progress: generating rewritten candidates 1544611630.830 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1544611630.863 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1544611630.880 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) 1544611630.897 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544611631.004 * * * [misc]progress: generating series expansions 1544611631.004 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1544611631.005 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1544611631.005 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1544611631.005 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.005 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.005 * [misc]backup-simplify: Simplify 1 into 1 1544611631.005 * [misc]taylor: Taking taylor expansion of k in k 1544611631.005 * [misc]backup-simplify: Simplify 0 into 0 1544611631.005 * [misc]backup-simplify: Simplify 1 into 1 1544611631.005 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.005 * [misc]backup-simplify: Simplify 2 into 2 1544611631.005 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611631.005 * [misc]taylor: Taking taylor expansion of n in k 1544611631.005 * [misc]backup-simplify: Simplify n into n 1544611631.005 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.005 * [misc]backup-simplify: Simplify PI into PI 1544611631.006 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611631.006 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611631.006 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611631.006 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.006 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.006 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611631.007 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611631.007 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611631.007 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.007 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.007 * [misc]backup-simplify: Simplify 1 into 1 1544611631.007 * [misc]taylor: Taking taylor expansion of k in n 1544611631.007 * [misc]backup-simplify: Simplify k into k 1544611631.007 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.007 * [misc]backup-simplify: Simplify 2 into 2 1544611631.007 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.007 * [misc]taylor: Taking taylor expansion of n in n 1544611631.007 * [misc]backup-simplify: Simplify 0 into 0 1544611631.007 * [misc]backup-simplify: Simplify 1 into 1 1544611631.007 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.008 * [misc]backup-simplify: Simplify PI into PI 1544611631.008 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.008 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.009 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.010 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.010 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.010 * [misc]backup-simplify: Simplify (- k) into (- k) 1544611631.010 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544611631.010 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544611631.012 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.013 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544611631.014 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544611631.014 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.014 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.014 * [misc]backup-simplify: Simplify 1 into 1 1544611631.014 * [misc]taylor: Taking taylor expansion of k in n 1544611631.014 * [misc]backup-simplify: Simplify k into k 1544611631.014 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.014 * [misc]backup-simplify: Simplify 2 into 2 1544611631.014 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.014 * [misc]taylor: Taking taylor expansion of n in n 1544611631.014 * [misc]backup-simplify: Simplify 0 into 0 1544611631.014 * [misc]backup-simplify: Simplify 1 into 1 1544611631.014 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.014 * [misc]backup-simplify: Simplify PI into PI 1544611631.015 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.015 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.016 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.016 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.017 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.017 * [misc]backup-simplify: Simplify (- k) into (- k) 1544611631.017 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544611631.017 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544611631.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.018 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544611631.019 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544611631.019 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1544611631.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1544611631.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.019 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1544611631.020 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611631.020 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.020 * [misc]backup-simplify: Simplify 1 into 1 1544611631.020 * [misc]taylor: Taking taylor expansion of k in k 1544611631.020 * [misc]backup-simplify: Simplify 0 into 0 1544611631.020 * [misc]backup-simplify: Simplify 1 into 1 1544611631.020 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611631.020 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611631.020 * [misc]taylor: Taking taylor expansion of n in k 1544611631.020 * [misc]backup-simplify: Simplify n into n 1544611631.020 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611631.020 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611631.020 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611631.020 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.020 * [misc]backup-simplify: Simplify 2 into 2 1544611631.020 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.020 * [misc]backup-simplify: Simplify PI into PI 1544611631.020 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.021 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.021 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.021 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.022 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.022 * [misc]backup-simplify: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1544611631.023 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611631.024 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611631.024 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611631.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611631.027 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611631.030 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611631.030 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1544611631.031 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.032 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611631.034 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611631.034 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.034 * [misc]backup-simplify: Simplify 0 into 0 1544611631.034 * [misc]backup-simplify: Simplify 0 into 0 1544611631.035 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611631.036 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611631.039 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611631.039 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.039 * [misc]backup-simplify: Simplify (- 1) into -1 1544611631.039 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611631.040 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1544611631.041 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544611631.044 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1544611631.045 * [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))))))) 1544611631.047 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.049 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611631.054 * [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 1544611631.055 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.055 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1544611631.056 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.057 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611631.059 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611631.060 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.060 * [misc]backup-simplify: Simplify 0 into 0 1544611631.060 * [misc]backup-simplify: Simplify 0 into 0 1544611631.060 * [misc]backup-simplify: Simplify 0 into 0 1544611631.061 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611631.063 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611631.070 * [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 1544611631.070 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.070 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.071 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.072 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611631.073 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611631.077 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 1544611631.081 * [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))))) 1544611631.091 * [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))))) 1544611631.092 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1544611631.092 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1544611631.092 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.092 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.092 * [misc]backup-simplify: Simplify 1 into 1 1544611631.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of k in k 1544611631.092 * [misc]backup-simplify: Simplify 0 into 0 1544611631.092 * [misc]backup-simplify: Simplify 1 into 1 1544611631.092 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.092 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.092 * [misc]backup-simplify: Simplify 2 into 2 1544611631.092 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611631.092 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.092 * [misc]backup-simplify: Simplify PI into PI 1544611631.093 * [misc]taylor: Taking taylor expansion of n in k 1544611631.093 * [misc]backup-simplify: Simplify n into n 1544611631.093 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611631.093 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611631.093 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611631.093 * [misc]backup-simplify: Simplify (- 1) into -1 1544611631.093 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611631.093 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544611631.094 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611631.094 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544611631.094 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544611631.094 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611631.094 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611631.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544611631.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.094 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611631.094 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.094 * [misc]backup-simplify: Simplify 1 into 1 1544611631.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.094 * [misc]taylor: Taking taylor expansion of k in n 1544611631.094 * [misc]backup-simplify: Simplify k into k 1544611631.094 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.095 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611631.095 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.095 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.095 * [misc]backup-simplify: Simplify 2 into 2 1544611631.095 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.095 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.095 * [misc]backup-simplify: Simplify PI into PI 1544611631.095 * [misc]taylor: Taking taylor expansion of n in n 1544611631.095 * [misc]backup-simplify: Simplify 0 into 0 1544611631.095 * [misc]backup-simplify: Simplify 1 into 1 1544611631.095 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.095 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.096 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.096 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611631.096 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611631.096 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544611631.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.098 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611631.099 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.099 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.099 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.099 * [misc]backup-simplify: Simplify 1 into 1 1544611631.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of k in n 1544611631.099 * [misc]backup-simplify: Simplify k into k 1544611631.099 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.099 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.099 * [misc]backup-simplify: Simplify 2 into 2 1544611631.099 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.099 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.099 * [misc]backup-simplify: Simplify PI into PI 1544611631.099 * [misc]taylor: Taking taylor expansion of n in n 1544611631.100 * [misc]backup-simplify: Simplify 0 into 0 1544611631.100 * [misc]backup-simplify: Simplify 1 into 1 1544611631.100 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.100 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.101 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.101 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611631.101 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611631.101 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544611631.102 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.103 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611631.104 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.104 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.104 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.104 * [misc]backup-simplify: Simplify 1 into 1 1544611631.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of k in k 1544611631.104 * [misc]backup-simplify: Simplify 0 into 0 1544611631.104 * [misc]backup-simplify: Simplify 1 into 1 1544611631.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.104 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611631.104 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.104 * [misc]backup-simplify: Simplify 2 into 2 1544611631.104 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.104 * [misc]backup-simplify: Simplify PI into PI 1544611631.105 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.105 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.105 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611631.105 * [misc]taylor: Taking taylor expansion of n in k 1544611631.105 * [misc]backup-simplify: Simplify n into n 1544611631.106 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611631.106 * [misc]backup-simplify: Simplify (- 1) into -1 1544611631.106 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611631.106 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611631.107 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611631.107 * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1544611631.108 * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611631.109 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.110 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.111 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611631.112 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611631.115 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611631.116 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611631.116 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.116 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1544611631.117 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.118 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611631.120 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611631.120 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.120 * [misc]backup-simplify: Simplify 0 into 0 1544611631.120 * [misc]backup-simplify: Simplify 0 into 0 1544611631.120 * [misc]backup-simplify: Simplify 0 into 0 1544611631.121 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.122 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611631.128 * [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 1544611631.129 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611631.129 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1544611631.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.131 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611631.133 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611631.134 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.134 * [misc]backup-simplify: Simplify 0 into 0 1544611631.134 * [misc]backup-simplify: Simplify 0 into 0 1544611631.134 * [misc]backup-simplify: Simplify 0 into 0 1544611631.134 * [misc]backup-simplify: Simplify 0 into 0 1544611631.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.149 * [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 1544611631.149 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611631.149 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1544611631.151 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.152 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611631.155 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 1544611631.155 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.155 * [misc]backup-simplify: Simplify 0 into 0 1544611631.155 * [misc]backup-simplify: Simplify 0 into 0 1544611631.156 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544611631.157 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1544611631.157 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1544611631.157 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.157 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of k in k 1544611631.157 * [misc]backup-simplify: Simplify 0 into 0 1544611631.157 * [misc]backup-simplify: Simplify 1 into 1 1544611631.157 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.157 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.157 * [misc]backup-simplify: Simplify 1 into 1 1544611631.157 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of -2 in k 1544611631.157 * [misc]backup-simplify: Simplify -2 into -2 1544611631.157 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611631.157 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.157 * [misc]backup-simplify: Simplify PI into PI 1544611631.157 * [misc]taylor: Taking taylor expansion of n in k 1544611631.157 * [misc]backup-simplify: Simplify n into n 1544611631.157 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611631.158 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611631.158 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611631.158 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.158 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611631.158 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611631.158 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544611631.159 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.159 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of k in n 1544611631.159 * [misc]backup-simplify: Simplify k into k 1544611631.159 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.159 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.159 * [misc]backup-simplify: Simplify 1 into 1 1544611631.159 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.159 * [misc]backup-simplify: Simplify -2 into -2 1544611631.159 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.159 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.159 * [misc]backup-simplify: Simplify PI into PI 1544611631.159 * [misc]taylor: Taking taylor expansion of n in n 1544611631.159 * [misc]backup-simplify: Simplify 0 into 0 1544611631.159 * [misc]backup-simplify: Simplify 1 into 1 1544611631.159 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.160 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.160 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.160 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611631.160 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544611631.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.162 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611631.162 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.162 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.163 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of k in n 1544611631.163 * [misc]backup-simplify: Simplify k into k 1544611631.163 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.163 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.163 * [misc]backup-simplify: Simplify 1 into 1 1544611631.163 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.163 * [misc]backup-simplify: Simplify -2 into -2 1544611631.163 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.163 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.163 * [misc]backup-simplify: Simplify PI into PI 1544611631.163 * [misc]taylor: Taking taylor expansion of n in n 1544611631.163 * [misc]backup-simplify: Simplify 0 into 0 1544611631.163 * [misc]backup-simplify: Simplify 1 into 1 1544611631.163 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.164 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.164 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.164 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611631.164 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544611631.165 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.166 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611631.166 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.166 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1544611631.166 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1544611631.166 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.166 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.167 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1544611631.167 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611631.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.167 * [misc]taylor: Taking taylor expansion of k in k 1544611631.167 * [misc]backup-simplify: Simplify 0 into 0 1544611631.167 * [misc]backup-simplify: Simplify 1 into 1 1544611631.167 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.167 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.167 * [misc]backup-simplify: Simplify 1 into 1 1544611631.167 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611631.167 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611631.167 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611631.167 * [misc]taylor: Taking taylor expansion of -2 in k 1544611631.167 * [misc]backup-simplify: Simplify -2 into -2 1544611631.167 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.167 * [misc]backup-simplify: Simplify PI into PI 1544611631.167 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.168 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.168 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611631.168 * [misc]taylor: Taking taylor expansion of n in k 1544611631.168 * [misc]backup-simplify: Simplify n into n 1544611631.168 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611631.168 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.168 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611631.169 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611631.169 * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1544611631.170 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611631.171 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.171 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.172 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611631.173 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611631.176 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611631.176 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611631.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1544611631.177 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.178 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611631.179 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611631.179 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.179 * [misc]backup-simplify: Simplify 0 into 0 1544611631.179 * [misc]backup-simplify: Simplify 0 into 0 1544611631.180 * [misc]backup-simplify: Simplify 0 into 0 1544611631.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.182 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611631.188 * [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 1544611631.188 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611631.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1544611631.190 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.191 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611631.193 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611631.193 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.193 * [misc]backup-simplify: Simplify 0 into 0 1544611631.193 * [misc]backup-simplify: Simplify 0 into 0 1544611631.193 * [misc]backup-simplify: Simplify 0 into 0 1544611631.194 * [misc]backup-simplify: Simplify 0 into 0 1544611631.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.197 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.207 * [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 1544611631.207 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611631.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 1544611631.208 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.209 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544611631.213 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544611631.213 * [misc]taylor: Taking taylor expansion of 0 in k 1544611631.213 * [misc]backup-simplify: Simplify 0 into 0 1544611631.213 * [misc]backup-simplify: Simplify 0 into 0 1544611631.214 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544611631.214 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1544611631.215 * [misc]backup-simplify: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 1544611631.215 * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 1544611631.215 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611631.215 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.215 * [misc]taylor: Taking taylor expansion of k in k 1544611631.215 * [misc]backup-simplify: Simplify 0 into 0 1544611631.215 * [misc]backup-simplify: Simplify 1 into 1 1544611631.215 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.215 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.216 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.216 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611631.216 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.216 * [misc]taylor: Taking taylor expansion of k in k 1544611631.216 * [misc]backup-simplify: Simplify 0 into 0 1544611631.216 * [misc]backup-simplify: Simplify 1 into 1 1544611631.216 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.216 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.217 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.217 * [misc]backup-simplify: Simplify 0 into 0 1544611631.217 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.217 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544611631.218 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611631.218 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.219 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.220 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611631.220 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.220 * [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)))))) 1544611631.220 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 1544611631.220 * [misc]approximate: Taking taylor expansion of (sqrt k) in (k) around 0 1544611631.220 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611631.220 * [misc]taylor: Taking taylor expansion of k in k 1544611631.220 * [misc]backup-simplify: Simplify 0 into 0 1544611631.220 * [misc]backup-simplify: Simplify 1 into 1 1544611631.220 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.221 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.221 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611631.221 * [misc]taylor: Taking taylor expansion of k in k 1544611631.221 * [misc]backup-simplify: Simplify 0 into 0 1544611631.221 * [misc]backup-simplify: Simplify 1 into 1 1544611631.221 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.222 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.222 * [misc]backup-simplify: Simplify 0 into 0 1544611631.222 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.223 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611631.223 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.224 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611631.224 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.225 * [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)))))))) 1544611631.225 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 1544611631.225 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 1544611631.225 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544611631.225 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611631.225 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611631.225 * [misc]taylor: Taking taylor expansion of -1 in k 1544611631.225 * [misc]backup-simplify: Simplify -1 into -1 1544611631.225 * [misc]taylor: Taking taylor expansion of k in k 1544611631.225 * [misc]backup-simplify: Simplify 0 into 0 1544611631.225 * [misc]backup-simplify: Simplify 1 into 1 1544611631.226 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611631.226 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.226 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611631.226 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544611631.226 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544611631.226 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611631.226 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611631.226 * [misc]taylor: Taking taylor expansion of -1 in k 1544611631.226 * [misc]backup-simplify: Simplify -1 into -1 1544611631.226 * [misc]taylor: Taking taylor expansion of k in k 1544611631.227 * [misc]backup-simplify: Simplify 0 into 0 1544611631.227 * [misc]backup-simplify: Simplify 1 into 1 1544611631.227 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611631.227 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.227 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611631.227 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544611631.228 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544611631.229 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611631.230 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1544611631.230 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544611631.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.231 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611631.233 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1544611631.233 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544611631.234 * [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))))) 1544611631.234 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) 1544611631.234 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544611631.234 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544611631.234 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.234 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.234 * [misc]backup-simplify: Simplify 2 into 2 1544611631.234 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.234 * [misc]taylor: Taking taylor expansion of n in n 1544611631.234 * [misc]backup-simplify: Simplify 0 into 0 1544611631.235 * [misc]backup-simplify: Simplify 1 into 1 1544611631.235 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.235 * [misc]backup-simplify: Simplify PI into PI 1544611631.235 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.235 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.235 * [misc]backup-simplify: Simplify 2 into 2 1544611631.235 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.235 * [misc]taylor: Taking taylor expansion of n in n 1544611631.235 * [misc]backup-simplify: Simplify 0 into 0 1544611631.235 * [misc]backup-simplify: Simplify 1 into 1 1544611631.235 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.235 * [misc]backup-simplify: Simplify PI into PI 1544611631.235 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.235 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.235 * [misc]backup-simplify: Simplify 0 into 0 1544611631.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.237 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.237 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.238 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611631.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611631.240 * [misc]backup-simplify: Simplify 0 into 0 1544611631.242 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.243 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611631.243 * [misc]backup-simplify: Simplify 0 into 0 1544611631.245 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611631.248 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544611631.248 * [misc]backup-simplify: Simplify 0 into 0 1544611631.249 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611631.251 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544611631.251 * [misc]backup-simplify: Simplify 0 into 0 1544611631.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611631.255 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544611631.255 * [misc]backup-simplify: Simplify 0 into 0 1544611631.258 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544611631.260 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544611631.260 * [misc]backup-simplify: Simplify 0 into 0 1544611631.261 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544611631.261 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 1544611631.261 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544611631.261 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.261 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.261 * [misc]backup-simplify: Simplify 2 into 2 1544611631.261 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.261 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.261 * [misc]backup-simplify: Simplify PI into PI 1544611631.261 * [misc]taylor: Taking taylor expansion of n in n 1544611631.261 * [misc]backup-simplify: Simplify 0 into 0 1544611631.261 * [misc]backup-simplify: Simplify 1 into 1 1544611631.261 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.261 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.261 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.261 * [misc]backup-simplify: Simplify 2 into 2 1544611631.261 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.261 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.261 * [misc]backup-simplify: Simplify PI into PI 1544611631.261 * [misc]taylor: Taking taylor expansion of n in n 1544611631.261 * [misc]backup-simplify: Simplify 0 into 0 1544611631.261 * [misc]backup-simplify: Simplify 1 into 1 1544611631.262 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.262 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.262 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611631.263 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611631.263 * [misc]backup-simplify: Simplify 0 into 0 1544611631.264 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.265 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611631.265 * [misc]backup-simplify: Simplify 0 into 0 1544611631.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.267 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.267 * [misc]backup-simplify: Simplify 0 into 0 1544611631.268 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.269 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611631.269 * [misc]backup-simplify: Simplify 0 into 0 1544611631.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.274 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611631.274 * [misc]backup-simplify: Simplify 0 into 0 1544611631.276 * [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 1544611631.277 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611631.278 * [misc]backup-simplify: Simplify 0 into 0 1544611631.278 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544611631.278 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 1544611631.278 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544611631.278 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.278 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.278 * [misc]backup-simplify: Simplify -2 into -2 1544611631.278 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.278 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.278 * [misc]backup-simplify: Simplify PI into PI 1544611631.278 * [misc]taylor: Taking taylor expansion of n in n 1544611631.278 * [misc]backup-simplify: Simplify 0 into 0 1544611631.278 * [misc]backup-simplify: Simplify 1 into 1 1544611631.278 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.278 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.278 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.278 * [misc]backup-simplify: Simplify -2 into -2 1544611631.278 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.278 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.278 * [misc]backup-simplify: Simplify PI into PI 1544611631.279 * [misc]taylor: Taking taylor expansion of n in n 1544611631.279 * [misc]backup-simplify: Simplify 0 into 0 1544611631.279 * [misc]backup-simplify: Simplify 1 into 1 1544611631.279 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.279 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.279 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.280 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611631.280 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611631.280 * [misc]backup-simplify: Simplify 0 into 0 1544611631.281 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.282 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611631.282 * [misc]backup-simplify: Simplify 0 into 0 1544611631.283 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.284 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.284 * [misc]backup-simplify: Simplify 0 into 0 1544611631.285 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.286 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611631.286 * [misc]backup-simplify: Simplify 0 into 0 1544611631.287 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.289 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611631.289 * [misc]backup-simplify: Simplify 0 into 0 1544611631.291 * [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 1544611631.292 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611631.293 * [misc]backup-simplify: Simplify 0 into 0 1544611631.293 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544611631.293 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544611631.293 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 1544611631.293 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 1544611631.293 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1544611631.293 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.294 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.294 * [misc]backup-simplify: Simplify 1 into 1 1544611631.294 * [misc]taylor: Taking taylor expansion of k in n 1544611631.294 * [misc]backup-simplify: Simplify k into k 1544611631.294 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.294 * [misc]backup-simplify: Simplify 2 into 2 1544611631.294 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.294 * [misc]taylor: Taking taylor expansion of n in n 1544611631.294 * [misc]backup-simplify: Simplify 0 into 0 1544611631.294 * [misc]backup-simplify: Simplify 1 into 1 1544611631.294 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.294 * [misc]backup-simplify: Simplify PI into PI 1544611631.294 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.294 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.295 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.295 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.295 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.295 * [misc]backup-simplify: Simplify (- k) into (- k) 1544611631.295 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544611631.295 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544611631.296 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.296 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544611631.297 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544611631.297 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544611631.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.297 * [misc]taylor: Taking taylor expansion of k in n 1544611631.297 * [misc]backup-simplify: Simplify k into k 1544611631.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.297 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544611631.297 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611631.297 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544611631.297 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.297 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.297 * [misc]backup-simplify: Simplify 1 into 1 1544611631.297 * [misc]taylor: Taking taylor expansion of k in k 1544611631.297 * [misc]backup-simplify: Simplify 0 into 0 1544611631.297 * [misc]backup-simplify: Simplify 1 into 1 1544611631.297 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.297 * [misc]backup-simplify: Simplify 2 into 2 1544611631.297 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611631.297 * [misc]taylor: Taking taylor expansion of n in k 1544611631.297 * [misc]backup-simplify: Simplify n into n 1544611631.297 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.297 * [misc]backup-simplify: Simplify PI into PI 1544611631.298 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611631.298 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611631.298 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611631.298 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.298 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.298 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611631.298 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611631.298 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611631.298 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611631.298 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.298 * [misc]taylor: Taking taylor expansion of k in k 1544611631.298 * [misc]backup-simplify: Simplify 0 into 0 1544611631.298 * [misc]backup-simplify: Simplify 1 into 1 1544611631.298 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.299 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.299 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.299 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.299 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.299 * [misc]backup-simplify: Simplify 1 into 1 1544611631.299 * [misc]taylor: Taking taylor expansion of k in k 1544611631.299 * [misc]backup-simplify: Simplify 0 into 0 1544611631.299 * [misc]backup-simplify: Simplify 1 into 1 1544611631.299 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.299 * [misc]backup-simplify: Simplify 2 into 2 1544611631.299 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611631.299 * [misc]taylor: Taking taylor expansion of n in k 1544611631.299 * [misc]backup-simplify: Simplify n into n 1544611631.299 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.299 * [misc]backup-simplify: Simplify PI into PI 1544611631.299 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611631.299 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611631.299 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611631.299 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.300 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.300 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611631.300 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611631.300 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611631.300 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611631.300 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.300 * [misc]taylor: Taking taylor expansion of k in k 1544611631.300 * [misc]backup-simplify: Simplify 0 into 0 1544611631.300 * [misc]backup-simplify: Simplify 1 into 1 1544611631.300 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.300 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.300 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.301 * [misc]backup-simplify: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 1544611631.301 * [misc]taylor: Taking taylor expansion of 0 in n 1544611631.301 * [misc]backup-simplify: Simplify 0 into 0 1544611631.301 * [misc]backup-simplify: Simplify 0 into 0 1544611631.301 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544611631.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544611631.302 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544611631.303 * [misc]backup-simplify: Simplify (- 1) into -1 1544611631.303 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611631.303 * [misc]backup-simplify: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 1544611631.303 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544611631.304 * [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))))) 1544611631.304 * [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))))) 1544611631.304 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544611631.304 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544611631.304 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.304 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.304 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544611631.304 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611631.304 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.304 * [misc]backup-simplify: Simplify 2 into 2 1544611631.304 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611631.304 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611631.304 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611631.304 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.304 * [misc]taylor: Taking taylor expansion of n in n 1544611631.304 * [misc]backup-simplify: Simplify 0 into 0 1544611631.305 * [misc]backup-simplify: Simplify 1 into 1 1544611631.305 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.305 * [misc]backup-simplify: Simplify PI into PI 1544611631.305 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.306 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611631.306 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544611631.306 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611631.306 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.306 * [misc]backup-simplify: Simplify 0 into 0 1544611631.306 * [misc]backup-simplify: Simplify 0 into 0 1544611631.306 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544611631.307 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611631.307 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1544611631.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1544611631.309 * [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 1544611631.309 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 1544611631.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1544611631.311 * [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))) 1544611631.312 * [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))))))) 1544611631.313 * [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 1544611631.313 * [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 1544611631.313 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.313 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.313 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.313 * [misc]backup-simplify: Simplify 2 into 2 1544611631.313 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611631.313 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611631.313 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.313 * [misc]backup-simplify: Simplify 2 into 2 1544611631.313 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.313 * [misc]taylor: Taking taylor expansion of n in n 1544611631.313 * [misc]backup-simplify: Simplify 0 into 0 1544611631.313 * [misc]backup-simplify: Simplify 1 into 1 1544611631.313 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.313 * [misc]backup-simplify: Simplify PI into PI 1544611631.313 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.313 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.314 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.314 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.315 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.315 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611631.315 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.315 * [misc]taylor: Taking taylor expansion of n in n 1544611631.315 * [misc]backup-simplify: Simplify 0 into 0 1544611631.315 * [misc]backup-simplify: Simplify 1 into 1 1544611631.315 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.315 * [misc]backup-simplify: Simplify PI into PI 1544611631.315 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.316 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.316 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611631.316 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544611631.316 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544611631.316 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.316 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.316 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544611631.316 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611631.316 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.316 * [misc]backup-simplify: Simplify 2 into 2 1544611631.316 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611631.316 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611631.316 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611631.316 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.316 * [misc]taylor: Taking taylor expansion of n in n 1544611631.316 * [misc]backup-simplify: Simplify 0 into 0 1544611631.316 * [misc]backup-simplify: Simplify 1 into 1 1544611631.316 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.316 * [misc]backup-simplify: Simplify PI into PI 1544611631.317 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.317 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.317 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611631.318 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.318 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544611631.319 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.319 * [misc]backup-simplify: Simplify 0 into 0 1544611631.320 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.321 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.322 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.323 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.323 * [misc]backup-simplify: Simplify 0 into 0 1544611631.323 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.324 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611631.324 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611631.325 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1544611631.327 * [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 1544611631.327 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.327 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.328 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1544611631.328 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1544611631.330 * [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))) 1544611631.333 * [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))))))))) 1544611631.333 * [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 1544611631.333 * [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 1544611631.333 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.333 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.333 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.333 * [misc]backup-simplify: Simplify 2 into 2 1544611631.333 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611631.333 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611631.333 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.333 * [misc]backup-simplify: Simplify 2 into 2 1544611631.333 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.333 * [misc]taylor: Taking taylor expansion of n in n 1544611631.334 * [misc]backup-simplify: Simplify 0 into 0 1544611631.334 * [misc]backup-simplify: Simplify 1 into 1 1544611631.334 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.334 * [misc]backup-simplify: Simplify PI into PI 1544611631.334 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.334 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.334 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.335 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.335 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.335 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611631.335 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.335 * [misc]taylor: Taking taylor expansion of n in n 1544611631.335 * [misc]backup-simplify: Simplify 0 into 0 1544611631.335 * [misc]backup-simplify: Simplify 1 into 1 1544611631.335 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.335 * [misc]backup-simplify: Simplify PI into PI 1544611631.336 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.336 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.336 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.337 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611631.337 * [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 1544611631.337 * [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 1544611631.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544611631.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.337 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544611631.337 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611631.337 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.337 * [misc]backup-simplify: Simplify 2 into 2 1544611631.337 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611631.338 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611631.338 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611631.338 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.338 * [misc]taylor: Taking taylor expansion of n in n 1544611631.338 * [misc]backup-simplify: Simplify 0 into 0 1544611631.338 * [misc]backup-simplify: Simplify 1 into 1 1544611631.338 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.338 * [misc]backup-simplify: Simplify PI into PI 1544611631.338 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.339 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.339 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611631.339 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.340 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.340 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.340 * [misc]backup-simplify: Simplify 2 into 2 1544611631.340 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611631.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611631.340 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.340 * [misc]backup-simplify: Simplify 2 into 2 1544611631.340 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.340 * [misc]taylor: Taking taylor expansion of n in n 1544611631.340 * [misc]backup-simplify: Simplify 0 into 0 1544611631.340 * [misc]backup-simplify: Simplify 1 into 1 1544611631.340 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.340 * [misc]backup-simplify: Simplify PI into PI 1544611631.341 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.341 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611631.342 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.342 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611631.343 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.344 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.344 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611631.344 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611631.344 * [misc]taylor: Taking taylor expansion of n in n 1544611631.344 * [misc]backup-simplify: Simplify 0 into 0 1544611631.344 * [misc]backup-simplify: Simplify 1 into 1 1544611631.344 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.344 * [misc]backup-simplify: Simplify PI into PI 1544611631.344 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611631.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611631.345 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.345 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611631.346 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.347 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544611631.348 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544611631.348 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611631.348 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544611631.348 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611631.349 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.350 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.351 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1544611631.353 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1544611631.354 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1544611631.354 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611631.354 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.354 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.355 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.355 * [misc]backup-simplify: Simplify 0 into 0 1544611631.356 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611631.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611631.360 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611631.361 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611631.362 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611631.363 * [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)))))))) 1544611631.367 * [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)))))))) 1544611631.368 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.370 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.371 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611631.377 * [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)))))))))) 1544611631.382 * [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))))))) 1544611631.386 * [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))))))) 1544611631.387 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611631.389 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544611631.391 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544611631.394 * [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)))) 1544611631.399 * [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)))) 1544611631.403 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544611631.405 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544611631.414 * [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))))))))))))) 1544611631.415 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1544611631.415 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1544611631.415 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1544611631.415 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544611631.415 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611631.415 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611631.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544611631.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.415 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611631.415 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.416 * [misc]backup-simplify: Simplify 1 into 1 1544611631.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.416 * [misc]taylor: Taking taylor expansion of k in n 1544611631.416 * [misc]backup-simplify: Simplify k into k 1544611631.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.416 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611631.416 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.416 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.416 * [misc]backup-simplify: Simplify 2 into 2 1544611631.416 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.416 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.416 * [misc]backup-simplify: Simplify PI into PI 1544611631.416 * [misc]taylor: Taking taylor expansion of n in n 1544611631.416 * [misc]backup-simplify: Simplify 0 into 0 1544611631.416 * [misc]backup-simplify: Simplify 1 into 1 1544611631.416 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.417 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.417 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.417 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611631.417 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611631.417 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544611631.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.419 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611631.419 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.420 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544611631.420 * [misc]taylor: Taking taylor expansion of k in n 1544611631.420 * [misc]backup-simplify: Simplify k into k 1544611631.420 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544611631.420 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544611631.420 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.420 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.420 * [misc]backup-simplify: Simplify 1 into 1 1544611631.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of k in k 1544611631.420 * [misc]backup-simplify: Simplify 0 into 0 1544611631.420 * [misc]backup-simplify: Simplify 1 into 1 1544611631.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.420 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611631.420 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.420 * [misc]backup-simplify: Simplify 2 into 2 1544611631.421 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611631.421 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.421 * [misc]backup-simplify: Simplify PI into PI 1544611631.421 * [misc]taylor: Taking taylor expansion of n in k 1544611631.421 * [misc]backup-simplify: Simplify n into n 1544611631.421 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611631.421 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611631.421 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611631.421 * [misc]backup-simplify: Simplify (- 1) into -1 1544611631.421 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611631.422 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544611631.422 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611631.422 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544611631.422 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611631.422 * [misc]taylor: Taking taylor expansion of k in k 1544611631.422 * [misc]backup-simplify: Simplify 0 into 0 1544611631.422 * [misc]backup-simplify: Simplify 1 into 1 1544611631.422 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.423 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.423 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.423 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.423 * [misc]backup-simplify: Simplify 1 into 1 1544611631.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of k in k 1544611631.423 * [misc]backup-simplify: Simplify 0 into 0 1544611631.423 * [misc]backup-simplify: Simplify 1 into 1 1544611631.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.423 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611631.423 * [misc]taylor: Taking taylor expansion of 2 in k 1544611631.424 * [misc]backup-simplify: Simplify 2 into 2 1544611631.424 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611631.424 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.424 * [misc]backup-simplify: Simplify PI into PI 1544611631.424 * [misc]taylor: Taking taylor expansion of n in k 1544611631.424 * [misc]backup-simplify: Simplify n into n 1544611631.424 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611631.424 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611631.424 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611631.424 * [misc]backup-simplify: Simplify (- 1) into -1 1544611631.424 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611631.425 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544611631.425 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611631.425 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544611631.425 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611631.425 * [misc]taylor: Taking taylor expansion of k in k 1544611631.425 * [misc]backup-simplify: Simplify 0 into 0 1544611631.425 * [misc]backup-simplify: Simplify 1 into 1 1544611631.425 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.426 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611631.426 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1544611631.426 * [misc]taylor: Taking taylor expansion of 0 in n 1544611631.426 * [misc]backup-simplify: Simplify 0 into 0 1544611631.426 * [misc]backup-simplify: Simplify 0 into 0 1544611631.427 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544611631.427 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.427 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.427 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.427 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.427 * [misc]backup-simplify: Simplify 1 into 1 1544611631.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.427 * [misc]taylor: Taking taylor expansion of k in n 1544611631.427 * [misc]backup-simplify: Simplify k into k 1544611631.428 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.428 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611631.428 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.428 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.428 * [misc]backup-simplify: Simplify 2 into 2 1544611631.428 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.428 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.428 * [misc]backup-simplify: Simplify PI into PI 1544611631.428 * [misc]taylor: Taking taylor expansion of n in n 1544611631.428 * [misc]backup-simplify: Simplify 0 into 0 1544611631.428 * [misc]backup-simplify: Simplify 1 into 1 1544611631.428 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.428 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.429 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.429 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611631.429 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611631.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.431 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544611631.431 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611631.432 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.433 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544611631.434 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611631.435 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611631.435 * [misc]backup-simplify: Simplify 0 into 0 1544611631.436 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611631.436 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544611631.436 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544611631.436 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544611631.436 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.436 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.437 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.437 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.437 * [misc]backup-simplify: Simplify 1 into 1 1544611631.437 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of k in n 1544611631.437 * [misc]backup-simplify: Simplify k into k 1544611631.437 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.437 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.437 * [misc]backup-simplify: Simplify 2 into 2 1544611631.437 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.437 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.437 * [misc]backup-simplify: Simplify PI into PI 1544611631.437 * [misc]taylor: Taking taylor expansion of n in n 1544611631.437 * [misc]backup-simplify: Simplify 0 into 0 1544611631.437 * [misc]backup-simplify: Simplify 1 into 1 1544611631.437 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.438 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.438 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.438 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611631.438 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611631.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.440 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544611631.440 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611631.441 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.441 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544611631.442 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611631.442 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611631.443 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611631.443 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611631.445 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611631.445 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611631.445 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.445 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.446 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.446 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611631.447 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1544611631.448 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611631.448 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1544611631.449 * [misc]backup-simplify: Simplify (- 0) into 0 1544611631.449 * [misc]backup-simplify: Simplify 0 into 0 1544611631.449 * [misc]backup-simplify: Simplify 0 into 0 1544611631.449 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611631.450 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544611631.450 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.450 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.450 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.450 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.450 * [misc]backup-simplify: Simplify 1 into 1 1544611631.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of k in n 1544611631.450 * [misc]backup-simplify: Simplify k into k 1544611631.450 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.450 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of 2 in n 1544611631.450 * [misc]backup-simplify: Simplify 2 into 2 1544611631.450 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.450 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.450 * [misc]backup-simplify: Simplify PI into PI 1544611631.450 * [misc]taylor: Taking taylor expansion of n in n 1544611631.450 * [misc]backup-simplify: Simplify 0 into 0 1544611631.450 * [misc]backup-simplify: Simplify 1 into 1 1544611631.450 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.451 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611631.451 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611631.451 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611631.451 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611631.452 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611631.452 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544611631.452 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611631.453 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611631.453 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544611631.454 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611631.454 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611631.457 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1544611631.457 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1544611631.457 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1544611631.457 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.457 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of k in n 1544611631.457 * [misc]backup-simplify: Simplify k into k 1544611631.457 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.457 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.457 * [misc]backup-simplify: Simplify 1 into 1 1544611631.457 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.457 * [misc]backup-simplify: Simplify -2 into -2 1544611631.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.457 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.457 * [misc]backup-simplify: Simplify PI into PI 1544611631.457 * [misc]taylor: Taking taylor expansion of n in n 1544611631.457 * [misc]backup-simplify: Simplify 0 into 0 1544611631.457 * [misc]backup-simplify: Simplify 1 into 1 1544611631.458 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.458 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.458 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.458 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611631.458 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544611631.459 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.459 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611631.460 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.460 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611631.460 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611631.460 * [misc]taylor: Taking taylor expansion of -1 in n 1544611631.460 * [misc]backup-simplify: Simplify -1 into -1 1544611631.460 * [misc]taylor: Taking taylor expansion of k in n 1544611631.460 * [misc]backup-simplify: Simplify k into k 1544611631.460 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611631.460 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611631.460 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611631.460 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611631.460 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1544611631.461 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.461 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.461 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of k in k 1544611631.461 * [misc]backup-simplify: Simplify 0 into 0 1544611631.461 * [misc]backup-simplify: Simplify 1 into 1 1544611631.461 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.461 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.461 * [misc]backup-simplify: Simplify 1 into 1 1544611631.461 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of -2 in k 1544611631.461 * [misc]backup-simplify: Simplify -2 into -2 1544611631.461 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611631.461 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.461 * [misc]backup-simplify: Simplify PI into PI 1544611631.461 * [misc]taylor: Taking taylor expansion of n in k 1544611631.461 * [misc]backup-simplify: Simplify n into n 1544611631.461 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611631.461 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611631.461 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611631.461 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.461 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611631.462 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611631.462 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544611631.462 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611631.462 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611631.462 * [misc]taylor: Taking taylor expansion of -1 in k 1544611631.462 * [misc]backup-simplify: Simplify -1 into -1 1544611631.462 * [misc]taylor: Taking taylor expansion of k in k 1544611631.462 * [misc]backup-simplify: Simplify 0 into 0 1544611631.462 * [misc]backup-simplify: Simplify 1 into 1 1544611631.462 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611631.462 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.462 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611631.463 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1544611631.463 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611631.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.463 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of k in k 1544611631.463 * [misc]backup-simplify: Simplify 0 into 0 1544611631.463 * [misc]backup-simplify: Simplify 1 into 1 1544611631.463 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611631.463 * [misc]taylor: Taking taylor expansion of 1 in k 1544611631.463 * [misc]backup-simplify: Simplify 1 into 1 1544611631.463 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of -2 in k 1544611631.463 * [misc]backup-simplify: Simplify -2 into -2 1544611631.463 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611631.463 * [misc]taylor: Taking taylor expansion of PI in k 1544611631.463 * [misc]backup-simplify: Simplify PI into PI 1544611631.463 * [misc]taylor: Taking taylor expansion of n in k 1544611631.463 * [misc]backup-simplify: Simplify n into n 1544611631.463 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611631.463 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611631.463 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611631.464 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611631.464 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611631.464 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611631.464 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544611631.464 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611631.464 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611631.464 * [misc]taylor: Taking taylor expansion of -1 in k 1544611631.464 * [misc]backup-simplify: Simplify -1 into -1 1544611631.464 * [misc]taylor: Taking taylor expansion of k in k 1544611631.464 * [misc]backup-simplify: Simplify 0 into 0 1544611631.464 * [misc]backup-simplify: Simplify 1 into 1 1544611631.464 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611631.464 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611631.465 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611631.465 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1544611631.465 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.465 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.465 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.465 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.465 * [misc]backup-simplify: Simplify -2 into -2 1544611631.465 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.465 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.465 * [misc]backup-simplify: Simplify PI into PI 1544611631.465 * [misc]taylor: Taking taylor expansion of n in n 1544611631.465 * [misc]backup-simplify: Simplify 0 into 0 1544611631.465 * [misc]backup-simplify: Simplify 1 into 1 1544611631.465 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.466 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.466 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.466 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611631.466 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.466 * [misc]taylor: Taking taylor expansion of k in n 1544611631.466 * [misc]backup-simplify: Simplify k into k 1544611631.466 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.466 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.466 * [misc]backup-simplify: Simplify 1 into 1 1544611631.467 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.467 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611631.467 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544611631.468 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611631.468 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.468 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611631.469 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611631.469 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544611631.470 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611631.470 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544611631.470 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544611631.470 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544611631.470 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.471 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.471 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544611631.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544611631.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.471 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544611631.471 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611631.471 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.471 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.471 * [misc]backup-simplify: Simplify -2 into -2 1544611631.471 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.471 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.471 * [misc]backup-simplify: Simplify PI into PI 1544611631.471 * [misc]taylor: Taking taylor expansion of n in n 1544611631.471 * [misc]backup-simplify: Simplify 0 into 0 1544611631.471 * [misc]backup-simplify: Simplify 1 into 1 1544611631.471 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.471 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.471 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.472 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611631.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.472 * [misc]taylor: Taking taylor expansion of k in n 1544611631.472 * [misc]backup-simplify: Simplify k into k 1544611631.472 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.472 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.472 * [misc]backup-simplify: Simplify 1 into 1 1544611631.472 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.472 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611631.473 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544611631.473 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611631.473 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.474 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611631.474 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611631.475 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611631.476 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.476 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611631.476 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611631.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611631.477 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611631.479 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611631.479 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1544611631.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1544611631.481 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611631.481 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1544611631.481 * [misc]backup-simplify: Simplify 0 into 0 1544611631.482 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611631.482 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611631.483 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544611631.483 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611631.483 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611631.483 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611631.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611631.483 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of -2 in n 1544611631.483 * [misc]backup-simplify: Simplify -2 into -2 1544611631.483 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611631.483 * [misc]taylor: Taking taylor expansion of PI in n 1544611631.483 * [misc]backup-simplify: Simplify PI into PI 1544611631.483 * [misc]taylor: Taking taylor expansion of n in n 1544611631.483 * [misc]backup-simplify: Simplify 0 into 0 1544611631.483 * [misc]backup-simplify: Simplify 1 into 1 1544611631.484 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611631.484 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611631.484 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611631.484 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611631.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611631.484 * [misc]taylor: Taking taylor expansion of k in n 1544611631.484 * [misc]backup-simplify: Simplify k into k 1544611631.484 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611631.484 * [misc]taylor: Taking taylor expansion of 1 in n 1544611631.484 * [misc]backup-simplify: Simplify 1 into 1 1544611631.485 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611631.485 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611631.485 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544611631.486 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611631.487 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611631.488 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611631.488 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611631.489 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611631.491 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1544611631.491 * * * [misc]progress: simplifying candidates 1544611631.491 * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # 1544611631.491 * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # 1544611631.491 * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # 1544611631.491 * [enter]simplify: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1544611631.492 * * [misc]simplify: iters left: 6 (11 enodes) 1544611631.496 * * [misc]simplify: iters left: 5 (29 enodes) 1544611631.503 * * [misc]simplify: iters left: 4 (59 enodes) 1544611631.523 * * [misc]simplify: iters left: 3 (146 enodes) 1544611631.654 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) 1544611631.654 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))))) 1544611631.654 * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # 1544611631.654 * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # 1544611631.654 * [enter]simplify: Simplifying (* (* 2 PI) n) 1544611631.655 * * [misc]simplify: iters left: 4 (5 enodes) 1544611631.657 * * [misc]simplify: iters left: 3 (9 enodes) 1544611631.661 * * [misc]simplify: iters left: 2 (15 enodes) 1544611631.663 * * [misc]simplify: iters left: 1 (17 enodes) 1544611631.666 * [exit]simplify: Simplified to (* (* 2 PI) n) 1544611631.666 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1544611631.666 * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # 1544611631.666 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544611631.666 * * [misc]simplify: iters left: 5 (8 enodes) 1544611631.668 * * [misc]simplify: iters left: 4 (12 enodes) 1544611631.671 * * [misc]simplify: iters left: 3 (18 enodes) 1544611631.674 * * [misc]simplify: iters left: 2 (20 enodes) 1544611631.677 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544611631.677 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))))) 1544611631.677 * * * * [misc]progress: [ 7 / 88 ] simplifiying candidate # 1544611631.678 * [enter]simplify: Simplifying (cbrt (/ (- 1 k) 2)) 1544611631.678 * * [misc]simplify: iters left: 5 (6 enodes) 1544611631.680 * * [misc]simplify: iters left: 4 (14 enodes) 1544611631.682 * * [misc]simplify: iters left: 3 (17 enodes) 1544611631.685 * * [misc]simplify: iters left: 2 (19 enodes) 1544611631.688 * [exit]simplify: Simplified to (cbrt (/ (- 1 k) 2)) 1544611631.688 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 1544611631.688 * * * * [misc]progress: [ 8 / 88 ] simplifiying candidate # 1544611631.688 * [enter]simplify: Simplifying (sqrt (/ (- 1 k) 2)) 1544611631.688 * * [misc]simplify: iters left: 5 (6 enodes) 1544611631.691 * * [misc]simplify: iters left: 4 (14 enodes) 1544611631.693 * * [misc]simplify: iters left: 3 (17 enodes) 1544611631.695 * * [misc]simplify: iters left: 2 (19 enodes) 1544611631.698 * [exit]simplify: Simplified to (sqrt (/ (- 1 k) 2)) 1544611631.698 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 1544611631.698 * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # 1544611631.698 * [enter]simplify: Simplifying (/ (- 1 k) 2) 1544611631.698 * * [misc]simplify: iters left: 4 (5 enodes) 1544611631.700 * * [misc]simplify: iters left: 3 (13 enodes) 1544611631.702 * * [misc]simplify: iters left: 2 (16 enodes) 1544611631.704 * * [misc]simplify: iters left: 1 (18 enodes) 1544611631.707 * [exit]simplify: Simplified to (/ (- 1 k) 2) 1544611631.707 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 1544611631.707 * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # 1544611631.707 * [enter]simplify: Simplifying (/ 1 2) 1544611631.707 * * [misc]simplify: iters left: 2 (3 enodes) 1544611631.710 * * [misc]simplify: iters left: 1 (6 enodes) 1544611631.710 * [exit]simplify: Simplified to 1/2 1544611631.710 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 1544611631.710 * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # 1544611631.711 * [enter]simplify: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 1544611631.711 * * [misc]simplify: iters left: 5 (8 enodes) 1544611631.714 * * [misc]simplify: iters left: 4 (17 enodes) 1544611631.716 * * [misc]simplify: iters left: 3 (20 enodes) 1544611631.719 * * [misc]simplify: iters left: 2 (22 enodes) 1544611631.723 * [exit]simplify: Simplified to (pow (* 2 PI) (- 1/2 (/ k 2))) 1544611631.723 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (/ (- 1 k) 2))))) 1544611631.723 * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # 1544611631.723 * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # 1544611631.723 * [enter]simplify: Simplifying (- 1/2) 1544611631.723 * * [misc]simplify: iters left: 2 (2 enodes) 1544611631.724 * * [misc]simplify: iters left: 1 (3 enodes) 1544611631.724 * [exit]simplify: Simplified to -1/2 1544611631.724 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611631.724 * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # 1544611631.725 * [enter]simplify: Simplifying (- 1) 1544611631.725 * * [misc]simplify: iters left: 2 (2 enodes) 1544611631.725 * * [misc]simplify: iters left: 1 (5 enodes) 1544611631.726 * [exit]simplify: Simplified to -1 1544611631.726 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611631.726 * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # 1544611631.726 * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # 1544611631.726 * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # 1544611631.726 * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # 1544611631.726 * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # 1544611631.726 * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # 1544611631.726 * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # 1544611631.727 * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # 1544611631.727 * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # 1544611631.727 * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # 1544611631.727 * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # 1544611631.727 * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # 1544611631.727 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544611631.727 * * [misc]simplify: iters left: 2 (3 enodes) 1544611631.728 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544611631.728 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611631.728 * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # 1544611631.728 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544611631.728 * * [misc]simplify: iters left: 2 (3 enodes) 1544611631.729 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544611631.729 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611631.729 * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # 1544611631.729 * [enter]simplify: Simplifying (sqrt k) 1544611631.729 * * [misc]simplify: iters left: 1 (2 enodes) 1544611631.729 * [exit]simplify: Simplified to (sqrt k) 1544611631.729 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611631.729 * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # 1544611631.729 * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # 1544611631.729 * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # 1544611631.729 * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # 1544611631.729 * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # 1544611631.729 * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # 1544611631.729 * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # 1544611631.730 * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # 1544611631.730 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611631.731 * * [misc]simplify: iters left: 6 (15 enodes) 1544611631.736 * * [misc]simplify: iters left: 5 (34 enodes) 1544611631.744 * * [misc]simplify: iters left: 4 (67 enodes) 1544611631.766 * * [misc]simplify: iters left: 3 (165 enodes) 1544611631.918 * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544611631.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544611631.918 * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # 1544611631.918 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611631.919 * * [misc]simplify: iters left: 6 (15 enodes) 1544611631.924 * * [misc]simplify: iters left: 5 (34 enodes) 1544611631.944 * * [misc]simplify: iters left: 4 (67 enodes) 1544611631.978 * * [misc]simplify: iters left: 3 (165 enodes) 1544611632.118 * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544611632.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544611632.118 * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # 1544611632.118 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611632.120 * * [misc]simplify: iters left: 6 (15 enodes) 1544611632.124 * * [misc]simplify: iters left: 5 (30 enodes) 1544611632.131 * * [misc]simplify: iters left: 4 (51 enodes) 1544611632.143 * * [misc]simplify: iters left: 3 (99 enodes) 1544611632.187 * * [misc]simplify: iters left: 2 (301 enodes) 1544611632.661 * [exit]simplify: Simplified to (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (- (log (sqrt k)))) 1544611632.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (- (log (sqrt k)))))) 1544611632.661 * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # 1544611632.661 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611632.663 * * [misc]simplify: iters left: 6 (15 enodes) 1544611632.674 * * [misc]simplify: iters left: 5 (38 enodes) 1544611632.692 * * [misc]simplify: iters left: 4 (71 enodes) 1544611632.736 * * [misc]simplify: iters left: 3 (173 enodes) 1544611632.955 * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))) 1544611632.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))))) 1544611632.956 * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # 1544611632.956 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611632.957 * * [misc]simplify: iters left: 6 (15 enodes) 1544611632.964 * * [misc]simplify: iters left: 5 (38 enodes) 1544611632.981 * * [misc]simplify: iters left: 4 (71 enodes) 1544611633.022 * * [misc]simplify: iters left: 3 (173 enodes) 1544611633.201 * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))) 1544611633.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))))) 1544611633.201 * * * * [misc]progress: [ 57 / 88 ] simplifiying candidate # 1544611633.202 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611633.203 * * [misc]simplify: iters left: 6 (15 enodes) 1544611633.208 * * [misc]simplify: iters left: 5 (34 enodes) 1544611633.216 * * [misc]simplify: iters left: 4 (55 enodes) 1544611633.241 * * [misc]simplify: iters left: 3 (107 enodes) 1544611633.304 * * [misc]simplify: iters left: 2 (347 enodes) 1544611633.946 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) 1544611633.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))))) 1544611633.946 * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # 1544611633.946 * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # 1544611633.946 * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # 1544611633.946 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611633.947 * * [misc]simplify: iters left: 6 (17 enodes) 1544611633.954 * * [misc]simplify: iters left: 5 (42 enodes) 1544611633.969 * * [misc]simplify: iters left: 4 (98 enodes) 1544611634.003 * * [misc]simplify: iters left: 3 (175 enodes) 1544611634.085 * * [misc]simplify: iters left: 2 (325 enodes) 1544611634.337 * * [misc]simplify: iters left: 1 (454 enodes) 1544611634.645 * [exit]simplify: Simplified to (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (sqrt k) k))) 1544611634.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (sqrt k) k))))) 1544611634.645 * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # 1544611634.645 * * * * [misc]progress: [ 62 / 88 ] simplifiying candidate # 1544611634.646 * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # 1544611634.646 * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # 1544611634.646 * [enter]simplify: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 1544611634.647 * * [misc]simplify: iters left: 6 (9 enodes) 1544611634.650 * * [misc]simplify: iters left: 5 (17 enodes) 1544611634.654 * * [misc]simplify: iters left: 4 (26 enodes) 1544611634.658 * * [misc]simplify: iters left: 3 (27 enodes) 1544611634.662 * [exit]simplify: Simplified to (sqrt (* PI (* 2 n))) 1544611634.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 1544611634.662 * [enter]simplify: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 1544611634.662 * * [misc]simplify: iters left: 6 (10 enodes) 1544611634.665 * * [misc]simplify: iters left: 5 (15 enodes) 1544611634.668 * * [misc]simplify: iters left: 4 (21 enodes) 1544611634.671 * * [misc]simplify: iters left: 3 (22 enodes) 1544611634.675 * [exit]simplify: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 1544611634.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 1544611634.675 * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # 1544611634.675 * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # 1544611634.675 * [enter]simplify: Simplifying (pow n (/ (- 1 k) 2)) 1544611634.676 * * [misc]simplify: iters left: 5 (7 enodes) 1544611634.678 * * [misc]simplify: iters left: 4 (15 enodes) 1544611634.681 * * [misc]simplify: iters left: 3 (18 enodes) 1544611634.686 * * [misc]simplify: iters left: 2 (20 enodes) 1544611634.690 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544611634.690 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2))))) 1544611634.690 * * * * [misc]progress: [ 67 / 88 ] simplifiying candidate # 1544611634.690 * [enter]simplify: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544611634.690 * * [misc]simplify: iters left: 6 (11 enodes) 1544611634.694 * * [misc]simplify: iters left: 5 (23 enodes) 1544611634.698 * * [misc]simplify: iters left: 4 (32 enodes) 1544611634.703 * * [misc]simplify: iters left: 3 (35 enodes) 1544611634.709 * [exit]simplify: Simplified to (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544611634.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 1544611634.709 * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # 1544611634.710 * [enter]simplify: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544611634.710 * * [misc]simplify: iters left: 6 (11 enodes) 1544611634.716 * * [misc]simplify: iters left: 5 (23 enodes) 1544611634.725 * * [misc]simplify: iters left: 4 (32 enodes) 1544611634.735 * * [misc]simplify: iters left: 3 (35 enodes) 1544611634.741 * [exit]simplify: Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544611634.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 1544611634.741 * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # 1544611634.741 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1544611634.742 * * [misc]simplify: iters left: 5 (10 enodes) 1544611634.745 * * [misc]simplify: iters left: 4 (22 enodes) 1544611634.750 * * [misc]simplify: iters left: 3 (31 enodes) 1544611634.756 * * [misc]simplify: iters left: 2 (34 enodes) 1544611634.764 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1544611634.764 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 1544611634.764 * * * * [misc]progress: [ 70 / 88 ] simplifiying candidate # 1544611634.764 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1544611634.765 * * [misc]simplify: iters left: 6 (6 enodes) 1544611634.767 * * [misc]simplify: iters left: 5 (8 enodes) 1544611634.770 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1544611634.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544611634.770 * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # 1544611634.770 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1544611634.771 * * [misc]simplify: iters left: 4 (5 enodes) 1544611634.773 * * [misc]simplify: iters left: 3 (7 enodes) 1544611634.775 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1544611634.775 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544611634.775 * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # 1544611634.775 * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # 1544611634.775 * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # 1544611634.775 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544611634.776 * * [misc]simplify: iters left: 5 (8 enodes) 1544611634.780 * * [misc]simplify: iters left: 4 (12 enodes) 1544611634.785 * * [misc]simplify: iters left: 3 (18 enodes) 1544611634.791 * * [misc]simplify: iters left: 2 (20 enodes) 1544611634.798 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544611634.798 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2)))) 1544611634.798 * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # 1544611634.798 * [enter]simplify: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544611634.799 * * [misc]simplify: iters left: 6 (11 enodes) 1544611634.806 * * [misc]simplify: iters left: 5 (24 enodes) 1544611634.816 * * [misc]simplify: iters left: 4 (35 enodes) 1544611634.826 * * [misc]simplify: iters left: 3 (38 enodes) 1544611634.834 * [exit]simplify: Simplified to (pow (* (* n PI) 2) (- 1/2 (/ k 2))) 1544611634.834 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544611634.834 * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # 1544611634.834 * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # 1544611634.834 * [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))))) 1544611634.837 * * [misc]simplify: iters left: 6 (37 enodes) 1544611634.852 * * [misc]simplify: iters left: 5 (108 enodes) 1544611634.932 * * [misc]simplify: iters left: 4 (368 enodes) 1544611635.542 * [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)))))) 1544611635.542 * [misc]simplify: Simplified (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)))))))) 1544611635.542 * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # 1544611635.542 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544611635.543 * * [misc]simplify: iters left: 6 (15 enodes) 1544611635.549 * * [misc]simplify: iters left: 5 (35 enodes) 1544611635.562 * * [misc]simplify: iters left: 4 (72 enodes) 1544611635.605 * * [misc]simplify: iters left: 3 (240 enodes) 1544611635.951 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n))) 1544611635.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n))))) 1544611635.951 * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # 1544611635.952 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544611635.953 * * [misc]simplify: iters left: 6 (16 enodes) 1544611635.958 * * [misc]simplify: iters left: 5 (35 enodes) 1544611635.971 * * [misc]simplify: iters left: 4 (76 enodes) 1544611636.018 * * [misc]simplify: iters left: 3 (278 enodes) 1544611636.422 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544611636.422 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544611636.423 * * * * [misc]progress: [ 80 / 88 ] simplifiying candidate # 1544611636.423 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1544611636.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611636.423 * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # 1544611636.423 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1544611636.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611636.423 * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # 1544611636.423 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1544611636.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611636.423 * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # 1544611636.423 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611636.424 * * [misc]simplify: iters left: 4 (5 enodes) 1544611636.425 * * [misc]simplify: iters left: 3 (9 enodes) 1544611636.427 * * [misc]simplify: iters left: 2 (15 enodes) 1544611636.430 * * [misc]simplify: iters left: 1 (17 enodes) 1544611636.433 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611636.433 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544611636.433 * * * * [misc]progress: [ 84 / 88 ] simplifiying candidate # 1544611636.433 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611636.433 * * [misc]simplify: iters left: 4 (5 enodes) 1544611636.435 * * [misc]simplify: iters left: 3 (9 enodes) 1544611636.438 * * [misc]simplify: iters left: 2 (15 enodes) 1544611636.443 * * [misc]simplify: iters left: 1 (17 enodes) 1544611636.449 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611636.449 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544611636.449 * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # 1544611636.451 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611636.451 * * [misc]simplify: iters left: 4 (5 enodes) 1544611636.454 * * [misc]simplify: iters left: 3 (9 enodes) 1544611636.458 * * [misc]simplify: iters left: 2 (15 enodes) 1544611636.463 * * [misc]simplify: iters left: 1 (17 enodes) 1544611636.468 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611636.468 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544611636.468 * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # 1544611636.469 * [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))))))))))))) 1544611636.469 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611636.469 * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # 1544611636.469 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1544611636.469 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611636.469 * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # 1544611636.469 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1544611636.469 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611636.470 * * * [misc]progress: adding candidates to table 1544611638.395 * * [misc]progress: iteration 3 / 4 1544611638.395 * * * [misc]progress: picking best candidate 1544611638.480 * * * * [misc]pick: Picked # 1544611638.480 * * * [misc]progress: localizing error 1544611638.492 * * * [misc]progress: generating rewritten candidates 1544611638.492 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) 1544611638.518 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) 1544611638.539 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1544611638.601 * * * [misc]progress: generating series expansions 1544611638.601 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) 1544611638.602 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1544611638.602 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1544611638.602 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.602 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.602 * [misc]backup-simplify: Simplify 1 into 1 1544611638.602 * [misc]taylor: Taking taylor expansion of k in k 1544611638.602 * [misc]backup-simplify: Simplify 0 into 0 1544611638.602 * [misc]backup-simplify: Simplify 1 into 1 1544611638.602 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.602 * [misc]backup-simplify: Simplify 2 into 2 1544611638.602 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611638.602 * [misc]taylor: Taking taylor expansion of n in k 1544611638.602 * [misc]backup-simplify: Simplify n into n 1544611638.602 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.602 * [misc]backup-simplify: Simplify PI into PI 1544611638.602 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611638.602 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611638.602 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611638.603 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.603 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611638.603 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611638.603 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611638.603 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611638.603 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.603 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.603 * [misc]backup-simplify: Simplify 1 into 1 1544611638.603 * [misc]taylor: Taking taylor expansion of k in n 1544611638.603 * [misc]backup-simplify: Simplify k into k 1544611638.603 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.603 * [misc]backup-simplify: Simplify 2 into 2 1544611638.603 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.603 * [misc]taylor: Taking taylor expansion of n in n 1544611638.603 * [misc]backup-simplify: Simplify 0 into 0 1544611638.603 * [misc]backup-simplify: Simplify 1 into 1 1544611638.603 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.604 * [misc]backup-simplify: Simplify PI into PI 1544611638.604 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.604 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.604 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.605 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.605 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.605 * [misc]backup-simplify: Simplify (- k) into (- k) 1544611638.605 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544611638.605 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544611638.606 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.606 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544611638.607 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544611638.607 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.607 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.607 * [misc]backup-simplify: Simplify 1 into 1 1544611638.607 * [misc]taylor: Taking taylor expansion of k in n 1544611638.607 * [misc]backup-simplify: Simplify k into k 1544611638.607 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.607 * [misc]backup-simplify: Simplify 2 into 2 1544611638.607 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.607 * [misc]taylor: Taking taylor expansion of n in n 1544611638.607 * [misc]backup-simplify: Simplify 0 into 0 1544611638.607 * [misc]backup-simplify: Simplify 1 into 1 1544611638.607 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.607 * [misc]backup-simplify: Simplify PI into PI 1544611638.608 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.608 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.609 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.610 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.610 * [misc]backup-simplify: Simplify (- k) into (- k) 1544611638.610 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544611638.610 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544611638.611 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.612 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544611638.613 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544611638.613 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.613 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.613 * [misc]backup-simplify: Simplify 1 into 1 1544611638.613 * [misc]taylor: Taking taylor expansion of k in k 1544611638.613 * [misc]backup-simplify: Simplify 0 into 0 1544611638.613 * [misc]backup-simplify: Simplify 1 into 1 1544611638.613 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of n in k 1544611638.613 * [misc]backup-simplify: Simplify n into n 1544611638.613 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611638.613 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611638.613 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.613 * [misc]backup-simplify: Simplify 2 into 2 1544611638.613 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.613 * [misc]backup-simplify: Simplify PI into PI 1544611638.614 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.614 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.615 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.615 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611638.615 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.616 * [misc]backup-simplify: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1544611638.617 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611638.617 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611638.618 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611638.619 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611638.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611638.624 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611638.624 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1544611638.625 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.626 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611638.628 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611638.628 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.628 * [misc]backup-simplify: Simplify 0 into 0 1544611638.628 * [misc]backup-simplify: Simplify 0 into 0 1544611638.629 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611638.630 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611638.633 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611638.633 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.634 * [misc]backup-simplify: Simplify (- 1) into -1 1544611638.634 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611638.635 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1544611638.636 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544611638.638 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1544611638.640 * [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))))))) 1544611638.642 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.644 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611638.650 * [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 1544611638.650 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1544611638.652 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.652 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611638.655 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611638.655 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.655 * [misc]backup-simplify: Simplify 0 into 0 1544611638.655 * [misc]backup-simplify: Simplify 0 into 0 1544611638.655 * [misc]backup-simplify: Simplify 0 into 0 1544611638.657 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611638.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611638.664 * [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 1544611638.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.664 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.665 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611638.667 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611638.674 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 1544611638.677 * [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))))) 1544611638.683 * [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))))) 1544611638.683 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1544611638.683 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1544611638.683 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544611638.683 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611638.683 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611638.683 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544611638.683 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.684 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611638.684 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.684 * [misc]backup-simplify: Simplify 1 into 1 1544611638.684 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.684 * [misc]taylor: Taking taylor expansion of k in k 1544611638.684 * [misc]backup-simplify: Simplify 0 into 0 1544611638.684 * [misc]backup-simplify: Simplify 1 into 1 1544611638.684 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.684 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611638.684 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611638.684 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.684 * [misc]backup-simplify: Simplify 2 into 2 1544611638.684 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611638.684 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.684 * [misc]backup-simplify: Simplify PI into PI 1544611638.684 * [misc]taylor: Taking taylor expansion of n in k 1544611638.684 * [misc]backup-simplify: Simplify n into n 1544611638.684 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611638.684 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611638.684 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611638.684 * [misc]backup-simplify: Simplify (- 1) into -1 1544611638.684 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611638.684 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544611638.685 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611638.685 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544611638.685 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.685 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.685 * [misc]backup-simplify: Simplify 1 into 1 1544611638.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of k in n 1544611638.685 * [misc]backup-simplify: Simplify k into k 1544611638.685 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.685 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.685 * [misc]backup-simplify: Simplify 2 into 2 1544611638.685 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.685 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.685 * [misc]backup-simplify: Simplify PI into PI 1544611638.685 * [misc]taylor: Taking taylor expansion of n in n 1544611638.685 * [misc]backup-simplify: Simplify 0 into 0 1544611638.685 * [misc]backup-simplify: Simplify 1 into 1 1544611638.685 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.686 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.686 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.686 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611638.686 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611638.686 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544611638.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.687 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611638.687 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.688 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.688 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.688 * [misc]backup-simplify: Simplify 1 into 1 1544611638.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of k in n 1544611638.688 * [misc]backup-simplify: Simplify k into k 1544611638.688 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.688 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.688 * [misc]backup-simplify: Simplify 2 into 2 1544611638.688 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.688 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.688 * [misc]backup-simplify: Simplify PI into PI 1544611638.688 * [misc]taylor: Taking taylor expansion of n in n 1544611638.688 * [misc]backup-simplify: Simplify 0 into 0 1544611638.688 * [misc]backup-simplify: Simplify 1 into 1 1544611638.688 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.688 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.689 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.689 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611638.689 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611638.689 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544611638.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.690 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611638.690 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.690 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1544611638.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1544611638.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.690 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1544611638.690 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611638.690 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.690 * [misc]backup-simplify: Simplify 1 into 1 1544611638.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.690 * [misc]taylor: Taking taylor expansion of k in k 1544611638.690 * [misc]backup-simplify: Simplify 0 into 0 1544611638.690 * [misc]backup-simplify: Simplify 1 into 1 1544611638.691 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.691 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611638.691 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611638.691 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611638.691 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.691 * [misc]backup-simplify: Simplify 2 into 2 1544611638.691 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.691 * [misc]backup-simplify: Simplify PI into PI 1544611638.691 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.691 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.691 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611638.691 * [misc]taylor: Taking taylor expansion of n in k 1544611638.691 * [misc]backup-simplify: Simplify n into n 1544611638.691 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611638.691 * [misc]backup-simplify: Simplify (- 1) into -1 1544611638.692 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611638.692 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611638.692 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611638.692 * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1544611638.693 * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611638.694 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.694 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611638.695 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611638.697 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611638.697 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611638.697 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.698 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1544611638.698 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.699 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611638.700 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611638.700 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.700 * [misc]backup-simplify: Simplify 0 into 0 1544611638.700 * [misc]backup-simplify: Simplify 0 into 0 1544611638.700 * [misc]backup-simplify: Simplify 0 into 0 1544611638.701 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611638.705 * [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 1544611638.705 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611638.705 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.706 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1544611638.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.707 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611638.709 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611638.709 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.709 * [misc]backup-simplify: Simplify 0 into 0 1544611638.709 * [misc]backup-simplify: Simplify 0 into 0 1544611638.709 * [misc]backup-simplify: Simplify 0 into 0 1544611638.709 * [misc]backup-simplify: Simplify 0 into 0 1544611638.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.716 * [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 1544611638.716 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611638.717 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1544611638.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.718 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611638.720 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 1544611638.720 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.720 * [misc]backup-simplify: Simplify 0 into 0 1544611638.720 * [misc]backup-simplify: Simplify 0 into 0 1544611638.721 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544611638.721 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1544611638.721 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1544611638.721 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.722 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of k in k 1544611638.722 * [misc]backup-simplify: Simplify 0 into 0 1544611638.722 * [misc]backup-simplify: Simplify 1 into 1 1544611638.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.722 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.722 * [misc]backup-simplify: Simplify 1 into 1 1544611638.722 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of -2 in k 1544611638.722 * [misc]backup-simplify: Simplify -2 into -2 1544611638.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611638.722 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.722 * [misc]backup-simplify: Simplify PI into PI 1544611638.722 * [misc]taylor: Taking taylor expansion of n in k 1544611638.722 * [misc]backup-simplify: Simplify n into n 1544611638.722 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611638.722 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611638.722 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611638.722 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611638.723 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611638.723 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611638.723 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544611638.723 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.723 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of k in n 1544611638.723 * [misc]backup-simplify: Simplify k into k 1544611638.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.723 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.723 * [misc]backup-simplify: Simplify 1 into 1 1544611638.723 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of -2 in n 1544611638.723 * [misc]backup-simplify: Simplify -2 into -2 1544611638.723 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.723 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.723 * [misc]backup-simplify: Simplify PI into PI 1544611638.723 * [misc]taylor: Taking taylor expansion of n in n 1544611638.723 * [misc]backup-simplify: Simplify 0 into 0 1544611638.723 * [misc]backup-simplify: Simplify 1 into 1 1544611638.723 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.724 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611638.724 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611638.724 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611638.724 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544611638.725 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611638.725 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611638.726 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611638.726 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.726 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of k in n 1544611638.726 * [misc]backup-simplify: Simplify k into k 1544611638.726 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.726 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.726 * [misc]backup-simplify: Simplify 1 into 1 1544611638.726 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of -2 in n 1544611638.726 * [misc]backup-simplify: Simplify -2 into -2 1544611638.726 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.726 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.726 * [misc]backup-simplify: Simplify PI into PI 1544611638.726 * [misc]taylor: Taking taylor expansion of n in n 1544611638.726 * [misc]backup-simplify: Simplify 0 into 0 1544611638.726 * [misc]backup-simplify: Simplify 1 into 1 1544611638.726 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.726 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611638.727 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611638.727 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611638.727 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544611638.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611638.728 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611638.728 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611638.728 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1544611638.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1544611638.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.728 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1544611638.728 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611638.728 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.728 * [misc]taylor: Taking taylor expansion of k in k 1544611638.728 * [misc]backup-simplify: Simplify 0 into 0 1544611638.728 * [misc]backup-simplify: Simplify 1 into 1 1544611638.729 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.729 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.729 * [misc]backup-simplify: Simplify 1 into 1 1544611638.729 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611638.729 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611638.729 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611638.729 * [misc]taylor: Taking taylor expansion of -2 in k 1544611638.729 * [misc]backup-simplify: Simplify -2 into -2 1544611638.729 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.729 * [misc]backup-simplify: Simplify PI into PI 1544611638.729 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611638.729 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611638.729 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611638.729 * [misc]taylor: Taking taylor expansion of n in k 1544611638.729 * [misc]backup-simplify: Simplify n into n 1544611638.729 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611638.729 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611638.729 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611638.730 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611638.730 * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1544611638.731 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611638.731 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611638.732 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611638.732 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611638.733 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611638.735 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611638.735 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611638.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1544611638.735 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611638.736 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611638.737 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611638.737 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.737 * [misc]backup-simplify: Simplify 0 into 0 1544611638.737 * [misc]backup-simplify: Simplify 0 into 0 1544611638.737 * [misc]backup-simplify: Simplify 0 into 0 1544611638.738 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.739 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611638.742 * [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 1544611638.742 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611638.742 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.742 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1544611638.743 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611638.744 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611638.747 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611638.747 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.747 * [misc]backup-simplify: Simplify 0 into 0 1544611638.747 * [misc]backup-simplify: Simplify 0 into 0 1544611638.747 * [misc]backup-simplify: Simplify 0 into 0 1544611638.747 * [misc]backup-simplify: Simplify 0 into 0 1544611638.749 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.751 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.760 * [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 1544611638.760 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611638.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 1544611638.762 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611638.763 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544611638.767 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544611638.767 * [misc]taylor: Taking taylor expansion of 0 in k 1544611638.767 * [misc]backup-simplify: Simplify 0 into 0 1544611638.767 * [misc]backup-simplify: Simplify 0 into 0 1544611638.768 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544611638.768 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) 1544611638.768 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544611638.769 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544611638.769 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.769 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.769 * [misc]backup-simplify: Simplify 2 into 2 1544611638.769 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.769 * [misc]taylor: Taking taylor expansion of n in n 1544611638.769 * [misc]backup-simplify: Simplify 0 into 0 1544611638.769 * [misc]backup-simplify: Simplify 1 into 1 1544611638.769 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.769 * [misc]backup-simplify: Simplify PI into PI 1544611638.769 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.769 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.769 * [misc]backup-simplify: Simplify 2 into 2 1544611638.769 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.769 * [misc]taylor: Taking taylor expansion of n in n 1544611638.769 * [misc]backup-simplify: Simplify 0 into 0 1544611638.769 * [misc]backup-simplify: Simplify 1 into 1 1544611638.769 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.769 * [misc]backup-simplify: Simplify PI into PI 1544611638.769 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.770 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.770 * [misc]backup-simplify: Simplify 0 into 0 1544611638.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.771 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.771 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.773 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611638.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611638.774 * [misc]backup-simplify: Simplify 0 into 0 1544611638.776 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.777 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611638.778 * [misc]backup-simplify: Simplify 0 into 0 1544611638.780 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611638.785 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544611638.785 * [misc]backup-simplify: Simplify 0 into 0 1544611638.788 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611638.791 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544611638.791 * [misc]backup-simplify: Simplify 0 into 0 1544611638.795 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611638.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544611638.798 * [misc]backup-simplify: Simplify 0 into 0 1544611638.803 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544611638.808 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544611638.808 * [misc]backup-simplify: Simplify 0 into 0 1544611638.808 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544611638.809 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 1544611638.809 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544611638.809 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.809 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.809 * [misc]backup-simplify: Simplify 2 into 2 1544611638.809 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.809 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.809 * [misc]backup-simplify: Simplify PI into PI 1544611638.809 * [misc]taylor: Taking taylor expansion of n in n 1544611638.809 * [misc]backup-simplify: Simplify 0 into 0 1544611638.809 * [misc]backup-simplify: Simplify 1 into 1 1544611638.809 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.810 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.810 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.810 * [misc]backup-simplify: Simplify 2 into 2 1544611638.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.810 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.810 * [misc]backup-simplify: Simplify PI into PI 1544611638.810 * [misc]taylor: Taking taylor expansion of n in n 1544611638.810 * [misc]backup-simplify: Simplify 0 into 0 1544611638.810 * [misc]backup-simplify: Simplify 1 into 1 1544611638.810 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.810 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.811 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611638.812 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611638.813 * [misc]backup-simplify: Simplify 0 into 0 1544611638.814 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611638.815 * [misc]backup-simplify: Simplify 0 into 0 1544611638.817 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.818 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.818 * [misc]backup-simplify: Simplify 0 into 0 1544611638.820 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.823 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611638.823 * [misc]backup-simplify: Simplify 0 into 0 1544611638.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611638.828 * [misc]backup-simplify: Simplify 0 into 0 1544611638.830 * [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 1544611638.834 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611638.834 * [misc]backup-simplify: Simplify 0 into 0 1544611638.834 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544611638.834 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 1544611638.834 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544611638.835 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611638.835 * [misc]taylor: Taking taylor expansion of -2 in n 1544611638.835 * [misc]backup-simplify: Simplify -2 into -2 1544611638.835 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.835 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.835 * [misc]backup-simplify: Simplify PI into PI 1544611638.835 * [misc]taylor: Taking taylor expansion of n in n 1544611638.835 * [misc]backup-simplify: Simplify 0 into 0 1544611638.835 * [misc]backup-simplify: Simplify 1 into 1 1544611638.835 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.835 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611638.835 * [misc]taylor: Taking taylor expansion of -2 in n 1544611638.835 * [misc]backup-simplify: Simplify -2 into -2 1544611638.835 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.835 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.835 * [misc]backup-simplify: Simplify PI into PI 1544611638.835 * [misc]taylor: Taking taylor expansion of n in n 1544611638.835 * [misc]backup-simplify: Simplify 0 into 0 1544611638.835 * [misc]backup-simplify: Simplify 1 into 1 1544611638.836 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.836 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611638.836 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611638.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611638.838 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611638.838 * [misc]backup-simplify: Simplify 0 into 0 1544611638.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.841 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611638.841 * [misc]backup-simplify: Simplify 0 into 0 1544611638.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.844 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.844 * [misc]backup-simplify: Simplify 0 into 0 1544611638.846 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.848 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611638.849 * [misc]backup-simplify: Simplify 0 into 0 1544611638.851 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.854 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611638.854 * [misc]backup-simplify: Simplify 0 into 0 1544611638.856 * [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 1544611638.858 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611638.858 * [misc]backup-simplify: Simplify 0 into 0 1544611638.858 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544611638.858 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1544611638.859 * [misc]backup-simplify: Simplify (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 1544611638.859 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 1544611638.859 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.859 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.859 * [misc]backup-simplify: Simplify 1 into 1 1544611638.859 * [misc]taylor: Taking taylor expansion of k in n 1544611638.859 * [misc]backup-simplify: Simplify k into k 1544611638.859 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.859 * [misc]backup-simplify: Simplify 2 into 2 1544611638.859 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.859 * [misc]taylor: Taking taylor expansion of n in n 1544611638.859 * [misc]backup-simplify: Simplify 0 into 0 1544611638.859 * [misc]backup-simplify: Simplify 1 into 1 1544611638.859 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.859 * [misc]backup-simplify: Simplify PI into PI 1544611638.860 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.860 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.860 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.861 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.861 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.861 * [misc]backup-simplify: Simplify (- k) into (- k) 1544611638.861 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544611638.861 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544611638.861 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.862 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544611638.862 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544611638.862 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544611638.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.862 * [misc]taylor: Taking taylor expansion of k in n 1544611638.862 * [misc]backup-simplify: Simplify k into k 1544611638.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.863 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544611638.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611638.863 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544611638.863 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.863 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.863 * [misc]backup-simplify: Simplify 1 into 1 1544611638.863 * [misc]taylor: Taking taylor expansion of k in k 1544611638.863 * [misc]backup-simplify: Simplify 0 into 0 1544611638.863 * [misc]backup-simplify: Simplify 1 into 1 1544611638.863 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.863 * [misc]backup-simplify: Simplify 2 into 2 1544611638.863 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611638.863 * [misc]taylor: Taking taylor expansion of n in k 1544611638.863 * [misc]backup-simplify: Simplify n into n 1544611638.863 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.863 * [misc]backup-simplify: Simplify PI into PI 1544611638.863 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611638.863 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611638.863 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611638.863 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.863 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611638.864 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611638.864 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611638.864 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611638.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611638.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.864 * [misc]taylor: Taking taylor expansion of k in k 1544611638.864 * [misc]backup-simplify: Simplify 0 into 0 1544611638.864 * [misc]backup-simplify: Simplify 1 into 1 1544611638.864 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.864 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611638.864 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544611638.864 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.865 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.865 * [misc]backup-simplify: Simplify 1 into 1 1544611638.865 * [misc]taylor: Taking taylor expansion of k in k 1544611638.865 * [misc]backup-simplify: Simplify 0 into 0 1544611638.865 * [misc]backup-simplify: Simplify 1 into 1 1544611638.865 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.865 * [misc]backup-simplify: Simplify 2 into 2 1544611638.865 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611638.865 * [misc]taylor: Taking taylor expansion of n in k 1544611638.865 * [misc]backup-simplify: Simplify n into n 1544611638.865 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.865 * [misc]backup-simplify: Simplify PI into PI 1544611638.865 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611638.865 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611638.865 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611638.865 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.865 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611638.865 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611638.865 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611638.866 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611638.866 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611638.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.866 * [misc]taylor: Taking taylor expansion of k in k 1544611638.866 * [misc]backup-simplify: Simplify 0 into 0 1544611638.866 * [misc]backup-simplify: Simplify 1 into 1 1544611638.866 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.866 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.866 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611638.866 * [misc]backup-simplify: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 1544611638.866 * [misc]taylor: Taking taylor expansion of 0 in n 1544611638.867 * [misc]backup-simplify: Simplify 0 into 0 1544611638.867 * [misc]backup-simplify: Simplify 0 into 0 1544611638.867 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544611638.867 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544611638.868 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544611638.868 * [misc]backup-simplify: Simplify (- 1) into -1 1544611638.868 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611638.868 * [misc]backup-simplify: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 1544611638.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544611638.869 * [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))))) 1544611638.869 * [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))))) 1544611638.869 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544611638.869 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544611638.869 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.869 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.869 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544611638.869 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611638.869 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.869 * [misc]backup-simplify: Simplify 2 into 2 1544611638.870 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611638.870 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611638.870 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611638.870 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.870 * [misc]taylor: Taking taylor expansion of n in n 1544611638.870 * [misc]backup-simplify: Simplify 0 into 0 1544611638.870 * [misc]backup-simplify: Simplify 1 into 1 1544611638.870 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.870 * [misc]backup-simplify: Simplify PI into PI 1544611638.870 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.870 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.871 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611638.871 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544611638.871 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611638.871 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.871 * [misc]backup-simplify: Simplify 0 into 0 1544611638.871 * [misc]backup-simplify: Simplify 0 into 0 1544611638.871 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544611638.872 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611638.873 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1544611638.873 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1544611638.874 * [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 1544611638.874 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 1544611638.875 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1544611638.876 * [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))) 1544611638.878 * [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))))))) 1544611638.878 * [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 1544611638.878 * [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 1544611638.878 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.878 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.878 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.878 * [misc]backup-simplify: Simplify 2 into 2 1544611638.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611638.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611638.878 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.878 * [misc]backup-simplify: Simplify 2 into 2 1544611638.878 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.878 * [misc]taylor: Taking taylor expansion of n in n 1544611638.878 * [misc]backup-simplify: Simplify 0 into 0 1544611638.878 * [misc]backup-simplify: Simplify 1 into 1 1544611638.878 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.878 * [misc]backup-simplify: Simplify PI into PI 1544611638.878 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.879 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.879 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.879 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.880 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.880 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611638.880 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.880 * [misc]taylor: Taking taylor expansion of n in n 1544611638.880 * [misc]backup-simplify: Simplify 0 into 0 1544611638.880 * [misc]backup-simplify: Simplify 1 into 1 1544611638.880 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.880 * [misc]backup-simplify: Simplify PI into PI 1544611638.880 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.881 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.881 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611638.881 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544611638.881 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544611638.881 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.881 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.881 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544611638.881 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611638.881 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.881 * [misc]backup-simplify: Simplify 2 into 2 1544611638.881 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611638.881 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611638.881 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611638.881 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.881 * [misc]taylor: Taking taylor expansion of n in n 1544611638.881 * [misc]backup-simplify: Simplify 0 into 0 1544611638.881 * [misc]backup-simplify: Simplify 1 into 1 1544611638.881 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.882 * [misc]backup-simplify: Simplify PI into PI 1544611638.882 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.882 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.882 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.883 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611638.883 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.884 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544611638.884 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544611638.884 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611638.884 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544611638.884 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611638.884 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.885 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.885 * [misc]backup-simplify: Simplify 0 into 0 1544611638.885 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.887 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.887 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.888 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.888 * [misc]backup-simplify: Simplify 0 into 0 1544611638.888 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611638.889 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611638.890 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611638.890 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1544611638.893 * [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 1544611638.893 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1544611638.894 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1544611638.896 * [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))) 1544611638.901 * [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))))))))) 1544611638.901 * [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 1544611638.901 * [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 1544611638.901 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544611638.901 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.901 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.901 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544611638.901 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544611638.901 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611638.901 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.901 * [misc]backup-simplify: Simplify 2 into 2 1544611638.901 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611638.902 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611638.902 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611638.902 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.902 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.902 * [misc]backup-simplify: Simplify 2 into 2 1544611638.902 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.902 * [misc]taylor: Taking taylor expansion of n in n 1544611638.902 * [misc]backup-simplify: Simplify 0 into 0 1544611638.902 * [misc]backup-simplify: Simplify 1 into 1 1544611638.902 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.902 * [misc]backup-simplify: Simplify PI into PI 1544611638.902 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.902 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.903 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.903 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.903 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.903 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611638.903 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.904 * [misc]taylor: Taking taylor expansion of n in n 1544611638.904 * [misc]backup-simplify: Simplify 0 into 0 1544611638.904 * [misc]backup-simplify: Simplify 1 into 1 1544611638.904 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.904 * [misc]backup-simplify: Simplify PI into PI 1544611638.904 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.905 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611638.905 * [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 1544611638.905 * [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 1544611638.905 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544611638.905 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.905 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.905 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544611638.905 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611638.905 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.905 * [misc]backup-simplify: Simplify 2 into 2 1544611638.905 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611638.905 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611638.905 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611638.905 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.905 * [misc]taylor: Taking taylor expansion of n in n 1544611638.905 * [misc]backup-simplify: Simplify 0 into 0 1544611638.905 * [misc]backup-simplify: Simplify 1 into 1 1544611638.905 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.905 * [misc]backup-simplify: Simplify PI into PI 1544611638.906 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.906 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.907 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611638.907 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.907 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.907 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.907 * [misc]backup-simplify: Simplify 2 into 2 1544611638.907 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544611638.907 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544611638.907 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.907 * [misc]backup-simplify: Simplify 2 into 2 1544611638.907 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.907 * [misc]taylor: Taking taylor expansion of n in n 1544611638.907 * [misc]backup-simplify: Simplify 0 into 0 1544611638.907 * [misc]backup-simplify: Simplify 1 into 1 1544611638.907 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.907 * [misc]backup-simplify: Simplify PI into PI 1544611638.907 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.908 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611638.908 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.908 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611638.909 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.909 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.909 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544611638.909 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611638.909 * [misc]taylor: Taking taylor expansion of n in n 1544611638.909 * [misc]backup-simplify: Simplify 0 into 0 1544611638.909 * [misc]backup-simplify: Simplify 1 into 1 1544611638.909 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.909 * [misc]backup-simplify: Simplify PI into PI 1544611638.909 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611638.910 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611638.910 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.910 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544611638.911 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.911 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544611638.912 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544611638.912 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611638.912 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544611638.912 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611638.912 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.913 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.914 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1544611638.914 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1544611638.915 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1544611638.915 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544611638.916 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.916 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.916 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.916 * [misc]backup-simplify: Simplify 0 into 0 1544611638.917 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611638.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611638.919 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611638.920 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611638.920 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611638.921 * [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)))))))) 1544611638.923 * [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)))))))) 1544611638.924 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.926 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.927 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544611638.931 * [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)))))))))) 1544611638.936 * [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))))))) 1544611638.940 * [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))))))) 1544611638.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611638.941 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544611638.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544611638.944 * [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)))) 1544611638.947 * [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)))) 1544611638.948 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544611638.949 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544611638.954 * [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))))))))))))) 1544611638.955 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) -1/2) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1544611638.955 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1544611638.955 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.955 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.955 * [misc]backup-simplify: Simplify 1 into 1 1544611638.955 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of k in n 1544611638.955 * [misc]backup-simplify: Simplify k into k 1544611638.955 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.955 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.955 * [misc]backup-simplify: Simplify 2 into 2 1544611638.955 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.955 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.955 * [misc]backup-simplify: Simplify PI into PI 1544611638.956 * [misc]taylor: Taking taylor expansion of n in n 1544611638.956 * [misc]backup-simplify: Simplify 0 into 0 1544611638.956 * [misc]backup-simplify: Simplify 1 into 1 1544611638.956 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.956 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.956 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.956 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611638.956 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611638.956 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544611638.957 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.958 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611638.958 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.958 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544611638.958 * [misc]taylor: Taking taylor expansion of k in n 1544611638.958 * [misc]backup-simplify: Simplify k into k 1544611638.958 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544611638.958 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544611638.958 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544611638.958 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544611638.958 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611638.958 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611638.958 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544611638.958 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.958 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611638.958 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.958 * [misc]backup-simplify: Simplify 1 into 1 1544611638.958 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.959 * [misc]taylor: Taking taylor expansion of k in k 1544611638.959 * [misc]backup-simplify: Simplify 0 into 0 1544611638.959 * [misc]backup-simplify: Simplify 1 into 1 1544611638.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.959 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611638.959 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611638.959 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.959 * [misc]backup-simplify: Simplify 2 into 2 1544611638.959 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611638.959 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.959 * [misc]backup-simplify: Simplify PI into PI 1544611638.959 * [misc]taylor: Taking taylor expansion of n in k 1544611638.959 * [misc]backup-simplify: Simplify n into n 1544611638.959 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611638.959 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611638.959 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611638.959 * [misc]backup-simplify: Simplify (- 1) into -1 1544611638.959 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611638.959 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544611638.959 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611638.960 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544611638.960 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of k in k 1544611638.960 * [misc]backup-simplify: Simplify 0 into 0 1544611638.960 * [misc]backup-simplify: Simplify 1 into 1 1544611638.960 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.960 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611638.960 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611638.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.960 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of 1 in k 1544611638.960 * [misc]backup-simplify: Simplify 1 into 1 1544611638.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611638.960 * [misc]taylor: Taking taylor expansion of k in k 1544611638.960 * [misc]backup-simplify: Simplify 0 into 0 1544611638.960 * [misc]backup-simplify: Simplify 1 into 1 1544611638.960 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611638.960 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611638.961 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611638.961 * [misc]taylor: Taking taylor expansion of 2 in k 1544611638.961 * [misc]backup-simplify: Simplify 2 into 2 1544611638.961 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611638.961 * [misc]taylor: Taking taylor expansion of PI in k 1544611638.961 * [misc]backup-simplify: Simplify PI into PI 1544611638.961 * [misc]taylor: Taking taylor expansion of n in k 1544611638.961 * [misc]backup-simplify: Simplify n into n 1544611638.961 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611638.961 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611638.961 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611638.961 * [misc]backup-simplify: Simplify (- 1) into -1 1544611638.961 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544611638.961 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544611638.961 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611638.961 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544611638.962 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611638.962 * [misc]taylor: Taking taylor expansion of k in k 1544611638.962 * [misc]backup-simplify: Simplify 0 into 0 1544611638.962 * [misc]backup-simplify: Simplify 1 into 1 1544611638.962 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611638.962 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611638.962 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1544611638.962 * [misc]taylor: Taking taylor expansion of 0 in n 1544611638.962 * [misc]backup-simplify: Simplify 0 into 0 1544611638.962 * [misc]backup-simplify: Simplify 0 into 0 1544611638.963 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544611638.963 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.963 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.963 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.963 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.963 * [misc]backup-simplify: Simplify 1 into 1 1544611638.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of k in n 1544611638.963 * [misc]backup-simplify: Simplify k into k 1544611638.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.963 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.963 * [misc]backup-simplify: Simplify 2 into 2 1544611638.963 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.963 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.963 * [misc]backup-simplify: Simplify PI into PI 1544611638.963 * [misc]taylor: Taking taylor expansion of n in n 1544611638.963 * [misc]backup-simplify: Simplify 0 into 0 1544611638.963 * [misc]backup-simplify: Simplify 1 into 1 1544611638.963 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.964 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.964 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.964 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611638.964 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611638.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.965 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544611638.965 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611638.966 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.966 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544611638.967 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611638.967 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611638.968 * [misc]backup-simplify: Simplify 0 into 0 1544611638.969 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611638.969 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544611638.969 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544611638.969 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544611638.969 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.970 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.970 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.970 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.970 * [misc]backup-simplify: Simplify 1 into 1 1544611638.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of k in n 1544611638.970 * [misc]backup-simplify: Simplify k into k 1544611638.970 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.970 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.970 * [misc]backup-simplify: Simplify 2 into 2 1544611638.970 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.970 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.970 * [misc]backup-simplify: Simplify PI into PI 1544611638.970 * [misc]taylor: Taking taylor expansion of n in n 1544611638.970 * [misc]backup-simplify: Simplify 0 into 0 1544611638.970 * [misc]backup-simplify: Simplify 1 into 1 1544611638.971 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.971 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.971 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.972 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611638.972 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611638.973 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.973 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544611638.974 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611638.975 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.976 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544611638.976 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611638.977 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611638.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611638.980 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611638.983 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611638.983 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611638.983 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611638.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.985 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611638.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1544611638.988 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611638.989 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1544611638.989 * [misc]backup-simplify: Simplify (- 0) into 0 1544611638.989 * [misc]backup-simplify: Simplify 0 into 0 1544611638.989 * [misc]backup-simplify: Simplify 0 into 0 1544611638.990 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611638.991 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544611638.991 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611638.991 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611638.991 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611638.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611638.991 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of 1 in n 1544611638.991 * [misc]backup-simplify: Simplify 1 into 1 1544611638.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611638.991 * [misc]taylor: Taking taylor expansion of k in n 1544611638.992 * [misc]backup-simplify: Simplify k into k 1544611638.992 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611638.992 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611638.992 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611638.992 * [misc]taylor: Taking taylor expansion of 2 in n 1544611638.992 * [misc]backup-simplify: Simplify 2 into 2 1544611638.992 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611638.992 * [misc]taylor: Taking taylor expansion of PI in n 1544611638.992 * [misc]backup-simplify: Simplify PI into PI 1544611638.992 * [misc]taylor: Taking taylor expansion of n in n 1544611638.992 * [misc]backup-simplify: Simplify 0 into 0 1544611638.992 * [misc]backup-simplify: Simplify 1 into 1 1544611638.992 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611638.993 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611638.993 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611638.993 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544611638.993 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544611638.994 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611638.995 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544611638.996 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544611638.997 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544611638.997 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544611638.998 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611638.999 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544611639.003 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1544611639.004 * [misc]backup-simplify: Simplify (* (pow (/ 1 (- k)) -1/2) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) 1544611639.004 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in (k n) around 0 1544611639.004 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in n 1544611639.004 * [misc]taylor: Taking taylor expansion of (sqrt (/ k -1)) in n 1544611639.004 * [misc]taylor: Taking taylor expansion of (/ k -1) in n 1544611639.004 * [misc]taylor: Taking taylor expansion of k in n 1544611639.004 * [misc]backup-simplify: Simplify k into k 1544611639.004 * [misc]taylor: Taking taylor expansion of -1 in n 1544611639.005 * [misc]backup-simplify: Simplify -1 into -1 1544611639.005 * [misc]backup-simplify: Simplify (/ k -1) into (* -1 k) 1544611639.005 * [misc]backup-simplify: Simplify (sqrt (* -1 k)) into (sqrt (* -1 k)) 1544611639.005 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 k) (/ 0 -1)))) into 0 1544611639.005 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 k)))) into 0 1544611639.005 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544611639.005 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544611639.005 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544611639.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544611639.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611639.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611639.005 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611639.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611639.005 * [misc]taylor: Taking taylor expansion of k in n 1544611639.005 * [misc]backup-simplify: Simplify k into k 1544611639.006 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611639.006 * [misc]taylor: Taking taylor expansion of 1 in n 1544611639.006 * [misc]backup-simplify: Simplify 1 into 1 1544611639.006 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611639.006 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611639.006 * [misc]taylor: Taking taylor expansion of -2 in n 1544611639.006 * [misc]backup-simplify: Simplify -2 into -2 1544611639.006 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611639.006 * [misc]taylor: Taking taylor expansion of PI in n 1544611639.006 * [misc]backup-simplify: Simplify PI into PI 1544611639.006 * [misc]taylor: Taking taylor expansion of n in n 1544611639.006 * [misc]backup-simplify: Simplify 0 into 0 1544611639.006 * [misc]backup-simplify: Simplify 1 into 1 1544611639.006 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611639.007 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611639.007 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611639.007 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611639.007 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544611639.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611639.009 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611639.010 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611639.010 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 1544611639.010 * [misc]taylor: Taking taylor expansion of (sqrt (/ k -1)) in k 1544611639.010 * [misc]taylor: Taking taylor expansion of (/ k -1) in k 1544611639.010 * [misc]taylor: Taking taylor expansion of k in k 1544611639.010 * [misc]backup-simplify: Simplify 0 into 0 1544611639.010 * [misc]backup-simplify: Simplify 1 into 1 1544611639.010 * [misc]taylor: Taking taylor expansion of -1 in k 1544611639.010 * [misc]backup-simplify: Simplify -1 into -1 1544611639.011 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 1544611639.011 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611639.011 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611639.011 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544611639.011 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544611639.011 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544611639.011 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544611639.011 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611639.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611639.011 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611639.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611639.011 * [misc]taylor: Taking taylor expansion of k in k 1544611639.011 * [misc]backup-simplify: Simplify 0 into 0 1544611639.012 * [misc]backup-simplify: Simplify 1 into 1 1544611639.012 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611639.012 * [misc]taylor: Taking taylor expansion of 1 in k 1544611639.012 * [misc]backup-simplify: Simplify 1 into 1 1544611639.012 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611639.012 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611639.012 * [misc]taylor: Taking taylor expansion of -2 in k 1544611639.012 * [misc]backup-simplify: Simplify -2 into -2 1544611639.012 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611639.012 * [misc]taylor: Taking taylor expansion of PI in k 1544611639.012 * [misc]backup-simplify: Simplify PI into PI 1544611639.012 * [misc]taylor: Taking taylor expansion of n in k 1544611639.012 * [misc]backup-simplify: Simplify n into n 1544611639.012 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611639.014 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611639.014 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611639.014 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611639.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611639.015 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611639.015 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544611639.015 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ k -1)) (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))) in k 1544611639.015 * [misc]taylor: Taking taylor expansion of (sqrt (/ k -1)) in k 1544611639.015 * [misc]taylor: Taking taylor expansion of (/ k -1) in k 1544611639.015 * [misc]taylor: Taking taylor expansion of k in k 1544611639.015 * [misc]backup-simplify: Simplify 0 into 0 1544611639.015 * [misc]backup-simplify: Simplify 1 into 1 1544611639.015 * [misc]taylor: Taking taylor expansion of -1 in k 1544611639.015 * [misc]backup-simplify: Simplify -1 into -1 1544611639.016 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 1544611639.016 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611639.016 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611639.016 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544611639.016 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544611639.016 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544611639.016 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544611639.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611639.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611639.016 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544611639.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611639.016 * [misc]taylor: Taking taylor expansion of k in k 1544611639.016 * [misc]backup-simplify: Simplify 0 into 0 1544611639.017 * [misc]backup-simplify: Simplify 1 into 1 1544611639.017 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611639.017 * [misc]taylor: Taking taylor expansion of 1 in k 1544611639.017 * [misc]backup-simplify: Simplify 1 into 1 1544611639.017 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611639.017 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611639.017 * [misc]taylor: Taking taylor expansion of -2 in k 1544611639.017 * [misc]backup-simplify: Simplify -2 into -2 1544611639.017 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611639.017 * [misc]taylor: Taking taylor expansion of PI in k 1544611639.017 * [misc]backup-simplify: Simplify PI into PI 1544611639.017 * [misc]taylor: Taking taylor expansion of n in k 1544611639.017 * [misc]backup-simplify: Simplify n into n 1544611639.017 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611639.017 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611639.017 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611639.018 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544611639.018 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611639.018 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611639.018 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544611639.019 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) into 0 1544611639.019 * [misc]taylor: Taking taylor expansion of 0 in n 1544611639.019 * [misc]backup-simplify: Simplify 0 into 0 1544611639.019 * [misc]backup-simplify: Simplify 0 into 0 1544611639.019 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544611639.020 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611639.020 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611639.020 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611639.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611639.020 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of -2 in n 1544611639.020 * [misc]backup-simplify: Simplify -2 into -2 1544611639.020 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611639.020 * [misc]taylor: Taking taylor expansion of PI in n 1544611639.020 * [misc]backup-simplify: Simplify PI into PI 1544611639.020 * [misc]taylor: Taking taylor expansion of n in n 1544611639.020 * [misc]backup-simplify: Simplify 0 into 0 1544611639.020 * [misc]backup-simplify: Simplify 1 into 1 1544611639.020 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611639.021 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611639.021 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611639.021 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611639.021 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611639.021 * [misc]taylor: Taking taylor expansion of k in n 1544611639.021 * [misc]backup-simplify: Simplify k into k 1544611639.022 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611639.022 * [misc]taylor: Taking taylor expansion of 1 in n 1544611639.022 * [misc]backup-simplify: Simplify 1 into 1 1544611639.022 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611639.022 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611639.023 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544611639.024 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611639.025 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611639.025 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611639.026 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611639.027 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611639.027 * [misc]backup-simplify: Simplify 0 into 0 1544611639.028 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 1544611639.029 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611639.030 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544611639.030 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611639.030 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611639.030 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611639.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611639.030 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of -2 in n 1544611639.030 * [misc]backup-simplify: Simplify -2 into -2 1544611639.030 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611639.030 * [misc]taylor: Taking taylor expansion of PI in n 1544611639.030 * [misc]backup-simplify: Simplify PI into PI 1544611639.030 * [misc]taylor: Taking taylor expansion of n in n 1544611639.030 * [misc]backup-simplify: Simplify 0 into 0 1544611639.030 * [misc]backup-simplify: Simplify 1 into 1 1544611639.030 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611639.031 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611639.031 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611639.031 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611639.031 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611639.031 * [misc]taylor: Taking taylor expansion of k in n 1544611639.031 * [misc]backup-simplify: Simplify k into k 1544611639.032 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611639.032 * [misc]taylor: Taking taylor expansion of 1 in n 1544611639.032 * [misc]backup-simplify: Simplify 1 into 1 1544611639.032 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611639.032 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611639.033 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544611639.034 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611639.035 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611639.035 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611639.036 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611639.037 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611639.038 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611639.038 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611639.038 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611639.039 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611639.040 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611639.044 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611639.044 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1544611639.045 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1544611639.047 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611639.048 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1544611639.049 * [misc]backup-simplify: Simplify (- 0) into 0 1544611639.049 * [misc]backup-simplify: Simplify 0 into 0 1544611639.049 * [misc]backup-simplify: Simplify 0 into 0 1544611639.049 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 1544611639.050 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611639.051 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544611639.051 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544611639.051 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544611639.051 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544611639.051 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544611639.051 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544611639.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544611639.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611639.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611639.052 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544611639.052 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611639.052 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611639.052 * [misc]taylor: Taking taylor expansion of -2 in n 1544611639.052 * [misc]backup-simplify: Simplify -2 into -2 1544611639.052 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611639.052 * [misc]taylor: Taking taylor expansion of PI in n 1544611639.052 * [misc]backup-simplify: Simplify PI into PI 1544611639.052 * [misc]taylor: Taking taylor expansion of n in n 1544611639.052 * [misc]backup-simplify: Simplify 0 into 0 1544611639.052 * [misc]backup-simplify: Simplify 1 into 1 1544611639.052 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611639.053 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611639.053 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611639.053 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544611639.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611639.053 * [misc]taylor: Taking taylor expansion of k in n 1544611639.053 * [misc]backup-simplify: Simplify k into k 1544611639.053 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611639.053 * [misc]taylor: Taking taylor expansion of 1 in n 1544611639.053 * [misc]backup-simplify: Simplify 1 into 1 1544611639.054 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611639.054 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544611639.055 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544611639.056 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544611639.057 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544611639.057 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544611639.058 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611639.059 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544611639.064 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 1544611639.064 * * * [misc]progress: simplifying candidates 1544611639.064 * * * * [misc]progress: [ 1 / 63 ] simplifiying candidate # 1544611639.064 * * * * [misc]progress: [ 2 / 63 ] simplifiying candidate # 1544611639.064 * * * * [misc]progress: [ 3 / 63 ] simplifiying candidate # 1544611639.064 * [enter]simplify: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1544611639.065 * * [misc]simplify: iters left: 6 (11 enodes) 1544611639.073 * * [misc]simplify: iters left: 5 (29 enodes) 1544611639.085 * * [misc]simplify: iters left: 4 (59 enodes) 1544611639.109 * * [misc]simplify: iters left: 3 (146 enodes) 1544611639.341 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) 1544611639.341 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))))) 1544611639.341 * * * * [misc]progress: [ 4 / 63 ] simplifiying candidate # 1544611639.341 * * * * [misc]progress: [ 5 / 63 ] simplifiying candidate # 1544611639.342 * [enter]simplify: Simplifying (* (* 2 PI) n) 1544611639.342 * * [misc]simplify: iters left: 4 (5 enodes) 1544611639.345 * * [misc]simplify: iters left: 3 (9 enodes) 1544611639.350 * * [misc]simplify: iters left: 2 (15 enodes) 1544611639.355 * * [misc]simplify: iters left: 1 (17 enodes) 1544611639.361 * [exit]simplify: Simplified to (* (* 2 PI) n) 1544611639.361 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1544611639.361 * * * * [misc]progress: [ 6 / 63 ] simplifiying candidate # 1544611639.361 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544611639.362 * * [misc]simplify: iters left: 5 (8 enodes) 1544611639.366 * * [misc]simplify: iters left: 4 (12 enodes) 1544611639.371 * * [misc]simplify: iters left: 3 (18 enodes) 1544611639.377 * * [misc]simplify: iters left: 2 (20 enodes) 1544611639.383 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544611639.383 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))))) 1544611639.384 * * * * [misc]progress: [ 7 / 63 ] simplifiying candidate # 1544611639.384 * [enter]simplify: Simplifying (cbrt (/ (- 1 k) 2)) 1544611639.384 * * [misc]simplify: iters left: 5 (6 enodes) 1544611639.389 * * [misc]simplify: iters left: 4 (14 enodes) 1544611639.397 * * [misc]simplify: iters left: 3 (17 enodes) 1544611639.402 * * [misc]simplify: iters left: 2 (19 enodes) 1544611639.408 * [exit]simplify: Simplified to (cbrt (/ (- 1 k) 2)) 1544611639.408 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 1544611639.408 * * * * [misc]progress: [ 8 / 63 ] simplifiying candidate # 1544611639.408 * [enter]simplify: Simplifying (sqrt (/ (- 1 k) 2)) 1544611639.409 * * [misc]simplify: iters left: 5 (6 enodes) 1544611639.413 * * [misc]simplify: iters left: 4 (14 enodes) 1544611639.417 * * [misc]simplify: iters left: 3 (17 enodes) 1544611639.422 * * [misc]simplify: iters left: 2 (19 enodes) 1544611639.431 * [exit]simplify: Simplified to (sqrt (/ (- 1 k) 2)) 1544611639.431 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 1544611639.431 * * * * [misc]progress: [ 9 / 63 ] simplifiying candidate # 1544611639.431 * [enter]simplify: Simplifying (/ (- 1 k) 2) 1544611639.432 * * [misc]simplify: iters left: 4 (5 enodes) 1544611639.436 * * [misc]simplify: iters left: 3 (13 enodes) 1544611639.440 * * [misc]simplify: iters left: 2 (16 enodes) 1544611639.445 * * [misc]simplify: iters left: 1 (18 enodes) 1544611639.451 * [exit]simplify: Simplified to (/ (- 1 k) 2) 1544611639.451 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 1544611639.451 * * * * [misc]progress: [ 10 / 63 ] simplifiying candidate # 1544611639.451 * [enter]simplify: Simplifying (/ 1 2) 1544611639.451 * * [misc]simplify: iters left: 2 (3 enodes) 1544611639.454 * * [misc]simplify: iters left: 1 (6 enodes) 1544611639.455 * [exit]simplify: Simplified to 1/2 1544611639.455 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow k -1/2) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 1544611639.455 * * * * [misc]progress: [ 11 / 63 ] simplifiying candidate # 1544611639.455 * [enter]simplify: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 1544611639.456 * * [misc]simplify: iters left: 5 (8 enodes) 1544611639.461 * * [misc]simplify: iters left: 4 (17 enodes) 1544611639.467 * * [misc]simplify: iters left: 3 (20 enodes) 1544611639.473 * * [misc]simplify: iters left: 2 (22 enodes) 1544611639.479 * [exit]simplify: Simplified to (pow (* 2 PI) (- 1/2 (/ k 2))) 1544611639.480 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (/ (- 1 k) 2))))) 1544611639.480 * * * * [misc]progress: [ 12 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 13 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 14 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 15 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 16 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 17 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 18 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 19 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 20 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 21 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 22 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 23 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 24 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 25 / 63 ] simplifiying candidate # 1544611639.480 * * * * [misc]progress: [ 26 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 27 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 28 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 29 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 30 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 31 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 32 / 63 ] simplifiying candidate # 1544611639.481 * * * * [misc]progress: [ 33 / 63 ] simplifiying candidate # 1544611639.481 * [enter]simplify: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611639.483 * * [misc]simplify: iters left: 6 (15 enodes) 1544611639.492 * * [misc]simplify: iters left: 5 (36 enodes) 1544611639.510 * * [misc]simplify: iters left: 4 (69 enodes) 1544611639.551 * * [misc]simplify: iters left: 3 (163 enodes) 1544611639.758 * [exit]simplify: Simplified to (fma (log (* 2 (* n PI))) (- 1/2 (/ k 2)) (* -1/2 (log k))) 1544611639.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 (* n PI))) (- 1/2 (/ k 2)) (* -1/2 (log k))))) 1544611639.758 * * * * [misc]progress: [ 34 / 63 ] simplifiying candidate # 1544611639.758 * [enter]simplify: Simplifying (+ (* (log k) -1/2) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611639.759 * * [misc]simplify: iters left: 6 (15 enodes) 1544611639.764 * * [misc]simplify: iters left: 5 (36 enodes) 1544611639.776 * * [misc]simplify: iters left: 4 (69 enodes) 1544611639.817 * * [misc]simplify: iters left: 3 (163 enodes) 1544611639.980 * [exit]simplify: Simplified to (fma (log (* 2 (* n PI))) (- 1/2 (/ k 2)) (* -1/2 (log k))) 1544611639.980 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 (* n PI))) (- 1/2 (/ k 2)) (* -1/2 (log k))))) 1544611639.980 * * * * [misc]progress: [ 35 / 63 ] simplifiying candidate # 1544611639.980 * [enter]simplify: Simplifying (+ (* (log k) -1/2) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611639.982 * * [misc]simplify: iters left: 6 (15 enodes) 1544611639.991 * * [misc]simplify: iters left: 5 (32 enodes) 1544611640.005 * * [misc]simplify: iters left: 4 (53 enodes) 1544611640.029 * * [misc]simplify: iters left: 3 (100 enodes) 1544611640.098 * * [misc]simplify: iters left: 2 (286 enodes) 1544611640.992 * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* (* n PI) 2)) (* -1/2 (log k))) 1544611640.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n PI) 2)) (* -1/2 (log k))))) 1544611640.992 * * * * [misc]progress: [ 36 / 63 ] simplifiying candidate # 1544611640.992 * [enter]simplify: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611640.994 * * [misc]simplify: iters left: 6 (15 enodes) 1544611641.003 * * [misc]simplify: iters left: 5 (36 enodes) 1544611641.018 * * [misc]simplify: iters left: 4 (70 enodes) 1544611641.055 * * [misc]simplify: iters left: 3 (165 enodes) 1544611641.220 * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (- 1/2 (/ k 2)) (* -1/2 (log k))) 1544611641.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n 2) PI)) (- 1/2 (/ k 2)) (* -1/2 (log k))))) 1544611641.221 * * * * [misc]progress: [ 37 / 63 ] simplifiying candidate # 1544611641.221 * [enter]simplify: Simplifying (+ (log (pow k -1/2)) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544611641.222 * * [misc]simplify: iters left: 6 (15 enodes) 1544611641.230 * * [misc]simplify: iters left: 5 (36 enodes) 1544611641.247 * * [misc]simplify: iters left: 4 (70 enodes) 1544611641.285 * * [misc]simplify: iters left: 3 (165 enodes) 1544611641.438 * [exit]simplify: Simplified to (fma (log (* (* n 2) PI)) (- 1/2 (/ k 2)) (* -1/2 (log k))) 1544611641.438 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n 2) PI)) (- 1/2 (/ k 2)) (* -1/2 (log k))))) 1544611641.438 * * * * [misc]progress: [ 38 / 63 ] simplifiying candidate # 1544611641.439 * [enter]simplify: Simplifying (+ (log (pow k -1/2)) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611641.440 * * [misc]simplify: iters left: 6 (15 enodes) 1544611641.446 * * [misc]simplify: iters left: 5 (32 enodes) 1544611641.454 * * [misc]simplify: iters left: 4 (54 enodes) 1544611641.466 * * [misc]simplify: iters left: 3 (101 enodes) 1544611641.506 * * [misc]simplify: iters left: 2 (287 enodes) 1544611641.914 * [exit]simplify: Simplified to (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (* (log k) -1/2)) 1544611641.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (* (log k) -1/2)))) 1544611641.914 * * * * [misc]progress: [ 39 / 63 ] simplifiying candidate # 1544611641.914 * * * * [misc]progress: [ 40 / 63 ] simplifiying candidate # 1544611641.914 * * * * [misc]progress: [ 41 / 63 ] simplifiying candidate # 1544611641.914 * [enter]simplify: Simplifying (* (* (* (pow k -1/2) (pow k -1/2)) (pow k -1/2)) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544611641.917 * * [misc]simplify: iters left: 6 (17 enodes) 1544611641.928 * * [misc]simplify: iters left: 5 (36 enodes) 1544611641.945 * * [misc]simplify: iters left: 4 (70 enodes) 1544611641.975 * * [misc]simplify: iters left: 3 (105 enodes) 1544611642.008 * * [misc]simplify: iters left: 2 (126 enodes) 1544611642.042 * * [misc]simplify: iters left: 1 (129 enodes) 1544611642.085 * [exit]simplify: Simplified to (pow (* (pow k -1/2) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 3) 1544611642.085 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (pow k -1/2) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 3))) 1544611642.085 * * * * [misc]progress: [ 42 / 63 ] simplifiying candidate # 1544611642.086 * * * * [misc]progress: [ 43 / 63 ] simplifiying candidate # 1544611642.086 * * * * [misc]progress: [ 44 / 63 ] simplifiying candidate # 1544611642.086 * * * * [misc]progress: [ 45 / 63 ] simplifiying candidate # 1544611642.086 * * * * [misc]progress: [ 46 / 63 ] simplifiying candidate # 1544611642.086 * [enter]simplify: Simplifying (pow n (/ (- 1 k) 2)) 1544611642.087 * * [misc]simplify: iters left: 5 (7 enodes) 1544611642.091 * * [misc]simplify: iters left: 4 (15 enodes) 1544611642.095 * * [misc]simplify: iters left: 3 (18 enodes) 1544611642.100 * * [misc]simplify: iters left: 2 (20 enodes) 1544611642.105 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544611642.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2))))) 1544611642.105 * * * * [misc]progress: [ 47 / 63 ] simplifiying candidate # 1544611642.105 * [enter]simplify: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544611642.106 * * [misc]simplify: iters left: 6 (11 enodes) 1544611642.112 * * [misc]simplify: iters left: 5 (23 enodes) 1544611642.119 * * [misc]simplify: iters left: 4 (32 enodes) 1544611642.126 * * [misc]simplify: iters left: 3 (35 enodes) 1544611642.132 * [exit]simplify: Simplified to (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544611642.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 1544611642.132 * * * * [misc]progress: [ 48 / 63 ] simplifiying candidate # 1544611642.132 * [enter]simplify: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544611642.133 * * [misc]simplify: iters left: 6 (11 enodes) 1544611642.136 * * [misc]simplify: iters left: 5 (23 enodes) 1544611642.141 * * [misc]simplify: iters left: 4 (32 enodes) 1544611642.146 * * [misc]simplify: iters left: 3 (35 enodes) 1544611642.152 * [exit]simplify: Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544611642.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 1544611642.152 * * * * [misc]progress: [ 49 / 63 ] simplifiying candidate # 1544611642.152 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1544611642.153 * * [misc]simplify: iters left: 5 (10 enodes) 1544611642.156 * * [misc]simplify: iters left: 4 (22 enodes) 1544611642.161 * * [misc]simplify: iters left: 3 (31 enodes) 1544611642.167 * * [misc]simplify: iters left: 2 (34 enodes) 1544611642.178 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1544611642.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow k -1/2) 1) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 1544611642.178 * * * * [misc]progress: [ 50 / 63 ] simplifiying candidate # 1544611642.178 * [enter]simplify: Simplifying (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1544611642.179 * * [misc]simplify: iters left: 4 (5 enodes) 1544611642.180 * [exit]simplify: Simplified to (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) 1544611642.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow k -1/2)) (cbrt (pow k -1/2))) (* (cbrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544611642.180 * * * * [misc]progress: [ 51 / 63 ] simplifiying candidate # 1544611642.180 * [enter]simplify: Simplifying (sqrt (pow k -1/2)) 1544611642.180 * * [misc]simplify: iters left: 2 (4 enodes) 1544611642.181 * [exit]simplify: Simplified to (sqrt (pow k -1/2)) 1544611642.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow k -1/2)) (* (sqrt (pow k -1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544611642.181 * * * * [misc]progress: [ 52 / 63 ] simplifiying candidate # 1544611642.181 * * * * [misc]progress: [ 53 / 63 ] simplifiying candidate # 1544611642.181 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544611642.182 * * [misc]simplify: iters left: 5 (8 enodes) 1544611642.184 * * [misc]simplify: iters left: 4 (12 enodes) 1544611642.186 * * [misc]simplify: iters left: 3 (18 enodes) 1544611642.190 * * [misc]simplify: iters left: 2 (20 enodes) 1544611642.193 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544611642.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow k -1/2) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2)))) 1544611642.194 * * * * [misc]progress: [ 54 / 63 ] simplifiying candidate # 1544611642.194 * * * * [misc]progress: [ 55 / 63 ] simplifiying candidate # 1544611642.194 * [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))))) 1544611642.196 * * [misc]simplify: iters left: 6 (37 enodes) 1544611642.211 * * [misc]simplify: iters left: 5 (108 enodes) 1544611642.283 * * [misc]simplify: iters left: 4 (368 enodes) 1544611642.984 * [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)))))) 1544611642.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (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)))))))) 1544611642.985 * * * * [misc]progress: [ 56 / 63 ] simplifiying candidate # 1544611642.985 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544611642.987 * * [misc]simplify: iters left: 6 (15 enodes) 1544611642.997 * * [misc]simplify: iters left: 5 (35 enodes) 1544611643.009 * * [misc]simplify: iters left: 4 (72 enodes) 1544611643.049 * * [misc]simplify: iters left: 3 (240 enodes) 1544611643.311 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n))) 1544611643.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n))))) 1544611643.311 * * * * [misc]progress: [ 57 / 63 ] simplifiying candidate # 1544611643.312 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544611643.314 * * [misc]simplify: iters left: 6 (16 enodes) 1544611643.319 * * [misc]simplify: iters left: 5 (35 enodes) 1544611643.335 * * [misc]simplify: iters left: 4 (76 enodes) 1544611643.406 * * [misc]simplify: iters left: 3 (278 enodes) 1544611643.744 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544611643.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow k -1/2) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544611643.744 * * * * [misc]progress: [ 58 / 63 ] simplifiying candidate # 1544611643.745 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611643.745 * * [misc]simplify: iters left: 4 (5 enodes) 1544611643.746 * * [misc]simplify: iters left: 3 (9 enodes) 1544611643.749 * * [misc]simplify: iters left: 2 (15 enodes) 1544611643.751 * * [misc]simplify: iters left: 1 (17 enodes) 1544611643.755 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611643.755 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544611643.755 * * * * [misc]progress: [ 59 / 63 ] simplifiying candidate # 1544611643.755 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611643.756 * * [misc]simplify: iters left: 4 (5 enodes) 1544611643.757 * * [misc]simplify: iters left: 3 (9 enodes) 1544611643.759 * * [misc]simplify: iters left: 2 (15 enodes) 1544611643.762 * * [misc]simplify: iters left: 1 (17 enodes) 1544611643.765 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611643.765 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544611643.765 * * * * [misc]progress: [ 60 / 63 ] simplifiying candidate # 1544611643.765 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611643.765 * * [misc]simplify: iters left: 4 (5 enodes) 1544611643.766 * * [misc]simplify: iters left: 3 (9 enodes) 1544611643.769 * * [misc]simplify: iters left: 2 (15 enodes) 1544611643.771 * * [misc]simplify: iters left: 1 (17 enodes) 1544611643.774 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611643.774 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow k -1/2) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544611643.774 * * * * [misc]progress: [ 61 / 63 ] simplifiying candidate # 1544611643.774 * [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))))))))))))) 1544611643.774 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611643.774 * * * * [misc]progress: [ 62 / 63 ] simplifiying candidate # 1544611643.774 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1544611643.774 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611643.774 * * * * [misc]progress: [ 63 / 63 ] simplifiying candidate # 1544611643.774 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k))))))) 1544611643.774 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611643.775 * * * [misc]progress: adding candidates to table 1544611644.961 * * [misc]progress: iteration 4 / 4 1544611644.961 * * * [misc]progress: picking best candidate 1544611645.049 * * * * [misc]pick: Picked # 1544611645.049 * * * [misc]progress: localizing error 1544611645.060 * * * [misc]progress: generating rewritten candidates 1544611645.060 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1544611645.102 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) 1544611645.134 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1544611645.205 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544611645.308 * * * [misc]progress: generating series expansions 1544611645.308 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1544611645.309 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544611645.309 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544611645.309 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.309 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.309 * [misc]taylor: Taking taylor expansion of k in k 1544611645.309 * [misc]backup-simplify: Simplify 0 into 0 1544611645.309 * [misc]backup-simplify: Simplify 1 into 1 1544611645.309 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.309 * [misc]backup-simplify: Simplify 2 into 2 1544611645.309 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611645.309 * [misc]taylor: Taking taylor expansion of n in k 1544611645.309 * [misc]backup-simplify: Simplify n into n 1544611645.309 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.309 * [misc]backup-simplify: Simplify PI into PI 1544611645.309 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611645.310 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611645.310 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611645.310 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611645.310 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.311 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.311 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611645.311 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611645.311 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.311 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.311 * [misc]taylor: Taking taylor expansion of k in n 1544611645.311 * [misc]backup-simplify: Simplify k into k 1544611645.311 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.311 * [misc]backup-simplify: Simplify 2 into 2 1544611645.311 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.311 * [misc]taylor: Taking taylor expansion of n in n 1544611645.312 * [misc]backup-simplify: Simplify 0 into 0 1544611645.312 * [misc]backup-simplify: Simplify 1 into 1 1544611645.312 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.312 * [misc]backup-simplify: Simplify PI into PI 1544611645.312 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.312 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.313 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.314 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.314 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.314 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611645.314 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611645.315 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611645.315 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.316 * [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)))) 1544611645.316 * [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))))) 1544611645.316 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.316 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.316 * [misc]taylor: Taking taylor expansion of k in n 1544611645.316 * [misc]backup-simplify: Simplify k into k 1544611645.316 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.316 * [misc]backup-simplify: Simplify 2 into 2 1544611645.316 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.316 * [misc]taylor: Taking taylor expansion of n in n 1544611645.316 * [misc]backup-simplify: Simplify 0 into 0 1544611645.316 * [misc]backup-simplify: Simplify 1 into 1 1544611645.316 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.317 * [misc]backup-simplify: Simplify PI into PI 1544611645.317 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.317 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.318 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.318 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.318 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611645.318 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611645.318 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611645.319 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.319 * [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)))) 1544611645.320 * [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))))) 1544611645.320 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.320 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.320 * [misc]taylor: Taking taylor expansion of k in k 1544611645.320 * [misc]backup-simplify: Simplify 0 into 0 1544611645.320 * [misc]backup-simplify: Simplify 1 into 1 1544611645.320 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of n in k 1544611645.320 * [misc]backup-simplify: Simplify n into n 1544611645.320 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.320 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611645.320 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.320 * [misc]backup-simplify: Simplify 2 into 2 1544611645.320 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.320 * [misc]backup-simplify: Simplify PI into PI 1544611645.321 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.321 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.321 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611645.321 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.321 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.322 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.322 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611645.322 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611645.323 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611645.324 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611645.324 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611645.333 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544611645.334 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.334 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.335 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611645.336 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.336 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.336 * [misc]backup-simplify: Simplify 0 into 0 1544611645.336 * [misc]backup-simplify: Simplify 0 into 0 1544611645.337 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611645.337 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611645.339 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.339 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544611645.339 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.339 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544611645.341 * [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))))))) 1544611645.342 * [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))))))) 1544611645.343 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.344 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611645.348 * [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 1544611645.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544611645.349 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.349 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.350 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.351 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.353 * [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 1544611645.353 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.353 * [misc]backup-simplify: Simplify 0 into 0 1544611645.353 * [misc]backup-simplify: Simplify 0 into 0 1544611645.353 * [misc]backup-simplify: Simplify 0 into 0 1544611645.355 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611645.356 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.360 * [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 1544611645.360 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.360 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544611645.360 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.360 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.363 * [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))))) 1544611645.366 * [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))))) 1544611645.371 * [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))))) 1544611645.371 * [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)))) 1544611645.371 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544611645.371 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544611645.371 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611645.371 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611645.371 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611645.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.371 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.371 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.371 * [misc]taylor: Taking taylor expansion of k in k 1544611645.371 * [misc]backup-simplify: Simplify 0 into 0 1544611645.371 * [misc]backup-simplify: Simplify 1 into 1 1544611645.372 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.372 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611645.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611645.372 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.372 * [misc]backup-simplify: Simplify 2 into 2 1544611645.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611645.372 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.372 * [misc]backup-simplify: Simplify PI into PI 1544611645.372 * [misc]taylor: Taking taylor expansion of n in k 1544611645.372 * [misc]backup-simplify: Simplify n into n 1544611645.372 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611645.372 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611645.372 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611645.372 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.372 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.372 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.372 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611645.373 * [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)))) 1544611645.373 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of k in n 1544611645.373 * [misc]backup-simplify: Simplify k into k 1544611645.373 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.373 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.373 * [misc]backup-simplify: Simplify 2 into 2 1544611645.373 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.373 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.373 * [misc]backup-simplify: Simplify PI into PI 1544611645.373 * [misc]taylor: Taking taylor expansion of n in n 1544611645.373 * [misc]backup-simplify: Simplify 0 into 0 1544611645.373 * [misc]backup-simplify: Simplify 1 into 1 1544611645.373 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.374 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.374 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.374 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611645.374 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611645.374 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.375 * [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))) 1544611645.375 * [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)))) 1544611645.375 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611645.375 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611645.375 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611645.375 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611645.375 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.375 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.375 * [misc]taylor: Taking taylor expansion of k in n 1544611645.375 * [misc]backup-simplify: Simplify k into k 1544611645.375 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.375 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611645.376 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611645.376 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.376 * [misc]backup-simplify: Simplify 2 into 2 1544611645.376 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.376 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.376 * [misc]backup-simplify: Simplify PI into PI 1544611645.376 * [misc]taylor: Taking taylor expansion of n in n 1544611645.376 * [misc]backup-simplify: Simplify 0 into 0 1544611645.376 * [misc]backup-simplify: Simplify 1 into 1 1544611645.376 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.376 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.376 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.376 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.376 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611645.377 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611645.377 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.377 * [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))) 1544611645.378 * [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)))) 1544611645.378 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.378 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.378 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of k in k 1544611645.378 * [misc]backup-simplify: Simplify 0 into 0 1544611645.378 * [misc]backup-simplify: Simplify 1 into 1 1544611645.378 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.378 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611645.378 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.378 * [misc]backup-simplify: Simplify 2 into 2 1544611645.378 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.378 * [misc]backup-simplify: Simplify PI into PI 1544611645.379 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.379 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.379 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.379 * [misc]taylor: Taking taylor expansion of n in k 1544611645.379 * [misc]backup-simplify: Simplify n into n 1544611645.379 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.379 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.380 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.380 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.380 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611645.380 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611645.380 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611645.381 * [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)))) 1544611645.381 * [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)))) 1544611645.382 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611645.382 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611645.384 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.384 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.385 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611645.385 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.385 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.386 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611645.387 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.387 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.387 * [misc]backup-simplify: Simplify 0 into 0 1544611645.387 * [misc]backup-simplify: Simplify 0 into 0 1544611645.387 * [misc]backup-simplify: Simplify 0 into 0 1544611645.388 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.389 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.393 * [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 1544611645.394 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611645.394 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.394 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.396 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611645.399 * [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 1544611645.399 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.399 * [misc]backup-simplify: Simplify 0 into 0 1544611645.399 * [misc]backup-simplify: Simplify 0 into 0 1544611645.399 * [misc]backup-simplify: Simplify 0 into 0 1544611645.399 * [misc]backup-simplify: Simplify 0 into 0 1544611645.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.402 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.412 * [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 1544611645.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.413 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611645.413 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.413 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.414 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.415 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611645.419 * [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 1544611645.419 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.419 * [misc]backup-simplify: Simplify 0 into 0 1544611645.419 * [misc]backup-simplify: Simplify 0 into 0 1544611645.420 * [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))))) 1544611645.421 * [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)) 1544611645.421 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544611645.421 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.421 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of k in k 1544611645.421 * [misc]backup-simplify: Simplify 0 into 0 1544611645.421 * [misc]backup-simplify: Simplify 1 into 1 1544611645.421 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.421 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of -2 in k 1544611645.421 * [misc]backup-simplify: Simplify -2 into -2 1544611645.421 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611645.421 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.421 * [misc]backup-simplify: Simplify PI into PI 1544611645.421 * [misc]taylor: Taking taylor expansion of n in k 1544611645.421 * [misc]backup-simplify: Simplify n into n 1544611645.422 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611645.422 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611645.422 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611645.422 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.422 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.422 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611645.423 * [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))) 1544611645.423 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of k in n 1544611645.423 * [misc]backup-simplify: Simplify k into k 1544611645.423 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.423 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of -2 in n 1544611645.423 * [misc]backup-simplify: Simplify -2 into -2 1544611645.423 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.423 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.423 * [misc]backup-simplify: Simplify PI into PI 1544611645.423 * [misc]taylor: Taking taylor expansion of n in n 1544611645.423 * [misc]backup-simplify: Simplify 0 into 0 1544611645.423 * [misc]backup-simplify: Simplify 1 into 1 1544611645.424 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.424 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.424 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611645.425 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.425 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611645.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.426 * [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))) 1544611645.427 * [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)))) 1544611645.427 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of k in n 1544611645.427 * [misc]backup-simplify: Simplify k into k 1544611645.427 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.427 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of -2 in n 1544611645.427 * [misc]backup-simplify: Simplify -2 into -2 1544611645.427 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.427 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.427 * [misc]backup-simplify: Simplify PI into PI 1544611645.428 * [misc]taylor: Taking taylor expansion of n in n 1544611645.428 * [misc]backup-simplify: Simplify 0 into 0 1544611645.428 * [misc]backup-simplify: Simplify 1 into 1 1544611645.428 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.428 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.429 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611645.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.429 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611645.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.430 * [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))) 1544611645.431 * [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)))) 1544611645.431 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544611645.431 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544611645.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611645.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.431 * [misc]taylor: Taking taylor expansion of k in k 1544611645.432 * [misc]backup-simplify: Simplify 0 into 0 1544611645.432 * [misc]backup-simplify: Simplify 1 into 1 1544611645.432 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.432 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611645.432 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611645.432 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611645.432 * [misc]taylor: Taking taylor expansion of -2 in k 1544611645.432 * [misc]backup-simplify: Simplify -2 into -2 1544611645.432 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.432 * [misc]backup-simplify: Simplify PI into PI 1544611645.432 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.433 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611645.433 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.433 * [misc]taylor: Taking taylor expansion of n in k 1544611645.433 * [misc]backup-simplify: Simplify n into n 1544611645.433 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.433 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.433 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.433 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611645.434 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611645.435 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611645.436 * [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)))) 1544611645.436 * [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)))) 1544611645.438 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611645.438 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611645.442 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611645.442 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.443 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611645.443 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.444 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611645.446 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.446 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.446 * [misc]backup-simplify: Simplify 0 into 0 1544611645.446 * [misc]backup-simplify: Simplify 0 into 0 1544611645.447 * [misc]backup-simplify: Simplify 0 into 0 1544611645.448 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.450 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.456 * [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 1544611645.456 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.456 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611645.456 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.457 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.458 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611645.459 * [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 1544611645.459 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.459 * [misc]backup-simplify: Simplify 0 into 0 1544611645.459 * [misc]backup-simplify: Simplify 0 into 0 1544611645.459 * [misc]backup-simplify: Simplify 0 into 0 1544611645.459 * [misc]backup-simplify: Simplify 0 into 0 1544611645.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.461 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.467 * [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 1544611645.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.468 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611645.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.469 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.470 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544611645.474 * [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 1544611645.474 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.474 * [misc]backup-simplify: Simplify 0 into 0 1544611645.474 * [misc]backup-simplify: Simplify 0 into 0 1544611645.475 * [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))))) 1544611645.475 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) 1544611645.476 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544611645.476 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544611645.476 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.476 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.476 * [misc]backup-simplify: Simplify 2 into 2 1544611645.476 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.476 * [misc]taylor: Taking taylor expansion of n in n 1544611645.476 * [misc]backup-simplify: Simplify 0 into 0 1544611645.476 * [misc]backup-simplify: Simplify 1 into 1 1544611645.476 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.476 * [misc]backup-simplify: Simplify PI into PI 1544611645.476 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.476 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.476 * [misc]backup-simplify: Simplify 2 into 2 1544611645.476 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.476 * [misc]taylor: Taking taylor expansion of n in n 1544611645.476 * [misc]backup-simplify: Simplify 0 into 0 1544611645.476 * [misc]backup-simplify: Simplify 1 into 1 1544611645.476 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.476 * [misc]backup-simplify: Simplify PI into PI 1544611645.477 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.477 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.477 * [misc]backup-simplify: Simplify 0 into 0 1544611645.478 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.479 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.479 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.480 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611645.481 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611645.481 * [misc]backup-simplify: Simplify 0 into 0 1544611645.483 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.485 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611645.485 * [misc]backup-simplify: Simplify 0 into 0 1544611645.487 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611645.490 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544611645.490 * [misc]backup-simplify: Simplify 0 into 0 1544611645.492 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611645.494 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544611645.494 * [misc]backup-simplify: Simplify 0 into 0 1544611645.496 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611645.498 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544611645.498 * [misc]backup-simplify: Simplify 0 into 0 1544611645.500 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544611645.503 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544611645.503 * [misc]backup-simplify: Simplify 0 into 0 1544611645.503 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544611645.503 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544611645.503 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544611645.503 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611645.503 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.503 * [misc]backup-simplify: Simplify 2 into 2 1544611645.503 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.503 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.503 * [misc]backup-simplify: Simplify PI into PI 1544611645.503 * [misc]taylor: Taking taylor expansion of n in n 1544611645.503 * [misc]backup-simplify: Simplify 0 into 0 1544611645.503 * [misc]backup-simplify: Simplify 1 into 1 1544611645.504 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.504 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611645.504 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.504 * [misc]backup-simplify: Simplify 2 into 2 1544611645.504 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.504 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.504 * [misc]backup-simplify: Simplify PI into PI 1544611645.504 * [misc]taylor: Taking taylor expansion of n in n 1544611645.504 * [misc]backup-simplify: Simplify 0 into 0 1544611645.504 * [misc]backup-simplify: Simplify 1 into 1 1544611645.504 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.504 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.504 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611645.506 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611645.506 * [misc]backup-simplify: Simplify 0 into 0 1544611645.506 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.507 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.507 * [misc]backup-simplify: Simplify 0 into 0 1544611645.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.509 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.509 * [misc]backup-simplify: Simplify 0 into 0 1544611645.510 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.511 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611645.511 * [misc]backup-simplify: Simplify 0 into 0 1544611645.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.514 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611645.514 * [misc]backup-simplify: Simplify 0 into 0 1544611645.516 * [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 1544611645.518 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611645.518 * [misc]backup-simplify: Simplify 0 into 0 1544611645.518 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544611645.518 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544611645.518 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544611645.518 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611645.518 * [misc]taylor: Taking taylor expansion of -2 in n 1544611645.518 * [misc]backup-simplify: Simplify -2 into -2 1544611645.518 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.518 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.518 * [misc]backup-simplify: Simplify PI into PI 1544611645.518 * [misc]taylor: Taking taylor expansion of n in n 1544611645.518 * [misc]backup-simplify: Simplify 0 into 0 1544611645.518 * [misc]backup-simplify: Simplify 1 into 1 1544611645.518 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.518 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611645.518 * [misc]taylor: Taking taylor expansion of -2 in n 1544611645.519 * [misc]backup-simplify: Simplify -2 into -2 1544611645.519 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.519 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.519 * [misc]backup-simplify: Simplify PI into PI 1544611645.519 * [misc]taylor: Taking taylor expansion of n in n 1544611645.519 * [misc]backup-simplify: Simplify 0 into 0 1544611645.519 * [misc]backup-simplify: Simplify 1 into 1 1544611645.519 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.519 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.519 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.520 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611645.520 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611645.521 * [misc]backup-simplify: Simplify 0 into 0 1544611645.521 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.522 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.522 * [misc]backup-simplify: Simplify 0 into 0 1544611645.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.524 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.524 * [misc]backup-simplify: Simplify 0 into 0 1544611645.525 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.526 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611645.526 * [misc]backup-simplify: Simplify 0 into 0 1544611645.528 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.529 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544611645.529 * [misc]backup-simplify: Simplify 0 into 0 1544611645.531 * [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 1544611645.533 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544611645.533 * [misc]backup-simplify: Simplify 0 into 0 1544611645.533 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544611645.533 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1544611645.534 * [misc]backup-simplify: Simplify (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) into (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1544611645.534 * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544611645.534 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544611645.534 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.534 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of k in k 1544611645.534 * [misc]backup-simplify: Simplify 0 into 0 1544611645.534 * [misc]backup-simplify: Simplify 1 into 1 1544611645.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.534 * [misc]backup-simplify: Simplify (log 1) into 0 1544611645.534 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544611645.534 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544611645.534 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544611645.534 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611645.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.535 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611645.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.535 * [misc]taylor: Taking taylor expansion of k in k 1544611645.535 * [misc]backup-simplify: Simplify 0 into 0 1544611645.535 * [misc]backup-simplify: Simplify 1 into 1 1544611645.535 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611645.535 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611645.535 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.535 * [misc]backup-simplify: Simplify 2 into 2 1544611645.535 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611645.535 * [misc]taylor: Taking taylor expansion of n in k 1544611645.535 * [misc]backup-simplify: Simplify n into n 1544611645.535 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.535 * [misc]backup-simplify: Simplify PI into PI 1544611645.535 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611645.535 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611645.535 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611645.535 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611645.535 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.535 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.535 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611645.536 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611645.536 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544611645.536 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.536 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of k in n 1544611645.536 * [misc]backup-simplify: Simplify k into k 1544611645.536 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.536 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1544611645.536 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1544611645.536 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1544611645.536 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.536 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.536 * [misc]taylor: Taking taylor expansion of k in n 1544611645.536 * [misc]backup-simplify: Simplify k into k 1544611645.536 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.536 * [misc]backup-simplify: Simplify 2 into 2 1544611645.536 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.536 * [misc]taylor: Taking taylor expansion of n in n 1544611645.536 * [misc]backup-simplify: Simplify 0 into 0 1544611645.536 * [misc]backup-simplify: Simplify 1 into 1 1544611645.536 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.536 * [misc]backup-simplify: Simplify PI into PI 1544611645.536 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.537 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.537 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.537 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.538 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.538 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611645.538 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611645.538 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611645.538 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.539 * [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)))) 1544611645.539 * [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))))) 1544611645.539 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544611645.539 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1544611645.539 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1544611645.539 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1544611645.539 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544611645.539 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.539 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1544611645.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.539 * [misc]taylor: Taking taylor expansion of k in n 1544611645.539 * [misc]backup-simplify: Simplify k into k 1544611645.540 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.540 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1544611645.540 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1544611645.540 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1544611645.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.540 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.540 * [misc]taylor: Taking taylor expansion of k in n 1544611645.540 * [misc]backup-simplify: Simplify k into k 1544611645.540 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.540 * [misc]backup-simplify: Simplify 2 into 2 1544611645.540 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.540 * [misc]taylor: Taking taylor expansion of n in n 1544611645.540 * [misc]backup-simplify: Simplify 0 into 0 1544611645.540 * [misc]backup-simplify: Simplify 1 into 1 1544611645.540 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.540 * [misc]backup-simplify: Simplify PI into PI 1544611645.540 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.540 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.541 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.541 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.542 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.542 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611645.542 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611645.542 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611645.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.543 * [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)))) 1544611645.543 * [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))))) 1544611645.544 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) 1/4) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1544611645.544 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.544 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.544 * [misc]taylor: Taking taylor expansion of k in k 1544611645.544 * [misc]backup-simplify: Simplify 0 into 0 1544611645.544 * [misc]backup-simplify: Simplify 1 into 1 1544611645.544 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of n in k 1544611645.544 * [misc]backup-simplify: Simplify n into n 1544611645.544 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.544 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611645.544 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.544 * [misc]backup-simplify: Simplify 2 into 2 1544611645.544 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.544 * [misc]backup-simplify: Simplify PI into PI 1544611645.544 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.545 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.545 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611645.545 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.545 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.546 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611645.546 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611645.546 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544611645.546 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544611645.546 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544611645.546 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544611645.546 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.546 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544611645.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.546 * [misc]taylor: Taking taylor expansion of k in k 1544611645.546 * [misc]backup-simplify: Simplify 0 into 0 1544611645.546 * [misc]backup-simplify: Simplify 1 into 1 1544611645.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.547 * [misc]backup-simplify: Simplify (log 1) into 0 1544611645.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544611645.547 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544611645.547 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544611645.548 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1544611645.548 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) 1544611645.549 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611645.550 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611645.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544611645.554 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.554 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.555 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611645.556 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.556 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.557 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1544611645.557 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1544611645.559 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.560 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544611645.560 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.560 * [misc]backup-simplify: Simplify 0 into 0 1544611645.560 * [misc]backup-simplify: Simplify 0 into 0 1544611645.560 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544611645.563 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544611645.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544611645.563 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1544611645.564 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.565 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611645.566 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611645.569 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.570 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544611645.570 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.570 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.571 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544611645.573 * [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))))))) 1544611645.576 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 1544611645.581 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) 1544611645.582 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.584 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611645.590 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544611645.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544611645.591 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.591 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.591 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.592 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.595 * [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 1544611645.595 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.597 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1544611645.597 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1544611645.599 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611645.601 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 k) 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544611645.601 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.601 * [misc]backup-simplify: Simplify 0 into 0 1544611645.601 * [misc]backup-simplify: Simplify 0 into 0 1544611645.601 * [misc]backup-simplify: Simplify 0 into 0 1544611645.602 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.606 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544611645.606 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544611645.607 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1544611645.609 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611645.610 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611645.612 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.618 * [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 1544611645.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.618 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544611645.618 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.619 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.623 * [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))))) 1544611645.634 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 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))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 1544611645.644 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) into (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) 1544611645.667 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (/ 1 k) 1/4))) (+ (* 1/8 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))) (* 1/4 (* (pow (/ 1 k) 1/4) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI)))))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (/ 1 k) 1/4))) (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (/ 1 k) 1/4))))) (* k 1)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)))) into (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 1544611645.668 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) into (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1544611645.668 * [misc]approximate: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544611645.668 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544611645.668 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544611645.668 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544611645.668 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544611645.668 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544611645.668 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.668 * [misc]taylor: Taking taylor expansion of (log k) in k 1544611645.668 * [misc]taylor: Taking taylor expansion of k in k 1544611645.668 * [misc]backup-simplify: Simplify 0 into 0 1544611645.668 * [misc]backup-simplify: Simplify 1 into 1 1544611645.668 * [misc]backup-simplify: Simplify (log 1) into 0 1544611645.668 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544611645.668 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544611645.668 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544611645.668 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.669 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.669 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of k in k 1544611645.669 * [misc]backup-simplify: Simplify 0 into 0 1544611645.669 * [misc]backup-simplify: Simplify 1 into 1 1544611645.669 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.669 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.669 * [misc]backup-simplify: Simplify 2 into 2 1544611645.669 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611645.669 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.669 * [misc]backup-simplify: Simplify PI into PI 1544611645.669 * [misc]taylor: Taking taylor expansion of n in k 1544611645.669 * [misc]backup-simplify: Simplify n into n 1544611645.669 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611645.669 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611645.669 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611645.669 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.669 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.670 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.670 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611645.670 * [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)))) 1544611645.670 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544611645.670 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.670 * [misc]taylor: Taking taylor expansion of (log k) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of k in n 1544611645.670 * [misc]backup-simplify: Simplify k into k 1544611645.670 * [misc]backup-simplify: Simplify (log k) into (log k) 1544611645.670 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544611645.670 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544611645.670 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of k in n 1544611645.670 * [misc]backup-simplify: Simplify k into k 1544611645.670 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.670 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.670 * [misc]backup-simplify: Simplify 2 into 2 1544611645.670 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.670 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.670 * [misc]backup-simplify: Simplify PI into PI 1544611645.670 * [misc]taylor: Taking taylor expansion of n in n 1544611645.671 * [misc]backup-simplify: Simplify 0 into 0 1544611645.671 * [misc]backup-simplify: Simplify 1 into 1 1544611645.671 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.671 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.671 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.671 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.671 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611645.671 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611645.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.672 * [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))) 1544611645.673 * [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)))) 1544611645.673 * [misc]taylor: Taking taylor expansion of (* (pow k 1/4) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544611645.673 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.673 * [misc]taylor: Taking taylor expansion of (log k) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of k in n 1544611645.673 * [misc]backup-simplify: Simplify k into k 1544611645.673 * [misc]backup-simplify: Simplify (log k) into (log k) 1544611645.673 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544611645.673 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544611645.673 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of k in n 1544611645.673 * [misc]backup-simplify: Simplify k into k 1544611645.673 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.673 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611645.673 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.673 * [misc]backup-simplify: Simplify 2 into 2 1544611645.674 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.674 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.674 * [misc]backup-simplify: Simplify PI into PI 1544611645.674 * [misc]taylor: Taking taylor expansion of n in n 1544611645.674 * [misc]backup-simplify: Simplify 0 into 0 1544611645.674 * [misc]backup-simplify: Simplify 1 into 1 1544611645.674 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.674 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.674 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.674 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.674 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611645.675 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611645.675 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.675 * [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))) 1544611645.676 * [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)))) 1544611645.676 * [misc]backup-simplify: Simplify (* (pow k 1/4) (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)))) (pow k 1/4)) 1544611645.677 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.677 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.677 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of k in k 1544611645.677 * [misc]backup-simplify: Simplify 0 into 0 1544611645.677 * [misc]backup-simplify: Simplify 1 into 1 1544611645.677 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.677 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611645.677 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.677 * [misc]backup-simplify: Simplify 2 into 2 1544611645.677 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.677 * [misc]backup-simplify: Simplify PI into PI 1544611645.677 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.678 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.678 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.678 * [misc]taylor: Taking taylor expansion of n in k 1544611645.678 * [misc]backup-simplify: Simplify n into n 1544611645.678 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.678 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.678 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.678 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.678 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611645.678 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611645.679 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611645.679 * [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)))) 1544611645.679 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544611645.679 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544611645.679 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544611645.679 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544611645.679 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544611645.679 * [misc]taylor: Taking taylor expansion of (log k) in k 1544611645.679 * [misc]taylor: Taking taylor expansion of k in k 1544611645.679 * [misc]backup-simplify: Simplify 0 into 0 1544611645.679 * [misc]backup-simplify: Simplify 1 into 1 1544611645.679 * [misc]backup-simplify: Simplify (log 1) into 0 1544611645.680 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544611645.680 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544611645.680 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544611645.680 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1544611645.681 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (pow k 1/4)) 1544611645.682 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611645.682 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611645.684 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.684 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611645.684 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.685 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.685 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611645.686 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.689 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1544611645.689 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544611645.690 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.691 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544611645.691 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.691 * [misc]backup-simplify: Simplify 0 into 0 1544611645.691 * [misc]backup-simplify: Simplify 0 into 0 1544611645.692 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544611645.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544611645.693 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544611645.693 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.694 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (* 0 (pow k 1/4))) into 0 1544611645.694 * [misc]backup-simplify: Simplify 0 into 0 1544611645.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.696 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.702 * [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 1544611645.702 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.703 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611645.703 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.705 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611645.707 * [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 1544611645.709 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1544611645.710 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544611645.712 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611645.713 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544611645.713 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.713 * [misc]backup-simplify: Simplify 0 into 0 1544611645.714 * [misc]backup-simplify: Simplify 0 into 0 1544611645.714 * [misc]backup-simplify: Simplify 0 into 0 1544611645.719 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544611645.719 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544611645.719 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544611645.721 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544611645.722 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1544611645.722 * [misc]backup-simplify: Simplify 0 into 0 1544611645.724 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.725 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.730 * [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 1544611645.730 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611645.731 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.731 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611645.732 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611645.734 * [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 1544611645.736 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 1544611645.736 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544611645.738 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544611645.739 * [misc]backup-simplify: Simplify (+ (* (pow k 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1544611645.739 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.739 * [misc]backup-simplify: Simplify 0 into 0 1544611645.739 * [misc]backup-simplify: Simplify 0 into 0 1544611645.740 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) 1544611645.740 * [misc]backup-simplify: Simplify (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1544611645.740 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0 1544611645.740 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544611645.740 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1544611645.740 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544611645.740 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611645.740 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611645.740 * [misc]taylor: Taking taylor expansion of -1 in k 1544611645.740 * [misc]backup-simplify: Simplify -1 into -1 1544611645.740 * [misc]taylor: Taking taylor expansion of k in k 1544611645.740 * [misc]backup-simplify: Simplify 0 into 0 1544611645.740 * [misc]backup-simplify: Simplify 1 into 1 1544611645.740 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611645.740 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611645.741 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611645.741 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544611645.741 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544611645.741 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544611645.742 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611645.742 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1544611645.742 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544611645.742 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544611645.742 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544611645.742 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544611645.742 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611645.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.743 * [misc]taylor: Taking taylor expansion of k in k 1544611645.743 * [misc]backup-simplify: Simplify 0 into 0 1544611645.743 * [misc]backup-simplify: Simplify 1 into 1 1544611645.743 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.743 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.743 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611645.743 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611645.743 * [misc]taylor: Taking taylor expansion of -2 in k 1544611645.743 * [misc]backup-simplify: Simplify -2 into -2 1544611645.743 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611645.743 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.743 * [misc]backup-simplify: Simplify PI into PI 1544611645.743 * [misc]taylor: Taking taylor expansion of n in k 1544611645.743 * [misc]backup-simplify: Simplify n into n 1544611645.743 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611645.743 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611645.743 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611645.743 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.743 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.743 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611645.744 * [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))) 1544611645.744 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of -1 in n 1544611645.744 * [misc]backup-simplify: Simplify -1 into -1 1544611645.744 * [misc]taylor: Taking taylor expansion of k in n 1544611645.744 * [misc]backup-simplify: Simplify k into k 1544611645.744 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611645.744 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611645.744 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611645.744 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611645.744 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1544611645.744 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1544611645.744 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544611645.744 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1544611645.744 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.744 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.744 * [misc]taylor: Taking taylor expansion of k in n 1544611645.744 * [misc]backup-simplify: Simplify k into k 1544611645.745 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.745 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.745 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611645.745 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611645.745 * [misc]taylor: Taking taylor expansion of -2 in n 1544611645.745 * [misc]backup-simplify: Simplify -2 into -2 1544611645.745 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.745 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.745 * [misc]backup-simplify: Simplify PI into PI 1544611645.745 * [misc]taylor: Taking taylor expansion of n in n 1544611645.745 * [misc]backup-simplify: Simplify 0 into 0 1544611645.745 * [misc]backup-simplify: Simplify 1 into 1 1544611645.745 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.745 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.745 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611645.746 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.746 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611645.746 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.746 * [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))) 1544611645.747 * [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)))) 1544611645.747 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544611645.747 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1544611645.747 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1544611645.747 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611645.747 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611645.747 * [misc]taylor: Taking taylor expansion of -1 in n 1544611645.747 * [misc]backup-simplify: Simplify -1 into -1 1544611645.747 * [misc]taylor: Taking taylor expansion of k in n 1544611645.747 * [misc]backup-simplify: Simplify k into k 1544611645.747 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611645.747 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611645.747 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611645.747 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611645.747 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1544611645.747 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1544611645.748 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544611645.748 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1544611645.748 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.748 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of k in n 1544611645.748 * [misc]backup-simplify: Simplify k into k 1544611645.748 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.748 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.748 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of -2 in n 1544611645.748 * [misc]backup-simplify: Simplify -2 into -2 1544611645.748 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611645.748 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.748 * [misc]backup-simplify: Simplify PI into PI 1544611645.748 * [misc]taylor: Taking taylor expansion of n in n 1544611645.748 * [misc]backup-simplify: Simplify 0 into 0 1544611645.748 * [misc]backup-simplify: Simplify 1 into 1 1544611645.748 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611645.748 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.749 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611645.749 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611645.749 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611645.749 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.750 * [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))) 1544611645.750 * [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)))) 1544611645.751 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1544611645.751 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) in k 1544611645.751 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1544611645.751 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544611645.751 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611645.751 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611645.751 * [misc]taylor: Taking taylor expansion of -1 in k 1544611645.751 * [misc]backup-simplify: Simplify -1 into -1 1544611645.751 * [misc]taylor: Taking taylor expansion of k in k 1544611645.751 * [misc]backup-simplify: Simplify 0 into 0 1544611645.751 * [misc]backup-simplify: Simplify 1 into 1 1544611645.751 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611645.751 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611645.752 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611645.752 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544611645.752 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544611645.752 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544611645.753 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611645.754 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1544611645.755 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544611645.755 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of k in k 1544611645.755 * [misc]backup-simplify: Simplify 0 into 0 1544611645.755 * [misc]backup-simplify: Simplify 1 into 1 1544611645.755 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.755 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611645.755 * [misc]taylor: Taking taylor expansion of -2 in k 1544611645.755 * [misc]backup-simplify: Simplify -2 into -2 1544611645.755 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.755 * [misc]backup-simplify: Simplify PI into PI 1544611645.756 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611645.756 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611645.756 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.756 * [misc]taylor: Taking taylor expansion of n in k 1544611645.756 * [misc]backup-simplify: Simplify n into n 1544611645.756 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.757 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.757 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.757 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611645.757 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611645.758 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611645.759 * [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)))) 1544611645.760 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (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)))) (sqrt +nan.0)) 1544611645.761 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)) 1544611645.762 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611645.763 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611645.766 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611645.766 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.767 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611645.767 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.768 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611645.770 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.771 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1544611645.771 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.771 * [misc]backup-simplify: Simplify 0 into 0 1544611645.771 * [misc]backup-simplify: Simplify 0 into 0 1544611645.773 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +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)))) (sqrt +nan.0)))) 1544611645.774 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))) 1544611645.775 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.776 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.782 * [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 1544611645.782 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611645.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.784 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611645.785 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611645.787 * [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 1544611645.787 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544611645.788 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544611645.789 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1544611645.790 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (sqrt (/ -1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into 0 1544611645.790 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.790 * [misc]backup-simplify: Simplify 0 into 0 1544611645.790 * [misc]backup-simplify: Simplify 0 into 0 1544611645.790 * [misc]backup-simplify: Simplify 0 into 0 1544611645.791 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.792 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611645.793 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1544611645.796 * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1544611645.801 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +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)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) 1544611645.805 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt +nan.0)))))) 1544611645.812 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) (sqrt +nan.0)))) into (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) 1544611645.812 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544611645.813 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) into (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1544611645.813 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544611645.813 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.813 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.813 * [misc]taylor: Taking taylor expansion of k in k 1544611645.813 * [misc]backup-simplify: Simplify 0 into 0 1544611645.813 * [misc]backup-simplify: Simplify 1 into 1 1544611645.813 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.813 * [misc]backup-simplify: Simplify 2 into 2 1544611645.813 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544611645.813 * [misc]taylor: Taking taylor expansion of n in k 1544611645.813 * [misc]backup-simplify: Simplify n into n 1544611645.813 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.813 * [misc]backup-simplify: Simplify PI into PI 1544611645.814 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544611645.814 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544611645.814 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544611645.814 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611645.814 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.815 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.815 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544611645.815 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544611645.815 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611645.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.815 * [misc]taylor: Taking taylor expansion of k in k 1544611645.815 * [misc]backup-simplify: Simplify 0 into 0 1544611645.815 * [misc]backup-simplify: Simplify 1 into 1 1544611645.815 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.816 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611645.816 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611645.816 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1544611645.816 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611645.816 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611645.816 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611645.816 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611645.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.816 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611645.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.817 * [misc]taylor: Taking taylor expansion of k in n 1544611645.817 * [misc]backup-simplify: Simplify k into k 1544611645.817 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611645.817 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.817 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.817 * [misc]backup-simplify: Simplify 2 into 2 1544611645.817 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.817 * [misc]taylor: Taking taylor expansion of n in n 1544611645.817 * [misc]backup-simplify: Simplify 0 into 0 1544611645.817 * [misc]backup-simplify: Simplify 1 into 1 1544611645.817 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.817 * [misc]backup-simplify: Simplify PI into PI 1544611645.817 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.817 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.819 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.820 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.820 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611645.820 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611645.820 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611645.821 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.824 * [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)))) 1544611645.825 * [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))))) 1544611645.825 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544611645.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.825 * [misc]taylor: Taking taylor expansion of k in n 1544611645.825 * [misc]backup-simplify: Simplify k into k 1544611645.825 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.825 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544611645.825 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.826 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544611645.826 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.826 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611645.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.826 * [misc]taylor: Taking taylor expansion of k in n 1544611645.826 * [misc]backup-simplify: Simplify k into k 1544611645.826 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of 2 in n 1544611645.826 * [misc]backup-simplify: Simplify 2 into 2 1544611645.826 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544611645.826 * [misc]taylor: Taking taylor expansion of n in n 1544611645.826 * [misc]backup-simplify: Simplify 0 into 0 1544611645.826 * [misc]backup-simplify: Simplify 1 into 1 1544611645.826 * [misc]taylor: Taking taylor expansion of PI in n 1544611645.826 * [misc]backup-simplify: Simplify PI into PI 1544611645.827 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544611645.827 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544611645.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544611645.828 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544611645.829 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.829 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544611645.829 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544611645.829 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544611645.830 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.831 * [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)))) 1544611645.831 * [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))))) 1544611645.831 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544611645.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611645.831 * [misc]taylor: Taking taylor expansion of k in n 1544611645.831 * [misc]backup-simplify: Simplify k into k 1544611645.832 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611645.832 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544611645.832 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611645.832 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544611645.833 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1544611645.833 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) in k 1544611645.833 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544611645.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.833 * [misc]taylor: Taking taylor expansion of k in k 1544611645.833 * [misc]backup-simplify: Simplify 0 into 0 1544611645.833 * [misc]backup-simplify: Simplify 1 into 1 1544611645.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.833 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611645.834 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611645.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.834 * [misc]taylor: Taking taylor expansion of k in k 1544611645.834 * [misc]backup-simplify: Simplify 0 into 0 1544611645.834 * [misc]backup-simplify: Simplify 1 into 1 1544611645.834 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of n in k 1544611645.834 * [misc]backup-simplify: Simplify n into n 1544611645.834 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611645.834 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611645.834 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.834 * [misc]backup-simplify: Simplify 2 into 2 1544611645.834 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.835 * [misc]backup-simplify: Simplify PI into PI 1544611645.835 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611645.835 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611645.836 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544611645.836 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.836 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611645.836 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.837 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544611645.838 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544611645.839 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.839 * [misc]backup-simplify: Simplify 0 into 0 1544611645.840 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544611645.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544611645.843 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.843 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544611645.843 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.843 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.844 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544611645.845 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611645.846 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544611645.846 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.846 * [misc]backup-simplify: Simplify 0 into 0 1544611645.846 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544611645.847 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611645.849 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611645.849 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.849 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544611645.849 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.849 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544611645.851 * [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))))))) 1544611645.852 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1544611645.853 * [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))))))) 1544611645.853 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.853 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544611645.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.855 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544611645.859 * [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 1544611645.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544611645.860 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.860 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.860 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.861 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.863 * [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 1544611645.863 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544611645.863 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.863 * [misc]backup-simplify: Simplify 0 into 0 1544611645.863 * [misc]backup-simplify: Simplify 0 into 0 1544611645.865 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544611645.865 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611645.870 * [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 1544611645.870 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544611645.870 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.872 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544611645.875 * [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))))) 1544611645.876 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544611645.877 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611645.885 * [misc]backup-simplify: Simplify (+ (* 0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))) (+ (* +nan.0 (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))) 1544611645.889 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) 1544611645.889 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611645.889 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544611645.892 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544611645.894 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544611645.904 * [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 1544611645.904 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544611645.904 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.905 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.905 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544611645.906 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544611645.910 * [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 1544611645.912 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544611645.912 * [misc]taylor: Taking taylor expansion of 0 in k 1544611645.912 * [misc]backup-simplify: Simplify 0 into 0 1544611645.912 * [misc]backup-simplify: Simplify 0 into 0 1544611645.912 * [misc]backup-simplify: Simplify 0 into 0 1544611645.915 * [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 1544611645.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611645.927 * [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 1544611645.927 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.927 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544611645.928 * [misc]backup-simplify: Simplify (- 0) into 0 1544611645.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611645.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544611645.936 * [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))))))) 1544611645.936 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611645.937 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611645.958 * [misc]backup-simplify: Simplify (+ (* 0 (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))) (+ (* +nan.0 (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))) (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))))))))))) 1544611645.974 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) 1544611645.997 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))) 1544611645.998 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) (sqrt (sqrt (/ 1 k)))) into (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1544611645.998 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544611645.998 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611645.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611645.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of k in k 1544611645.998 * [misc]backup-simplify: Simplify 0 into 0 1544611645.998 * [misc]backup-simplify: Simplify 1 into 1 1544611645.998 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611645.998 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of 2 in k 1544611645.998 * [misc]backup-simplify: Simplify 2 into 2 1544611645.998 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611645.998 * [misc]taylor: Taking taylor expansion of PI in k 1544611645.998 * [misc]backup-simplify: Simplify PI into PI 1544611645.998 * [misc]taylor: Taking taylor expansion of n in k 1544611645.998 * [misc]backup-simplify: Simplify n into n 1544611645.998 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611645.998 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544611645.998 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544611645.998 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611645.999 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611645.999 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611645.999 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544611645.999 * [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)))) 1544611645.999 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611645.999 * [misc]taylor: Taking taylor expansion of k in k 1544611645.999 * [misc]backup-simplify: Simplify 0 into 0 1544611645.999 * [misc]backup-simplify: Simplify 1 into 1 1544611645.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611645.999 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611645.999 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.000 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of k in n 1544611646.000 * [misc]backup-simplify: Simplify k into k 1544611646.000 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611646.000 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of 2 in n 1544611646.000 * [misc]backup-simplify: Simplify 2 into 2 1544611646.000 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611646.000 * [misc]taylor: Taking taylor expansion of PI in n 1544611646.000 * [misc]backup-simplify: Simplify PI into PI 1544611646.000 * [misc]taylor: Taking taylor expansion of n in n 1544611646.000 * [misc]backup-simplify: Simplify 0 into 0 1544611646.000 * [misc]backup-simplify: Simplify 1 into 1 1544611646.000 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611646.000 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611646.001 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611646.001 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611646.001 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611646.001 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611646.001 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611646.002 * [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))) 1544611646.002 * [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)))) 1544611646.002 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544611646.002 * [misc]taylor: Taking taylor expansion of k in n 1544611646.003 * [misc]backup-simplify: Simplify k into k 1544611646.003 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544611646.003 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544611646.003 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of k in n 1544611646.003 * [misc]backup-simplify: Simplify k into k 1544611646.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611646.003 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of 2 in n 1544611646.003 * [misc]backup-simplify: Simplify 2 into 2 1544611646.003 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611646.003 * [misc]taylor: Taking taylor expansion of PI in n 1544611646.003 * [misc]backup-simplify: Simplify PI into PI 1544611646.003 * [misc]taylor: Taking taylor expansion of n in n 1544611646.003 * [misc]backup-simplify: Simplify 0 into 0 1544611646.003 * [misc]backup-simplify: Simplify 1 into 1 1544611646.003 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611646.003 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611646.004 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611646.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611646.004 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544611646.004 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544611646.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611646.005 * [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))) 1544611646.005 * [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)))) 1544611646.005 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544611646.005 * [misc]taylor: Taking taylor expansion of k in n 1544611646.005 * [misc]backup-simplify: Simplify k into k 1544611646.005 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544611646.005 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544611646.006 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) 1544611646.006 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611646.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611646.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of k in k 1544611646.006 * [misc]backup-simplify: Simplify 0 into 0 1544611646.006 * [misc]backup-simplify: Simplify 1 into 1 1544611646.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611646.006 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544611646.006 * [misc]taylor: Taking taylor expansion of 2 in k 1544611646.006 * [misc]backup-simplify: Simplify 2 into 2 1544611646.006 * [misc]taylor: Taking taylor expansion of PI in k 1544611646.007 * [misc]backup-simplify: Simplify PI into PI 1544611646.007 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544611646.007 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544611646.007 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611646.007 * [misc]taylor: Taking taylor expansion of n in k 1544611646.007 * [misc]backup-simplify: Simplify n into n 1544611646.007 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611646.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611646.007 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544611646.007 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544611646.008 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611646.008 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544611646.008 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544611646.009 * [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)))) 1544611646.009 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544611646.009 * [misc]taylor: Taking taylor expansion of k in k 1544611646.009 * [misc]backup-simplify: Simplify 0 into 0 1544611646.009 * [misc]backup-simplify: Simplify 1 into 1 1544611646.009 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611646.009 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544611646.010 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544611646.010 * [misc]backup-simplify: Simplify 0 into 0 1544611646.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611646.011 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544611646.013 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544611646.013 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611646.013 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611646.013 * [misc]backup-simplify: Simplify (- 0) into 0 1544611646.013 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611646.014 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611646.015 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544611646.016 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611646.016 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (* 0 (sqrt k))) into 0 1544611646.016 * [misc]taylor: Taking taylor expansion of 0 in k 1544611646.017 * [misc]backup-simplify: Simplify 0 into 0 1544611646.017 * [misc]backup-simplify: Simplify 0 into 0 1544611646.017 * [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)))))) 1544611646.018 * [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)))))) 1544611646.018 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544611646.019 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611646.020 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611646.023 * [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 1544611646.024 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611646.024 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611646.024 * [misc]backup-simplify: Simplify (- 0) into 0 1544611646.024 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611646.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611646.025 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544611646.027 * [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 1544611646.027 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544611646.027 * [misc]taylor: Taking taylor expansion of 0 in k 1544611646.027 * [misc]backup-simplify: Simplify 0 into 0 1544611646.027 * [misc]backup-simplify: Simplify 0 into 0 1544611646.027 * [misc]backup-simplify: Simplify 0 into 0 1544611646.028 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611646.029 * [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)))))) 1544611646.029 * [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)))))) 1544611646.030 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544611646.031 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611646.032 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544611646.042 * [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 1544611646.042 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611646.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544611646.044 * [misc]backup-simplify: Simplify (- 0) into 0 1544611646.044 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611646.045 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544611646.046 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544611646.050 * [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 1544611646.052 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544611646.052 * [misc]taylor: Taking taylor expansion of 0 in k 1544611646.052 * [misc]backup-simplify: Simplify 0 into 0 1544611646.052 * [misc]backup-simplify: Simplify 0 into 0 1544611646.052 * [misc]backup-simplify: Simplify 0 into 0 1544611646.052 * [misc]backup-simplify: Simplify 0 into 0 1544611646.053 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611646.055 * [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)))))) 1544611646.056 * [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)))))) 1544611646.059 * [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)))))))) 1544611646.060 * [misc]backup-simplify: Simplify (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) (sqrt (sqrt (/ 1 (- k))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1544611646.060 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544611646.060 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611646.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611646.060 * [misc]taylor: Taking taylor expansion of k in k 1544611646.060 * [misc]backup-simplify: Simplify 0 into 0 1544611646.060 * [misc]backup-simplify: Simplify 1 into 1 1544611646.060 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611646.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611646.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.061 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544611646.061 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544611646.061 * [misc]taylor: Taking taylor expansion of -2 in k 1544611646.061 * [misc]backup-simplify: Simplify -2 into -2 1544611646.061 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544611646.061 * [misc]taylor: Taking taylor expansion of PI in k 1544611646.061 * [misc]backup-simplify: Simplify PI into PI 1544611646.061 * [misc]taylor: Taking taylor expansion of n in k 1544611646.061 * [misc]backup-simplify: Simplify n into n 1544611646.061 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544611646.061 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544611646.061 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544611646.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611646.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611646.062 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544611646.062 * [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))) 1544611646.062 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611646.062 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611646.062 * [misc]taylor: Taking taylor expansion of -1 in k 1544611646.062 * [misc]backup-simplify: Simplify -1 into -1 1544611646.062 * [misc]taylor: Taking taylor expansion of k in k 1544611646.062 * [misc]backup-simplify: Simplify 0 into 0 1544611646.062 * [misc]backup-simplify: Simplify 1 into 1 1544611646.062 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611646.063 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611646.063 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611646.064 * [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)))) 1544611646.064 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of k in n 1544611646.064 * [misc]backup-simplify: Simplify k into k 1544611646.064 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611646.064 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.064 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of -2 in n 1544611646.064 * [misc]backup-simplify: Simplify -2 into -2 1544611646.064 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611646.064 * [misc]taylor: Taking taylor expansion of PI in n 1544611646.064 * [misc]backup-simplify: Simplify PI into PI 1544611646.064 * [misc]taylor: Taking taylor expansion of n in n 1544611646.064 * [misc]backup-simplify: Simplify 0 into 0 1544611646.064 * [misc]backup-simplify: Simplify 1 into 1 1544611646.065 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611646.065 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611646.066 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611646.066 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611646.066 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611646.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611646.067 * [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))) 1544611646.068 * [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)))) 1544611646.068 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611646.068 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611646.068 * [misc]taylor: Taking taylor expansion of -1 in n 1544611646.068 * [misc]backup-simplify: Simplify -1 into -1 1544611646.068 * [misc]taylor: Taking taylor expansion of k in n 1544611646.068 * [misc]backup-simplify: Simplify k into k 1544611646.068 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611646.069 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611646.069 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611646.069 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611646.070 * [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))) 1544611646.070 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of k in n 1544611646.070 * [misc]backup-simplify: Simplify k into k 1544611646.070 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544611646.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544611646.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.070 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544611646.070 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544611646.071 * [misc]taylor: Taking taylor expansion of -2 in n 1544611646.071 * [misc]backup-simplify: Simplify -2 into -2 1544611646.071 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544611646.071 * [misc]taylor: Taking taylor expansion of PI in n 1544611646.071 * [misc]backup-simplify: Simplify PI into PI 1544611646.071 * [misc]taylor: Taking taylor expansion of n in n 1544611646.071 * [misc]backup-simplify: Simplify 0 into 0 1544611646.071 * [misc]backup-simplify: Simplify 1 into 1 1544611646.071 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544611646.071 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611646.072 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611646.072 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544611646.072 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544611646.073 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611646.074 * [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))) 1544611646.075 * [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)))) 1544611646.075 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544611646.075 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544611646.075 * [misc]taylor: Taking taylor expansion of -1 in n 1544611646.075 * [misc]backup-simplify: Simplify -1 into -1 1544611646.075 * [misc]taylor: Taking taylor expansion of k in n 1544611646.075 * [misc]backup-simplify: Simplify k into k 1544611646.075 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544611646.075 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544611646.075 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544611646.075 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544611646.076 * [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))) 1544611646.076 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544611646.076 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544611646.076 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544611646.076 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544611646.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544611646.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611646.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544611646.076 * [misc]taylor: Taking taylor expansion of k in k 1544611646.076 * [misc]backup-simplify: Simplify 0 into 0 1544611646.076 * [misc]backup-simplify: Simplify 1 into 1 1544611646.077 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544611646.077 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544611646.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544611646.077 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544611646.077 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544611646.077 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544611646.077 * [misc]taylor: Taking taylor expansion of -2 in k 1544611646.077 * [misc]backup-simplify: Simplify -2 into -2 1544611646.077 * [misc]taylor: Taking taylor expansion of PI in k 1544611646.077 * [misc]backup-simplify: Simplify PI into PI 1544611646.077 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544611646.078 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544611646.078 * [misc]taylor: Taking taylor expansion of (log n) in k 1544611646.078 * [misc]taylor: Taking taylor expansion of n in k 1544611646.078 * [misc]backup-simplify: Simplify n into n 1544611646.078 * [misc]backup-simplify: Simplify (log n) into (log n) 1544611646.078 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544611646.078 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544611646.078 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544611646.079 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544611646.079 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544611646.080 * [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)))) 1544611646.080 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544611646.080 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544611646.080 * [misc]taylor: Taking taylor expansion of -1 in k 1544611646.080 * [misc]backup-simplify: Simplify -1 into -1 1544611646.080 * [misc]taylor: Taking taylor expansion of k in k 1544611646.080 * [misc]backup-simplify: Simplify 0 into 0 1544611646.080 * [misc]backup-simplify: Simplify 1 into 1 1544611646.081 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544611646.081 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544611646.081 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544611646.082 * [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))))) 1544611646.083 * [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))))) 1544611646.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544611646.085 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544611646.090 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544611646.091 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544611646.091 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544611646.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611646.092 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611646.092 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544611646.094 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544611646.095 * [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 1544611646.095 * [misc]taylor: Taking taylor expansion of 0 in k 1544611646.095 * [misc]backup-simplify: Simplify 0 into 0 1544611646.095 * [misc]backup-simplify: Simplify 0 into 0 1544611646.096 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544611646.097 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544611646.098 * [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)))))) 1544611646.099 * [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)))))) 1544611646.100 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611646.101 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544611646.108 * [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 1544611646.108 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611646.108 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544611646.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544611646.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544611646.110 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544611646.113 * [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 1544611646.113 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544611646.114 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544611646.115 * [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 1544611646.115 * [misc]taylor: Taking taylor expansion of 0 in k 1544611646.115 * [misc]backup-simplify: Simplify 0 into 0 1544611646.115 * [misc]backup-simplify: Simplify 0 into 0 1544611646.115 * [misc]backup-simplify: Simplify 0 into 0 1544611646.115 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544611646.117 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544611646.119 * [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)))))) 1544611646.120 * [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)))))) 1544611646.123 * [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))))))))))) 1544611646.123 * * * [misc]progress: simplifying candidates 1544611646.123 * * * * [misc]progress: [ 1 / 412 ] simplifiying candidate # 1544611646.123 * * * * [misc]progress: [ 2 / 412 ] simplifiying candidate # 1544611646.123 * * * * [misc]progress: [ 3 / 412 ] simplifiying candidate # 1544611646.123 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544611646.125 * * [misc]simplify: iters left: 6 (11 enodes) 1544611646.130 * * [misc]simplify: iters left: 5 (21 enodes) 1544611646.142 * * [misc]simplify: iters left: 4 (47 enodes) 1544611646.171 * * [misc]simplify: iters left: 3 (113 enodes) 1544611646.265 * * [misc]simplify: iters left: 2 (328 enodes) 1544611646.708 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544611646.708 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.708 * * * * [misc]progress: [ 4 / 412 ] simplifiying candidate # 1544611646.708 * * * * [misc]progress: [ 5 / 412 ] simplifiying candidate # 1544611646.709 * [enter]simplify: Simplifying (* PI (* n 2)) 1544611646.709 * * [misc]simplify: iters left: 4 (5 enodes) 1544611646.712 * * [misc]simplify: iters left: 3 (9 enodes) 1544611646.714 * * [misc]simplify: iters left: 2 (15 enodes) 1544611646.716 * * [misc]simplify: iters left: 1 (17 enodes) 1544611646.719 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544611646.719 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.719 * * * * [misc]progress: [ 6 / 412 ] simplifiying candidate # 1544611646.720 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544611646.720 * * [misc]simplify: iters left: 5 (8 enodes) 1544611646.722 * * [misc]simplify: iters left: 4 (12 enodes) 1544611646.725 * * [misc]simplify: iters left: 3 (18 enodes) 1544611646.728 * * [misc]simplify: iters left: 2 (20 enodes) 1544611646.732 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544611646.732 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.732 * * * * [misc]progress: [ 7 / 412 ] simplifiying candidate # 1544611646.732 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544611646.732 * * [misc]simplify: iters left: 5 (6 enodes) 1544611646.734 * * [misc]simplify: iters left: 4 (8 enodes) 1544611646.735 * * [misc]simplify: iters left: 3 (11 enodes) 1544611646.737 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544611646.737 * [misc]simplify: Simplified (2 1 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 (sqrt k))) (sqrt (sqrt k)))) 1544611646.737 * * * * [misc]progress: [ 8 / 412 ] simplifiying candidate # 1544611646.737 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544611646.738 * * [misc]simplify: iters left: 5 (6 enodes) 1544611646.739 * * [misc]simplify: iters left: 4 (8 enodes) 1544611646.742 * * [misc]simplify: iters left: 3 (11 enodes) 1544611646.746 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544611646.746 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.746 * * * * [misc]progress: [ 9 / 412 ] simplifiying candidate # 1544611646.747 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544611646.747 * * [misc]simplify: iters left: 4 (5 enodes) 1544611646.749 * * [misc]simplify: iters left: 3 (7 enodes) 1544611646.752 * * [misc]simplify: iters left: 2 (10 enodes) 1544611646.755 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544611646.755 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.755 * * * * [misc]progress: [ 10 / 412 ] simplifiying candidate # 1544611646.756 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544611646.756 * * [misc]simplify: iters left: 5 (9 enodes) 1544611646.761 * * [misc]simplify: iters left: 4 (15 enodes) 1544611646.766 * * [misc]simplify: iters left: 3 (21 enodes) 1544611646.773 * * [misc]simplify: iters left: 2 (22 enodes) 1544611646.782 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544611646.783 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.783 * * * * [misc]progress: [ 11 / 412 ] simplifiying candidate # 1544611646.783 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544611646.784 * * [misc]simplify: iters left: 5 (9 enodes) 1544611646.788 * * [misc]simplify: iters left: 4 (15 enodes) 1544611646.793 * * [misc]simplify: iters left: 3 (21 enodes) 1544611646.800 * * [misc]simplify: iters left: 2 (22 enodes) 1544611646.808 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544611646.808 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.808 * * * * [misc]progress: [ 12 / 412 ] simplifiying candidate # 1544611646.808 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544611646.809 * * [misc]simplify: iters left: 5 (7 enodes) 1544611646.812 * * [misc]simplify: iters left: 4 (9 enodes) 1544611646.816 * * [misc]simplify: iters left: 3 (12 enodes) 1544611646.820 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611646.820 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611646.820 * * * * [misc]progress: [ 13 / 412 ] simplifiying candidate # 1544611646.820 * * * * [misc]progress: [ 14 / 412 ] simplifiying candidate # 1544611646.820 * * * * [misc]progress: [ 15 / 412 ] simplifiying candidate # 1544611646.820 * * * * [misc]progress: [ 16 / 412 ] simplifiying candidate # 1544611646.820 * * * * [misc]progress: [ 17 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 18 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 19 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 20 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 21 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 22 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 23 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 24 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 25 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 26 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 27 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 28 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 29 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 30 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 31 / 412 ] simplifiying candidate # 1544611646.821 * * * * [misc]progress: [ 32 / 412 ] simplifiying candidate # 1544611646.822 * * * * [misc]progress: [ 33 / 412 ] simplifiying candidate # 1544611646.822 * * * * [misc]progress: [ 34 / 412 ] simplifiying candidate # 1544611646.822 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1544611646.823 * * [misc]simplify: iters left: 6 (15 enodes) 1544611646.831 * * [misc]simplify: iters left: 5 (28 enodes) 1544611646.847 * * [misc]simplify: iters left: 4 (56 enodes) 1544611646.883 * * [misc]simplify: iters left: 3 (146 enodes) 1544611647.020 * * [misc]simplify: iters left: 2 (495 enodes) 1544611647.924 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k)))) 1544611647.925 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611647.925 * * * * [misc]progress: [ 35 / 412 ] simplifiying candidate # 1544611647.925 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1544611647.926 * * [misc]simplify: iters left: 6 (15 enodes) 1544611647.930 * * [misc]simplify: iters left: 5 (28 enodes) 1544611647.937 * * [misc]simplify: iters left: 4 (56 enodes) 1544611647.959 * * [misc]simplify: iters left: 3 (146 enodes) 1544611648.103 * * [misc]simplify: iters left: 2 (495 enodes) 1544611648.963 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k)))) 1544611648.963 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611648.964 * * * * [misc]progress: [ 36 / 412 ] simplifiying candidate # 1544611648.964 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k)))) 1544611648.965 * * [misc]simplify: iters left: 6 (15 enodes) 1544611648.969 * * [misc]simplify: iters left: 5 (25 enodes) 1544611648.976 * * [misc]simplify: iters left: 4 (44 enodes) 1544611648.986 * * [misc]simplify: iters left: 3 (75 enodes) 1544611649.030 * * [misc]simplify: iters left: 2 (222 enodes) 1544611649.416 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1544611649.416 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.416 * * * * [misc]progress: [ 37 / 412 ] simplifiying candidate # 1544611649.416 * * * * [misc]progress: [ 38 / 412 ] simplifiying candidate # 1544611649.416 * * * * [misc]progress: [ 39 / 412 ] simplifiying candidate # 1544611649.417 * [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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611649.418 * * [misc]simplify: iters left: 6 (17 enodes) 1544611649.422 * * [misc]simplify: iters left: 5 (32 enodes) 1544611649.432 * * [misc]simplify: iters left: 4 (70 enodes) 1544611649.452 * * [misc]simplify: iters left: 3 (122 enodes) 1544611649.508 * * [misc]simplify: iters left: 2 (175 enodes) 1544611649.548 * * [misc]simplify: iters left: 1 (192 enodes) 1544611649.580 * [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))) (* (sqrt k) (sqrt (sqrt k))))) 1544611649.580 * [misc]simplify: Simplified (2 1 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))) (* (sqrt k) (sqrt (sqrt k)))))) (sqrt (sqrt k)))) 1544611649.580 * * * * [misc]progress: [ 40 / 412 ] simplifiying candidate # 1544611649.580 * * * * [misc]progress: [ 41 / 412 ] simplifiying candidate # 1544611649.580 * * * * [misc]progress: [ 42 / 412 ] simplifiying candidate # 1544611649.580 * * * * [misc]progress: [ 43 / 412 ] simplifiying candidate # 1544611649.580 * * * * [misc]progress: [ 44 / 412 ] simplifiying candidate # 1544611649.580 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611649.581 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.584 * * [misc]simplify: iters left: 5 (20 enodes) 1544611649.588 * * [misc]simplify: iters left: 4 (26 enodes) 1544611649.592 * * [misc]simplify: iters left: 3 (28 enodes) 1544611649.597 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611649.597 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.598 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611649.598 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.605 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.610 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.614 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.619 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611649.619 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.619 * * * * [misc]progress: [ 45 / 412 ] simplifiying candidate # 1544611649.619 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611649.620 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.623 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.626 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.630 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.634 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611649.635 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.635 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611649.635 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.638 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.642 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.645 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.650 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611649.650 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.650 * * * * [misc]progress: [ 46 / 412 ] simplifiying candidate # 1544611649.650 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611649.651 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.654 * * [misc]simplify: iters left: 5 (17 enodes) 1544611649.657 * * [misc]simplify: iters left: 4 (23 enodes) 1544611649.660 * * [misc]simplify: iters left: 3 (24 enodes) 1544611649.664 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611649.664 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.664 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.665 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.668 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.673 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.677 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.681 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.681 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.681 * * * * [misc]progress: [ 47 / 412 ] simplifiying candidate # 1544611649.681 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1544611649.682 * * [misc]simplify: iters left: 6 (10 enodes) 1544611649.685 * * [misc]simplify: iters left: 5 (17 enodes) 1544611649.688 * * [misc]simplify: iters left: 4 (23 enodes) 1544611649.692 * * [misc]simplify: iters left: 3 (24 enodes) 1544611649.695 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611649.695 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611649.695 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544611649.696 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.699 * * [misc]simplify: iters left: 5 (18 enodes) 1544611649.702 * * [misc]simplify: iters left: 4 (24 enodes) 1544611649.706 * * [misc]simplify: iters left: 3 (25 enodes) 1544611649.711 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611649.711 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611649.711 * * * * [misc]progress: [ 48 / 412 ] simplifiying candidate # 1544611649.711 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611649.712 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.714 * * [misc]simplify: iters left: 5 (17 enodes) 1544611649.718 * * [misc]simplify: iters left: 4 (23 enodes) 1544611649.721 * * [misc]simplify: iters left: 3 (24 enodes) 1544611649.726 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611649.726 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.726 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.727 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.730 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.734 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.738 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.744 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.744 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.744 * * * * [misc]progress: [ 49 / 412 ] simplifiying candidate # 1544611649.745 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544611649.745 * * [misc]simplify: iters left: 6 (9 enodes) 1544611649.748 * * [misc]simplify: iters left: 5 (16 enodes) 1544611649.751 * * [misc]simplify: iters left: 4 (24 enodes) 1544611649.755 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.759 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544611649.759 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611649.759 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544611649.760 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.762 * * [misc]simplify: iters left: 5 (18 enodes) 1544611649.766 * * [misc]simplify: iters left: 4 (24 enodes) 1544611649.769 * * [misc]simplify: iters left: 3 (25 enodes) 1544611649.774 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611649.774 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611649.774 * * * * [misc]progress: [ 50 / 412 ] simplifiying candidate # 1544611649.774 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611649.775 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.778 * * [misc]simplify: iters left: 5 (20 enodes) 1544611649.782 * * [misc]simplify: iters left: 4 (26 enodes) 1544611649.788 * * [misc]simplify: iters left: 3 (28 enodes) 1544611649.793 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611649.793 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.793 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611649.794 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.797 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.801 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.805 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.809 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611649.809 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.809 * * * * [misc]progress: [ 51 / 412 ] simplifiying candidate # 1544611649.809 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611649.812 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.814 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.818 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.822 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.826 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611649.826 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.826 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611649.827 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.829 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.835 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.843 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.848 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611649.848 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.848 * * * * [misc]progress: [ 52 / 412 ] simplifiying candidate # 1544611649.848 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611649.849 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.851 * * [misc]simplify: iters left: 5 (17 enodes) 1544611649.855 * * [misc]simplify: iters left: 4 (23 enodes) 1544611649.858 * * [misc]simplify: iters left: 3 (24 enodes) 1544611649.862 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611649.862 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.862 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.863 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.866 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.870 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.874 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.882 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.882 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.882 * * * * [misc]progress: [ 53 / 412 ] simplifiying candidate # 1544611649.882 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1544611649.883 * * [misc]simplify: iters left: 6 (10 enodes) 1544611649.890 * * [misc]simplify: iters left: 5 (17 enodes) 1544611649.896 * * [misc]simplify: iters left: 4 (23 enodes) 1544611649.904 * * [misc]simplify: iters left: 3 (24 enodes) 1544611649.911 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611649.911 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611649.911 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544611649.913 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.918 * * [misc]simplify: iters left: 5 (18 enodes) 1544611649.925 * * [misc]simplify: iters left: 4 (24 enodes) 1544611649.930 * * [misc]simplify: iters left: 3 (25 enodes) 1544611649.934 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611649.934 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611649.934 * * * * [misc]progress: [ 54 / 412 ] simplifiying candidate # 1544611649.934 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611649.935 * * [misc]simplify: iters left: 6 (12 enodes) 1544611649.937 * * [misc]simplify: iters left: 5 (17 enodes) 1544611649.942 * * [misc]simplify: iters left: 4 (23 enodes) 1544611649.949 * * [misc]simplify: iters left: 3 (24 enodes) 1544611649.958 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611649.958 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.958 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.960 * * [misc]simplify: iters left: 6 (13 enodes) 1544611649.966 * * [misc]simplify: iters left: 5 (19 enodes) 1544611649.973 * * [misc]simplify: iters left: 4 (25 enodes) 1544611649.982 * * [misc]simplify: iters left: 3 (26 enodes) 1544611649.992 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611649.992 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611649.992 * * * * [misc]progress: [ 55 / 412 ] simplifiying candidate # 1544611649.992 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544611649.993 * * [misc]simplify: iters left: 6 (9 enodes) 1544611649.997 * * [misc]simplify: iters left: 5 (16 enodes) 1544611650.004 * * [misc]simplify: iters left: 4 (24 enodes) 1544611650.014 * * [misc]simplify: iters left: 3 (26 enodes) 1544611650.021 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544611650.021 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.021 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544611650.022 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.027 * * [misc]simplify: iters left: 5 (18 enodes) 1544611650.034 * * [misc]simplify: iters left: 4 (24 enodes) 1544611650.038 * * [misc]simplify: iters left: 3 (25 enodes) 1544611650.043 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611650.043 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.043 * * * * [misc]progress: [ 56 / 412 ] simplifiying candidate # 1544611650.043 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611650.044 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.046 * * [misc]simplify: iters left: 5 (16 enodes) 1544611650.049 * * [misc]simplify: iters left: 4 (19 enodes) 1544611650.052 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611650.052 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.052 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611650.053 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.055 * * [misc]simplify: iters left: 5 (15 enodes) 1544611650.058 * * [misc]simplify: iters left: 4 (18 enodes) 1544611650.061 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611650.061 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.061 * * * * [misc]progress: [ 57 / 412 ] simplifiying candidate # 1544611650.061 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611650.062 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.065 * * [misc]simplify: iters left: 5 (15 enodes) 1544611650.068 * * [misc]simplify: iters left: 4 (18 enodes) 1544611650.071 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611650.071 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.072 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611650.073 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.078 * * [misc]simplify: iters left: 5 (15 enodes) 1544611650.084 * * [misc]simplify: iters left: 4 (18 enodes) 1544611650.091 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611650.091 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.091 * * * * [misc]progress: [ 58 / 412 ] simplifiying candidate # 1544611650.092 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.093 * * [misc]simplify: iters left: 6 (11 enodes) 1544611650.097 * * [misc]simplify: iters left: 5 (13 enodes) 1544611650.102 * * [misc]simplify: iters left: 4 (16 enodes) 1544611650.107 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.107 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.108 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.110 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.115 * * [misc]simplify: iters left: 5 (15 enodes) 1544611650.121 * * [misc]simplify: iters left: 4 (18 enodes) 1544611650.127 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.127 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.128 * * * * [misc]progress: [ 59 / 412 ] simplifiying candidate # 1544611650.128 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) 1544611650.129 * * [misc]simplify: iters left: 6 (10 enodes) 1544611650.133 * * [misc]simplify: iters left: 5 (14 enodes) 1544611650.138 * * [misc]simplify: iters left: 4 (17 enodes) 1544611650.144 * * [misc]simplify: iters left: 3 (19 enodes) 1544611650.149 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611650.149 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.149 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611650.150 * * [misc]simplify: iters left: 6 (11 enodes) 1544611650.154 * * [misc]simplify: iters left: 5 (14 enodes) 1544611650.159 * * [misc]simplify: iters left: 4 (17 enodes) 1544611650.166 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611650.166 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.166 * * * * [misc]progress: [ 60 / 412 ] simplifiying candidate # 1544611650.166 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.167 * * [misc]simplify: iters left: 6 (11 enodes) 1544611650.171 * * [misc]simplify: iters left: 5 (13 enodes) 1544611650.174 * * [misc]simplify: iters left: 4 (16 enodes) 1544611650.176 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.176 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.177 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.177 * * [misc]simplify: iters left: 6 (12 enodes) 1544611650.179 * * [misc]simplify: iters left: 5 (15 enodes) 1544611650.182 * * [misc]simplify: iters left: 4 (18 enodes) 1544611650.185 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611650.185 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.185 * * * * [misc]progress: [ 61 / 412 ] simplifiying candidate # 1544611650.185 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544611650.186 * * [misc]simplify: iters left: 6 (9 enodes) 1544611650.187 * * [misc]simplify: iters left: 5 (13 enodes) 1544611650.190 * * [misc]simplify: iters left: 4 (18 enodes) 1544611650.193 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611650.193 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.193 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611650.193 * * [misc]simplify: iters left: 6 (11 enodes) 1544611650.195 * * [misc]simplify: iters left: 5 (14 enodes) 1544611650.198 * * [misc]simplify: iters left: 4 (17 enodes) 1544611650.201 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611650.201 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.201 * * * * [misc]progress: [ 62 / 412 ] simplifiying candidate # 1544611650.201 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611650.202 * * [misc]simplify: iters left: 6 (17 enodes) 1544611650.206 * * [misc]simplify: iters left: 5 (29 enodes) 1544611650.214 * * [misc]simplify: iters left: 4 (47 enodes) 1544611650.222 * * [misc]simplify: iters left: 3 (51 enodes) 1544611650.229 * * [misc]simplify: iters left: 2 (54 enodes) 1544611650.240 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544611650.240 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.241 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1544611650.242 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.245 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.249 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.254 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.259 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1544611650.259 * [misc]simplify: Simplified (2 1 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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.259 * * * * [misc]progress: [ 63 / 412 ] simplifiying candidate # 1544611650.260 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611650.261 * * [misc]simplify: iters left: 6 (17 enodes) 1544611650.265 * * [misc]simplify: iters left: 5 (26 enodes) 1544611650.270 * * [misc]simplify: iters left: 4 (37 enodes) 1544611650.277 * * [misc]simplify: iters left: 3 (40 enodes) 1544611650.288 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611650.288 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.288 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1544611650.289 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.291 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.296 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.300 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.306 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1544611650.306 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.306 * * * * [misc]progress: [ 64 / 412 ] simplifiying candidate # 1544611650.306 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544611650.307 * * [misc]simplify: iters left: 6 (16 enodes) 1544611650.313 * * [misc]simplify: iters left: 5 (24 enodes) 1544611650.323 * * [misc]simplify: iters left: 4 (35 enodes) 1544611650.335 * * [misc]simplify: iters left: 3 (37 enodes) 1544611650.350 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611650.350 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.350 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.351 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.358 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.366 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.376 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.389 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.389 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.389 * * * * [misc]progress: [ 65 / 412 ] simplifiying candidate # 1544611650.389 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) 1544611650.391 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.398 * * [misc]simplify: iters left: 5 (25 enodes) 1544611650.408 * * [misc]simplify: iters left: 4 (36 enodes) 1544611650.419 * * [misc]simplify: iters left: 3 (41 enodes) 1544611650.435 * * [misc]simplify: iters left: 2 (56 enodes) 1544611650.450 * * [misc]simplify: iters left: 1 (57 enodes) 1544611650.462 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611650.463 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.463 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.464 * * [misc]simplify: iters left: 6 (14 enodes) 1544611650.470 * * [misc]simplify: iters left: 5 (20 enodes) 1544611650.479 * * [misc]simplify: iters left: 4 (29 enodes) 1544611650.489 * * [misc]simplify: iters left: 3 (30 enodes) 1544611650.500 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.500 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.501 * * * * [misc]progress: [ 66 / 412 ] simplifiying candidate # 1544611650.501 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544611650.502 * * [misc]simplify: iters left: 6 (16 enodes) 1544611650.510 * * [misc]simplify: iters left: 5 (24 enodes) 1544611650.520 * * [misc]simplify: iters left: 4 (35 enodes) 1544611650.535 * * [misc]simplify: iters left: 3 (37 enodes) 1544611650.549 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611650.549 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.550 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.551 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.557 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.565 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.569 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.574 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.574 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.575 * * * * [misc]progress: [ 67 / 412 ] simplifiying candidate # 1544611650.575 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544611650.576 * * [misc]simplify: iters left: 6 (14 enodes) 1544611650.579 * * [misc]simplify: iters left: 5 (24 enodes) 1544611650.585 * * [misc]simplify: iters left: 4 (39 enodes) 1544611650.592 * * [misc]simplify: iters left: 3 (54 enodes) 1544611650.601 * * [misc]simplify: iters left: 2 (80 enodes) 1544611650.621 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544611650.622 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 1544611650.622 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.623 * * [misc]simplify: iters left: 6 (14 enodes) 1544611650.629 * * [misc]simplify: iters left: 5 (20 enodes) 1544611650.638 * * [misc]simplify: iters left: 4 (29 enodes) 1544611650.647 * * [misc]simplify: iters left: 3 (30 enodes) 1544611650.658 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.658 * [misc]simplify: Simplified (2 1 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 (sqrt k)))) (sqrt (sqrt k)))) 1544611650.658 * * * * [misc]progress: [ 68 / 412 ] simplifiying candidate # 1544611650.659 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611650.660 * * [misc]simplify: iters left: 6 (16 enodes) 1544611650.667 * * [misc]simplify: iters left: 5 (24 enodes) 1544611650.672 * * [misc]simplify: iters left: 4 (33 enodes) 1544611650.677 * * [misc]simplify: iters left: 3 (34 enodes) 1544611650.684 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611650.684 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.685 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1544611650.686 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.689 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.693 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.701 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.713 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) 1544611650.713 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.713 * * * * [misc]progress: [ 69 / 412 ] simplifiying candidate # 1544611650.713 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611650.715 * * [misc]simplify: iters left: 6 (16 enodes) 1544611650.722 * * [misc]simplify: iters left: 5 (23 enodes) 1544611650.732 * * [misc]simplify: iters left: 4 (32 enodes) 1544611650.743 * * [misc]simplify: iters left: 3 (34 enodes) 1544611650.755 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544611650.755 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.755 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1544611650.757 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.762 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.771 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.778 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.783 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) 1544611650.783 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.783 * * * * [misc]progress: [ 70 / 412 ] simplifiying candidate # 1544611650.784 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.785 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.787 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.792 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.796 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.802 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.802 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.802 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.803 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.805 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.810 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.817 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.830 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.830 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.830 * * * * [misc]progress: [ 71 / 412 ] simplifiying candidate # 1544611650.830 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) 1544611650.832 * * [misc]simplify: iters left: 6 (14 enodes) 1544611650.839 * * [misc]simplify: iters left: 5 (22 enodes) 1544611650.848 * * [misc]simplify: iters left: 4 (31 enodes) 1544611650.858 * * [misc]simplify: iters left: 3 (35 enodes) 1544611650.869 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611650.869 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.869 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.870 * * [misc]simplify: iters left: 6 (14 enodes) 1544611650.876 * * [misc]simplify: iters left: 5 (20 enodes) 1544611650.884 * * [misc]simplify: iters left: 4 (29 enodes) 1544611650.894 * * [misc]simplify: iters left: 3 (30 enodes) 1544611650.905 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.905 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.905 * * * * [misc]progress: [ 72 / 412 ] simplifiying candidate # 1544611650.906 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.908 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.913 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.917 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.922 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.927 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.927 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.927 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.928 * * [misc]simplify: iters left: 6 (15 enodes) 1544611650.931 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.937 * * [misc]simplify: iters left: 4 (30 enodes) 1544611650.942 * * [misc]simplify: iters left: 3 (31 enodes) 1544611650.948 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611650.948 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611650.948 * * * * [misc]progress: [ 73 / 412 ] simplifiying candidate # 1544611650.949 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544611650.950 * * [misc]simplify: iters left: 6 (13 enodes) 1544611650.956 * * [misc]simplify: iters left: 5 (21 enodes) 1544611650.965 * * [misc]simplify: iters left: 4 (32 enodes) 1544611650.974 * * [misc]simplify: iters left: 3 (33 enodes) 1544611650.983 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611650.983 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611650.983 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611650.984 * * [misc]simplify: iters left: 6 (14 enodes) 1544611650.990 * * [misc]simplify: iters left: 5 (20 enodes) 1544611650.997 * * [misc]simplify: iters left: 4 (29 enodes) 1544611651.003 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.008 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611651.008 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.008 * * * * [misc]progress: [ 74 / 412 ] simplifiying candidate # 1544611651.008 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611651.009 * * [misc]simplify: iters left: 6 (7 enodes) 1544611651.010 * * [misc]simplify: iters left: 5 (11 enodes) 1544611651.012 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611651.012 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.012 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611651.013 * * [misc]simplify: iters left: 6 (14 enodes) 1544611651.016 * * [misc]simplify: iters left: 5 (20 enodes) 1544611651.020 * * [misc]simplify: iters left: 4 (29 enodes) 1544611651.024 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.031 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) 1544611651.031 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.031 * * * * [misc]progress: [ 75 / 412 ] simplifiying candidate # 1544611651.031 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611651.032 * * [misc]simplify: iters left: 6 (7 enodes) 1544611651.033 * * [misc]simplify: iters left: 5 (10 enodes) 1544611651.035 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611651.035 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.035 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611651.036 * * [misc]simplify: iters left: 6 (14 enodes) 1544611651.039 * * [misc]simplify: iters left: 5 (20 enodes) 1544611651.043 * * [misc]simplify: iters left: 4 (29 enodes) 1544611651.047 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.058 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) 1544611651.058 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.058 * * * * [misc]progress: [ 76 / 412 ] simplifiying candidate # 1544611651.058 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544611651.059 * * [misc]simplify: iters left: 5 (6 enodes) 1544611651.061 * * [misc]simplify: iters left: 4 (8 enodes) 1544611651.063 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611651.063 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.063 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611651.064 * * [misc]simplify: iters left: 6 (14 enodes) 1544611651.067 * * [misc]simplify: iters left: 5 (20 enodes) 1544611651.071 * * [misc]simplify: iters left: 4 (29 enodes) 1544611651.075 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.080 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611651.080 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.080 * * * * [misc]progress: [ 77 / 412 ] simplifiying candidate # 1544611651.081 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544611651.081 * * [misc]simplify: iters left: 3 (3 enodes) 1544611651.082 * * [misc]simplify: iters left: 2 (5 enodes) 1544611651.083 * [exit]simplify: Simplified to 1 1544611651.083 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.083 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611651.084 * * [misc]simplify: iters left: 6 (13 enodes) 1544611651.086 * * [misc]simplify: iters left: 5 (19 enodes) 1544611651.090 * * [misc]simplify: iters left: 4 (28 enodes) 1544611651.094 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.099 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611651.099 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.099 * * * * [misc]progress: [ 78 / 412 ] simplifiying candidate # 1544611651.100 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544611651.100 * * [misc]simplify: iters left: 5 (6 enodes) 1544611651.102 * * [misc]simplify: iters left: 4 (8 enodes) 1544611651.103 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611651.103 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.104 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611651.104 * * [misc]simplify: iters left: 6 (14 enodes) 1544611651.108 * * [misc]simplify: iters left: 5 (20 enodes) 1544611651.112 * * [misc]simplify: iters left: 4 (29 enodes) 1544611651.116 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.121 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611651.121 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) (sqrt (sqrt k)))) 1544611651.121 * * * * [misc]progress: [ 79 / 412 ] simplifiying candidate # 1544611651.121 * [enter]simplify: Simplifying (/ 1 1) 1544611651.122 * * [misc]simplify: iters left: 2 (2 enodes) 1544611651.122 * * [misc]simplify: iters left: 1 (4 enodes) 1544611651.122 * [exit]simplify: Simplified to 1 1544611651.122 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.123 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611651.123 * * [misc]simplify: iters left: 6 (13 enodes) 1544611651.126 * * [misc]simplify: iters left: 5 (19 enodes) 1544611651.130 * * [misc]simplify: iters left: 4 (28 enodes) 1544611651.134 * * [misc]simplify: iters left: 3 (30 enodes) 1544611651.140 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611651.140 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.140 * * * * [misc]progress: [ 80 / 412 ] simplifiying candidate # 1544611651.140 * * * * [misc]progress: [ 81 / 412 ] simplifiying candidate # 1544611651.140 * * * * [misc]progress: [ 82 / 412 ] simplifiying candidate # 1544611651.140 * * * * [misc]progress: [ 83 / 412 ] simplifiying candidate # 1544611651.140 * [enter]simplify: Simplifying (cbrt (sqrt (sqrt k))) 1544611651.140 * * [misc]simplify: iters left: 3 (4 enodes) 1544611651.141 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt k))) 1544611651.141 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.141 * * * * [misc]progress: [ 84 / 412 ] simplifiying candidate # 1544611651.141 * [enter]simplify: Simplifying (sqrt (cbrt (sqrt k))) 1544611651.142 * * [misc]simplify: iters left: 3 (4 enodes) 1544611651.142 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt k))) 1544611651.142 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.142 * * * * [misc]progress: [ 85 / 412 ] simplifiying candidate # 1544611651.143 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544611651.143 * * [misc]simplify: iters left: 3 (4 enodes) 1544611651.144 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544611651.144 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.144 * * * * [misc]progress: [ 86 / 412 ] simplifiying candidate # 1544611651.144 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544611651.144 * * [misc]simplify: iters left: 2 (3 enodes) 1544611651.145 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544611651.145 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611651.145 * * * * [misc]progress: [ 87 / 412 ] simplifiying candidate # 1544611651.145 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544611651.145 * * [misc]simplify: iters left: 3 (4 enodes) 1544611651.146 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544611651.146 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1544611651.146 * * * * [misc]progress: [ 88 / 412 ] simplifiying candidate # 1544611651.146 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544611651.146 * * [misc]simplify: iters left: 2 (3 enodes) 1544611651.147 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544611651.147 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611651.147 * * * * [misc]progress: [ 89 / 412 ] simplifiying candidate # 1544611651.147 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544611651.147 * * [misc]simplify: iters left: 5 (7 enodes) 1544611651.149 * * [misc]simplify: iters left: 4 (12 enodes) 1544611651.151 * * [misc]simplify: iters left: 3 (18 enodes) 1544611651.155 * * [misc]simplify: iters left: 2 (20 enodes) 1544611651.161 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611651.161 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) 1544611651.161 * * * * [misc]progress: [ 90 / 412 ] simplifiying candidate # 1544611651.161 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544611651.162 * * [misc]simplify: iters left: 5 (7 enodes) 1544611651.165 * * [misc]simplify: iters left: 4 (12 enodes) 1544611651.169 * * [misc]simplify: iters left: 3 (18 enodes) 1544611651.175 * * [misc]simplify: iters left: 2 (20 enodes) 1544611651.180 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611651.180 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt k)))) 1544611651.180 * * * * [misc]progress: [ 91 / 412 ] simplifiying candidate # 1544611651.181 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544611651.183 * * [misc]simplify: iters left: 5 (7 enodes) 1544611651.185 * * [misc]simplify: iters left: 4 (9 enodes) 1544611651.188 * * [misc]simplify: iters left: 3 (12 enodes) 1544611651.192 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611651.192 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1544611651.193 * * * * [misc]progress: [ 92 / 412 ] simplifiying candidate # 1544611651.193 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544611651.195 * * [misc]simplify: iters left: 6 (12 enodes) 1544611651.198 * * [misc]simplify: iters left: 5 (18 enodes) 1544611651.202 * * [misc]simplify: iters left: 4 (27 enodes) 1544611651.207 * * [misc]simplify: iters left: 3 (29 enodes) 1544611651.212 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611651.212 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) 1544611651.212 * * * * [misc]progress: [ 93 / 412 ] simplifiying candidate # 1544611651.212 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544611651.212 * * [misc]simplify: iters left: 6 (11 enodes) 1544611651.215 * * [misc]simplify: iters left: 5 (17 enodes) 1544611651.219 * * [misc]simplify: iters left: 4 (26 enodes) 1544611651.223 * * [misc]simplify: iters left: 3 (27 enodes) 1544611651.231 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544611651.231 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (sqrt k)))) 1544611651.231 * * * * [misc]progress: [ 94 / 412 ] simplifiying candidate # 1544611651.231 * * * * [misc]progress: [ 95 / 412 ] simplifiying candidate # 1544611651.231 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544611651.232 * * [misc]simplify: iters left: 5 (7 enodes) 1544611651.235 * * [misc]simplify: iters left: 4 (12 enodes) 1544611651.240 * * [misc]simplify: iters left: 3 (18 enodes) 1544611651.250 * * [misc]simplify: iters left: 2 (20 enodes) 1544611651.257 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611651.257 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt k)) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))) 1544611651.257 * * * * [misc]progress: [ 96 / 412 ] simplifiying candidate # 1544611651.257 * * * * [misc]progress: [ 97 / 412 ] simplifiying candidate # 1544611651.257 * * * * [misc]progress: [ 98 / 412 ] simplifiying candidate # 1544611651.257 * * * * [misc]progress: [ 99 / 412 ] simplifiying candidate # 1544611651.258 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544611651.259 * * [misc]simplify: iters left: 6 (16 enodes) 1544611651.264 * * [misc]simplify: iters left: 5 (32 enodes) 1544611651.274 * * [misc]simplify: iters left: 4 (70 enodes) 1544611651.305 * * [misc]simplify: iters left: 3 (195 enodes) 1544611651.569 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544611651.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 1544611651.569 * * * * [misc]progress: [ 100 / 412 ] simplifiying candidate # 1544611651.569 * [enter]simplify: Simplifying (- (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544611651.571 * * [misc]simplify: iters left: 6 (16 enodes) 1544611651.579 * * [misc]simplify: iters left: 5 (32 enodes) 1544611651.588 * * [misc]simplify: iters left: 4 (70 enodes) 1544611651.623 * * [misc]simplify: iters left: 3 (195 enodes) 1544611651.941 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544611651.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 1544611651.941 * * * * [misc]progress: [ 101 / 412 ] simplifiying candidate # 1544611651.941 * [enter]simplify: Simplifying (- (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544611651.942 * * [misc]simplify: iters left: 6 (16 enodes) 1544611651.946 * * [misc]simplify: iters left: 5 (29 enodes) 1544611651.954 * * [misc]simplify: iters left: 4 (57 enodes) 1544611651.969 * * [misc]simplify: iters left: 3 (101 enodes) 1544611652.040 * * [misc]simplify: iters left: 2 (370 enodes) 1544611652.809 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544611652.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 1544611652.809 * * * * [misc]progress: [ 102 / 412 ] simplifiying candidate # 1544611652.809 * [enter]simplify: Simplifying (- (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) 1544611652.811 * * [misc]simplify: iters left: 6 (16 enodes) 1544611652.814 * * [misc]simplify: iters left: 5 (26 enodes) 1544611652.820 * * [misc]simplify: iters left: 4 (43 enodes) 1544611652.830 * * [misc]simplify: iters left: 3 (75 enodes) 1544611652.868 * * [misc]simplify: iters left: 2 (153 enodes) 1544611652.989 * * [misc]simplify: iters left: 1 (461 enodes) 1544611653.823 * [exit]simplify: Simplified to (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) 1544611653.823 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI 2) n)) (- 1/2 (/ k 2))) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))))) 1544611653.823 * * * * [misc]progress: [ 103 / 412 ] simplifiying candidate # 1544611653.823 * * * * [misc]progress: [ 104 / 412 ] simplifiying candidate # 1544611653.823 * * * * [misc]progress: [ 105 / 412 ] simplifiying candidate # 1544611653.824 * [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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611653.826 * * [misc]simplify: iters left: 6 (18 enodes) 1544611653.832 * * [misc]simplify: iters left: 5 (37 enodes) 1544611653.845 * * [misc]simplify: iters left: 4 (107 enodes) 1544611653.916 * * [misc]simplify: iters left: 3 (294 enodes) 1544611654.138 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (* k (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611654.139 * [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)))) (/ (* k (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1544611654.139 * * * * [misc]progress: [ 106 / 412 ] simplifiying candidate # 1544611654.139 * [enter]simplify: Simplifying (/ (* (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611654.140 * * [misc]simplify: iters left: 6 (18 enodes) 1544611654.145 * * [misc]simplify: iters left: 5 (39 enodes) 1544611654.160 * * [misc]simplify: iters left: 4 (100 enodes) 1544611654.198 * * [misc]simplify: iters left: 3 (245 enodes) 1544611654.337 * * [misc]simplify: iters left: 2 (463 enodes) 1544611654.685 * [exit]simplify: Simplified to (/ (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611654.685 * [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)))) (/ (* (sqrt k) k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1544611654.685 * * * * [misc]progress: [ 107 / 412 ] simplifiying candidate # 1544611654.685 * * * * [misc]progress: [ 108 / 412 ] simplifiying candidate # 1544611654.685 * * * * [misc]progress: [ 109 / 412 ] simplifiying candidate # 1544611654.685 * * * * [misc]progress: [ 110 / 412 ] simplifiying candidate # 1544611654.685 * * * * [misc]progress: [ 111 / 412 ] simplifiying candidate # 1544611654.685 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611654.687 * * [misc]simplify: iters left: 6 (18 enodes) 1544611654.693 * * [misc]simplify: iters left: 5 (30 enodes) 1544611654.705 * * [misc]simplify: iters left: 4 (48 enodes) 1544611654.719 * * [misc]simplify: iters left: 3 (52 enodes) 1544611654.732 * * [misc]simplify: iters left: 2 (55 enodes) 1544611654.753 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1544611654.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611654.753 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611654.755 * * [misc]simplify: iters left: 6 (16 enodes) 1544611654.761 * * [misc]simplify: iters left: 5 (22 enodes) 1544611654.770 * * [misc]simplify: iters left: 4 (31 enodes) 1544611654.781 * * [misc]simplify: iters left: 3 (33 enodes) 1544611654.792 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611654.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611654.793 * * * * [misc]progress: [ 112 / 412 ] simplifiying candidate # 1544611654.793 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611654.795 * * [misc]simplify: iters left: 6 (19 enodes) 1544611654.803 * * [misc]simplify: iters left: 5 (28 enodes) 1544611654.813 * * [misc]simplify: iters left: 4 (39 enodes) 1544611654.824 * * [misc]simplify: iters left: 3 (41 enodes) 1544611654.842 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611654.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611654.842 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611654.845 * * [misc]simplify: iters left: 6 (17 enodes) 1544611654.852 * * [misc]simplify: iters left: 5 (23 enodes) 1544611654.860 * * [misc]simplify: iters left: 4 (32 enodes) 1544611654.873 * * [misc]simplify: iters left: 3 (34 enodes) 1544611654.887 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611654.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611654.887 * * * * [misc]progress: [ 113 / 412 ] simplifiying candidate # 1544611654.887 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611654.889 * * [misc]simplify: iters left: 6 (17 enodes) 1544611654.897 * * [misc]simplify: iters left: 5 (25 enodes) 1544611654.903 * * [misc]simplify: iters left: 4 (36 enodes) 1544611654.909 * * [misc]simplify: iters left: 3 (38 enodes) 1544611654.917 * [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))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611654.917 * [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))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611654.917 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611654.918 * * [misc]simplify: iters left: 6 (16 enodes) 1544611654.922 * * [misc]simplify: iters left: 5 (22 enodes) 1544611654.927 * * [misc]simplify: iters left: 4 (31 enodes) 1544611654.933 * * [misc]simplify: iters left: 3 (33 enodes) 1544611654.939 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611654.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611654.939 * * * * [misc]progress: [ 114 / 412 ] simplifiying candidate # 1544611654.939 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt 1)) 1544611654.940 * * [misc]simplify: iters left: 6 (18 enodes) 1544611654.946 * * [misc]simplify: iters left: 5 (28 enodes) 1544611654.957 * * [misc]simplify: iters left: 4 (39 enodes) 1544611654.972 * * [misc]simplify: iters left: 3 (40 enodes) 1544611654.986 * * [misc]simplify: iters left: 2 (46 enodes) 1544611655.000 * * [misc]simplify: iters left: 1 (48 enodes) 1544611655.009 * [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))) (sqrt (sqrt k))))) 1544611655.009 * [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))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.009 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.010 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.013 * * [misc]simplify: iters left: 5 (21 enodes) 1544611655.017 * * [misc]simplify: iters left: 4 (30 enodes) 1544611655.022 * * [misc]simplify: iters left: 3 (31 enodes) 1544611655.028 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.028 * [misc]simplify: Simplified (2 2) 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))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.028 * * * * [misc]progress: [ 115 / 412 ] simplifiying candidate # 1544611655.028 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611655.029 * * [misc]simplify: iters left: 6 (17 enodes) 1544611655.033 * * [misc]simplify: iters left: 5 (25 enodes) 1544611655.040 * * [misc]simplify: iters left: 4 (36 enodes) 1544611655.052 * * [misc]simplify: iters left: 3 (38 enodes) 1544611655.060 * [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))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611655.060 * [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))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.060 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.063 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.066 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.070 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.075 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.081 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.081 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.081 * * * * [misc]progress: [ 116 / 412 ] simplifiying candidate # 1544611655.081 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1) 1544611655.082 * * [misc]simplify: iters left: 6 (17 enodes) 1544611655.086 * * [misc]simplify: iters left: 5 (27 enodes) 1544611655.093 * * [misc]simplify: iters left: 4 (42 enodes) 1544611655.100 * * [misc]simplify: iters left: 3 (57 enodes) 1544611655.113 * * [misc]simplify: iters left: 2 (83 enodes) 1544611655.133 * [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))) (sqrt (sqrt k))))) 1544611655.133 * [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))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.133 * [enter]simplify: Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.134 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.138 * * [misc]simplify: iters left: 5 (21 enodes) 1544611655.144 * * [misc]simplify: iters left: 4 (30 enodes) 1544611655.149 * * [misc]simplify: iters left: 3 (31 enodes) 1544611655.155 * [exit]simplify: Simplified to (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.155 * [misc]simplify: Simplified (2 2) 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))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.155 * * * * [misc]progress: [ 117 / 412 ] simplifiying candidate # 1544611655.155 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.157 * * [misc]simplify: iters left: 6 (17 enodes) 1544611655.165 * * [misc]simplify: iters left: 5 (25 enodes) 1544611655.176 * * [misc]simplify: iters left: 4 (34 enodes) 1544611655.186 * * [misc]simplify: iters left: 3 (35 enodes) 1544611655.199 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611655.200 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.201 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.208 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.218 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.228 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.240 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611655.240 * * * * [misc]progress: [ 118 / 412 ] simplifiying candidate # 1544611655.241 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611655.242 * * [misc]simplify: iters left: 6 (18 enodes) 1544611655.247 * * [misc]simplify: iters left: 5 (25 enodes) 1544611655.252 * * [misc]simplify: iters left: 4 (34 enodes) 1544611655.259 * * [misc]simplify: iters left: 3 (35 enodes) 1544611655.265 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611655.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611655.265 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611655.266 * * [misc]simplify: iters left: 6 (17 enodes) 1544611655.270 * * [misc]simplify: iters left: 5 (23 enodes) 1544611655.274 * * [misc]simplify: iters left: 4 (32 enodes) 1544611655.279 * * [misc]simplify: iters left: 3 (34 enodes) 1544611655.285 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611655.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611655.285 * * * * [misc]progress: [ 119 / 412 ] simplifiying candidate # 1544611655.285 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.286 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.290 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.294 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.299 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.311 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.311 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.311 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.313 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.320 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.329 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.335 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.344 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.344 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.344 * * * * [misc]progress: [ 120 / 412 ] simplifiying candidate # 1544611655.344 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt 1)) 1544611655.345 * * [misc]simplify: iters left: 6 (17 enodes) 1544611655.350 * * [misc]simplify: iters left: 5 (25 enodes) 1544611655.355 * * [misc]simplify: iters left: 4 (34 enodes) 1544611655.361 * * [misc]simplify: iters left: 3 (37 enodes) 1544611655.371 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544611655.371 * [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)))) (sqrt (sqrt k))))) 1544611655.371 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.372 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.379 * * [misc]simplify: iters left: 5 (21 enodes) 1544611655.388 * * [misc]simplify: iters left: 4 (30 enodes) 1544611655.394 * * [misc]simplify: iters left: 3 (31 enodes) 1544611655.400 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.400 * * * * [misc]progress: [ 121 / 412 ] simplifiying candidate # 1544611655.400 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.401 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.404 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.408 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.413 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.419 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.420 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.423 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.430 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.439 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.450 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.462 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.462 * * * * [misc]progress: [ 122 / 412 ] simplifiying candidate # 1544611655.462 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1) 1544611655.464 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.470 * * [misc]simplify: iters left: 5 (24 enodes) 1544611655.476 * * [misc]simplify: iters left: 4 (35 enodes) 1544611655.481 * * [misc]simplify: iters left: 3 (36 enodes) 1544611655.487 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544611655.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.487 * [enter]simplify: Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.488 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.491 * * [misc]simplify: iters left: 5 (21 enodes) 1544611655.496 * * [misc]simplify: iters left: 4 (30 enodes) 1544611655.501 * * [misc]simplify: iters left: 3 (31 enodes) 1544611655.507 * [exit]simplify: Simplified to (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.507 * * * * [misc]progress: [ 123 / 412 ] simplifiying candidate # 1544611655.507 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.508 * * [misc]simplify: iters left: 6 (14 enodes) 1544611655.511 * * [misc]simplify: iters left: 5 (25 enodes) 1544611655.525 * * [misc]simplify: iters left: 4 (37 enodes) 1544611655.537 * * [misc]simplify: iters left: 3 (40 enodes) 1544611655.551 * * [misc]simplify: iters left: 2 (44 enodes) 1544611655.559 * * [misc]simplify: iters left: 1 (46 enodes) 1544611655.568 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611655.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611655.568 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.569 * * [misc]simplify: iters left: 6 (14 enodes) 1544611655.572 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.576 * * [misc]simplify: iters left: 4 (28 enodes) 1544611655.581 * * [misc]simplify: iters left: 3 (29 enodes) 1544611655.586 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.586 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611655.586 * * * * [misc]progress: [ 124 / 412 ] simplifiying candidate # 1544611655.586 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611655.588 * * [misc]simplify: iters left: 6 (17 enodes) 1544611655.594 * * [misc]simplify: iters left: 5 (27 enodes) 1544611655.599 * * [misc]simplify: iters left: 4 (38 enodes) 1544611655.605 * * [misc]simplify: iters left: 3 (42 enodes) 1544611655.613 * * [misc]simplify: iters left: 2 (48 enodes) 1544611655.626 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611655.627 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611655.629 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.636 * * [misc]simplify: iters left: 5 (24 enodes) 1544611655.646 * * [misc]simplify: iters left: 4 (33 enodes) 1544611655.657 * * [misc]simplify: iters left: 3 (35 enodes) 1544611655.671 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611655.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611655.671 * * * * [misc]progress: [ 125 / 412 ] simplifiying candidate # 1544611655.672 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611655.673 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.680 * * [misc]simplify: iters left: 5 (24 enodes) 1544611655.684 * * [misc]simplify: iters left: 4 (35 enodes) 1544611655.690 * * [misc]simplify: iters left: 3 (39 enodes) 1544611655.696 * * [misc]simplify: iters left: 2 (45 enodes) 1544611655.705 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.705 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.708 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.711 * * [misc]simplify: iters left: 5 (23 enodes) 1544611655.718 * * [misc]simplify: iters left: 4 (32 enodes) 1544611655.728 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.741 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611655.742 * * * * [misc]progress: [ 126 / 412 ] simplifiying candidate # 1544611655.742 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544611655.743 * * [misc]simplify: iters left: 6 (16 enodes) 1544611655.751 * * [misc]simplify: iters left: 5 (27 enodes) 1544611655.762 * * [misc]simplify: iters left: 4 (38 enodes) 1544611655.774 * * [misc]simplify: iters left: 3 (42 enodes) 1544611655.784 * * [misc]simplify: iters left: 2 (45 enodes) 1544611655.797 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.797 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.797 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.799 * * [misc]simplify: iters left: 6 (14 enodes) 1544611655.805 * * [misc]simplify: iters left: 5 (22 enodes) 1544611655.814 * * [misc]simplify: iters left: 4 (31 enodes) 1544611655.824 * * [misc]simplify: iters left: 3 (32 enodes) 1544611655.840 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.840 * * * * [misc]progress: [ 127 / 412 ] simplifiying candidate # 1544611655.841 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611655.842 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.849 * * [misc]simplify: iters left: 5 (24 enodes) 1544611655.859 * * [misc]simplify: iters left: 4 (35 enodes) 1544611655.871 * * [misc]simplify: iters left: 3 (39 enodes) 1544611655.883 * * [misc]simplify: iters left: 2 (45 enodes) 1544611655.901 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611655.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611655.901 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611655.903 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.909 * * [misc]simplify: iters left: 5 (23 enodes) 1544611655.917 * * [misc]simplify: iters left: 4 (32 enodes) 1544611655.927 * * [misc]simplify: iters left: 3 (33 enodes) 1544611655.941 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611655.941 * * * * [misc]progress: [ 128 / 412 ] simplifiying candidate # 1544611655.941 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544611655.943 * * [misc]simplify: iters left: 6 (15 enodes) 1544611655.950 * * [misc]simplify: iters left: 5 (26 enodes) 1544611655.960 * * [misc]simplify: iters left: 4 (37 enodes) 1544611655.975 * * [misc]simplify: iters left: 3 (43 enodes) 1544611655.985 * * [misc]simplify: iters left: 2 (46 enodes) 1544611655.991 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611655.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611655.991 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611655.992 * * [misc]simplify: iters left: 6 (14 enodes) 1544611655.995 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.000 * * [misc]simplify: iters left: 4 (31 enodes) 1544611656.006 * * [misc]simplify: iters left: 3 (32 enodes) 1544611656.019 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.019 * * * * [misc]progress: [ 129 / 412 ] simplifiying candidate # 1544611656.019 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611656.021 * * [misc]simplify: iters left: 6 (17 enodes) 1544611656.029 * * [misc]simplify: iters left: 5 (27 enodes) 1544611656.040 * * [misc]simplify: iters left: 4 (39 enodes) 1544611656.053 * * [misc]simplify: iters left: 3 (45 enodes) 1544611656.065 * * [misc]simplify: iters left: 2 (46 enodes) 1544611656.075 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611656.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611656.076 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611656.077 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.080 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.084 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.089 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.097 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611656.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611656.097 * * * * [misc]progress: [ 130 / 412 ] simplifiying candidate # 1544611656.097 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611656.098 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.101 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.105 * * [misc]simplify: iters left: 4 (28 enodes) 1544611656.111 * * [misc]simplify: iters left: 3 (29 enodes) 1544611656.121 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611656.121 * [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))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611656.121 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611656.123 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.129 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.138 * * [misc]simplify: iters left: 4 (28 enodes) 1544611656.147 * * [misc]simplify: iters left: 3 (30 enodes) 1544611656.157 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544611656.157 * [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))))) 1544611656.157 * * * * [misc]progress: [ 131 / 412 ] simplifiying candidate # 1544611656.157 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611656.159 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.166 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.176 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.187 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.200 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611656.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.200 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.202 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.206 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.211 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.216 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.223 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.223 * * * * [misc]progress: [ 132 / 412 ] simplifiying candidate # 1544611656.223 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544611656.224 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.228 * * [misc]simplify: iters left: 5 (26 enodes) 1544611656.233 * * [misc]simplify: iters left: 4 (35 enodes) 1544611656.241 * * [misc]simplify: iters left: 3 (39 enodes) 1544611656.252 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) 1544611656.252 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.252 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.254 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.260 * * [misc]simplify: iters left: 5 (23 enodes) 1544611656.270 * * [misc]simplify: iters left: 4 (32 enodes) 1544611656.283 * * [misc]simplify: iters left: 3 (33 enodes) 1544611656.296 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611656.296 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611656.296 * * * * [misc]progress: [ 133 / 412 ] simplifiying candidate # 1544611656.297 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611656.299 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.306 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.315 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.324 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.337 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611656.337 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.338 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.339 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.342 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.347 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.352 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.359 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.359 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.359 * * * * [misc]progress: [ 134 / 412 ] simplifiying candidate # 1544611656.359 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544611656.360 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.363 * * [misc]simplify: iters left: 5 (25 enodes) 1544611656.367 * * [misc]simplify: iters left: 4 (34 enodes) 1544611656.375 * * [misc]simplify: iters left: 3 (40 enodes) 1544611656.381 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611656.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.381 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.382 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.385 * * [misc]simplify: iters left: 5 (23 enodes) 1544611656.389 * * [misc]simplify: iters left: 4 (32 enodes) 1544611656.394 * * [misc]simplify: iters left: 3 (33 enodes) 1544611656.400 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611656.400 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611656.400 * * * * [misc]progress: [ 135 / 412 ] simplifiying candidate # 1544611656.401 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611656.401 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.405 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.409 * * [misc]simplify: iters left: 4 (36 enodes) 1544611656.415 * * [misc]simplify: iters left: 3 (43 enodes) 1544611656.421 * * [misc]simplify: iters left: 2 (44 enodes) 1544611656.431 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611656.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611656.432 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611656.433 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.439 * * [misc]simplify: iters left: 5 (23 enodes) 1544611656.450 * * [misc]simplify: iters left: 4 (32 enodes) 1544611656.461 * * [misc]simplify: iters left: 3 (33 enodes) 1544611656.474 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.475 * * * * [misc]progress: [ 136 / 412 ] simplifiying candidate # 1544611656.475 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611656.477 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.484 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.494 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.505 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.517 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611656.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611656.517 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611656.519 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.522 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.527 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.533 * * [misc]simplify: iters left: 3 (35 enodes) 1544611656.540 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611656.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611656.540 * * * * [misc]progress: [ 137 / 412 ] simplifiying candidate # 1544611656.541 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.541 * * [misc]simplify: iters left: 6 (13 enodes) 1544611656.545 * * [misc]simplify: iters left: 5 (20 enodes) 1544611656.550 * * [misc]simplify: iters left: 4 (26 enodes) 1544611656.556 * * [misc]simplify: iters left: 3 (29 enodes) 1544611656.561 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611656.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.561 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.562 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.565 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.570 * * [misc]simplify: iters left: 4 (28 enodes) 1544611656.575 * * [misc]simplify: iters left: 3 (30 enodes) 1544611656.580 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611656.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611656.580 * * * * [misc]progress: [ 138 / 412 ] simplifiying candidate # 1544611656.580 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611656.581 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.586 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.596 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.608 * * [misc]simplify: iters left: 3 (38 enodes) 1544611656.613 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611656.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.613 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.614 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.617 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.621 * * [misc]simplify: iters left: 4 (31 enodes) 1544611656.626 * * [misc]simplify: iters left: 3 (32 enodes) 1544611656.632 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.632 * * * * [misc]progress: [ 139 / 412 ] simplifiying candidate # 1544611656.633 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.635 * * [misc]simplify: iters left: 6 (13 enodes) 1544611656.637 * * [misc]simplify: iters left: 5 (20 enodes) 1544611656.643 * * [misc]simplify: iters left: 4 (26 enodes) 1544611656.652 * * [misc]simplify: iters left: 3 (29 enodes) 1544611656.662 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611656.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611656.663 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611656.665 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.671 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.680 * * [misc]simplify: iters left: 4 (28 enodes) 1544611656.689 * * [misc]simplify: iters left: 3 (30 enodes) 1544611656.700 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611656.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611656.700 * * * * [misc]progress: [ 140 / 412 ] simplifiying candidate # 1544611656.700 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1) 1544611656.702 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.708 * * [misc]simplify: iters left: 5 (23 enodes) 1544611656.717 * * [misc]simplify: iters left: 4 (32 enodes) 1544611656.729 * * [misc]simplify: iters left: 3 (36 enodes) 1544611656.738 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611656.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.738 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.739 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.746 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.754 * * [misc]simplify: iters left: 4 (31 enodes) 1544611656.767 * * [misc]simplify: iters left: 3 (32 enodes) 1544611656.780 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.780 * * * * [misc]progress: [ 141 / 412 ] simplifiying candidate # 1544611656.781 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611656.782 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.791 * * [misc]simplify: iters left: 5 (27 enodes) 1544611656.802 * * [misc]simplify: iters left: 4 (40 enodes) 1544611656.817 * * [misc]simplify: iters left: 3 (47 enodes) 1544611656.825 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611656.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611656.825 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611656.826 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.829 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.833 * * [misc]simplify: iters left: 4 (31 enodes) 1544611656.838 * * [misc]simplify: iters left: 3 (32 enodes) 1544611656.844 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.844 * * * * [misc]progress: [ 142 / 412 ] simplifiying candidate # 1544611656.844 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611656.845 * * [misc]simplify: iters left: 6 (16 enodes) 1544611656.850 * * [misc]simplify: iters left: 5 (26 enodes) 1544611656.859 * * [misc]simplify: iters left: 4 (34 enodes) 1544611656.871 * * [misc]simplify: iters left: 3 (38 enodes) 1544611656.881 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) 1544611656.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611656.881 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611656.883 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.888 * * [misc]simplify: iters left: 5 (23 enodes) 1544611656.896 * * [misc]simplify: iters left: 4 (32 enodes) 1544611656.906 * * [misc]simplify: iters left: 3 (33 enodes) 1544611656.919 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.920 * * * * [misc]progress: [ 143 / 412 ] simplifiying candidate # 1544611656.920 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611656.921 * * [misc]simplify: iters left: 6 (15 enodes) 1544611656.928 * * [misc]simplify: iters left: 5 (24 enodes) 1544611656.933 * * [misc]simplify: iters left: 4 (33 enodes) 1544611656.938 * * [misc]simplify: iters left: 3 (37 enodes) 1544611656.944 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611656.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611656.944 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611656.945 * * [misc]simplify: iters left: 6 (14 enodes) 1544611656.948 * * [misc]simplify: iters left: 5 (22 enodes) 1544611656.952 * * [misc]simplify: iters left: 4 (31 enodes) 1544611656.958 * * [misc]simplify: iters left: 3 (32 enodes) 1544611656.964 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611656.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611656.964 * * * * [misc]progress: [ 144 / 412 ] simplifiying candidate # 1544611656.964 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt 1)) 1544611656.966 * * [misc]simplify: iters left: 6 (11 enodes) 1544611656.970 * * [misc]simplify: iters left: 5 (20 enodes) 1544611656.973 * * [misc]simplify: iters left: 4 (26 enodes) 1544611656.977 * * [misc]simplify: iters left: 3 (28 enodes) 1544611656.981 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611656.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611656.981 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611656.982 * * [misc]simplify: iters left: 6 (13 enodes) 1544611656.985 * * [misc]simplify: iters left: 5 (21 enodes) 1544611656.989 * * [misc]simplify: iters left: 4 (27 enodes) 1544611656.994 * * [misc]simplify: iters left: 3 (30 enodes) 1544611657.001 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611657.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611657.002 * * * * [misc]progress: [ 145 / 412 ] simplifiying candidate # 1544611657.002 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611657.003 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.006 * * [misc]simplify: iters left: 5 (24 enodes) 1544611657.011 * * [misc]simplify: iters left: 4 (33 enodes) 1544611657.016 * * [misc]simplify: iters left: 3 (37 enodes) 1544611657.021 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611657.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611657.021 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611657.022 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.026 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.030 * * [misc]simplify: iters left: 4 (31 enodes) 1544611657.038 * * [misc]simplify: iters left: 3 (32 enodes) 1544611657.051 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.051 * * * * [misc]progress: [ 146 / 412 ] simplifiying candidate # 1544611657.051 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1) 1544611657.052 * * [misc]simplify: iters left: 6 (11 enodes) 1544611657.058 * * [misc]simplify: iters left: 5 (20 enodes) 1544611657.064 * * [misc]simplify: iters left: 4 (26 enodes) 1544611657.070 * * [misc]simplify: iters left: 3 (28 enodes) 1544611657.076 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611657.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611657.077 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611657.078 * * [misc]simplify: iters left: 6 (13 enodes) 1544611657.084 * * [misc]simplify: iters left: 5 (21 enodes) 1544611657.091 * * [misc]simplify: iters left: 4 (27 enodes) 1544611657.099 * * [misc]simplify: iters left: 3 (30 enodes) 1544611657.110 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611657.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611657.110 * * * * [misc]progress: [ 147 / 412 ] simplifiying candidate # 1544611657.110 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611657.112 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.119 * * [misc]simplify: iters left: 5 (24 enodes) 1544611657.130 * * [misc]simplify: iters left: 4 (36 enodes) 1544611657.144 * * [misc]simplify: iters left: 3 (43 enodes) 1544611657.157 * * [misc]simplify: iters left: 2 (44 enodes) 1544611657.174 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611657.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611657.174 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611657.178 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.186 * * [misc]simplify: iters left: 5 (23 enodes) 1544611657.196 * * [misc]simplify: iters left: 4 (32 enodes) 1544611657.206 * * [misc]simplify: iters left: 3 (33 enodes) 1544611657.220 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611657.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611657.220 * * * * [misc]progress: [ 148 / 412 ] simplifiying candidate # 1544611657.220 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611657.222 * * [misc]simplify: iters left: 6 (16 enodes) 1544611657.229 * * [misc]simplify: iters left: 5 (24 enodes) 1544611657.239 * * [misc]simplify: iters left: 4 (33 enodes) 1544611657.250 * * [misc]simplify: iters left: 3 (35 enodes) 1544611657.264 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611657.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611657.264 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611657.266 * * [misc]simplify: iters left: 6 (16 enodes) 1544611657.273 * * [misc]simplify: iters left: 5 (24 enodes) 1544611657.283 * * [misc]simplify: iters left: 4 (33 enodes) 1544611657.294 * * [misc]simplify: iters left: 3 (35 enodes) 1544611657.309 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611657.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611657.309 * * * * [misc]progress: [ 149 / 412 ] simplifiying candidate # 1544611657.310 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611657.313 * * [misc]simplify: iters left: 6 (13 enodes) 1544611657.320 * * [misc]simplify: iters left: 5 (20 enodes) 1544611657.326 * * [misc]simplify: iters left: 4 (26 enodes) 1544611657.333 * * [misc]simplify: iters left: 3 (29 enodes) 1544611657.343 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611657.343 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611657.343 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611657.345 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.351 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.359 * * [misc]simplify: iters left: 4 (28 enodes) 1544611657.364 * * [misc]simplify: iters left: 3 (30 enodes) 1544611657.370 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611657.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611657.370 * * * * [misc]progress: [ 150 / 412 ] simplifiying candidate # 1544611657.371 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611657.372 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.376 * * [misc]simplify: iters left: 5 (24 enodes) 1544611657.380 * * [misc]simplify: iters left: 4 (33 enodes) 1544611657.386 * * [misc]simplify: iters left: 3 (38 enodes) 1544611657.391 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611657.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.392 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.393 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.399 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.409 * * [misc]simplify: iters left: 4 (31 enodes) 1544611657.421 * * [misc]simplify: iters left: 3 (32 enodes) 1544611657.431 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.431 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.431 * * * * [misc]progress: [ 151 / 412 ] simplifiying candidate # 1544611657.431 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611657.432 * * [misc]simplify: iters left: 6 (13 enodes) 1544611657.434 * * [misc]simplify: iters left: 5 (20 enodes) 1544611657.438 * * [misc]simplify: iters left: 4 (26 enodes) 1544611657.442 * * [misc]simplify: iters left: 3 (29 enodes) 1544611657.447 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611657.447 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611657.448 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611657.449 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.452 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.456 * * [misc]simplify: iters left: 4 (28 enodes) 1544611657.460 * * [misc]simplify: iters left: 3 (30 enodes) 1544611657.467 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611657.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611657.467 * * * * [misc]progress: [ 152 / 412 ] simplifiying candidate # 1544611657.468 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1) 1544611657.469 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.475 * * [misc]simplify: iters left: 5 (23 enodes) 1544611657.484 * * [misc]simplify: iters left: 4 (32 enodes) 1544611657.495 * * [misc]simplify: iters left: 3 (36 enodes) 1544611657.505 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611657.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.505 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.507 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.513 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.523 * * [misc]simplify: iters left: 4 (31 enodes) 1544611657.531 * * [misc]simplify: iters left: 3 (32 enodes) 1544611657.544 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.544 * * * * [misc]progress: [ 153 / 412 ] simplifiying candidate # 1544611657.544 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611657.546 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.552 * * [misc]simplify: iters left: 5 (26 enodes) 1544611657.558 * * [misc]simplify: iters left: 4 (40 enodes) 1544611657.565 * * [misc]simplify: iters left: 3 (50 enodes) 1544611657.573 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611657.573 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611657.573 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611657.574 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.578 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.585 * * [misc]simplify: iters left: 4 (31 enodes) 1544611657.594 * * [misc]simplify: iters left: 3 (32 enodes) 1544611657.606 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.606 * * * * [misc]progress: [ 154 / 412 ] simplifiying candidate # 1544611657.606 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611657.607 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.610 * * [misc]simplify: iters left: 5 (25 enodes) 1544611657.617 * * [misc]simplify: iters left: 4 (35 enodes) 1544611657.622 * * [misc]simplify: iters left: 3 (37 enodes) 1544611657.627 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611657.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611657.628 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611657.629 * * [misc]simplify: iters left: 6 (15 enodes) 1544611657.632 * * [misc]simplify: iters left: 5 (23 enodes) 1544611657.642 * * [misc]simplify: iters left: 4 (32 enodes) 1544611657.652 * * [misc]simplify: iters left: 3 (33 enodes) 1544611657.666 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.667 * * * * [misc]progress: [ 155 / 412 ] simplifiying candidate # 1544611657.667 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt (sqrt (sqrt k)))) 1544611657.669 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.675 * * [misc]simplify: iters left: 5 (23 enodes) 1544611657.680 * * [misc]simplify: iters left: 4 (34 enodes) 1544611657.685 * * [misc]simplify: iters left: 3 (35 enodes) 1544611657.689 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611657.689 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611657.690 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611657.691 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.694 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.698 * * [misc]simplify: iters left: 4 (31 enodes) 1544611657.703 * * [misc]simplify: iters left: 3 (32 enodes) 1544611657.717 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.717 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.717 * * * * [misc]progress: [ 156 / 412 ] simplifiying candidate # 1544611657.718 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt 1)) 1544611657.719 * * [misc]simplify: iters left: 6 (11 enodes) 1544611657.725 * * [misc]simplify: iters left: 5 (20 enodes) 1544611657.732 * * [misc]simplify: iters left: 4 (26 enodes) 1544611657.739 * * [misc]simplify: iters left: 3 (28 enodes) 1544611657.747 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611657.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611657.748 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611657.749 * * [misc]simplify: iters left: 6 (13 enodes) 1544611657.755 * * [misc]simplify: iters left: 5 (21 enodes) 1544611657.765 * * [misc]simplify: iters left: 4 (27 enodes) 1544611657.774 * * [misc]simplify: iters left: 3 (30 enodes) 1544611657.786 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611657.786 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611657.786 * * * * [misc]progress: [ 157 / 412 ] simplifiying candidate # 1544611657.787 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt (sqrt (sqrt k)))) 1544611657.788 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.795 * * [misc]simplify: iters left: 5 (23 enodes) 1544611657.805 * * [misc]simplify: iters left: 4 (34 enodes) 1544611657.811 * * [misc]simplify: iters left: 3 (35 enodes) 1544611657.816 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611657.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611657.816 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611657.817 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.820 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.824 * * [misc]simplify: iters left: 4 (31 enodes) 1544611657.830 * * [misc]simplify: iters left: 3 (32 enodes) 1544611657.836 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611657.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611657.836 * * * * [misc]progress: [ 158 / 412 ] simplifiying candidate # 1544611657.837 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) 1) 1544611657.837 * * [misc]simplify: iters left: 6 (10 enodes) 1544611657.840 * * [misc]simplify: iters left: 5 (19 enodes) 1544611657.843 * * [misc]simplify: iters left: 4 (25 enodes) 1544611657.846 * * [misc]simplify: iters left: 3 (26 enodes) 1544611657.850 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611657.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611657.850 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611657.851 * * [misc]simplify: iters left: 6 (13 enodes) 1544611657.856 * * [misc]simplify: iters left: 5 (21 enodes) 1544611657.864 * * [misc]simplify: iters left: 4 (27 enodes) 1544611657.873 * * [misc]simplify: iters left: 3 (30 enodes) 1544611657.881 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611657.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611657.881 * * * * [misc]progress: [ 159 / 412 ] simplifiying candidate # 1544611657.882 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611657.882 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.886 * * [misc]simplify: iters left: 5 (25 enodes) 1544611657.891 * * [misc]simplify: iters left: 4 (37 enodes) 1544611657.897 * * [misc]simplify: iters left: 3 (40 enodes) 1544611657.908 * * [misc]simplify: iters left: 2 (44 enodes) 1544611657.920 * * [misc]simplify: iters left: 1 (46 enodes) 1544611657.936 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611657.937 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611657.937 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611657.938 * * [misc]simplify: iters left: 6 (14 enodes) 1544611657.944 * * [misc]simplify: iters left: 5 (22 enodes) 1544611657.954 * * [misc]simplify: iters left: 4 (28 enodes) 1544611657.963 * * [misc]simplify: iters left: 3 (29 enodes) 1544611657.971 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611657.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611657.971 * * * * [misc]progress: [ 160 / 412 ] simplifiying candidate # 1544611657.971 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611657.972 * * [misc]simplify: iters left: 6 (17 enodes) 1544611657.976 * * [misc]simplify: iters left: 5 (27 enodes) 1544611657.981 * * [misc]simplify: iters left: 4 (38 enodes) 1544611657.987 * * [misc]simplify: iters left: 3 (42 enodes) 1544611657.993 * * [misc]simplify: iters left: 2 (48 enodes) 1544611658.003 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611658.003 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611658.005 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.012 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.023 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.034 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.042 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611658.042 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611658.042 * * * * [misc]progress: [ 161 / 412 ] simplifiying candidate # 1544611658.043 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611658.044 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.047 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.052 * * [misc]simplify: iters left: 4 (35 enodes) 1544611658.057 * * [misc]simplify: iters left: 3 (39 enodes) 1544611658.063 * * [misc]simplify: iters left: 2 (45 enodes) 1544611658.073 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.073 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.075 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.082 * * [misc]simplify: iters left: 5 (23 enodes) 1544611658.091 * * [misc]simplify: iters left: 4 (32 enodes) 1544611658.101 * * [misc]simplify: iters left: 3 (33 enodes) 1544611658.114 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611658.115 * * * * [misc]progress: [ 162 / 412 ] simplifiying candidate # 1544611658.117 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544611658.118 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.126 * * [misc]simplify: iters left: 5 (27 enodes) 1544611658.136 * * [misc]simplify: iters left: 4 (38 enodes) 1544611658.149 * * [misc]simplify: iters left: 3 (42 enodes) 1544611658.159 * * [misc]simplify: iters left: 2 (45 enodes) 1544611658.171 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.171 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.171 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.172 * * [misc]simplify: iters left: 6 (14 enodes) 1544611658.175 * * [misc]simplify: iters left: 5 (22 enodes) 1544611658.180 * * [misc]simplify: iters left: 4 (31 enodes) 1544611658.185 * * [misc]simplify: iters left: 3 (32 enodes) 1544611658.191 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.191 * * * * [misc]progress: [ 163 / 412 ] simplifiying candidate # 1544611658.192 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611658.192 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.196 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.201 * * [misc]simplify: iters left: 4 (35 enodes) 1544611658.206 * * [misc]simplify: iters left: 3 (39 enodes) 1544611658.220 * * [misc]simplify: iters left: 2 (45 enodes) 1544611658.239 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.239 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.241 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.248 * * [misc]simplify: iters left: 5 (23 enodes) 1544611658.256 * * [misc]simplify: iters left: 4 (32 enodes) 1544611658.261 * * [misc]simplify: iters left: 3 (33 enodes) 1544611658.267 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611658.267 * * * * [misc]progress: [ 164 / 412 ] simplifiying candidate # 1544611658.267 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544611658.268 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.272 * * [misc]simplify: iters left: 5 (26 enodes) 1544611658.276 * * [misc]simplify: iters left: 4 (37 enodes) 1544611658.283 * * [misc]simplify: iters left: 3 (43 enodes) 1544611658.289 * * [misc]simplify: iters left: 2 (46 enodes) 1544611658.295 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.295 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.296 * * [misc]simplify: iters left: 6 (14 enodes) 1544611658.299 * * [misc]simplify: iters left: 5 (22 enodes) 1544611658.305 * * [misc]simplify: iters left: 4 (31 enodes) 1544611658.310 * * [misc]simplify: iters left: 3 (32 enodes) 1544611658.321 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.321 * * * * [misc]progress: [ 165 / 412 ] simplifiying candidate # 1544611658.322 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.324 * * [misc]simplify: iters left: 6 (17 enodes) 1544611658.332 * * [misc]simplify: iters left: 5 (27 enodes) 1544611658.342 * * [misc]simplify: iters left: 4 (39 enodes) 1544611658.356 * * [misc]simplify: iters left: 3 (45 enodes) 1544611658.368 * * [misc]simplify: iters left: 2 (46 enodes) 1544611658.386 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611658.387 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.389 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.396 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.406 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.417 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.432 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611658.432 * * * * [misc]progress: [ 166 / 412 ] simplifiying candidate # 1544611658.433 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611658.434 * * [misc]simplify: iters left: 6 (14 enodes) 1544611658.440 * * [misc]simplify: iters left: 5 (22 enodes) 1544611658.448 * * [misc]simplify: iters left: 4 (28 enodes) 1544611658.457 * * [misc]simplify: iters left: 3 (29 enodes) 1544611658.468 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611658.468 * [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))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611658.468 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611658.470 * * [misc]simplify: iters left: 6 (14 enodes) 1544611658.476 * * [misc]simplify: iters left: 5 (22 enodes) 1544611658.484 * * [misc]simplify: iters left: 4 (28 enodes) 1544611658.493 * * [misc]simplify: iters left: 3 (30 enodes) 1544611658.503 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544611658.503 * [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))))) 1544611658.503 * * * * [misc]progress: [ 167 / 412 ] simplifiying candidate # 1544611658.504 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611658.505 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.512 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.521 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.530 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.543 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611658.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.543 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.544 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.551 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.562 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.572 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.586 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.586 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.586 * * * * [misc]progress: [ 168 / 412 ] simplifiying candidate # 1544611658.587 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544611658.588 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.596 * * [misc]simplify: iters left: 5 (26 enodes) 1544611658.605 * * [misc]simplify: iters left: 4 (35 enodes) 1544611658.615 * * [misc]simplify: iters left: 3 (39 enodes) 1544611658.626 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) 1544611658.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.626 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.628 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.633 * * [misc]simplify: iters left: 5 (23 enodes) 1544611658.642 * * [misc]simplify: iters left: 4 (32 enodes) 1544611658.651 * * [misc]simplify: iters left: 3 (33 enodes) 1544611658.663 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611658.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611658.663 * * * * [misc]progress: [ 169 / 412 ] simplifiying candidate # 1544611658.663 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611658.665 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.671 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.680 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.692 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.704 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611658.704 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.704 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.705 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.708 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.713 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.719 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.725 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.725 * * * * [misc]progress: [ 170 / 412 ] simplifiying candidate # 1544611658.726 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544611658.726 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.730 * * [misc]simplify: iters left: 5 (25 enodes) 1544611658.735 * * [misc]simplify: iters left: 4 (34 enodes) 1544611658.741 * * [misc]simplify: iters left: 3 (40 enodes) 1544611658.747 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611658.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.747 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.748 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.751 * * [misc]simplify: iters left: 5 (23 enodes) 1544611658.756 * * [misc]simplify: iters left: 4 (32 enodes) 1544611658.765 * * [misc]simplify: iters left: 3 (33 enodes) 1544611658.778 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611658.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611658.778 * * * * [misc]progress: [ 171 / 412 ] simplifiying candidate # 1544611658.779 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.780 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.786 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.797 * * [misc]simplify: iters left: 4 (36 enodes) 1544611658.809 * * [misc]simplify: iters left: 3 (43 enodes) 1544611658.821 * * [misc]simplify: iters left: 2 (44 enodes) 1544611658.830 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611658.830 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611658.831 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611658.831 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.835 * * [misc]simplify: iters left: 5 (23 enodes) 1544611658.839 * * [misc]simplify: iters left: 4 (32 enodes) 1544611658.844 * * [misc]simplify: iters left: 3 (33 enodes) 1544611658.853 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.854 * * * * [misc]progress: [ 172 / 412 ] simplifiying candidate # 1544611658.854 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611658.855 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.863 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.873 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.879 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.885 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611658.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611658.885 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611658.886 * * [misc]simplify: iters left: 6 (16 enodes) 1544611658.890 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.895 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.900 * * [misc]simplify: iters left: 3 (35 enodes) 1544611658.907 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611658.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611658.907 * * * * [misc]progress: [ 173 / 412 ] simplifiying candidate # 1544611658.907 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.908 * * [misc]simplify: iters left: 6 (13 enodes) 1544611658.911 * * [misc]simplify: iters left: 5 (20 enodes) 1544611658.915 * * [misc]simplify: iters left: 4 (26 enodes) 1544611658.919 * * [misc]simplify: iters left: 3 (29 enodes) 1544611658.924 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611658.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611658.924 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611658.925 * * [misc]simplify: iters left: 6 (14 enodes) 1544611658.929 * * [misc]simplify: iters left: 5 (22 enodes) 1544611658.937 * * [misc]simplify: iters left: 4 (28 enodes) 1544611658.948 * * [misc]simplify: iters left: 3 (30 enodes) 1544611658.953 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611658.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611658.954 * * * * [misc]progress: [ 174 / 412 ] simplifiying candidate # 1544611658.954 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611658.955 * * [misc]simplify: iters left: 6 (15 enodes) 1544611658.959 * * [misc]simplify: iters left: 5 (24 enodes) 1544611658.964 * * [misc]simplify: iters left: 4 (33 enodes) 1544611658.971 * * [misc]simplify: iters left: 3 (38 enodes) 1544611658.976 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611658.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611658.976 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611658.977 * * [misc]simplify: iters left: 6 (14 enodes) 1544611658.982 * * [misc]simplify: iters left: 5 (22 enodes) 1544611658.991 * * [misc]simplify: iters left: 4 (31 enodes) 1544611658.998 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.005 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.005 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.005 * * * * [misc]progress: [ 175 / 412 ] simplifiying candidate # 1544611659.005 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.006 * * [misc]simplify: iters left: 6 (13 enodes) 1544611659.009 * * [misc]simplify: iters left: 5 (20 enodes) 1544611659.012 * * [misc]simplify: iters left: 4 (26 enodes) 1544611659.017 * * [misc]simplify: iters left: 3 (29 enodes) 1544611659.022 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611659.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611659.022 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.023 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.028 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.032 * * [misc]simplify: iters left: 4 (28 enodes) 1544611659.036 * * [misc]simplify: iters left: 3 (30 enodes) 1544611659.044 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611659.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611659.044 * * * * [misc]progress: [ 176 / 412 ] simplifiying candidate # 1544611659.045 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1) 1544611659.046 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.052 * * [misc]simplify: iters left: 5 (23 enodes) 1544611659.060 * * [misc]simplify: iters left: 4 (32 enodes) 1544611659.071 * * [misc]simplify: iters left: 3 (36 enodes) 1544611659.081 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611659.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.082 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.083 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.089 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.098 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.108 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.121 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.121 * * * * [misc]progress: [ 177 / 412 ] simplifiying candidate # 1544611659.121 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611659.123 * * [misc]simplify: iters left: 6 (16 enodes) 1544611659.127 * * [misc]simplify: iters left: 5 (27 enodes) 1544611659.133 * * [misc]simplify: iters left: 4 (40 enodes) 1544611659.143 * * [misc]simplify: iters left: 3 (47 enodes) 1544611659.150 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611659.150 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611659.150 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611659.152 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.155 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.160 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.166 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.172 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.172 * * * * [misc]progress: [ 178 / 412 ] simplifiying candidate # 1544611659.172 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611659.173 * * [misc]simplify: iters left: 6 (16 enodes) 1544611659.180 * * [misc]simplify: iters left: 5 (26 enodes) 1544611659.190 * * [misc]simplify: iters left: 4 (34 enodes) 1544611659.201 * * [misc]simplify: iters left: 3 (38 enodes) 1544611659.212 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) 1544611659.212 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611659.213 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611659.214 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.218 * * [misc]simplify: iters left: 5 (23 enodes) 1544611659.223 * * [misc]simplify: iters left: 4 (32 enodes) 1544611659.227 * * [misc]simplify: iters left: 3 (33 enodes) 1544611659.235 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.235 * * * * [misc]progress: [ 179 / 412 ] simplifiying candidate # 1544611659.236 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611659.236 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.240 * * [misc]simplify: iters left: 5 (24 enodes) 1544611659.244 * * [misc]simplify: iters left: 4 (33 enodes) 1544611659.252 * * [misc]simplify: iters left: 3 (37 enodes) 1544611659.263 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611659.263 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611659.263 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611659.264 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.271 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.277 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.282 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.288 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.288 * * * * [misc]progress: [ 180 / 412 ] simplifiying candidate # 1544611659.288 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt 1)) 1544611659.289 * * [misc]simplify: iters left: 6 (11 enodes) 1544611659.292 * * [misc]simplify: iters left: 5 (20 enodes) 1544611659.295 * * [misc]simplify: iters left: 4 (26 enodes) 1544611659.299 * * [misc]simplify: iters left: 3 (28 enodes) 1544611659.305 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611659.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611659.305 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611659.307 * * [misc]simplify: iters left: 6 (13 enodes) 1544611659.312 * * [misc]simplify: iters left: 5 (21 enodes) 1544611659.320 * * [misc]simplify: iters left: 4 (27 enodes) 1544611659.332 * * [misc]simplify: iters left: 3 (30 enodes) 1544611659.342 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611659.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611659.343 * * * * [misc]progress: [ 181 / 412 ] simplifiying candidate # 1544611659.343 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611659.344 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.352 * * [misc]simplify: iters left: 5 (24 enodes) 1544611659.361 * * [misc]simplify: iters left: 4 (33 enodes) 1544611659.372 * * [misc]simplify: iters left: 3 (37 enodes) 1544611659.382 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611659.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611659.383 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611659.384 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.391 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.400 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.410 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.416 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.417 * * * * [misc]progress: [ 182 / 412 ] simplifiying candidate # 1544611659.417 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1) 1544611659.417 * * [misc]simplify: iters left: 6 (11 enodes) 1544611659.421 * * [misc]simplify: iters left: 5 (20 enodes) 1544611659.424 * * [misc]simplify: iters left: 4 (26 enodes) 1544611659.429 * * [misc]simplify: iters left: 3 (28 enodes) 1544611659.432 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611659.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611659.432 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611659.433 * * [misc]simplify: iters left: 6 (13 enodes) 1544611659.438 * * [misc]simplify: iters left: 5 (21 enodes) 1544611659.442 * * [misc]simplify: iters left: 4 (27 enodes) 1544611659.450 * * [misc]simplify: iters left: 3 (30 enodes) 1544611659.460 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611659.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611659.460 * * * * [misc]progress: [ 183 / 412 ] simplifiying candidate # 1544611659.460 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611659.462 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.468 * * [misc]simplify: iters left: 5 (24 enodes) 1544611659.478 * * [misc]simplify: iters left: 4 (36 enodes) 1544611659.489 * * [misc]simplify: iters left: 3 (43 enodes) 1544611659.495 * * [misc]simplify: iters left: 2 (44 enodes) 1544611659.509 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611659.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611659.509 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611659.511 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.516 * * [misc]simplify: iters left: 5 (23 enodes) 1544611659.524 * * [misc]simplify: iters left: 4 (32 enodes) 1544611659.533 * * [misc]simplify: iters left: 3 (33 enodes) 1544611659.544 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611659.545 * * * * [misc]progress: [ 184 / 412 ] simplifiying candidate # 1544611659.545 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611659.548 * * [misc]simplify: iters left: 6 (16 enodes) 1544611659.554 * * [misc]simplify: iters left: 5 (24 enodes) 1544611659.563 * * [misc]simplify: iters left: 4 (33 enodes) 1544611659.573 * * [misc]simplify: iters left: 3 (35 enodes) 1544611659.586 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611659.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611659.587 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611659.588 * * [misc]simplify: iters left: 6 (16 enodes) 1544611659.595 * * [misc]simplify: iters left: 5 (24 enodes) 1544611659.603 * * [misc]simplify: iters left: 4 (33 enodes) 1544611659.613 * * [misc]simplify: iters left: 3 (35 enodes) 1544611659.625 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611659.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611659.625 * * * * [misc]progress: [ 185 / 412 ] simplifiying candidate # 1544611659.625 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.626 * * [misc]simplify: iters left: 6 (13 enodes) 1544611659.631 * * [misc]simplify: iters left: 5 (20 enodes) 1544611659.638 * * [misc]simplify: iters left: 4 (26 enodes) 1544611659.646 * * [misc]simplify: iters left: 3 (29 enodes) 1544611659.655 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611659.655 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611659.655 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.656 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.662 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.673 * * [misc]simplify: iters left: 4 (28 enodes) 1544611659.682 * * [misc]simplify: iters left: 3 (30 enodes) 1544611659.693 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611659.693 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611659.693 * * * * [misc]progress: [ 186 / 412 ] simplifiying candidate # 1544611659.694 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611659.695 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.703 * * [misc]simplify: iters left: 5 (24 enodes) 1544611659.711 * * [misc]simplify: iters left: 4 (33 enodes) 1544611659.723 * * [misc]simplify: iters left: 3 (38 enodes) 1544611659.733 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611659.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.733 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.735 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.740 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.745 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.750 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.757 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.757 * * * * [misc]progress: [ 187 / 412 ] simplifiying candidate # 1544611659.757 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.758 * * [misc]simplify: iters left: 6 (13 enodes) 1544611659.761 * * [misc]simplify: iters left: 5 (20 enodes) 1544611659.765 * * [misc]simplify: iters left: 4 (26 enodes) 1544611659.770 * * [misc]simplify: iters left: 3 (29 enodes) 1544611659.778 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) 1544611659.778 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611659.778 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611659.780 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.786 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.794 * * [misc]simplify: iters left: 4 (28 enodes) 1544611659.803 * * [misc]simplify: iters left: 3 (30 enodes) 1544611659.813 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544611659.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))))) 1544611659.813 * * * * [misc]progress: [ 188 / 412 ] simplifiying candidate # 1544611659.814 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1) 1544611659.815 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.821 * * [misc]simplify: iters left: 5 (23 enodes) 1544611659.829 * * [misc]simplify: iters left: 4 (32 enodes) 1544611659.840 * * [misc]simplify: iters left: 3 (36 enodes) 1544611659.850 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611659.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.851 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.852 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.855 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.859 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.864 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.870 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.870 * * * * [misc]progress: [ 189 / 412 ] simplifiying candidate # 1544611659.871 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611659.871 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.875 * * [misc]simplify: iters left: 5 (26 enodes) 1544611659.884 * * [misc]simplify: iters left: 4 (40 enodes) 1544611659.898 * * [misc]simplify: iters left: 3 (50 enodes) 1544611659.913 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611659.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611659.914 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611659.916 * * [misc]simplify: iters left: 6 (14 enodes) 1544611659.921 * * [misc]simplify: iters left: 5 (22 enodes) 1544611659.926 * * [misc]simplify: iters left: 4 (31 enodes) 1544611659.931 * * [misc]simplify: iters left: 3 (32 enodes) 1544611659.938 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611659.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611659.938 * * * * [misc]progress: [ 190 / 412 ] simplifiying candidate # 1544611659.939 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611659.940 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.944 * * [misc]simplify: iters left: 5 (25 enodes) 1544611659.950 * * [misc]simplify: iters left: 4 (35 enodes) 1544611659.956 * * [misc]simplify: iters left: 3 (37 enodes) 1544611659.966 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611659.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611659.967 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611659.968 * * [misc]simplify: iters left: 6 (15 enodes) 1544611659.975 * * [misc]simplify: iters left: 5 (23 enodes) 1544611659.985 * * [misc]simplify: iters left: 4 (32 enodes) 1544611659.999 * * [misc]simplify: iters left: 3 (33 enodes) 1544611660.012 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.012 * * * * [misc]progress: [ 191 / 412 ] simplifiying candidate # 1544611660.012 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt (sqrt (sqrt k)))) 1544611660.013 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.016 * * [misc]simplify: iters left: 5 (23 enodes) 1544611660.021 * * [misc]simplify: iters left: 4 (34 enodes) 1544611660.026 * * [misc]simplify: iters left: 3 (35 enodes) 1544611660.031 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611660.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611660.031 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611660.032 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.035 * * [misc]simplify: iters left: 5 (22 enodes) 1544611660.039 * * [misc]simplify: iters left: 4 (31 enodes) 1544611660.044 * * [misc]simplify: iters left: 3 (32 enodes) 1544611660.053 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.054 * * * * [misc]progress: [ 192 / 412 ] simplifiying candidate # 1544611660.054 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt 1)) 1544611660.055 * * [misc]simplify: iters left: 6 (11 enodes) 1544611660.061 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.068 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.075 * * [misc]simplify: iters left: 3 (28 enodes) 1544611660.083 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611660.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611660.083 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611660.085 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.093 * * [misc]simplify: iters left: 5 (21 enodes) 1544611660.101 * * [misc]simplify: iters left: 4 (27 enodes) 1544611660.111 * * [misc]simplify: iters left: 3 (30 enodes) 1544611660.120 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611660.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611660.120 * * * * [misc]progress: [ 193 / 412 ] simplifiying candidate # 1544611660.121 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) (sqrt (sqrt (sqrt k)))) 1544611660.122 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.128 * * [misc]simplify: iters left: 5 (23 enodes) 1544611660.139 * * [misc]simplify: iters left: 4 (34 enodes) 1544611660.146 * * [misc]simplify: iters left: 3 (35 enodes) 1544611660.151 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611660.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611660.151 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611660.152 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.155 * * [misc]simplify: iters left: 5 (22 enodes) 1544611660.160 * * [misc]simplify: iters left: 4 (31 enodes) 1544611660.165 * * [misc]simplify: iters left: 3 (32 enodes) 1544611660.171 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.171 * * * * [misc]progress: [ 194 / 412 ] simplifiying candidate # 1544611660.172 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) 1) 1) 1544611660.172 * * [misc]simplify: iters left: 6 (10 enodes) 1544611660.175 * * [misc]simplify: iters left: 5 (19 enodes) 1544611660.178 * * [misc]simplify: iters left: 4 (25 enodes) 1544611660.182 * * [misc]simplify: iters left: 3 (26 enodes) 1544611660.185 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611660.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611660.185 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611660.188 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.190 * * [misc]simplify: iters left: 5 (21 enodes) 1544611660.194 * * [misc]simplify: iters left: 4 (27 enodes) 1544611660.199 * * [misc]simplify: iters left: 3 (30 enodes) 1544611660.204 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544611660.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* 2 n) PI)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544611660.204 * * * * [misc]progress: [ 195 / 412 ] simplifiying candidate # 1544611660.204 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.205 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.208 * * [misc]simplify: iters left: 5 (21 enodes) 1544611660.212 * * [misc]simplify: iters left: 4 (30 enodes) 1544611660.218 * * [misc]simplify: iters left: 3 (32 enodes) 1544611660.229 * * [misc]simplify: iters left: 2 (36 enodes) 1544611660.240 * * [misc]simplify: iters left: 1 (38 enodes) 1544611660.248 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611660.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611660.248 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611660.249 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.252 * * [misc]simplify: iters left: 5 (18 enodes) 1544611660.255 * * [misc]simplify: iters left: 4 (21 enodes) 1544611660.259 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611660.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611660.259 * * * * [misc]progress: [ 196 / 412 ] simplifiying candidate # 1544611660.259 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611660.260 * * [misc]simplify: iters left: 6 (16 enodes) 1544611660.263 * * [misc]simplify: iters left: 5 (23 enodes) 1544611660.268 * * [misc]simplify: iters left: 4 (31 enodes) 1544611660.277 * * [misc]simplify: iters left: 3 (34 enodes) 1544611660.289 * * [misc]simplify: iters left: 2 (40 enodes) 1544611660.308 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611660.308 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611660.310 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.313 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.317 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.323 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611660.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611660.323 * * * * [misc]progress: [ 197 / 412 ] simplifiying candidate # 1544611660.323 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611660.324 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.327 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.331 * * [misc]simplify: iters left: 4 (28 enodes) 1544611660.336 * * [misc]simplify: iters left: 3 (31 enodes) 1544611660.341 * * [misc]simplify: iters left: 2 (37 enodes) 1544611660.349 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.349 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611660.349 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611660.350 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.353 * * [misc]simplify: iters left: 5 (19 enodes) 1544611660.357 * * [misc]simplify: iters left: 4 (25 enodes) 1544611660.363 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611660.364 * * * * [misc]progress: [ 198 / 412 ] simplifiying candidate # 1544611660.364 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544611660.365 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.369 * * [misc]simplify: iters left: 5 (23 enodes) 1544611660.374 * * [misc]simplify: iters left: 4 (31 enodes) 1544611660.384 * * [misc]simplify: iters left: 3 (34 enodes) 1544611660.393 * * [misc]simplify: iters left: 2 (39 enodes) 1544611660.398 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.398 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.399 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.402 * * [misc]simplify: iters left: 5 (18 enodes) 1544611660.405 * * [misc]simplify: iters left: 4 (24 enodes) 1544611660.410 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544611660.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544611660.410 * * * * [misc]progress: [ 199 / 412 ] simplifiying candidate # 1544611660.410 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611660.411 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.414 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.421 * * [misc]simplify: iters left: 4 (28 enodes) 1544611660.430 * * [misc]simplify: iters left: 3 (31 enodes) 1544611660.440 * * [misc]simplify: iters left: 2 (37 enodes) 1544611660.450 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611660.451 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611660.452 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.456 * * [misc]simplify: iters left: 5 (19 enodes) 1544611660.460 * * [misc]simplify: iters left: 4 (25 enodes) 1544611660.465 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.465 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611660.465 * * * * [misc]progress: [ 200 / 412 ] simplifiying candidate # 1544611660.465 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544611660.466 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.469 * * [misc]simplify: iters left: 5 (22 enodes) 1544611660.473 * * [misc]simplify: iters left: 4 (30 enodes) 1544611660.482 * * [misc]simplify: iters left: 3 (35 enodes) 1544611660.491 * * [misc]simplify: iters left: 2 (40 enodes) 1544611660.502 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.502 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.504 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.509 * * [misc]simplify: iters left: 5 (18 enodes) 1544611660.516 * * [misc]simplify: iters left: 4 (24 enodes) 1544611660.526 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544611660.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544611660.526 * * * * [misc]progress: [ 201 / 412 ] simplifiying candidate # 1544611660.527 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.530 * * [misc]simplify: iters left: 6 (16 enodes) 1544611660.537 * * [misc]simplify: iters left: 5 (23 enodes) 1544611660.546 * * [misc]simplify: iters left: 4 (32 enodes) 1544611660.557 * * [misc]simplify: iters left: 3 (37 enodes) 1544611660.568 * * [misc]simplify: iters left: 2 (38 enodes) 1544611660.586 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611660.586 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611660.588 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.594 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.601 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.611 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.611 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611660.611 * * * * [misc]progress: [ 202 / 412 ] simplifiying candidate # 1544611660.612 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611660.612 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.615 * * [misc]simplify: iters left: 5 (18 enodes) 1544611660.618 * * [misc]simplify: iters left: 4 (21 enodes) 1544611660.622 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611660.622 * [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))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611660.622 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611660.623 * * [misc]simplify: iters left: 6 (13 enodes) 1544611660.625 * * [misc]simplify: iters left: 5 (18 enodes) 1544611660.628 * * [misc]simplify: iters left: 4 (21 enodes) 1544611660.631 * * [misc]simplify: iters left: 3 (22 enodes) 1544611660.635 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544611660.635 * [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))))) 1544611660.635 * * * * [misc]progress: [ 203 / 412 ] simplifiying candidate # 1544611660.636 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611660.637 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.640 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.643 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.649 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611660.649 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611660.650 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.653 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.656 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.663 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611660.663 * * * * [misc]progress: [ 204 / 412 ] simplifiying candidate # 1544611660.663 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544611660.664 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.667 * * [misc]simplify: iters left: 5 (22 enodes) 1544611660.671 * * [misc]simplify: iters left: 4 (28 enodes) 1544611660.679 * * [misc]simplify: iters left: 3 (32 enodes) 1544611660.686 * * [misc]simplify: iters left: 2 (33 enodes) 1544611660.694 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611660.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.695 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.696 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.703 * * [misc]simplify: iters left: 5 (19 enodes) 1544611660.710 * * [misc]simplify: iters left: 4 (25 enodes) 1544611660.720 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544611660.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544611660.720 * * * * [misc]progress: [ 205 / 412 ] simplifiying candidate # 1544611660.720 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611660.722 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.728 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.736 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.747 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611660.748 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611660.749 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.755 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.763 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.775 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611660.775 * * * * [misc]progress: [ 206 / 412 ] simplifiying candidate # 1544611660.775 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544611660.776 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.782 * * [misc]simplify: iters left: 5 (21 enodes) 1544611660.791 * * [misc]simplify: iters left: 4 (27 enodes) 1544611660.801 * * [misc]simplify: iters left: 3 (32 enodes) 1544611660.808 * * [misc]simplify: iters left: 2 (33 enodes) 1544611660.816 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611660.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611660.816 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611660.818 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.823 * * [misc]simplify: iters left: 5 (19 enodes) 1544611660.830 * * [misc]simplify: iters left: 4 (25 enodes) 1544611660.840 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544611660.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544611660.840 * * * * [misc]progress: [ 207 / 412 ] simplifiying candidate # 1544611660.840 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.842 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.848 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.856 * * [misc]simplify: iters left: 4 (29 enodes) 1544611660.865 * * [misc]simplify: iters left: 3 (34 enodes) 1544611660.874 * * [misc]simplify: iters left: 2 (35 enodes) 1544611660.889 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611660.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611660.889 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611660.890 * * [misc]simplify: iters left: 6 (14 enodes) 1544611660.897 * * [misc]simplify: iters left: 5 (19 enodes) 1544611660.904 * * [misc]simplify: iters left: 4 (25 enodes) 1544611660.915 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611660.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611660.915 * * * * [misc]progress: [ 208 / 412 ] simplifiying candidate # 1544611660.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611660.917 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.925 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.932 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.943 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611660.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611660.944 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611660.946 * * [misc]simplify: iters left: 6 (15 enodes) 1544611660.951 * * [misc]simplify: iters left: 5 (20 enodes) 1544611660.958 * * [misc]simplify: iters left: 4 (26 enodes) 1544611660.970 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611660.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611660.970 * * * * [misc]progress: [ 209 / 412 ] simplifiying candidate # 1544611660.970 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611660.972 * * [misc]simplify: iters left: 6 (12 enodes) 1544611660.977 * * [misc]simplify: iters left: 5 (16 enodes) 1544611660.983 * * [misc]simplify: iters left: 4 (19 enodes) 1544611660.988 * * [misc]simplify: iters left: 3 (20 enodes) 1544611660.995 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611660.995 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611660.995 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611660.997 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.002 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.010 * * [misc]simplify: iters left: 4 (21 enodes) 1544611661.016 * * [misc]simplify: iters left: 3 (22 enodes) 1544611661.023 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.023 * [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))))) 1544611661.024 * * * * [misc]progress: [ 210 / 412 ] simplifiying candidate # 1544611661.024 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611661.025 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.031 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.035 * * [misc]simplify: iters left: 4 (26 enodes) 1544611661.039 * * [misc]simplify: iters left: 3 (30 enodes) 1544611661.043 * * [misc]simplify: iters left: 2 (31 enodes) 1544611661.047 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.047 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.047 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.049 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.052 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.055 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.061 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611661.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611661.061 * * * * [misc]progress: [ 211 / 412 ] simplifiying candidate # 1544611661.061 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611661.062 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.067 * * [misc]simplify: iters left: 5 (16 enodes) 1544611661.073 * * [misc]simplify: iters left: 4 (19 enodes) 1544611661.078 * * [misc]simplify: iters left: 3 (20 enodes) 1544611661.086 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.086 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611661.086 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611661.087 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.093 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.099 * * [misc]simplify: iters left: 4 (21 enodes) 1544611661.106 * * [misc]simplify: iters left: 3 (22 enodes) 1544611661.114 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.114 * [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))))) 1544611661.114 * * * * [misc]progress: [ 212 / 412 ] simplifiying candidate # 1544611661.114 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) 1544611661.116 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.122 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.130 * * [misc]simplify: iters left: 4 (25 enodes) 1544611661.135 * * [misc]simplify: iters left: 3 (29 enodes) 1544611661.139 * * [misc]simplify: iters left: 2 (30 enodes) 1544611661.143 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.143 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.144 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.146 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.150 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.154 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611661.155 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611661.155 * * * * [misc]progress: [ 213 / 412 ] simplifiying candidate # 1544611661.155 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.157 * * [misc]simplify: iters left: 6 (15 enodes) 1544611661.161 * * [misc]simplify: iters left: 5 (23 enodes) 1544611661.165 * * [misc]simplify: iters left: 4 (31 enodes) 1544611661.172 * * [misc]simplify: iters left: 3 (39 enodes) 1544611661.182 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611661.182 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611661.183 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.188 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.195 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.203 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.203 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.203 * * * * [misc]progress: [ 214 / 412 ] simplifiying candidate # 1544611661.204 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611661.205 * * [misc]simplify: iters left: 6 (15 enodes) 1544611661.212 * * [misc]simplify: iters left: 5 (22 enodes) 1544611661.219 * * [misc]simplify: iters left: 4 (26 enodes) 1544611661.228 * * [misc]simplify: iters left: 3 (30 enodes) 1544611661.237 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611661.237 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611661.237 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611661.238 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.244 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.251 * * [misc]simplify: iters left: 4 (25 enodes) 1544611661.262 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544611661.262 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544611661.262 * * * * [misc]progress: [ 215 / 412 ] simplifiying candidate # 1544611661.262 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611661.264 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.267 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.270 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.276 * * [misc]simplify: iters left: 3 (28 enodes) 1544611661.280 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.280 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611661.280 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611661.281 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.284 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.287 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.292 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.292 * * * * [misc]progress: [ 216 / 412 ] simplifiying candidate # 1544611661.293 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (sqrt 1)) 1544611661.293 * * [misc]simplify: iters left: 6 (11 enodes) 1544611661.297 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.303 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.308 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611661.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611661.308 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611661.310 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.315 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.322 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.328 * * [misc]simplify: iters left: 3 (21 enodes) 1544611661.335 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544611661.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544611661.336 * * * * [misc]progress: [ 217 / 412 ] simplifiying candidate # 1544611661.336 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611661.337 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.344 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.350 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.359 * * [misc]simplify: iters left: 3 (28 enodes) 1544611661.366 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611661.367 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611661.368 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.373 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.380 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.390 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.390 * * * * [misc]progress: [ 218 / 412 ] simplifiying candidate # 1544611661.390 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) 1) 1544611661.392 * * [misc]simplify: iters left: 6 (11 enodes) 1544611661.400 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.404 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.409 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611661.409 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611661.410 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611661.411 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.416 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.421 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.427 * * [misc]simplify: iters left: 3 (21 enodes) 1544611661.433 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544611661.433 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544611661.433 * * * * [misc]progress: [ 219 / 412 ] simplifiying candidate # 1544611661.433 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.435 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.440 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.447 * * [misc]simplify: iters left: 4 (29 enodes) 1544611661.456 * * [misc]simplify: iters left: 3 (34 enodes) 1544611661.466 * * [misc]simplify: iters left: 2 (35 enodes) 1544611661.474 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611661.474 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611661.475 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.478 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.481 * * [misc]simplify: iters left: 4 (25 enodes) 1544611661.487 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611661.487 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611661.487 * * * * [misc]progress: [ 220 / 412 ] simplifiying candidate # 1544611661.487 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611661.488 * * [misc]simplify: iters left: 6 (15 enodes) 1544611661.491 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.495 * * [misc]simplify: iters left: 4 (26 enodes) 1544611661.501 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611661.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611661.501 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611661.502 * * [misc]simplify: iters left: 6 (15 enodes) 1544611661.505 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.508 * * [misc]simplify: iters left: 4 (26 enodes) 1544611661.514 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611661.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611661.514 * * * * [misc]progress: [ 221 / 412 ] simplifiying candidate # 1544611661.514 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611661.515 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.517 * * [misc]simplify: iters left: 5 (16 enodes) 1544611661.520 * * [misc]simplify: iters left: 4 (19 enodes) 1544611661.523 * * [misc]simplify: iters left: 3 (20 enodes) 1544611661.526 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.526 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611661.526 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611661.527 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.530 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.533 * * [misc]simplify: iters left: 4 (21 enodes) 1544611661.536 * * [misc]simplify: iters left: 3 (22 enodes) 1544611661.540 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.540 * [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))))) 1544611661.540 * * * * [misc]progress: [ 222 / 412 ] simplifiying candidate # 1544611661.540 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611661.541 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.544 * * [misc]simplify: iters left: 5 (20 enodes) 1544611661.547 * * [misc]simplify: iters left: 4 (26 enodes) 1544611661.552 * * [misc]simplify: iters left: 3 (30 enodes) 1544611661.555 * * [misc]simplify: iters left: 2 (31 enodes) 1544611661.558 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.558 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.559 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.559 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.562 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.565 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.571 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611661.571 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611661.571 * * * * [misc]progress: [ 223 / 412 ] simplifiying candidate # 1544611661.571 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611661.573 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.577 * * [misc]simplify: iters left: 5 (16 enodes) 1544611661.583 * * [misc]simplify: iters left: 4 (19 enodes) 1544611661.589 * * [misc]simplify: iters left: 3 (20 enodes) 1544611661.596 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.596 * [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 (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611661.597 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611661.598 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.603 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.609 * * [misc]simplify: iters left: 4 (21 enodes) 1544611661.616 * * [misc]simplify: iters left: 3 (22 enodes) 1544611661.624 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611661.624 * [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))))) 1544611661.624 * * * * [misc]progress: [ 224 / 412 ] simplifiying candidate # 1544611661.624 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1) 1544611661.625 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.630 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.637 * * [misc]simplify: iters left: 4 (25 enodes) 1544611661.647 * * [misc]simplify: iters left: 3 (29 enodes) 1544611661.654 * * [misc]simplify: iters left: 2 (30 enodes) 1544611661.662 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.662 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.663 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.666 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.669 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.674 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611661.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611661.675 * * * * [misc]progress: [ 225 / 412 ] simplifiying candidate # 1544611661.675 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.676 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.679 * * [misc]simplify: iters left: 5 (22 enodes) 1544611661.686 * * [misc]simplify: iters left: 4 (33 enodes) 1544611661.692 * * [misc]simplify: iters left: 3 (42 enodes) 1544611661.699 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611661.700 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611661.700 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.703 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.708 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.713 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.714 * * * * [misc]progress: [ 226 / 412 ] simplifiying candidate # 1544611661.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611661.715 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.718 * * [misc]simplify: iters left: 5 (21 enodes) 1544611661.722 * * [misc]simplify: iters left: 4 (28 enodes) 1544611661.727 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611661.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611661.727 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611661.728 * * [misc]simplify: iters left: 6 (14 enodes) 1544611661.731 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.734 * * [misc]simplify: iters left: 4 (25 enodes) 1544611661.741 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) 1544611661.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))))) 1544611661.741 * * * * [misc]progress: [ 227 / 412 ] simplifiying candidate # 1544611661.742 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) 1544611661.743 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.745 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.749 * * [misc]simplify: iters left: 4 (27 enodes) 1544611661.753 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611661.754 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611661.754 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.757 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.762 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.767 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.767 * * * * [misc]progress: [ 228 / 412 ] simplifiying candidate # 1544611661.768 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (sqrt 1)) 1544611661.768 * * [misc]simplify: iters left: 6 (11 enodes) 1544611661.772 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.774 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.776 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611661.776 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611661.777 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611661.777 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.780 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.783 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.786 * * [misc]simplify: iters left: 3 (21 enodes) 1544611661.790 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544611661.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544611661.790 * * * * [misc]progress: [ 229 / 412 ] simplifiying candidate # 1544611661.790 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (sqrt (sqrt (sqrt k)))) 1544611661.791 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.796 * * [misc]simplify: iters left: 5 (19 enodes) 1544611661.802 * * [misc]simplify: iters left: 4 (27 enodes) 1544611661.806 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611661.806 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611661.806 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611661.807 * * [misc]simplify: iters left: 6 (13 enodes) 1544611661.810 * * [misc]simplify: iters left: 5 (18 enodes) 1544611661.813 * * [misc]simplify: iters left: 4 (24 enodes) 1544611661.818 * [exit]simplify: Simplified to (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611661.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611661.818 * * * * [misc]progress: [ 230 / 412 ] simplifiying candidate # 1544611661.818 * [enter]simplify: Simplifying (/ (/ (pow PI (- 1/2 (/ k 2))) 1) 1) 1544611661.819 * * [misc]simplify: iters left: 6 (10 enodes) 1544611661.821 * * [misc]simplify: iters left: 5 (14 enodes) 1544611661.823 * * [misc]simplify: iters left: 4 (17 enodes) 1544611661.825 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611661.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611661.825 * [enter]simplify: Simplifying (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611661.826 * * [misc]simplify: iters left: 6 (12 enodes) 1544611661.829 * * [misc]simplify: iters left: 5 (17 enodes) 1544611661.832 * * [misc]simplify: iters left: 4 (20 enodes) 1544611661.835 * * [misc]simplify: iters left: 3 (21 enodes) 1544611661.843 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544611661.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544611661.843 * * * * [misc]progress: [ 231 / 412 ] simplifiying candidate # 1544611661.843 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.845 * * [misc]simplify: iters left: 6 (18 enodes) 1544611661.854 * * [misc]simplify: iters left: 5 (34 enodes) 1544611661.870 * * [misc]simplify: iters left: 4 (68 enodes) 1544611661.896 * * [misc]simplify: iters left: 3 (102 enodes) 1544611661.921 * * [misc]simplify: iters left: 2 (132 enodes) 1544611661.943 * * [misc]simplify: iters left: 1 (136 enodes) 1544611661.971 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))) 1544611661.972 * [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 (sqrt k)) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611661.972 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611661.973 * * [misc]simplify: iters left: 6 (16 enodes) 1544611661.976 * * [misc]simplify: iters left: 5 (24 enodes) 1544611661.981 * * [misc]simplify: iters left: 4 (33 enodes) 1544611661.987 * * [misc]simplify: iters left: 3 (34 enodes) 1544611661.993 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611661.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611661.994 * * * * [misc]progress: [ 232 / 412 ] simplifiying candidate # 1544611661.994 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611661.995 * * [misc]simplify: iters left: 6 (21 enodes) 1544611662.000 * * [misc]simplify: iters left: 5 (36 enodes) 1544611662.011 * * [misc]simplify: iters left: 4 (65 enodes) 1544611662.025 * * [misc]simplify: iters left: 3 (98 enodes) 1544611662.053 * * [misc]simplify: iters left: 2 (133 enodes) 1544611662.085 * * [misc]simplify: iters left: 1 (151 enodes) 1544611662.129 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611662.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611662.129 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611662.131 * * [misc]simplify: iters left: 6 (18 enodes) 1544611662.138 * * [misc]simplify: iters left: 5 (26 enodes) 1544611662.148 * * [misc]simplify: iters left: 4 (38 enodes) 1544611662.155 * * [misc]simplify: iters left: 3 (40 enodes) 1544611662.163 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611662.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611662.163 * * * * [misc]progress: [ 233 / 412 ] simplifiying candidate # 1544611662.164 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611662.166 * * [misc]simplify: iters left: 6 (19 enodes) 1544611662.178 * * [misc]simplify: iters left: 5 (33 enodes) 1544611662.187 * * [misc]simplify: iters left: 4 (62 enodes) 1544611662.204 * * [misc]simplify: iters left: 3 (94 enodes) 1544611662.242 * * [misc]simplify: iters left: 2 (128 enodes) 1544611662.269 * * [misc]simplify: iters left: 1 (145 enodes) 1544611662.322 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1544611662.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611662.323 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611662.325 * * [misc]simplify: iters left: 6 (17 enodes) 1544611662.332 * * [misc]simplify: iters left: 5 (25 enodes) 1544611662.343 * * [misc]simplify: iters left: 4 (37 enodes) 1544611662.355 * * [misc]simplify: iters left: 3 (38 enodes) 1544611662.365 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611662.365 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611662.365 * * * * [misc]progress: [ 234 / 412 ] simplifiying candidate # 1544611662.365 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544611662.368 * * [misc]simplify: iters left: 6 (20 enodes) 1544611662.374 * * [misc]simplify: iters left: 5 (36 enodes) 1544611662.383 * * [misc]simplify: iters left: 4 (62 enodes) 1544611662.398 * * [misc]simplify: iters left: 3 (97 enodes) 1544611662.438 * * [misc]simplify: iters left: 2 (278 enodes) 1544611662.608 * * [misc]simplify: iters left: 1 (363 enodes) 1544611662.647 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544611662.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611662.647 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611662.648 * * [misc]simplify: iters left: 6 (16 enodes) 1544611662.653 * * [misc]simplify: iters left: 5 (24 enodes) 1544611662.660 * * [misc]simplify: iters left: 4 (36 enodes) 1544611662.666 * * [misc]simplify: iters left: 3 (37 enodes) 1544611662.673 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611662.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611662.673 * * * * [misc]progress: [ 235 / 412 ] simplifiying candidate # 1544611662.673 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611662.675 * * [misc]simplify: iters left: 6 (19 enodes) 1544611662.680 * * [misc]simplify: iters left: 5 (33 enodes) 1544611662.696 * * [misc]simplify: iters left: 4 (62 enodes) 1544611662.722 * * [misc]simplify: iters left: 3 (94 enodes) 1544611662.759 * * [misc]simplify: iters left: 2 (128 enodes) 1544611662.808 * * [misc]simplify: iters left: 1 (145 enodes) 1544611662.860 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1544611662.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611662.860 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611662.862 * * [misc]simplify: iters left: 6 (17 enodes) 1544611662.865 * * [misc]simplify: iters left: 5 (25 enodes) 1544611662.875 * * [misc]simplify: iters left: 4 (37 enodes) 1544611662.887 * * [misc]simplify: iters left: 3 (38 enodes) 1544611662.901 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611662.902 * [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 (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611662.902 * * * * [misc]progress: [ 236 / 412 ] simplifiying candidate # 1544611662.902 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544611662.904 * * [misc]simplify: iters left: 6 (19 enodes) 1544611662.912 * * [misc]simplify: iters left: 5 (35 enodes) 1544611662.921 * * [misc]simplify: iters left: 4 (63 enodes) 1544611662.936 * * [misc]simplify: iters left: 3 (102 enodes) 1544611662.976 * * [misc]simplify: iters left: 2 (281 enodes) 1544611663.144 * * [misc]simplify: iters left: 1 (373 enodes) 1544611663.230 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544611663.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611663.231 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611663.232 * * [misc]simplify: iters left: 6 (16 enodes) 1544611663.240 * * [misc]simplify: iters left: 5 (24 enodes) 1544611663.250 * * [misc]simplify: iters left: 4 (36 enodes) 1544611663.262 * * [misc]simplify: iters left: 3 (37 enodes) 1544611663.275 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611663.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611663.276 * * * * [misc]progress: [ 237 / 412 ] simplifiying candidate # 1544611663.276 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611663.278 * * [misc]simplify: iters left: 6 (21 enodes) 1544611663.292 * * [misc]simplify: iters left: 5 (34 enodes) 1544611663.307 * * [misc]simplify: iters left: 4 (57 enodes) 1544611663.331 * * [misc]simplify: iters left: 3 (94 enodes) 1544611663.369 * * [misc]simplify: iters left: 2 (134 enodes) 1544611663.416 * * [misc]simplify: iters left: 1 (152 enodes) 1544611663.497 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1544611663.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611663.498 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611663.500 * * [misc]simplify: iters left: 6 (18 enodes) 1544611663.508 * * [misc]simplify: iters left: 5 (26 enodes) 1544611663.519 * * [misc]simplify: iters left: 4 (38 enodes) 1544611663.532 * * [misc]simplify: iters left: 3 (40 enodes) 1544611663.550 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611663.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611663.550 * * * * [misc]progress: [ 238 / 412 ] simplifiying candidate # 1544611663.551 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611663.553 * * [misc]simplify: iters left: 6 (18 enodes) 1544611663.558 * * [misc]simplify: iters left: 5 (29 enodes) 1544611663.565 * * [misc]simplify: iters left: 4 (43 enodes) 1544611663.573 * * [misc]simplify: iters left: 3 (56 enodes) 1544611663.582 * * [misc]simplify: iters left: 2 (67 enodes) 1544611663.600 * * [misc]simplify: iters left: 1 (70 enodes) 1544611663.619 * [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)))) 1544611663.619 * [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)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611663.619 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611663.620 * * [misc]simplify: iters left: 6 (16 enodes) 1544611663.624 * * [misc]simplify: iters left: 5 (24 enodes) 1544611663.628 * * [misc]simplify: iters left: 4 (33 enodes) 1544611663.635 * * [misc]simplify: iters left: 3 (35 enodes) 1544611663.642 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544611663.642 * [misc]simplify: Simplified (2 2) 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 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544611663.642 * * * * [misc]progress: [ 239 / 412 ] simplifiying candidate # 1544611663.643 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611663.645 * * [misc]simplify: iters left: 6 (20 enodes) 1544611663.653 * * [misc]simplify: iters left: 5 (31 enodes) 1544611663.666 * * [misc]simplify: iters left: 4 (49 enodes) 1544611663.676 * * [misc]simplify: iters left: 3 (63 enodes) 1544611663.686 * * [misc]simplify: iters left: 2 (71 enodes) 1544611663.696 * * [misc]simplify: iters left: 1 (74 enodes) 1544611663.724 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611663.724 * [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 (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611663.724 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611663.726 * * [misc]simplify: iters left: 6 (18 enodes) 1544611663.733 * * [misc]simplify: iters left: 5 (26 enodes) 1544611663.738 * * [misc]simplify: iters left: 4 (38 enodes) 1544611663.744 * * [misc]simplify: iters left: 3 (40 enodes) 1544611663.751 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611663.751 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611663.751 * * * * [misc]progress: [ 240 / 412 ] simplifiying candidate # 1544611663.751 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544611663.753 * * [misc]simplify: iters left: 6 (20 enodes) 1544611663.758 * * [misc]simplify: iters left: 5 (33 enodes) 1544611663.765 * * [misc]simplify: iters left: 4 (49 enodes) 1544611663.775 * * [misc]simplify: iters left: 3 (70 enodes) 1544611663.790 * * [misc]simplify: iters left: 2 (117 enodes) 1544611663.810 * * [misc]simplify: iters left: 1 (123 enodes) 1544611663.824 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611663.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611663.824 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611663.825 * * [misc]simplify: iters left: 6 (17 enodes) 1544611663.829 * * [misc]simplify: iters left: 5 (25 enodes) 1544611663.834 * * [misc]simplify: iters left: 4 (37 enodes) 1544611663.839 * * [misc]simplify: iters left: 3 (38 enodes) 1544611663.846 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611663.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611663.847 * * * * [misc]progress: [ 241 / 412 ] simplifiying candidate # 1544611663.847 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611663.848 * * [misc]simplify: iters left: 6 (20 enodes) 1544611663.853 * * [misc]simplify: iters left: 5 (31 enodes) 1544611663.859 * * [misc]simplify: iters left: 4 (49 enodes) 1544611663.870 * * [misc]simplify: iters left: 3 (63 enodes) 1544611663.880 * * [misc]simplify: iters left: 2 (71 enodes) 1544611663.896 * * [misc]simplify: iters left: 1 (74 enodes) 1544611663.929 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611663.929 * [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 (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611663.930 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611663.932 * * [misc]simplify: iters left: 6 (18 enodes) 1544611663.940 * * [misc]simplify: iters left: 5 (26 enodes) 1544611663.951 * * [misc]simplify: iters left: 4 (38 enodes) 1544611663.957 * * [misc]simplify: iters left: 3 (40 enodes) 1544611663.966 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611663.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611663.966 * * * * [misc]progress: [ 242 / 412 ] simplifiying candidate # 1544611663.967 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544611663.968 * * [misc]simplify: iters left: 6 (19 enodes) 1544611663.972 * * [misc]simplify: iters left: 5 (32 enodes) 1544611663.979 * * [misc]simplify: iters left: 4 (48 enodes) 1544611664.000 * * [misc]simplify: iters left: 3 (73 enodes) 1544611664.034 * * [misc]simplify: iters left: 2 (129 enodes) 1544611664.074 * * [misc]simplify: iters left: 1 (133 enodes) 1544611664.101 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k)))) 1544611664.102 * [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))))) (fabs (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611664.102 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611664.104 * * [misc]simplify: iters left: 6 (17 enodes) 1544611664.111 * * [misc]simplify: iters left: 5 (25 enodes) 1544611664.122 * * [misc]simplify: iters left: 4 (37 enodes) 1544611664.134 * * [misc]simplify: iters left: 3 (38 enodes) 1544611664.148 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611664.148 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611664.148 * * * * [misc]progress: [ 243 / 412 ] simplifiying candidate # 1544611664.148 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611664.150 * * [misc]simplify: iters left: 6 (19 enodes) 1544611664.159 * * [misc]simplify: iters left: 5 (31 enodes) 1544611664.173 * * [misc]simplify: iters left: 4 (54 enodes) 1544611664.196 * * [misc]simplify: iters left: 3 (90 enodes) 1544611664.236 * * [misc]simplify: iters left: 2 (130 enodes) 1544611664.283 * * [misc]simplify: iters left: 1 (150 enodes) 1544611664.361 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1544611664.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611664.362 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611664.364 * * [misc]simplify: iters left: 6 (17 enodes) 1544611664.371 * * [misc]simplify: iters left: 5 (25 enodes) 1544611664.381 * * [misc]simplify: iters left: 4 (37 enodes) 1544611664.393 * * [misc]simplify: iters left: 3 (38 enodes) 1544611664.405 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611664.405 * [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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611664.405 * * * * [misc]progress: [ 244 / 412 ] simplifiying candidate # 1544611664.405 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611664.407 * * [misc]simplify: iters left: 6 (20 enodes) 1544611664.411 * * [misc]simplify: iters left: 5 (31 enodes) 1544611664.419 * * [misc]simplify: iters left: 4 (49 enodes) 1544611664.428 * * [misc]simplify: iters left: 3 (63 enodes) 1544611664.445 * * [misc]simplify: iters left: 2 (71 enodes) 1544611664.466 * * [misc]simplify: iters left: 1 (74 enodes) 1544611664.494 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611664.494 * [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 (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611664.495 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611664.497 * * [misc]simplify: iters left: 6 (18 enodes) 1544611664.503 * * [misc]simplify: iters left: 5 (26 enodes) 1544611664.512 * * [misc]simplify: iters left: 4 (38 enodes) 1544611664.523 * * [misc]simplify: iters left: 3 (40 enodes) 1544611664.534 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611664.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611664.534 * * * * [misc]progress: [ 245 / 412 ] simplifiying candidate # 1544611664.534 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611664.535 * * [misc]simplify: iters left: 6 (17 enodes) 1544611664.539 * * [misc]simplify: iters left: 5 (27 enodes) 1544611664.545 * * [misc]simplify: iters left: 4 (41 enodes) 1544611664.556 * * [misc]simplify: iters left: 3 (50 enodes) 1544611664.564 * * [misc]simplify: iters left: 2 (53 enodes) 1544611664.578 * * [misc]simplify: iters left: 1 (54 enodes) 1544611664.594 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611664.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611664.594 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611664.595 * * [misc]simplify: iters left: 6 (16 enodes) 1544611664.598 * * [misc]simplify: iters left: 5 (24 enodes) 1544611664.603 * * [misc]simplify: iters left: 4 (33 enodes) 1544611664.608 * * [misc]simplify: iters left: 3 (35 enodes) 1544611664.613 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611664.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611664.613 * * * * [misc]progress: [ 246 / 412 ] simplifiying candidate # 1544611664.614 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611664.615 * * [misc]simplify: iters left: 6 (19 enodes) 1544611664.619 * * [misc]simplify: iters left: 5 (31 enodes) 1544611664.626 * * [misc]simplify: iters left: 4 (48 enodes) 1544611664.638 * * [misc]simplify: iters left: 3 (74 enodes) 1544611664.672 * * [misc]simplify: iters left: 2 (150 enodes) 1544611664.701 * * [misc]simplify: iters left: 1 (154 enodes) 1544611664.713 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544611664.714 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611664.714 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611664.715 * * [misc]simplify: iters left: 6 (16 enodes) 1544611664.720 * * [misc]simplify: iters left: 5 (24 enodes) 1544611664.725 * * [misc]simplify: iters left: 4 (36 enodes) 1544611664.732 * * [misc]simplify: iters left: 3 (37 enodes) 1544611664.744 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611664.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611664.744 * * * * [misc]progress: [ 247 / 412 ] simplifiying candidate # 1544611664.745 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611664.746 * * [misc]simplify: iters left: 6 (17 enodes) 1544611664.753 * * [misc]simplify: iters left: 5 (27 enodes) 1544611664.764 * * [misc]simplify: iters left: 4 (41 enodes) 1544611664.777 * * [misc]simplify: iters left: 3 (50 enodes) 1544611664.784 * * [misc]simplify: iters left: 2 (53 enodes) 1544611664.791 * * [misc]simplify: iters left: 1 (54 enodes) 1544611664.802 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611664.802 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611664.802 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611664.803 * * [misc]simplify: iters left: 6 (16 enodes) 1544611664.808 * * [misc]simplify: iters left: 5 (24 enodes) 1544611664.812 * * [misc]simplify: iters left: 4 (33 enodes) 1544611664.818 * * [misc]simplify: iters left: 3 (35 enodes) 1544611664.823 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611664.823 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611664.824 * * * * [misc]progress: [ 248 / 412 ] simplifiying candidate # 1544611664.824 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1) 1544611664.825 * * [misc]simplify: iters left: 6 (18 enodes) 1544611664.829 * * [misc]simplify: iters left: 5 (30 enodes) 1544611664.835 * * [misc]simplify: iters left: 4 (47 enodes) 1544611664.846 * * [misc]simplify: iters left: 3 (73 enodes) 1544611664.875 * * [misc]simplify: iters left: 2 (153 enodes) 1544611664.917 * * [misc]simplify: iters left: 1 (158 enodes) 1544611664.940 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1544611664.940 * [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 (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611664.941 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611664.943 * * [misc]simplify: iters left: 6 (16 enodes) 1544611664.949 * * [misc]simplify: iters left: 5 (24 enodes) 1544611664.958 * * [misc]simplify: iters left: 4 (36 enodes) 1544611664.968 * * [misc]simplify: iters left: 3 (37 enodes) 1544611664.976 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611664.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611664.976 * * * * [misc]progress: [ 249 / 412 ] simplifiying candidate # 1544611664.976 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611664.978 * * [misc]simplify: iters left: 6 (20 enodes) 1544611664.983 * * [misc]simplify: iters left: 5 (34 enodes) 1544611664.992 * * [misc]simplify: iters left: 4 (57 enodes) 1544611665.007 * * [misc]simplify: iters left: 3 (112 enodes) 1544611665.056 * * [misc]simplify: iters left: 2 (231 enodes) 1544611665.165 * * [misc]simplify: iters left: 1 (471 enodes) 1544611665.298 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544611665.298 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611665.299 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611665.300 * * [misc]simplify: iters left: 6 (16 enodes) 1544611665.303 * * [misc]simplify: iters left: 5 (24 enodes) 1544611665.309 * * [misc]simplify: iters left: 4 (36 enodes) 1544611665.320 * * [misc]simplify: iters left: 3 (37 enodes) 1544611665.335 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544611665.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544611665.335 * * * * [misc]progress: [ 250 / 412 ] simplifiying candidate # 1544611665.335 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611665.337 * * [misc]simplify: iters left: 6 (20 enodes) 1544611665.346 * * [misc]simplify: iters left: 5 (33 enodes) 1544611665.358 * * [misc]simplify: iters left: 4 (48 enodes) 1544611665.374 * * [misc]simplify: iters left: 3 (59 enodes) 1544611665.395 * * [misc]simplify: iters left: 2 (85 enodes) 1544611665.417 * * [misc]simplify: iters left: 1 (98 enodes) 1544611665.431 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1544611665.431 * [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)))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611665.431 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611665.433 * * [misc]simplify: iters left: 6 (17 enodes) 1544611665.436 * * [misc]simplify: iters left: 5 (25 enodes) 1544611665.442 * * [misc]simplify: iters left: 4 (37 enodes) 1544611665.448 * * [misc]simplify: iters left: 3 (38 enodes) 1544611665.455 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611665.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611665.455 * * * * [misc]progress: [ 251 / 412 ] simplifiying candidate # 1544611665.455 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611665.456 * * [misc]simplify: iters left: 6 (19 enodes) 1544611665.462 * * [misc]simplify: iters left: 5 (31 enodes) 1544611665.474 * * [misc]simplify: iters left: 4 (48 enodes) 1544611665.491 * * [misc]simplify: iters left: 3 (68 enodes) 1544611665.512 * * [misc]simplify: iters left: 2 (115 enodes) 1544611665.536 * * [misc]simplify: iters left: 1 (128 enodes) 1544611665.555 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611665.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611665.555 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611665.556 * * [misc]simplify: iters left: 6 (16 enodes) 1544611665.559 * * [misc]simplify: iters left: 5 (24 enodes) 1544611665.565 * * [misc]simplify: iters left: 4 (36 enodes) 1544611665.571 * * [misc]simplify: iters left: 3 (37 enodes) 1544611665.578 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611665.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611665.578 * * * * [misc]progress: [ 252 / 412 ] simplifiying candidate # 1544611665.578 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt 1)) 1544611665.579 * * [misc]simplify: iters left: 6 (16 enodes) 1544611665.584 * * [misc]simplify: iters left: 5 (28 enodes) 1544611665.589 * * [misc]simplify: iters left: 4 (42 enodes) 1544611665.599 * * [misc]simplify: iters left: 3 (45 enodes) 1544611665.605 * * [misc]simplify: iters left: 2 (56 enodes) 1544611665.614 * * [misc]simplify: iters left: 1 (58 enodes) 1544611665.621 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611665.621 * [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))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611665.621 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611665.622 * * [misc]simplify: iters left: 6 (15 enodes) 1544611665.625 * * [misc]simplify: iters left: 5 (23 enodes) 1544611665.634 * * [misc]simplify: iters left: 4 (32 enodes) 1544611665.645 * * [misc]simplify: iters left: 3 (35 enodes) 1544611665.658 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611665.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1544611665.658 * * * * [misc]progress: [ 253 / 412 ] simplifiying candidate # 1544611665.658 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611665.660 * * [misc]simplify: iters left: 6 (19 enodes) 1544611665.670 * * [misc]simplify: iters left: 5 (31 enodes) 1544611665.683 * * [misc]simplify: iters left: 4 (48 enodes) 1544611665.701 * * [misc]simplify: iters left: 3 (68 enodes) 1544611665.715 * * [misc]simplify: iters left: 2 (115 enodes) 1544611665.737 * * [misc]simplify: iters left: 1 (128 enodes) 1544611665.753 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611665.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611665.754 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611665.755 * * [misc]simplify: iters left: 6 (16 enodes) 1544611665.758 * * [misc]simplify: iters left: 5 (24 enodes) 1544611665.763 * * [misc]simplify: iters left: 4 (36 enodes) 1544611665.769 * * [misc]simplify: iters left: 3 (37 enodes) 1544611665.780 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611665.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611665.781 * * * * [misc]progress: [ 254 / 412 ] simplifiying candidate # 1544611665.781 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) 1) 1544611665.783 * * [misc]simplify: iters left: 6 (16 enodes) 1544611665.793 * * [misc]simplify: iters left: 5 (28 enodes) 1544611665.804 * * [misc]simplify: iters left: 4 (42 enodes) 1544611665.816 * * [misc]simplify: iters left: 3 (45 enodes) 1544611665.828 * * [misc]simplify: iters left: 2 (56 enodes) 1544611665.835 * * [misc]simplify: iters left: 1 (58 enodes) 1544611665.842 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611665.842 * [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))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611665.842 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611665.843 * * [misc]simplify: iters left: 6 (15 enodes) 1544611665.847 * * [misc]simplify: iters left: 5 (23 enodes) 1544611665.852 * * [misc]simplify: iters left: 4 (32 enodes) 1544611665.857 * * [misc]simplify: iters left: 3 (35 enodes) 1544611665.863 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611665.863 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1544611665.863 * * * * [misc]progress: [ 255 / 412 ] simplifiying candidate # 1544611665.863 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611665.865 * * [misc]simplify: iters left: 6 (19 enodes) 1544611665.873 * * [misc]simplify: iters left: 5 (31 enodes) 1544611665.888 * * [misc]simplify: iters left: 4 (54 enodes) 1544611665.913 * * [misc]simplify: iters left: 3 (90 enodes) 1544611665.954 * * [misc]simplify: iters left: 2 (130 enodes) 1544611666.004 * * [misc]simplify: iters left: 1 (150 enodes) 1544611666.050 * [exit]simplify: Simplified to (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1544611666.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611666.050 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611666.051 * * [misc]simplify: iters left: 6 (17 enodes) 1544611666.055 * * [misc]simplify: iters left: 5 (25 enodes) 1544611666.060 * * [misc]simplify: iters left: 4 (37 enodes) 1544611666.066 * * [misc]simplify: iters left: 3 (38 enodes) 1544611666.073 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611666.073 * [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 (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611666.073 * * * * [misc]progress: [ 256 / 412 ] simplifiying candidate # 1544611666.073 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611666.074 * * [misc]simplify: iters left: 6 (20 enodes) 1544611666.079 * * [misc]simplify: iters left: 5 (31 enodes) 1544611666.085 * * [misc]simplify: iters left: 4 (49 enodes) 1544611666.101 * * [misc]simplify: iters left: 3 (63 enodes) 1544611666.124 * * [misc]simplify: iters left: 2 (71 enodes) 1544611666.143 * * [misc]simplify: iters left: 1 (74 enodes) 1544611666.169 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611666.169 * [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 (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611666.169 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611666.171 * * [misc]simplify: iters left: 6 (18 enodes) 1544611666.175 * * [misc]simplify: iters left: 5 (26 enodes) 1544611666.181 * * [misc]simplify: iters left: 4 (38 enodes) 1544611666.187 * * [misc]simplify: iters left: 3 (40 enodes) 1544611666.195 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611666.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611666.196 * * * * [misc]progress: [ 257 / 412 ] simplifiying candidate # 1544611666.196 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611666.197 * * [misc]simplify: iters left: 6 (17 enodes) 1544611666.201 * * [misc]simplify: iters left: 5 (27 enodes) 1544611666.208 * * [misc]simplify: iters left: 4 (41 enodes) 1544611666.215 * * [misc]simplify: iters left: 3 (50 enodes) 1544611666.223 * * [misc]simplify: iters left: 2 (53 enodes) 1544611666.230 * * [misc]simplify: iters left: 1 (54 enodes) 1544611666.241 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611666.241 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611666.241 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611666.242 * * [misc]simplify: iters left: 6 (16 enodes) 1544611666.248 * * [misc]simplify: iters left: 5 (24 enodes) 1544611666.258 * * [misc]simplify: iters left: 4 (33 enodes) 1544611666.269 * * [misc]simplify: iters left: 3 (35 enodes) 1544611666.281 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611666.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611666.282 * * * * [misc]progress: [ 258 / 412 ] simplifiying candidate # 1544611666.282 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611666.284 * * [misc]simplify: iters left: 6 (19 enodes) 1544611666.294 * * [misc]simplify: iters left: 5 (31 enodes) 1544611666.302 * * [misc]simplify: iters left: 4 (48 enodes) 1544611666.313 * * [misc]simplify: iters left: 3 (74 enodes) 1544611666.335 * * [misc]simplify: iters left: 2 (150 enodes) 1544611666.365 * * [misc]simplify: iters left: 1 (154 enodes) 1544611666.378 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544611666.378 * [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 (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611666.378 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611666.379 * * [misc]simplify: iters left: 6 (16 enodes) 1544611666.383 * * [misc]simplify: iters left: 5 (24 enodes) 1544611666.392 * * [misc]simplify: iters left: 4 (36 enodes) 1544611666.398 * * [misc]simplify: iters left: 3 (37 enodes) 1544611666.404 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611666.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611666.405 * * * * [misc]progress: [ 259 / 412 ] simplifiying candidate # 1544611666.405 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611666.406 * * [misc]simplify: iters left: 6 (17 enodes) 1544611666.410 * * [misc]simplify: iters left: 5 (27 enodes) 1544611666.419 * * [misc]simplify: iters left: 4 (41 enodes) 1544611666.427 * * [misc]simplify: iters left: 3 (50 enodes) 1544611666.434 * * [misc]simplify: iters left: 2 (53 enodes) 1544611666.441 * * [misc]simplify: iters left: 1 (54 enodes) 1544611666.457 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611666.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611666.458 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611666.459 * * [misc]simplify: iters left: 6 (16 enodes) 1544611666.467 * * [misc]simplify: iters left: 5 (24 enodes) 1544611666.477 * * [misc]simplify: iters left: 4 (33 enodes) 1544611666.489 * * [misc]simplify: iters left: 3 (35 enodes) 1544611666.501 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611666.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611666.501 * * * * [misc]progress: [ 260 / 412 ] simplifiying candidate # 1544611666.501 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1) 1544611666.503 * * [misc]simplify: iters left: 6 (18 enodes) 1544611666.511 * * [misc]simplify: iters left: 5 (30 enodes) 1544611666.524 * * [misc]simplify: iters left: 4 (47 enodes) 1544611666.544 * * [misc]simplify: iters left: 3 (73 enodes) 1544611666.566 * * [misc]simplify: iters left: 2 (153 enodes) 1544611666.614 * * [misc]simplify: iters left: 1 (158 enodes) 1544611666.635 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1544611666.635 * [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 (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611666.635 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611666.637 * * [misc]simplify: iters left: 6 (16 enodes) 1544611666.643 * * [misc]simplify: iters left: 5 (24 enodes) 1544611666.650 * * [misc]simplify: iters left: 4 (36 enodes) 1544611666.656 * * [misc]simplify: iters left: 3 (37 enodes) 1544611666.663 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611666.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611666.663 * * * * [misc]progress: [ 261 / 412 ] simplifiying candidate # 1544611666.663 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611666.664 * * [misc]simplify: iters left: 6 (19 enodes) 1544611666.670 * * [misc]simplify: iters left: 5 (33 enodes) 1544611666.679 * * [misc]simplify: iters left: 4 (64 enodes) 1544611666.697 * * [misc]simplify: iters left: 3 (130 enodes) 1544611666.766 * * [misc]simplify: iters left: 2 (351 enodes) 1544611666.966 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544611666.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611666.966 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611666.967 * * [misc]simplify: iters left: 6 (16 enodes) 1544611666.970 * * [misc]simplify: iters left: 5 (24 enodes) 1544611666.976 * * [misc]simplify: iters left: 4 (36 enodes) 1544611666.981 * * [misc]simplify: iters left: 3 (37 enodes) 1544611666.988 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544611666.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544611666.988 * * * * [misc]progress: [ 262 / 412 ] simplifiying candidate # 1544611666.988 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611666.989 * * [misc]simplify: iters left: 6 (19 enodes) 1544611666.993 * * [misc]simplify: iters left: 5 (32 enodes) 1544611667.001 * * [misc]simplify: iters left: 4 (53 enodes) 1544611667.014 * * [misc]simplify: iters left: 3 (71 enodes) 1544611667.029 * * [misc]simplify: iters left: 2 (96 enodes) 1544611667.043 * * [misc]simplify: iters left: 1 (99 enodes) 1544611667.055 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1544611667.055 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611667.055 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611667.056 * * [misc]simplify: iters left: 6 (17 enodes) 1544611667.060 * * [misc]simplify: iters left: 5 (25 enodes) 1544611667.065 * * [misc]simplify: iters left: 4 (37 enodes) 1544611667.071 * * [misc]simplify: iters left: 3 (38 enodes) 1544611667.080 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611667.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611667.080 * * * * [misc]progress: [ 263 / 412 ] simplifiying candidate # 1544611667.080 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (sqrt (sqrt (sqrt k)))) 1544611667.082 * * [misc]simplify: iters left: 6 (18 enodes) 1544611667.089 * * [misc]simplify: iters left: 5 (30 enodes) 1544611667.103 * * [misc]simplify: iters left: 4 (52 enodes) 1544611667.124 * * [misc]simplify: iters left: 3 (96 enodes) 1544611667.150 * * [misc]simplify: iters left: 2 (188 enodes) 1544611667.194 * * [misc]simplify: iters left: 1 (282 enodes) 1544611667.286 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611667.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611667.287 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611667.288 * * [misc]simplify: iters left: 6 (16 enodes) 1544611667.296 * * [misc]simplify: iters left: 5 (24 enodes) 1544611667.307 * * [misc]simplify: iters left: 4 (36 enodes) 1544611667.319 * * [misc]simplify: iters left: 3 (37 enodes) 1544611667.331 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611667.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611667.331 * * * * [misc]progress: [ 264 / 412 ] simplifiying candidate # 1544611667.331 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (sqrt 1)) 1544611667.333 * * [misc]simplify: iters left: 6 (16 enodes) 1544611667.341 * * [misc]simplify: iters left: 5 (28 enodes) 1544611667.350 * * [misc]simplify: iters left: 4 (41 enodes) 1544611667.361 * * [misc]simplify: iters left: 3 (44 enodes) 1544611667.373 * * [misc]simplify: iters left: 2 (49 enodes) 1544611667.386 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611667.386 * [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))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611667.387 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611667.388 * * [misc]simplify: iters left: 6 (15 enodes) 1544611667.394 * * [misc]simplify: iters left: 5 (23 enodes) 1544611667.403 * * [misc]simplify: iters left: 4 (32 enodes) 1544611667.415 * * [misc]simplify: iters left: 3 (35 enodes) 1544611667.427 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611667.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1544611667.428 * * * * [misc]progress: [ 265 / 412 ] simplifiying candidate # 1544611667.428 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (sqrt (sqrt (sqrt k)))) 1544611667.429 * * [misc]simplify: iters left: 6 (18 enodes) 1544611667.438 * * [misc]simplify: iters left: 5 (30 enodes) 1544611667.452 * * [misc]simplify: iters left: 4 (52 enodes) 1544611667.466 * * [misc]simplify: iters left: 3 (96 enodes) 1544611667.500 * * [misc]simplify: iters left: 2 (188 enodes) 1544611667.552 * * [misc]simplify: iters left: 1 (282 enodes) 1544611667.643 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611667.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611667.643 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611667.644 * * [misc]simplify: iters left: 6 (16 enodes) 1544611667.648 * * [misc]simplify: iters left: 5 (24 enodes) 1544611667.653 * * [misc]simplify: iters left: 4 (36 enodes) 1544611667.658 * * [misc]simplify: iters left: 3 (37 enodes) 1544611667.666 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611667.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611667.666 * * * * [misc]progress: [ 266 / 412 ] simplifiying candidate # 1544611667.666 * [enter]simplify: Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1) 1544611667.667 * * [misc]simplify: iters left: 6 (15 enodes) 1544611667.670 * * [misc]simplify: iters left: 5 (25 enodes) 1544611667.675 * * [misc]simplify: iters left: 4 (36 enodes) 1544611667.687 * * [misc]simplify: iters left: 3 (49 enodes) 1544611667.696 * * [misc]simplify: iters left: 2 (78 enodes) 1544611667.712 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611667.712 * [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))))) (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611667.712 * [enter]simplify: Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611667.713 * * [misc]simplify: iters left: 6 (15 enodes) 1544611667.717 * * [misc]simplify: iters left: 5 (23 enodes) 1544611667.722 * * [misc]simplify: iters left: 4 (32 enodes) 1544611667.732 * * [misc]simplify: iters left: 3 (35 enodes) 1544611667.740 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611667.740 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1544611667.740 * * * * [misc]progress: [ 267 / 412 ] simplifiying candidate # 1544611667.740 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611667.741 * * [misc]simplify: iters left: 6 (17 enodes) 1544611667.745 * * [misc]simplify: iters left: 5 (29 enodes) 1544611667.751 * * [misc]simplify: iters left: 4 (44 enodes) 1544611667.758 * * [misc]simplify: iters left: 3 (47 enodes) 1544611667.765 * * [misc]simplify: iters left: 2 (51 enodes) 1544611667.773 * * [misc]simplify: iters left: 1 (53 enodes) 1544611667.781 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611667.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611667.781 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611667.784 * * [misc]simplify: iters left: 6 (16 enodes) 1544611667.787 * * [misc]simplify: iters left: 5 (24 enodes) 1544611667.792 * * [misc]simplify: iters left: 4 (33 enodes) 1544611667.797 * * [misc]simplify: iters left: 3 (34 enodes) 1544611667.803 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611667.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611667.803 * * * * [misc]progress: [ 268 / 412 ] simplifiying candidate # 1544611667.803 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611667.805 * * [misc]simplify: iters left: 6 (20 enodes) 1544611667.809 * * [misc]simplify: iters left: 5 (31 enodes) 1544611667.815 * * [misc]simplify: iters left: 4 (45 enodes) 1544611667.823 * * [misc]simplify: iters left: 3 (49 enodes) 1544611667.830 * * [misc]simplify: iters left: 2 (55 enodes) 1544611667.841 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1544611667.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611667.842 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611667.843 * * [misc]simplify: iters left: 6 (18 enodes) 1544611667.846 * * [misc]simplify: iters left: 5 (26 enodes) 1544611667.854 * * [misc]simplify: iters left: 4 (38 enodes) 1544611667.860 * * [misc]simplify: iters left: 3 (40 enodes) 1544611667.871 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611667.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611667.871 * * * * [misc]progress: [ 269 / 412 ] simplifiying candidate # 1544611667.872 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611667.874 * * [misc]simplify: iters left: 6 (18 enodes) 1544611667.880 * * [misc]simplify: iters left: 5 (28 enodes) 1544611667.892 * * [misc]simplify: iters left: 4 (42 enodes) 1544611667.905 * * [misc]simplify: iters left: 3 (46 enodes) 1544611667.919 * * [misc]simplify: iters left: 2 (52 enodes) 1544611667.940 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611667.940 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611667.940 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611667.942 * * [misc]simplify: iters left: 6 (17 enodes) 1544611667.949 * * [misc]simplify: iters left: 5 (25 enodes) 1544611667.958 * * [misc]simplify: iters left: 4 (37 enodes) 1544611667.971 * * [misc]simplify: iters left: 3 (38 enodes) 1544611667.978 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611667.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611667.978 * * * * [misc]progress: [ 270 / 412 ] simplifiying candidate # 1544611667.978 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544611667.979 * * [misc]simplify: iters left: 6 (19 enodes) 1544611667.984 * * [misc]simplify: iters left: 5 (31 enodes) 1544611667.991 * * [misc]simplify: iters left: 4 (45 enodes) 1544611667.998 * * [misc]simplify: iters left: 3 (49 enodes) 1544611668.011 * * [misc]simplify: iters left: 2 (54 enodes) 1544611668.027 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611668.027 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611668.028 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.032 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.038 * * [misc]simplify: iters left: 4 (36 enodes) 1544611668.043 * * [misc]simplify: iters left: 3 (37 enodes) 1544611668.050 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611668.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611668.050 * * * * [misc]progress: [ 271 / 412 ] simplifiying candidate # 1544611668.050 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611668.053 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.059 * * [misc]simplify: iters left: 5 (28 enodes) 1544611668.071 * * [misc]simplify: iters left: 4 (42 enodes) 1544611668.084 * * [misc]simplify: iters left: 3 (46 enodes) 1544611668.097 * * [misc]simplify: iters left: 2 (52 enodes) 1544611668.119 * [exit]simplify: Simplified to (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611668.119 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611668.121 * * [misc]simplify: iters left: 6 (17 enodes) 1544611668.128 * * [misc]simplify: iters left: 5 (25 enodes) 1544611668.133 * * [misc]simplify: iters left: 4 (37 enodes) 1544611668.139 * * [misc]simplify: iters left: 3 (38 enodes) 1544611668.145 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611668.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611668.145 * * * * [misc]progress: [ 272 / 412 ] simplifiying candidate # 1544611668.146 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544611668.147 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.151 * * [misc]simplify: iters left: 5 (30 enodes) 1544611668.158 * * [misc]simplify: iters left: 4 (44 enodes) 1544611668.165 * * [misc]simplify: iters left: 3 (51 enodes) 1544611668.172 * * [misc]simplify: iters left: 2 (56 enodes) 1544611668.179 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611668.180 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611668.181 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.184 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.189 * * [misc]simplify: iters left: 4 (36 enodes) 1544611668.195 * * [misc]simplify: iters left: 3 (37 enodes) 1544611668.201 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611668.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611668.201 * * * * [misc]progress: [ 273 / 412 ] simplifiying candidate # 1544611668.201 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.203 * * [misc]simplify: iters left: 6 (20 enodes) 1544611668.211 * * [misc]simplify: iters left: 5 (31 enodes) 1544611668.223 * * [misc]simplify: iters left: 4 (46 enodes) 1544611668.241 * * [misc]simplify: iters left: 3 (52 enodes) 1544611668.254 * * [misc]simplify: iters left: 2 (53 enodes) 1544611668.265 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611668.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611668.265 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611668.266 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.269 * * [misc]simplify: iters left: 5 (26 enodes) 1544611668.275 * * [misc]simplify: iters left: 4 (38 enodes) 1544611668.280 * * [misc]simplify: iters left: 3 (40 enodes) 1544611668.288 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611668.288 * * * * [misc]progress: [ 274 / 412 ] simplifiying candidate # 1544611668.288 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611668.289 * * [misc]simplify: iters left: 6 (17 enodes) 1544611668.292 * * [misc]simplify: iters left: 5 (26 enodes) 1544611668.297 * * [misc]simplify: iters left: 4 (35 enodes) 1544611668.303 * * [misc]simplify: iters left: 3 (37 enodes) 1544611668.311 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611668.311 * [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)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611668.311 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611668.312 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.315 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.320 * * [misc]simplify: iters left: 4 (33 enodes) 1544611668.325 * * [misc]simplify: iters left: 3 (35 enodes) 1544611668.331 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544611668.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544611668.331 * * * * [misc]progress: [ 275 / 412 ] simplifiying candidate # 1544611668.331 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611668.332 * * [misc]simplify: iters left: 6 (19 enodes) 1544611668.336 * * [misc]simplify: iters left: 5 (28 enodes) 1544611668.341 * * [misc]simplify: iters left: 4 (40 enodes) 1544611668.352 * * [misc]simplify: iters left: 3 (41 enodes) 1544611668.367 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611668.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611668.368 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611668.369 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.377 * * [misc]simplify: iters left: 5 (26 enodes) 1544611668.383 * * [misc]simplify: iters left: 4 (38 enodes) 1544611668.389 * * [misc]simplify: iters left: 3 (40 enodes) 1544611668.397 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611668.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611668.398 * * * * [misc]progress: [ 276 / 412 ] simplifiying candidate # 1544611668.398 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544611668.399 * * [misc]simplify: iters left: 6 (19 enodes) 1544611668.404 * * [misc]simplify: iters left: 5 (30 enodes) 1544611668.409 * * [misc]simplify: iters left: 4 (42 enodes) 1544611668.416 * * [misc]simplify: iters left: 3 (47 enodes) 1544611668.422 * * [misc]simplify: iters left: 2 (48 enodes) 1544611668.430 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544611668.430 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611668.430 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611668.432 * * [misc]simplify: iters left: 6 (17 enodes) 1544611668.439 * * [misc]simplify: iters left: 5 (25 enodes) 1544611668.449 * * [misc]simplify: iters left: 4 (37 enodes) 1544611668.460 * * [misc]simplify: iters left: 3 (38 enodes) 1544611668.469 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611668.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611668.469 * * * * [misc]progress: [ 277 / 412 ] simplifiying candidate # 1544611668.469 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611668.471 * * [misc]simplify: iters left: 6 (19 enodes) 1544611668.475 * * [misc]simplify: iters left: 5 (28 enodes) 1544611668.482 * * [misc]simplify: iters left: 4 (40 enodes) 1544611668.489 * * [misc]simplify: iters left: 3 (41 enodes) 1544611668.496 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611668.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611668.496 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611668.497 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.504 * * [misc]simplify: iters left: 5 (26 enodes) 1544611668.515 * * [misc]simplify: iters left: 4 (38 enodes) 1544611668.521 * * [misc]simplify: iters left: 3 (40 enodes) 1544611668.528 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611668.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611668.528 * * * * [misc]progress: [ 278 / 412 ] simplifiying candidate # 1544611668.528 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544611668.529 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.533 * * [misc]simplify: iters left: 5 (29 enodes) 1544611668.539 * * [misc]simplify: iters left: 4 (41 enodes) 1544611668.546 * * [misc]simplify: iters left: 3 (47 enodes) 1544611668.558 * * [misc]simplify: iters left: 2 (48 enodes) 1544611668.573 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544611668.573 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611668.573 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611668.575 * * [misc]simplify: iters left: 6 (17 enodes) 1544611668.582 * * [misc]simplify: iters left: 5 (25 enodes) 1544611668.593 * * [misc]simplify: iters left: 4 (37 enodes) 1544611668.605 * * [misc]simplify: iters left: 3 (38 enodes) 1544611668.618 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611668.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611668.619 * * * * [misc]progress: [ 279 / 412 ] simplifiying candidate # 1544611668.619 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.621 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.629 * * [misc]simplify: iters left: 5 (28 enodes) 1544611668.641 * * [misc]simplify: iters left: 4 (43 enodes) 1544611668.655 * * [misc]simplify: iters left: 3 (49 enodes) 1544611668.669 * * [misc]simplify: iters left: 2 (50 enodes) 1544611668.686 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611668.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611668.686 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611668.687 * * [misc]simplify: iters left: 6 (17 enodes) 1544611668.691 * * [misc]simplify: iters left: 5 (25 enodes) 1544611668.697 * * [misc]simplify: iters left: 4 (37 enodes) 1544611668.702 * * [misc]simplify: iters left: 3 (38 enodes) 1544611668.709 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611668.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611668.710 * * * * [misc]progress: [ 280 / 412 ] simplifiying candidate # 1544611668.710 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611668.711 * * [misc]simplify: iters left: 6 (19 enodes) 1544611668.719 * * [misc]simplify: iters left: 5 (28 enodes) 1544611668.730 * * [misc]simplify: iters left: 4 (40 enodes) 1544611668.743 * * [misc]simplify: iters left: 3 (41 enodes) 1544611668.757 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611668.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611668.757 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611668.759 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.766 * * [misc]simplify: iters left: 5 (26 enodes) 1544611668.776 * * [misc]simplify: iters left: 4 (38 enodes) 1544611668.788 * * [misc]simplify: iters left: 3 (40 enodes) 1544611668.802 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611668.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611668.802 * * * * [misc]progress: [ 281 / 412 ] simplifiying candidate # 1544611668.803 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611668.804 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.807 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.813 * * [misc]simplify: iters left: 4 (33 enodes) 1544611668.818 * * [misc]simplify: iters left: 3 (35 enodes) 1544611668.825 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611668.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611668.825 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611668.827 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.834 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.844 * * [misc]simplify: iters left: 4 (33 enodes) 1544611668.854 * * [misc]simplify: iters left: 3 (35 enodes) 1544611668.866 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611668.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611668.866 * * * * [misc]progress: [ 282 / 412 ] simplifiying candidate # 1544611668.866 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611668.868 * * [misc]simplify: iters left: 6 (18 enodes) 1544611668.876 * * [misc]simplify: iters left: 5 (28 enodes) 1544611668.886 * * [misc]simplify: iters left: 4 (40 enodes) 1544611668.898 * * [misc]simplify: iters left: 3 (45 enodes) 1544611668.908 * * [misc]simplify: iters left: 2 (46 enodes) 1544611668.921 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611668.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611668.922 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611668.923 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.930 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.939 * * [misc]simplify: iters left: 4 (36 enodes) 1544611668.949 * * [misc]simplify: iters left: 3 (37 enodes) 1544611668.961 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611668.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611668.961 * * * * [misc]progress: [ 283 / 412 ] simplifiying candidate # 1544611668.962 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611668.963 * * [misc]simplify: iters left: 6 (16 enodes) 1544611668.970 * * [misc]simplify: iters left: 5 (24 enodes) 1544611668.979 * * [misc]simplify: iters left: 4 (33 enodes) 1544611668.988 * * [misc]simplify: iters left: 3 (35 enodes) 1544611668.999 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611668.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611668.999 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611669.001 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.007 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.016 * * [misc]simplify: iters left: 4 (33 enodes) 1544611669.021 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.029 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611669.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611669.029 * * * * [misc]progress: [ 284 / 412 ] simplifiying candidate # 1544611669.029 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) 1544611669.030 * * [misc]simplify: iters left: 6 (17 enodes) 1544611669.034 * * [misc]simplify: iters left: 5 (27 enodes) 1544611669.043 * * [misc]simplify: iters left: 4 (39 enodes) 1544611669.056 * * [misc]simplify: iters left: 3 (44 enodes) 1544611669.067 * * [misc]simplify: iters left: 2 (45 enodes) 1544611669.078 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611669.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611669.078 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611669.079 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.083 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.088 * * [misc]simplify: iters left: 4 (36 enodes) 1544611669.093 * * [misc]simplify: iters left: 3 (37 enodes) 1544611669.100 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611669.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611669.100 * * * * [misc]progress: [ 285 / 412 ] simplifiying candidate # 1544611669.100 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611669.101 * * [misc]simplify: iters left: 6 (19 enodes) 1544611669.108 * * [misc]simplify: iters left: 5 (31 enodes) 1544611669.121 * * [misc]simplify: iters left: 4 (45 enodes) 1544611669.138 * * [misc]simplify: iters left: 3 (54 enodes) 1544611669.147 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611669.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611669.147 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611669.148 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.151 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.156 * * [misc]simplify: iters left: 4 (36 enodes) 1544611669.162 * * [misc]simplify: iters left: 3 (37 enodes) 1544611669.169 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544611669.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544611669.169 * * * * [misc]progress: [ 286 / 412 ] simplifiying candidate # 1544611669.169 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611669.170 * * [misc]simplify: iters left: 6 (19 enodes) 1544611669.178 * * [misc]simplify: iters left: 5 (30 enodes) 1544611669.190 * * [misc]simplify: iters left: 4 (40 enodes) 1544611669.202 * * [misc]simplify: iters left: 3 (45 enodes) 1544611669.209 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544611669.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611669.209 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611669.211 * * [misc]simplify: iters left: 6 (17 enodes) 1544611669.214 * * [misc]simplify: iters left: 5 (25 enodes) 1544611669.223 * * [misc]simplify: iters left: 4 (37 enodes) 1544611669.230 * * [misc]simplify: iters left: 3 (38 enodes) 1544611669.237 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611669.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611669.237 * * * * [misc]progress: [ 287 / 412 ] simplifiying candidate # 1544611669.237 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611669.238 * * [misc]simplify: iters left: 6 (18 enodes) 1544611669.246 * * [misc]simplify: iters left: 5 (28 enodes) 1544611669.254 * * [misc]simplify: iters left: 4 (38 enodes) 1544611669.261 * * [misc]simplify: iters left: 3 (43 enodes) 1544611669.267 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611669.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611669.267 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611669.268 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.272 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.277 * * [misc]simplify: iters left: 4 (36 enodes) 1544611669.286 * * [misc]simplify: iters left: 3 (37 enodes) 1544611669.300 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611669.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611669.300 * * * * [misc]progress: [ 288 / 412 ] simplifiying candidate # 1544611669.300 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt 1)) 1544611669.301 * * [misc]simplify: iters left: 6 (15 enodes) 1544611669.308 * * [misc]simplify: iters left: 5 (25 enodes) 1544611669.315 * * [misc]simplify: iters left: 4 (34 enodes) 1544611669.319 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.324 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611669.324 * [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 (sqrt k))) (sqrt (sqrt k))))) 1544611669.324 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611669.325 * * [misc]simplify: iters left: 6 (15 enodes) 1544611669.330 * * [misc]simplify: iters left: 5 (23 enodes) 1544611669.335 * * [misc]simplify: iters left: 4 (32 enodes) 1544611669.340 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.346 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611669.346 * [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)))) 1544611669.346 * * * * [misc]progress: [ 289 / 412 ] simplifiying candidate # 1544611669.346 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611669.347 * * [misc]simplify: iters left: 6 (18 enodes) 1544611669.351 * * [misc]simplify: iters left: 5 (28 enodes) 1544611669.356 * * [misc]simplify: iters left: 4 (38 enodes) 1544611669.363 * * [misc]simplify: iters left: 3 (43 enodes) 1544611669.376 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611669.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611669.376 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611669.378 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.385 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.396 * * [misc]simplify: iters left: 4 (36 enodes) 1544611669.409 * * [misc]simplify: iters left: 3 (37 enodes) 1544611669.419 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611669.419 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611669.419 * * * * [misc]progress: [ 290 / 412 ] simplifiying candidate # 1544611669.419 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) 1) 1544611669.420 * * [misc]simplify: iters left: 6 (15 enodes) 1544611669.424 * * [misc]simplify: iters left: 5 (25 enodes) 1544611669.428 * * [misc]simplify: iters left: 4 (34 enodes) 1544611669.433 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.438 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611669.438 * [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 (sqrt k))) (sqrt (sqrt k))))) 1544611669.438 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611669.439 * * [misc]simplify: iters left: 6 (15 enodes) 1544611669.442 * * [misc]simplify: iters left: 5 (23 enodes) 1544611669.447 * * [misc]simplify: iters left: 4 (32 enodes) 1544611669.458 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.464 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611669.465 * [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)))) 1544611669.465 * * * * [misc]progress: [ 291 / 412 ] simplifiying candidate # 1544611669.465 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611669.466 * * [misc]simplify: iters left: 6 (18 enodes) 1544611669.470 * * [misc]simplify: iters left: 5 (28 enodes) 1544611669.475 * * [misc]simplify: iters left: 4 (43 enodes) 1544611669.484 * * [misc]simplify: iters left: 3 (49 enodes) 1544611669.491 * * [misc]simplify: iters left: 2 (50 enodes) 1544611669.500 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611669.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611669.500 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611669.502 * * [misc]simplify: iters left: 6 (17 enodes) 1544611669.505 * * [misc]simplify: iters left: 5 (25 enodes) 1544611669.510 * * [misc]simplify: iters left: 4 (37 enodes) 1544611669.516 * * [misc]simplify: iters left: 3 (38 enodes) 1544611669.523 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611669.523 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611669.523 * * * * [misc]progress: [ 292 / 412 ] simplifiying candidate # 1544611669.523 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611669.524 * * [misc]simplify: iters left: 6 (19 enodes) 1544611669.528 * * [misc]simplify: iters left: 5 (28 enodes) 1544611669.536 * * [misc]simplify: iters left: 4 (40 enodes) 1544611669.548 * * [misc]simplify: iters left: 3 (41 enodes) 1544611669.565 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611669.565 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611669.565 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611669.567 * * [misc]simplify: iters left: 6 (18 enodes) 1544611669.574 * * [misc]simplify: iters left: 5 (26 enodes) 1544611669.584 * * [misc]simplify: iters left: 4 (38 enodes) 1544611669.597 * * [misc]simplify: iters left: 3 (40 enodes) 1544611669.612 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) 1544611669.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))))) 1544611669.612 * * * * [misc]progress: [ 293 / 412 ] simplifiying candidate # 1544611669.613 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611669.614 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.621 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.630 * * [misc]simplify: iters left: 4 (33 enodes) 1544611669.640 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.653 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611669.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611669.653 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611669.655 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.659 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.667 * * [misc]simplify: iters left: 4 (33 enodes) 1544611669.676 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.689 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611669.689 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611669.689 * * * * [misc]progress: [ 294 / 412 ] simplifiying candidate # 1544611669.689 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611669.693 * * [misc]simplify: iters left: 6 (18 enodes) 1544611669.701 * * [misc]simplify: iters left: 5 (28 enodes) 1544611669.712 * * [misc]simplify: iters left: 4 (40 enodes) 1544611669.725 * * [misc]simplify: iters left: 3 (45 enodes) 1544611669.736 * * [misc]simplify: iters left: 2 (46 enodes) 1544611669.750 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611669.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611669.751 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611669.752 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.759 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.769 * * [misc]simplify: iters left: 4 (36 enodes) 1544611669.779 * * [misc]simplify: iters left: 3 (37 enodes) 1544611669.793 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611669.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611669.793 * * * * [misc]progress: [ 295 / 412 ] simplifiying candidate # 1544611669.794 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611669.795 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.802 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.811 * * [misc]simplify: iters left: 4 (33 enodes) 1544611669.822 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.837 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611669.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611669.837 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611669.839 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.846 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.855 * * [misc]simplify: iters left: 4 (33 enodes) 1544611669.866 * * [misc]simplify: iters left: 3 (35 enodes) 1544611669.879 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544611669.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544611669.879 * * * * [misc]progress: [ 296 / 412 ] simplifiying candidate # 1544611669.879 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1) 1544611669.881 * * [misc]simplify: iters left: 6 (17 enodes) 1544611669.889 * * [misc]simplify: iters left: 5 (27 enodes) 1544611669.900 * * [misc]simplify: iters left: 4 (39 enodes) 1544611669.913 * * [misc]simplify: iters left: 3 (44 enodes) 1544611669.924 * * [misc]simplify: iters left: 2 (45 enodes) 1544611669.936 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611669.936 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611669.936 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611669.937 * * [misc]simplify: iters left: 6 (16 enodes) 1544611669.944 * * [misc]simplify: iters left: 5 (24 enodes) 1544611669.953 * * [misc]simplify: iters left: 4 (36 enodes) 1544611669.966 * * [misc]simplify: iters left: 3 (37 enodes) 1544611669.979 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611669.979 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))))) 1544611669.979 * * * * [misc]progress: [ 297 / 412 ] simplifiying candidate # 1544611669.980 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611669.981 * * [misc]simplify: iters left: 6 (18 enodes) 1544611669.989 * * [misc]simplify: iters left: 5 (30 enodes) 1544611670.002 * * [misc]simplify: iters left: 4 (47 enodes) 1544611670.017 * * [misc]simplify: iters left: 3 (57 enodes) 1544611670.035 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611670.035 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611670.036 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.039 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.045 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.050 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.057 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1544611670.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))))) 1544611670.057 * * * * [misc]progress: [ 298 / 412 ] simplifiying candidate # 1544611670.057 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611670.058 * * [misc]simplify: iters left: 6 (18 enodes) 1544611670.062 * * [misc]simplify: iters left: 5 (29 enodes) 1544611670.071 * * [misc]simplify: iters left: 4 (42 enodes) 1544611670.077 * * [misc]simplify: iters left: 3 (43 enodes) 1544611670.084 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544611670.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611670.084 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611670.085 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.088 * * [misc]simplify: iters left: 5 (25 enodes) 1544611670.094 * * [misc]simplify: iters left: 4 (37 enodes) 1544611670.100 * * [misc]simplify: iters left: 3 (38 enodes) 1544611670.114 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611670.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611670.114 * * * * [misc]progress: [ 299 / 412 ] simplifiying candidate # 1544611670.114 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) 1544611670.116 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.121 * * [misc]simplify: iters left: 5 (27 enodes) 1544611670.127 * * [misc]simplify: iters left: 4 (41 enodes) 1544611670.133 * * [misc]simplify: iters left: 3 (42 enodes) 1544611670.139 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611670.139 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611670.140 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611670.140 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.144 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.151 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.157 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.170 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611670.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611670.171 * * * * [misc]progress: [ 300 / 412 ] simplifiying candidate # 1544611670.171 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (sqrt 1)) 1544611670.172 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.180 * * [misc]simplify: iters left: 5 (25 enodes) 1544611670.189 * * [misc]simplify: iters left: 4 (34 enodes) 1544611670.198 * * [misc]simplify: iters left: 3 (35 enodes) 1544611670.208 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611670.208 * [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 (sqrt k))) (sqrt (sqrt k))))) 1544611670.208 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611670.210 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.216 * * [misc]simplify: iters left: 5 (23 enodes) 1544611670.225 * * [misc]simplify: iters left: 4 (32 enodes) 1544611670.236 * * [misc]simplify: iters left: 3 (35 enodes) 1544611670.248 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611670.248 * [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)))) 1544611670.248 * * * * [misc]progress: [ 301 / 412 ] simplifiying candidate # 1544611670.249 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (sqrt (sqrt (sqrt k)))) 1544611670.250 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.258 * * [misc]simplify: iters left: 5 (27 enodes) 1544611670.270 * * [misc]simplify: iters left: 4 (41 enodes) 1544611670.284 * * [misc]simplify: iters left: 3 (42 enodes) 1544611670.297 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611670.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611670.298 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611670.299 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.303 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.308 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.314 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.320 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) 1544611670.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))))) 1544611670.321 * * * * [misc]progress: [ 302 / 412 ] simplifiying candidate # 1544611670.321 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1) 1544611670.321 * * [misc]simplify: iters left: 6 (14 enodes) 1544611670.325 * * [misc]simplify: iters left: 5 (22 enodes) 1544611670.329 * * [misc]simplify: iters left: 4 (31 enodes) 1544611670.333 * * [misc]simplify: iters left: 3 (33 enodes) 1544611670.338 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611670.338 * [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 (sqrt k))) (sqrt (sqrt k))))) 1544611670.339 * [enter]simplify: Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611670.339 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.343 * * [misc]simplify: iters left: 5 (23 enodes) 1544611670.347 * * [misc]simplify: iters left: 4 (32 enodes) 1544611670.352 * * [misc]simplify: iters left: 3 (35 enodes) 1544611670.360 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544611670.361 * [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)))) 1544611670.361 * * * * [misc]progress: [ 303 / 412 ] simplifiying candidate # 1544611670.361 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.361 * * [misc]simplify: iters left: 6 (8 enodes) 1544611670.363 * * [misc]simplify: iters left: 5 (16 enodes) 1544611670.367 * * [misc]simplify: iters left: 4 (22 enodes) 1544611670.374 * * [misc]simplify: iters left: 3 (24 enodes) 1544611670.382 * * [misc]simplify: iters left: 2 (27 enodes) 1544611670.391 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611670.391 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611670.391 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611670.392 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.399 * * [misc]simplify: iters left: 5 (23 enodes) 1544611670.408 * * [misc]simplify: iters left: 4 (32 enodes) 1544611670.420 * * [misc]simplify: iters left: 3 (34 enodes) 1544611670.433 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.433 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611670.433 * * * * [misc]progress: [ 304 / 412 ] simplifiying candidate # 1544611670.433 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611670.435 * * [misc]simplify: iters left: 6 (11 enodes) 1544611670.439 * * [misc]simplify: iters left: 5 (18 enodes) 1544611670.446 * * [misc]simplify: iters left: 4 (23 enodes) 1544611670.453 * * [misc]simplify: iters left: 3 (26 enodes) 1544611670.462 * * [misc]simplify: iters left: 2 (32 enodes) 1544611670.476 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611670.477 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611670.479 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.485 * * [misc]simplify: iters left: 5 (25 enodes) 1544611670.492 * * [misc]simplify: iters left: 4 (37 enodes) 1544611670.498 * * [misc]simplify: iters left: 3 (38 enodes) 1544611670.505 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611670.506 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611670.506 * * * * [misc]progress: [ 305 / 412 ] simplifiying candidate # 1544611670.506 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611670.506 * * [misc]simplify: iters left: 6 (9 enodes) 1544611670.508 * * [misc]simplify: iters left: 5 (15 enodes) 1544611670.511 * * [misc]simplify: iters left: 4 (20 enodes) 1544611670.514 * * [misc]simplify: iters left: 3 (23 enodes) 1544611670.518 * * [misc]simplify: iters left: 2 (29 enodes) 1544611670.524 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.524 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611670.524 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611670.525 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.529 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.533 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.539 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.548 * [exit]simplify: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611670.548 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611670.548 * * * * [misc]progress: [ 306 / 412 ] simplifiying candidate # 1544611670.549 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt 1)) 1544611670.550 * * [misc]simplify: iters left: 6 (9 enodes) 1544611670.554 * * [misc]simplify: iters left: 5 (15 enodes) 1544611670.561 * * [misc]simplify: iters left: 4 (20 enodes) 1544611670.569 * * [misc]simplify: iters left: 3 (23 enodes) 1544611670.574 * * [misc]simplify: iters left: 2 (24 enodes) 1544611670.580 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.580 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611670.580 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611670.582 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.588 * * [misc]simplify: iters left: 5 (23 enodes) 1544611670.592 * * [misc]simplify: iters left: 4 (35 enodes) 1544611670.598 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.605 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611670.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611670.605 * * * * [misc]progress: [ 307 / 412 ] simplifiying candidate # 1544611670.605 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611670.605 * * [misc]simplify: iters left: 6 (9 enodes) 1544611670.607 * * [misc]simplify: iters left: 5 (15 enodes) 1544611670.610 * * [misc]simplify: iters left: 4 (20 enodes) 1544611670.613 * * [misc]simplify: iters left: 3 (23 enodes) 1544611670.617 * * [misc]simplify: iters left: 2 (29 enodes) 1544611670.626 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611670.626 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611670.628 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.635 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.645 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.657 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.669 * [exit]simplify: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1544611670.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))))) 1544611670.669 * * * * [misc]progress: [ 308 / 412 ] simplifiying candidate # 1544611670.669 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1) 1544611670.670 * * [misc]simplify: iters left: 6 (8 enodes) 1544611670.672 * * [misc]simplify: iters left: 5 (14 enodes) 1544611670.675 * * [misc]simplify: iters left: 4 (19 enodes) 1544611670.679 * * [misc]simplify: iters left: 3 (23 enodes) 1544611670.682 * * [misc]simplify: iters left: 2 (24 enodes) 1544611670.685 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611670.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611670.685 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611670.686 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.689 * * [misc]simplify: iters left: 5 (23 enodes) 1544611670.694 * * [misc]simplify: iters left: 4 (35 enodes) 1544611670.700 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.708 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611670.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611670.708 * * * * [misc]progress: [ 309 / 412 ] simplifiying candidate # 1544611670.708 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.709 * * [misc]simplify: iters left: 6 (11 enodes) 1544611670.711 * * [misc]simplify: iters left: 5 (18 enodes) 1544611670.718 * * [misc]simplify: iters left: 4 (24 enodes) 1544611670.726 * * [misc]simplify: iters left: 3 (29 enodes) 1544611670.735 * * [misc]simplify: iters left: 2 (30 enodes) 1544611670.747 * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611670.747 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611670.748 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.752 * * [misc]simplify: iters left: 5 (25 enodes) 1544611670.765 * * [misc]simplify: iters left: 4 (37 enodes) 1544611670.776 * * [misc]simplify: iters left: 3 (38 enodes) 1544611670.792 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611670.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611670.792 * * * * [misc]progress: [ 310 / 412 ] simplifiying candidate # 1544611670.792 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611670.793 * * [misc]simplify: iters left: 6 (8 enodes) 1544611670.796 * * [misc]simplify: iters left: 5 (13 enodes) 1544611670.798 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544611670.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611670.798 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611670.799 * * [misc]simplify: iters left: 6 (15 enodes) 1544611670.802 * * [misc]simplify: iters left: 5 (23 enodes) 1544611670.807 * * [misc]simplify: iters left: 4 (32 enodes) 1544611670.812 * * [misc]simplify: iters left: 3 (35 enodes) 1544611670.820 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544611670.821 * [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))))) 1544611670.821 * * * * [misc]progress: [ 311 / 412 ] simplifiying candidate # 1544611670.821 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611670.822 * * [misc]simplify: iters left: 6 (10 enodes) 1544611670.827 * * [misc]simplify: iters left: 5 (15 enodes) 1544611670.832 * * [misc]simplify: iters left: 4 (18 enodes) 1544611670.839 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611670.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611670.839 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611670.841 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.848 * * [misc]simplify: iters left: 5 (25 enodes) 1544611670.858 * * [misc]simplify: iters left: 4 (37 enodes) 1544611670.866 * * [misc]simplify: iters left: 3 (38 enodes) 1544611670.875 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611670.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611670.875 * * * * [misc]progress: [ 312 / 412 ] simplifiying candidate # 1544611670.876 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt 1)) 1544611670.876 * * [misc]simplify: iters left: 6 (9 enodes) 1544611670.879 * * [misc]simplify: iters left: 5 (14 enodes) 1544611670.881 * * [misc]simplify: iters left: 4 (17 enodes) 1544611670.884 * * [misc]simplify: iters left: 3 (20 enodes) 1544611670.886 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611670.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611670.887 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611670.887 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.891 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.896 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.902 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.909 * [exit]simplify: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611670.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611670.909 * * * * [misc]progress: [ 313 / 412 ] simplifiying candidate # 1544611670.909 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) 1544611670.910 * * [misc]simplify: iters left: 6 (10 enodes) 1544611670.913 * * [misc]simplify: iters left: 5 (15 enodes) 1544611670.917 * * [misc]simplify: iters left: 4 (18 enodes) 1544611670.922 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1544611670.922 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611670.922 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611670.923 * * [misc]simplify: iters left: 6 (17 enodes) 1544611670.926 * * [misc]simplify: iters left: 5 (25 enodes) 1544611670.931 * * [misc]simplify: iters left: 4 (37 enodes) 1544611670.937 * * [misc]simplify: iters left: 3 (38 enodes) 1544611670.945 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611670.945 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611670.945 * * * * [misc]progress: [ 314 / 412 ] simplifiying candidate # 1544611670.946 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1) 1544611670.946 * * [misc]simplify: iters left: 6 (8 enodes) 1544611670.948 * * [misc]simplify: iters left: 5 (13 enodes) 1544611670.951 * * [misc]simplify: iters left: 4 (16 enodes) 1544611670.953 * * [misc]simplify: iters left: 3 (20 enodes) 1544611670.956 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611670.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611670.956 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611670.957 * * [misc]simplify: iters left: 6 (16 enodes) 1544611670.960 * * [misc]simplify: iters left: 5 (24 enodes) 1544611670.970 * * [misc]simplify: iters left: 4 (36 enodes) 1544611670.981 * * [misc]simplify: iters left: 3 (37 enodes) 1544611670.995 * [exit]simplify: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))) 1544611670.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt k)))))) 1544611670.995 * * * * [misc]progress: [ 315 / 412 ] simplifiying candidate # 1544611670.995 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611670.996 * * [misc]simplify: iters left: 6 (9 enodes) 1544611671.000 * * [misc]simplify: iters left: 5 (15 enodes) 1544611671.006 * * [misc]simplify: iters left: 4 (21 enodes) 1544611671.013 * * [misc]simplify: iters left: 3 (26 enodes) 1544611671.020 * * [misc]simplify: iters left: 2 (27 enodes) 1544611671.030 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611671.031 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611671.033 * * [misc]simplify: iters left: 6 (16 enodes) 1544611671.040 * * [misc]simplify: iters left: 5 (24 enodes) 1544611671.052 * * [misc]simplify: iters left: 4 (36 enodes) 1544611671.065 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.079 * [exit]simplify: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611671.079 * * * * [misc]progress: [ 316 / 412 ] simplifiying candidate # 1544611671.079 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611671.080 * * [misc]simplify: iters left: 6 (10 enodes) 1544611671.084 * * [misc]simplify: iters left: 5 (15 enodes) 1544611671.089 * * [misc]simplify: iters left: 4 (18 enodes) 1544611671.096 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611671.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611671.097 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611671.099 * * [misc]simplify: iters left: 6 (17 enodes) 1544611671.106 * * [misc]simplify: iters left: 5 (25 enodes) 1544611671.116 * * [misc]simplify: iters left: 4 (37 enodes) 1544611671.128 * * [misc]simplify: iters left: 3 (38 enodes) 1544611671.143 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611671.143 * * * * [misc]progress: [ 317 / 412 ] simplifiying candidate # 1544611671.143 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.144 * * [misc]simplify: iters left: 6 (7 enodes) 1544611671.147 * * [misc]simplify: iters left: 5 (11 enodes) 1544611671.151 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544611671.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611671.151 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.153 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.158 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.167 * * [misc]simplify: iters left: 4 (32 enodes) 1544611671.177 * * [misc]simplify: iters left: 3 (35 enodes) 1544611671.184 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611671.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611671.184 * * * * [misc]progress: [ 318 / 412 ] simplifiying candidate # 1544611671.184 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611671.186 * * [misc]simplify: iters left: 6 (8 enodes) 1544611671.188 * * [misc]simplify: iters left: 5 (12 enodes) 1544611671.190 * * [misc]simplify: iters left: 4 (15 enodes) 1544611671.193 * * [misc]simplify: iters left: 3 (18 enodes) 1544611671.195 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611671.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.195 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.196 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.199 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.204 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.209 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.216 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.216 * * * * [misc]progress: [ 319 / 412 ] simplifiying candidate # 1544611671.216 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.217 * * [misc]simplify: iters left: 6 (7 enodes) 1544611671.218 * * [misc]simplify: iters left: 5 (11 enodes) 1544611671.220 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544611671.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611671.220 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.221 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.224 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.229 * * [misc]simplify: iters left: 4 (32 enodes) 1544611671.234 * * [misc]simplify: iters left: 3 (35 enodes) 1544611671.241 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611671.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611671.241 * * * * [misc]progress: [ 320 / 412 ] simplifiying candidate # 1544611671.241 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 1544611671.242 * * [misc]simplify: iters left: 6 (7 enodes) 1544611671.245 * * [misc]simplify: iters left: 5 (11 enodes) 1544611671.249 * * [misc]simplify: iters left: 4 (14 enodes) 1544611671.253 * * [misc]simplify: iters left: 3 (17 enodes) 1544611671.257 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611671.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.257 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.259 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.266 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.278 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.290 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.304 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.304 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.304 * * * * [misc]progress: [ 321 / 412 ] simplifiying candidate # 1544611671.304 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.305 * * [misc]simplify: iters left: 6 (9 enodes) 1544611671.309 * * [misc]simplify: iters left: 5 (15 enodes) 1544611671.311 * * [misc]simplify: iters left: 4 (20 enodes) 1544611671.316 * * [misc]simplify: iters left: 3 (33 enodes) 1544611671.321 * * [misc]simplify: iters left: 2 (35 enodes) 1544611671.324 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611671.325 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611671.325 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.329 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.333 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.339 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.346 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.346 * * * * [misc]progress: [ 322 / 412 ] simplifiying candidate # 1544611671.346 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611671.347 * * [misc]simplify: iters left: 6 (9 enodes) 1544611671.349 * * [misc]simplify: iters left: 5 (14 enodes) 1544611671.351 * * [misc]simplify: iters left: 4 (16 enodes) 1544611671.354 * * [misc]simplify: iters left: 3 (19 enodes) 1544611671.357 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611671.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611671.357 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611671.359 * * [misc]simplify: iters left: 6 (16 enodes) 1544611671.368 * * [misc]simplify: iters left: 5 (24 enodes) 1544611671.378 * * [misc]simplify: iters left: 4 (36 enodes) 1544611671.388 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.401 * [exit]simplify: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.401 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.401 * * * * [misc]progress: [ 323 / 412 ] simplifiying candidate # 1544611671.402 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611671.402 * * [misc]simplify: iters left: 5 (8 enodes) 1544611671.407 * * [misc]simplify: iters left: 4 (12 enodes) 1544611671.410 * * [misc]simplify: iters left: 3 (15 enodes) 1544611671.414 * * [misc]simplify: iters left: 2 (17 enodes) 1544611671.417 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611671.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611671.418 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611671.419 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.425 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.434 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.447 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.460 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.460 * * * * [misc]progress: [ 324 / 412 ] simplifiying candidate # 1544611671.461 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) 1544611671.461 * * [misc]simplify: iters left: 5 (4 enodes) 1544611671.465 * * [misc]simplify: iters left: 4 (8 enodes) 1544611671.466 * [exit]simplify: Simplified to 1 1544611671.466 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611671.466 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611671.467 * * [misc]simplify: iters left: 6 (14 enodes) 1544611671.473 * * [misc]simplify: iters left: 5 (22 enodes) 1544611671.482 * * [misc]simplify: iters left: 4 (31 enodes) 1544611671.492 * * [misc]simplify: iters left: 3 (34 enodes) 1544611671.505 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611671.505 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611671.505 * * * * [misc]progress: [ 325 / 412 ] simplifiying candidate # 1544611671.505 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt k)))) 1544611671.506 * * [misc]simplify: iters left: 5 (8 enodes) 1544611671.511 * * [misc]simplify: iters left: 4 (12 enodes) 1544611671.514 * * [misc]simplify: iters left: 3 (15 enodes) 1544611671.519 * * [misc]simplify: iters left: 2 (17 enodes) 1544611671.522 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611671.522 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611671.523 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611671.524 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.531 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.540 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.550 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.564 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.565 * * * * [misc]progress: [ 326 / 412 ] simplifiying candidate # 1544611671.565 * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) 1544611671.565 * * [misc]simplify: iters left: 5 (4 enodes) 1544611671.570 * * [misc]simplify: iters left: 4 (8 enodes) 1544611671.571 * [exit]simplify: Simplified to 1 1544611671.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611671.572 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611671.573 * * [misc]simplify: iters left: 6 (14 enodes) 1544611671.580 * * [misc]simplify: iters left: 5 (22 enodes) 1544611671.589 * * [misc]simplify: iters left: 4 (31 enodes) 1544611671.599 * * [misc]simplify: iters left: 3 (34 enodes) 1544611671.611 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611671.611 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611671.611 * * * * [misc]progress: [ 327 / 412 ] simplifiying candidate # 1544611671.611 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.612 * * [misc]simplify: iters left: 6 (9 enodes) 1544611671.616 * * [misc]simplify: iters left: 5 (15 enodes) 1544611671.622 * * [misc]simplify: iters left: 4 (21 enodes) 1544611671.629 * * [misc]simplify: iters left: 3 (26 enodes) 1544611671.639 * * [misc]simplify: iters left: 2 (27 enodes) 1544611671.650 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))))) 1544611671.650 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611671.652 * * [misc]simplify: iters left: 6 (16 enodes) 1544611671.659 * * [misc]simplify: iters left: 5 (24 enodes) 1544611671.670 * * [misc]simplify: iters left: 4 (36 enodes) 1544611671.681 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.696 * [exit]simplify: Simplified to (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1544611671.696 * * * * [misc]progress: [ 328 / 412 ] simplifiying candidate # 1544611671.696 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611671.698 * * [misc]simplify: iters left: 6 (10 enodes) 1544611671.702 * * [misc]simplify: iters left: 5 (15 enodes) 1544611671.707 * * [misc]simplify: iters left: 4 (18 enodes) 1544611671.714 * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1544611671.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))))) 1544611671.714 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) 1544611671.716 * * [misc]simplify: iters left: 6 (17 enodes) 1544611671.723 * * [misc]simplify: iters left: 5 (25 enodes) 1544611671.733 * * [misc]simplify: iters left: 4 (37 enodes) 1544611671.745 * * [misc]simplify: iters left: 3 (38 enodes) 1544611671.760 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611671.760 * * * * [misc]progress: [ 329 / 412 ] simplifiying candidate # 1544611671.760 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.761 * * [misc]simplify: iters left: 6 (7 enodes) 1544611671.764 * * [misc]simplify: iters left: 5 (11 enodes) 1544611671.768 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544611671.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611671.768 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.771 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.778 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.787 * * [misc]simplify: iters left: 4 (32 enodes) 1544611671.799 * * [misc]simplify: iters left: 3 (35 enodes) 1544611671.812 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611671.812 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611671.812 * * * * [misc]progress: [ 330 / 412 ] simplifiying candidate # 1544611671.812 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt 1)) 1544611671.813 * * [misc]simplify: iters left: 6 (8 enodes) 1544611671.818 * * [misc]simplify: iters left: 5 (12 enodes) 1544611671.823 * * [misc]simplify: iters left: 4 (15 enodes) 1544611671.828 * * [misc]simplify: iters left: 3 (18 enodes) 1544611671.832 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611671.832 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.833 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.834 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.841 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.851 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.863 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.877 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.877 * * * * [misc]progress: [ 331 / 412 ] simplifiying candidate # 1544611671.878 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.879 * * [misc]simplify: iters left: 6 (7 enodes) 1544611671.881 * * [misc]simplify: iters left: 5 (11 enodes) 1544611671.885 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544611671.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))))) 1544611671.886 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) 1544611671.887 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.894 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.904 * * [misc]simplify: iters left: 4 (32 enodes) 1544611671.917 * * [misc]simplify: iters left: 3 (35 enodes) 1544611671.929 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544611671.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611671.929 * * * * [misc]progress: [ 332 / 412 ] simplifiying candidate # 1544611671.929 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt k)))) 1) 1544611671.930 * * [misc]simplify: iters left: 6 (7 enodes) 1544611671.932 * * [misc]simplify: iters left: 5 (11 enodes) 1544611671.934 * * [misc]simplify: iters left: 4 (14 enodes) 1544611671.937 * * [misc]simplify: iters left: 3 (17 enodes) 1544611671.938 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611671.938 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.939 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.939 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.943 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.947 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.953 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.960 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.960 * * * * [misc]progress: [ 333 / 412 ] simplifiying candidate # 1544611671.960 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611671.961 * * [misc]simplify: iters left: 6 (8 enodes) 1544611671.962 * * [misc]simplify: iters left: 5 (12 enodes) 1544611671.964 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611671.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611671.965 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611671.965 * * [misc]simplify: iters left: 6 (15 enodes) 1544611671.969 * * [misc]simplify: iters left: 5 (23 enodes) 1544611671.973 * * [misc]simplify: iters left: 4 (35 enodes) 1544611671.982 * * [misc]simplify: iters left: 3 (37 enodes) 1544611671.997 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611671.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611671.997 * * * * [misc]progress: [ 334 / 412 ] simplifiying candidate # 1544611671.997 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611671.998 * * [misc]simplify: iters left: 6 (8 enodes) 1544611672.004 * * [misc]simplify: iters left: 5 (11 enodes) 1544611672.008 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611672.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611672.008 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611672.010 * * [misc]simplify: iters left: 6 (16 enodes) 1544611672.017 * * [misc]simplify: iters left: 5 (24 enodes) 1544611672.027 * * [misc]simplify: iters left: 4 (36 enodes) 1544611672.039 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.052 * [exit]simplify: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.053 * * * * [misc]progress: [ 335 / 412 ] simplifiying candidate # 1544611672.053 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 1544611672.054 * * [misc]simplify: iters left: 5 (7 enodes) 1544611672.056 * * [misc]simplify: iters left: 4 (9 enodes) 1544611672.059 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611672.059 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.059 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.061 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.067 * * [misc]simplify: iters left: 5 (23 enodes) 1544611672.077 * * [misc]simplify: iters left: 4 (35 enodes) 1544611672.088 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.101 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.101 * * * * [misc]progress: [ 336 / 412 ] simplifiying candidate # 1544611672.101 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) 1544611672.102 * * [misc]simplify: iters left: 4 (4 enodes) 1544611672.104 * * [misc]simplify: iters left: 3 (6 enodes) 1544611672.105 * [exit]simplify: Simplified to 1 1544611672.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611672.105 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611672.106 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.112 * * [misc]simplify: iters left: 5 (22 enodes) 1544611672.116 * * [misc]simplify: iters left: 4 (31 enodes) 1544611672.121 * * [misc]simplify: iters left: 3 (34 enodes) 1544611672.128 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611672.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611672.128 * * * * [misc]progress: [ 337 / 412 ] simplifiying candidate # 1544611672.128 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt k)))) 1544611672.129 * * [misc]simplify: iters left: 5 (7 enodes) 1544611672.130 * * [misc]simplify: iters left: 4 (9 enodes) 1544611672.131 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611672.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.132 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.132 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.135 * * [misc]simplify: iters left: 5 (23 enodes) 1544611672.140 * * [misc]simplify: iters left: 4 (35 enodes) 1544611672.145 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.152 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.152 * * * * [misc]progress: [ 338 / 412 ] simplifiying candidate # 1544611672.152 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1544611672.153 * * [misc]simplify: iters left: 4 (3 enodes) 1544611672.153 * * [misc]simplify: iters left: 3 (5 enodes) 1544611672.154 * [exit]simplify: Simplified to 1 1544611672.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611672.154 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611672.155 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.158 * * [misc]simplify: iters left: 5 (22 enodes) 1544611672.162 * * [misc]simplify: iters left: 4 (31 enodes) 1544611672.167 * * [misc]simplify: iters left: 3 (34 enodes) 1544611672.173 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611672.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611672.173 * * * * [misc]progress: [ 339 / 412 ] simplifiying candidate # 1544611672.173 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611672.174 * * [misc]simplify: iters left: 6 (7 enodes) 1544611672.175 * * [misc]simplify: iters left: 5 (11 enodes) 1544611672.178 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611672.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611672.178 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611672.179 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.185 * * [misc]simplify: iters left: 5 (23 enodes) 1544611672.194 * * [misc]simplify: iters left: 4 (35 enodes) 1544611672.207 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.221 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.221 * * * * [misc]progress: [ 340 / 412 ] simplifiying candidate # 1544611672.221 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611672.222 * * [misc]simplify: iters left: 6 (7 enodes) 1544611672.225 * * [misc]simplify: iters left: 5 (10 enodes) 1544611672.229 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611672.229 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611672.229 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611672.231 * * [misc]simplify: iters left: 6 (16 enodes) 1544611672.238 * * [misc]simplify: iters left: 5 (24 enodes) 1544611672.248 * * [misc]simplify: iters left: 4 (36 enodes) 1544611672.259 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.273 * [exit]simplify: Simplified to (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (/ (pow (* (* PI 2) n) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.273 * * * * [misc]progress: [ 341 / 412 ] simplifiying candidate # 1544611672.274 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544611672.274 * * [misc]simplify: iters left: 5 (6 enodes) 1544611672.276 * * [misc]simplify: iters left: 4 (8 enodes) 1544611672.277 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611672.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.278 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.278 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.282 * * [misc]simplify: iters left: 5 (23 enodes) 1544611672.287 * * [misc]simplify: iters left: 4 (35 enodes) 1544611672.292 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.299 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.299 * * * * [misc]progress: [ 342 / 412 ] simplifiying candidate # 1544611672.299 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544611672.299 * * [misc]simplify: iters left: 3 (3 enodes) 1544611672.301 * * [misc]simplify: iters left: 2 (5 enodes) 1544611672.301 * [exit]simplify: Simplified to 1 1544611672.301 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611672.301 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611672.302 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.306 * * [misc]simplify: iters left: 5 (22 enodes) 1544611672.311 * * [misc]simplify: iters left: 4 (31 enodes) 1544611672.320 * * [misc]simplify: iters left: 3 (34 enodes) 1544611672.332 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611672.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611672.332 * * * * [misc]progress: [ 343 / 412 ] simplifiying candidate # 1544611672.332 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544611672.333 * * [misc]simplify: iters left: 5 (6 enodes) 1544611672.335 * * [misc]simplify: iters left: 4 (8 enodes) 1544611672.338 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611672.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.338 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.339 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.346 * * [misc]simplify: iters left: 5 (23 enodes) 1544611672.355 * * [misc]simplify: iters left: 4 (35 enodes) 1544611672.366 * * [misc]simplify: iters left: 3 (37 enodes) 1544611672.381 * [exit]simplify: Simplified to (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) 1544611672.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))))) 1544611672.382 * * * * [misc]progress: [ 344 / 412 ] simplifiying candidate # 1544611672.382 * [enter]simplify: Simplifying (/ 1 1) 1544611672.382 * * [misc]simplify: iters left: 2 (2 enodes) 1544611672.384 * * [misc]simplify: iters left: 1 (4 enodes) 1544611672.385 * [exit]simplify: Simplified to 1 1544611672.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611672.385 * [enter]simplify: Simplifying (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611672.386 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.393 * * [misc]simplify: iters left: 5 (22 enodes) 1544611672.402 * * [misc]simplify: iters left: 4 (31 enodes) 1544611672.412 * * [misc]simplify: iters left: 3 (34 enodes) 1544611672.424 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544611672.424 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544611672.424 * * * * [misc]progress: [ 345 / 412 ] simplifiying candidate # 1544611672.424 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611672.426 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.433 * * [misc]simplify: iters left: 5 (23 enodes) 1544611672.443 * * [misc]simplify: iters left: 4 (32 enodes) 1544611672.448 * * [misc]simplify: iters left: 3 (34 enodes) 1544611672.455 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611672.455 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611672.455 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611672.455 * * [misc]simplify: iters left: 6 (7 enodes) 1544611672.457 * * [misc]simplify: iters left: 5 (11 enodes) 1544611672.458 * * [misc]simplify: iters left: 4 (14 enodes) 1544611672.461 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544611672.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ 1 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1544611672.461 * * * * [misc]progress: [ 346 / 412 ] simplifiying candidate # 1544611672.461 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611672.462 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.465 * * [misc]simplify: iters left: 5 (22 enodes) 1544611672.469 * * [misc]simplify: iters left: 4 (31 enodes) 1544611672.474 * * [misc]simplify: iters left: 3 (33 enodes) 1544611672.484 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611672.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611672.485 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611672.486 * * [misc]simplify: iters left: 6 (8 enodes) 1544611672.489 * * [misc]simplify: iters left: 5 (12 enodes) 1544611672.493 * * [misc]simplify: iters left: 4 (15 enodes) 1544611672.498 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) 1544611672.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))))) 1544611672.498 * * * * [misc]progress: [ 347 / 412 ] simplifiying candidate # 1544611672.499 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611672.500 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.506 * * [misc]simplify: iters left: 5 (20 enodes) 1544611672.514 * * [misc]simplify: iters left: 4 (29 enodes) 1544611672.523 * * [misc]simplify: iters left: 3 (30 enodes) 1544611672.534 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611672.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.534 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.537 * * [misc]simplify: iters left: 6 (7 enodes) 1544611672.540 * * [misc]simplify: iters left: 5 (11 enodes) 1544611672.544 * * [misc]simplify: iters left: 4 (14 enodes) 1544611672.549 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.549 * * * * [misc]progress: [ 348 / 412 ] simplifiying candidate # 1544611672.550 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt 1)) 1544611672.551 * * [misc]simplify: iters left: 6 (13 enodes) 1544611672.557 * * [misc]simplify: iters left: 5 (21 enodes) 1544611672.565 * * [misc]simplify: iters left: 4 (30 enodes) 1544611672.576 * * [misc]simplify: iters left: 3 (33 enodes) 1544611672.585 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1544611672.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611672.585 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611672.586 * * [misc]simplify: iters left: 6 (6 enodes) 1544611672.589 * * [misc]simplify: iters left: 5 (10 enodes) 1544611672.592 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544611672.592 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) 1544611672.592 * * * * [misc]progress: [ 349 / 412 ] simplifiying candidate # 1544611672.592 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611672.594 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.600 * * [misc]simplify: iters left: 5 (20 enodes) 1544611672.608 * * [misc]simplify: iters left: 4 (29 enodes) 1544611672.618 * * [misc]simplify: iters left: 3 (30 enodes) 1544611672.624 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611672.624 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.624 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.624 * * [misc]simplify: iters left: 6 (7 enodes) 1544611672.626 * * [misc]simplify: iters left: 5 (11 enodes) 1544611672.627 * * [misc]simplify: iters left: 4 (14 enodes) 1544611672.630 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1544611672.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1544611672.630 * * * * [misc]progress: [ 350 / 412 ] simplifiying candidate # 1544611672.630 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) 1544611672.631 * * [misc]simplify: iters left: 6 (12 enodes) 1544611672.633 * * [misc]simplify: iters left: 5 (20 enodes) 1544611672.638 * * [misc]simplify: iters left: 4 (31 enodes) 1544611672.642 * * [misc]simplify: iters left: 3 (32 enodes) 1544611672.654 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1544611672.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544611672.654 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) 1544611672.655 * * [misc]simplify: iters left: 6 (6 enodes) 1544611672.657 * * [misc]simplify: iters left: 5 (10 enodes) 1544611672.661 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544611672.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k)))) 1544611672.661 * * * * [misc]progress: [ 351 / 412 ] simplifiying candidate # 1544611672.661 * * * * [misc]progress: [ 352 / 412 ] simplifiying candidate # 1544611672.661 * * * * [misc]progress: [ 353 / 412 ] simplifiying candidate # 1544611672.661 * * * * [misc]progress: [ 354 / 412 ] simplifiying candidate # 1544611672.661 * [enter]simplify: Simplifying (cbrt (sqrt (sqrt k))) 1544611672.662 * * [misc]simplify: iters left: 3 (4 enodes) 1544611672.663 * [exit]simplify: Simplified to (cbrt (sqrt (sqrt k))) 1544611672.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k))))) 1544611672.663 * * * * [misc]progress: [ 355 / 412 ] simplifiying candidate # 1544611672.664 * [enter]simplify: Simplifying (sqrt (cbrt (sqrt k))) 1544611672.664 * * [misc]simplify: iters left: 3 (4 enodes) 1544611672.666 * [exit]simplify: Simplified to (sqrt (cbrt (sqrt k))) 1544611672.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k))))) 1544611672.666 * * * * [misc]progress: [ 356 / 412 ] simplifiying candidate # 1544611672.666 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544611672.667 * * [misc]simplify: iters left: 3 (4 enodes) 1544611672.668 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544611672.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 1544611672.668 * * * * [misc]progress: [ 357 / 412 ] simplifiying candidate # 1544611672.668 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544611672.669 * * [misc]simplify: iters left: 2 (3 enodes) 1544611672.670 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544611672.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt 1)) (sqrt (sqrt k)))) 1544611672.670 * * * * [misc]progress: [ 358 / 412 ] simplifiying candidate # 1544611672.670 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544611672.671 * * [misc]simplify: iters left: 3 (4 enodes) 1544611672.672 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544611672.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k))))) 1544611672.672 * * * * [misc]progress: [ 359 / 412 ] simplifiying candidate # 1544611672.672 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544611672.672 * * [misc]simplify: iters left: 2 (3 enodes) 1544611672.673 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544611672.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1) (sqrt (sqrt k)))) 1544611672.673 * * * * [misc]progress: [ 360 / 412 ] simplifiying candidate # 1544611672.673 * [enter]simplify: Simplifying (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544611672.674 * * [misc]simplify: iters left: 6 (15 enodes) 1544611672.677 * * [misc]simplify: iters left: 5 (21 enodes) 1544611672.681 * * [misc]simplify: iters left: 4 (30 enodes) 1544611672.686 * * [misc]simplify: iters left: 3 (31 enodes) 1544611672.691 * [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))) (sqrt (sqrt k))))) 1544611672.691 * [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))) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1544611672.691 * * * * [misc]progress: [ 361 / 412 ] simplifiying candidate # 1544611672.691 * [enter]simplify: Simplifying (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544611672.692 * * [misc]simplify: iters left: 6 (14 enodes) 1544611672.695 * * [misc]simplify: iters left: 5 (20 enodes) 1544611672.700 * * [misc]simplify: iters left: 4 (29 enodes) 1544611672.704 * * [misc]simplify: iters left: 3 (30 enodes) 1544611672.711 * [exit]simplify: Simplified to (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544611672.712 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1544611672.712 * * * * [misc]progress: [ 362 / 412 ] simplifiying candidate # 1544611672.712 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611672.713 * * [misc]simplify: iters left: 6 (13 enodes) 1544611672.720 * * [misc]simplify: iters left: 5 (20 enodes) 1544611672.727 * * [misc]simplify: iters left: 4 (26 enodes) 1544611672.736 * * [misc]simplify: iters left: 3 (28 enodes) 1544611672.747 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611672.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1544611672.747 * * * * [misc]progress: [ 363 / 412 ] simplifiying candidate # 1544611672.747 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611672.749 * * [misc]simplify: iters left: 6 (13 enodes) 1544611672.757 * * [misc]simplify: iters left: 5 (19 enodes) 1544611672.764 * * [misc]simplify: iters left: 4 (25 enodes) 1544611672.772 * * [misc]simplify: iters left: 3 (26 enodes) 1544611672.781 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611672.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1544611672.781 * * * * [misc]progress: [ 364 / 412 ] simplifiying candidate # 1544611672.782 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611672.783 * * [misc]simplify: iters left: 6 (12 enodes) 1544611672.788 * * [misc]simplify: iters left: 5 (17 enodes) 1544611672.794 * * [misc]simplify: iters left: 4 (23 enodes) 1544611672.802 * * [misc]simplify: iters left: 3 (24 enodes) 1544611672.810 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611672.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611672.810 * * * * [misc]progress: [ 365 / 412 ] simplifiying candidate # 1544611672.811 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1544611672.812 * * [misc]simplify: iters left: 6 (10 enodes) 1544611672.817 * * [misc]simplify: iters left: 5 (17 enodes) 1544611672.823 * * [misc]simplify: iters left: 4 (23 enodes) 1544611672.830 * * [misc]simplify: iters left: 3 (24 enodes) 1544611672.838 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611672.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))) 1544611672.838 * * * * [misc]progress: [ 366 / 412 ] simplifiying candidate # 1544611672.838 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611672.839 * * [misc]simplify: iters left: 6 (12 enodes) 1544611672.845 * * [misc]simplify: iters left: 5 (17 enodes) 1544611672.852 * * [misc]simplify: iters left: 4 (23 enodes) 1544611672.860 * * [misc]simplify: iters left: 3 (24 enodes) 1544611672.868 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611672.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611672.868 * * * * [misc]progress: [ 367 / 412 ] simplifiying candidate # 1544611672.868 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544611672.868 * * [misc]simplify: iters left: 6 (9 enodes) 1544611672.871 * * [misc]simplify: iters left: 5 (16 enodes) 1544611672.874 * * [misc]simplify: iters left: 4 (24 enodes) 1544611672.878 * * [misc]simplify: iters left: 3 (26 enodes) 1544611672.883 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544611672.883 * [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)))))) 1544611672.883 * * * * [misc]progress: [ 368 / 412 ] simplifiying candidate # 1544611672.884 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611672.885 * * [misc]simplify: iters left: 6 (13 enodes) 1544611672.891 * * [misc]simplify: iters left: 5 (20 enodes) 1544611672.899 * * [misc]simplify: iters left: 4 (26 enodes) 1544611672.908 * * [misc]simplify: iters left: 3 (28 enodes) 1544611672.913 * [exit]simplify: Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611672.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1544611672.913 * * * * [misc]progress: [ 369 / 412 ] simplifiying candidate # 1544611672.914 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611672.914 * * [misc]simplify: iters left: 6 (13 enodes) 1544611672.917 * * [misc]simplify: iters left: 5 (19 enodes) 1544611672.921 * * [misc]simplify: iters left: 4 (25 enodes) 1544611672.925 * * [misc]simplify: iters left: 3 (26 enodes) 1544611672.933 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) 1544611672.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1544611672.933 * * * * [misc]progress: [ 370 / 412 ] simplifiying candidate # 1544611672.933 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611672.934 * * [misc]simplify: iters left: 6 (12 enodes) 1544611672.939 * * [misc]simplify: iters left: 5 (17 enodes) 1544611672.946 * * [misc]simplify: iters left: 4 (23 enodes) 1544611672.954 * * [misc]simplify: iters left: 3 (24 enodes) 1544611672.962 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611672.962 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611672.962 * * * * [misc]progress: [ 371 / 412 ] simplifiying candidate # 1544611672.962 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt 1)) 1544611672.963 * * [misc]simplify: iters left: 6 (10 enodes) 1544611672.969 * * [misc]simplify: iters left: 5 (17 enodes) 1544611672.975 * * [misc]simplify: iters left: 4 (23 enodes) 1544611672.982 * * [misc]simplify: iters left: 3 (24 enodes) 1544611672.988 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544611672.988 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))) 1544611672.988 * * * * [misc]progress: [ 372 / 412 ] simplifiying candidate # 1544611672.989 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt (sqrt k)))) 1544611672.989 * * [misc]simplify: iters left: 6 (12 enodes) 1544611672.993 * * [misc]simplify: iters left: 5 (17 enodes) 1544611672.997 * * [misc]simplify: iters left: 4 (23 enodes) 1544611673.000 * * [misc]simplify: iters left: 3 (24 enodes) 1544611673.004 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) 1544611673.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611673.004 * * * * [misc]progress: [ 373 / 412 ] simplifiying candidate # 1544611673.005 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544611673.005 * * [misc]simplify: iters left: 6 (9 enodes) 1544611673.007 * * [misc]simplify: iters left: 5 (16 enodes) 1544611673.011 * * [misc]simplify: iters left: 4 (24 enodes) 1544611673.015 * * [misc]simplify: iters left: 3 (26 enodes) 1544611673.022 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544611673.022 * [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)))))) 1544611673.022 * * * * [misc]progress: [ 374 / 412 ] simplifiying candidate # 1544611673.023 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611673.024 * * [misc]simplify: iters left: 6 (12 enodes) 1544611673.029 * * [misc]simplify: iters left: 5 (16 enodes) 1544611673.034 * * [misc]simplify: iters left: 4 (19 enodes) 1544611673.042 * [exit]simplify: Simplified to (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611673.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1544611673.042 * * * * [misc]progress: [ 375 / 412 ] simplifiying candidate # 1544611673.042 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611673.044 * * [misc]simplify: iters left: 6 (12 enodes) 1544611673.049 * * [misc]simplify: iters left: 5 (15 enodes) 1544611673.053 * * [misc]simplify: iters left: 4 (18 enodes) 1544611673.057 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) 1544611673.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1544611673.057 * * * * [misc]progress: [ 376 / 412 ] simplifiying candidate # 1544611673.057 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611673.058 * * [misc]simplify: iters left: 6 (11 enodes) 1544611673.062 * * [misc]simplify: iters left: 5 (13 enodes) 1544611673.068 * * [misc]simplify: iters left: 4 (16 enodes) 1544611673.074 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611673.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611673.074 * * * * [misc]progress: [ 377 / 412 ] simplifiying candidate # 1544611673.074 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) 1544611673.075 * * [misc]simplify: iters left: 6 (10 enodes) 1544611673.080 * * [misc]simplify: iters left: 5 (14 enodes) 1544611673.085 * * [misc]simplify: iters left: 4 (17 enodes) 1544611673.091 * * [misc]simplify: iters left: 3 (19 enodes) 1544611673.096 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611673.096 * [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)))))) 1544611673.096 * * * * [misc]progress: [ 378 / 412 ] simplifiying candidate # 1544611673.096 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611673.097 * * [misc]simplify: iters left: 6 (11 enodes) 1544611673.101 * * [misc]simplify: iters left: 5 (13 enodes) 1544611673.107 * * [misc]simplify: iters left: 4 (16 enodes) 1544611673.113 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) 1544611673.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611673.113 * * * * [misc]progress: [ 379 / 412 ] simplifiying candidate # 1544611673.113 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544611673.114 * * [misc]simplify: iters left: 6 (9 enodes) 1544611673.117 * * [misc]simplify: iters left: 5 (13 enodes) 1544611673.123 * * [misc]simplify: iters left: 4 (18 enodes) 1544611673.128 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544611673.128 * [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)))))) 1544611673.128 * * * * [misc]progress: [ 380 / 412 ] simplifiying candidate # 1544611673.129 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611673.131 * * [misc]simplify: iters left: 6 (17 enodes) 1544611673.139 * * [misc]simplify: iters left: 5 (29 enodes) 1544611673.151 * * [misc]simplify: iters left: 4 (47 enodes) 1544611673.167 * * [misc]simplify: iters left: 3 (51 enodes) 1544611673.177 * * [misc]simplify: iters left: 2 (54 enodes) 1544611673.188 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1544611673.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1544611673.189 * * * * [misc]progress: [ 381 / 412 ] simplifiying candidate # 1544611673.189 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611673.190 * * [misc]simplify: iters left: 6 (17 enodes) 1544611673.194 * * [misc]simplify: iters left: 5 (26 enodes) 1544611673.199 * * [misc]simplify: iters left: 4 (37 enodes) 1544611673.205 * * [misc]simplify: iters left: 3 (40 enodes) 1544611673.214 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611673.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1544611673.214 * * * * [misc]progress: [ 382 / 412 ] simplifiying candidate # 1544611673.214 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544611673.215 * * [misc]simplify: iters left: 6 (16 enodes) 1544611673.219 * * [misc]simplify: iters left: 5 (24 enodes) 1544611673.224 * * [misc]simplify: iters left: 4 (35 enodes) 1544611673.230 * * [misc]simplify: iters left: 3 (37 enodes) 1544611673.238 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611673.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1544611673.238 * * * * [misc]progress: [ 383 / 412 ] simplifiying candidate # 1544611673.238 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt 1)) 1544611673.239 * * [misc]simplify: iters left: 6 (15 enodes) 1544611673.243 * * [misc]simplify: iters left: 5 (25 enodes) 1544611673.248 * * [misc]simplify: iters left: 4 (36 enodes) 1544611673.258 * * [misc]simplify: iters left: 3 (41 enodes) 1544611673.266 * * [misc]simplify: iters left: 2 (56 enodes) 1544611673.273 * * [misc]simplify: iters left: 1 (57 enodes) 1544611673.279 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544611673.279 * [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 (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544611673.279 * * * * [misc]progress: [ 384 / 412 ] simplifiying candidate # 1544611673.280 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1544611673.283 * * [misc]simplify: iters left: 6 (16 enodes) 1544611673.287 * * [misc]simplify: iters left: 5 (24 enodes) 1544611673.292 * * [misc]simplify: iters left: 4 (35 enodes) 1544611673.298 * * [misc]simplify: iters left: 3 (37 enodes) 1544611673.305 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) 1544611673.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1544611673.305 * * * * [misc]progress: [ 385 / 412 ] simplifiying candidate # 1544611673.306 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544611673.306 * * [misc]simplify: iters left: 6 (14 enodes) 1544611673.310 * * [misc]simplify: iters left: 5 (24 enodes) 1544611673.316 * * [misc]simplify: iters left: 4 (39 enodes) 1544611673.330 * * [misc]simplify: iters left: 3 (54 enodes) 1544611673.349 * * [misc]simplify: iters left: 2 (80 enodes) 1544611673.375 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544611673.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544611673.375 * * * * [misc]progress: [ 386 / 412 ] simplifiying candidate # 1544611673.375 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611673.377 * * [misc]simplify: iters left: 6 (16 enodes) 1544611673.384 * * [misc]simplify: iters left: 5 (24 enodes) 1544611673.397 * * [misc]simplify: iters left: 4 (33 enodes) 1544611673.408 * * [misc]simplify: iters left: 3 (34 enodes) 1544611673.420 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611673.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1544611673.421 * * * * [misc]progress: [ 387 / 412 ] simplifiying candidate # 1544611673.421 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611673.423 * * [misc]simplify: iters left: 6 (16 enodes) 1544611673.429 * * [misc]simplify: iters left: 5 (23 enodes) 1544611673.439 * * [misc]simplify: iters left: 4 (32 enodes) 1544611673.450 * * [misc]simplify: iters left: 3 (34 enodes) 1544611673.462 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1544611673.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1544611673.462 * * * * [misc]progress: [ 388 / 412 ] simplifiying candidate # 1544611673.462 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611673.464 * * [misc]simplify: iters left: 6 (15 enodes) 1544611673.470 * * [misc]simplify: iters left: 5 (21 enodes) 1544611673.479 * * [misc]simplify: iters left: 4 (30 enodes) 1544611673.489 * * [misc]simplify: iters left: 3 (31 enodes) 1544611673.499 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611673.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1544611673.500 * * * * [misc]progress: [ 389 / 412 ] simplifiying candidate # 1544611673.500 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt 1)) 1544611673.501 * * [misc]simplify: iters left: 6 (14 enodes) 1544611673.507 * * [misc]simplify: iters left: 5 (22 enodes) 1544611673.515 * * [misc]simplify: iters left: 4 (31 enodes) 1544611673.526 * * [misc]simplify: iters left: 3 (35 enodes) 1544611673.535 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611673.535 * [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)))))) 1544611673.535 * * * * [misc]progress: [ 390 / 412 ] simplifiying candidate # 1544611673.535 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611673.537 * * [misc]simplify: iters left: 6 (15 enodes) 1544611673.543 * * [misc]simplify: iters left: 5 (21 enodes) 1544611673.552 * * [misc]simplify: iters left: 4 (30 enodes) 1544611673.562 * * [misc]simplify: iters left: 3 (31 enodes) 1544611673.574 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1544611673.574 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1544611673.574 * * * * [misc]progress: [ 391 / 412 ] simplifiying candidate # 1544611673.574 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544611673.576 * * [misc]simplify: iters left: 6 (13 enodes) 1544611673.582 * * [misc]simplify: iters left: 5 (21 enodes) 1544611673.591 * * [misc]simplify: iters left: 4 (32 enodes) 1544611673.600 * * [misc]simplify: iters left: 3 (33 enodes) 1544611673.611 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544611673.611 * [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)))))) 1544611673.611 * * * * [misc]progress: [ 392 / 412 ] simplifiying candidate # 1544611673.611 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1544611673.612 * * [misc]simplify: iters left: 6 (7 enodes) 1544611673.615 * * [misc]simplify: iters left: 5 (11 enodes) 1544611673.620 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1544611673.620 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1544611673.620 * * * * [misc]progress: [ 393 / 412 ] simplifiying candidate # 1544611673.620 * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1544611673.621 * * [misc]simplify: iters left: 6 (7 enodes) 1544611673.624 * * [misc]simplify: iters left: 5 (10 enodes) 1544611673.627 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1544611673.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (fabs (cbrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1544611673.627 * * * * [misc]progress: [ 394 / 412 ] simplifiying candidate # 1544611673.628 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544611673.628 * * [misc]simplify: iters left: 5 (6 enodes) 1544611673.630 * * [misc]simplify: iters left: 4 (8 enodes) 1544611673.633 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611673.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611673.633 * * * * [misc]progress: [ 395 / 412 ] simplifiying candidate # 1544611673.633 * [enter]simplify: Simplifying (/ 1 (sqrt 1)) 1544611673.634 * * [misc]simplify: iters left: 3 (3 enodes) 1544611673.637 * * [misc]simplify: iters left: 2 (5 enodes) 1544611673.637 * [exit]simplify: Simplified to 1 1544611673.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544611673.637 * * * * [misc]progress: [ 396 / 412 ] simplifiying candidate # 1544611673.638 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt k)))) 1544611673.638 * * [misc]simplify: iters left: 5 (6 enodes) 1544611673.641 * * [misc]simplify: iters left: 4 (8 enodes) 1544611673.643 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1544611673.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1544611673.643 * * * * [misc]progress: [ 397 / 412 ] simplifiying candidate # 1544611673.644 * [enter]simplify: Simplifying (/ 1 1) 1544611673.644 * * [misc]simplify: iters left: 2 (2 enodes) 1544611673.645 * * [misc]simplify: iters left: 1 (4 enodes) 1544611673.646 * [exit]simplify: Simplified to 1 1544611673.646 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544611673.646 * * * * [misc]progress: [ 398 / 412 ] simplifiying candidate # 1544611673.646 * * * * [misc]progress: [ 399 / 412 ] simplifiying candidate # 1544611673.646 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1544611673.647 * * [misc]simplify: iters left: 5 (10 enodes) 1544611673.652 * * [misc]simplify: iters left: 4 (16 enodes) 1544611673.655 * * [misc]simplify: iters left: 3 (25 enodes) 1544611673.661 * * [misc]simplify: iters left: 2 (26 enodes) 1544611673.665 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1544611673.665 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ 1 (sqrt (sqrt k)))))) 1544611673.665 * * * * [misc]progress: [ 400 / 412 ] simplifiying candidate # 1544611673.666 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1544611673.666 * * [misc]simplify: iters left: 5 (10 enodes) 1544611673.668 * * [misc]simplify: iters left: 4 (16 enodes) 1544611673.672 * * [misc]simplify: iters left: 3 (25 enodes) 1544611673.676 * * [misc]simplify: iters left: 2 (26 enodes) 1544611673.682 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1544611673.682 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k))))) 1544611673.682 * * * * [misc]progress: [ 401 / 412 ] simplifiying candidate # 1544611673.682 * [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))))) 1544611673.687 * * [misc]simplify: iters left: 6 (37 enodes) 1544611673.715 * * [misc]simplify: iters left: 5 (108 enodes) 1544611673.792 * * [misc]simplify: iters left: 4 (368 enodes) 1544611674.525 * [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)))))) 1544611674.525 * [misc]simplify: Simplified (2 1 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 (sqrt k))) (sqrt (sqrt k)))) 1544611674.526 * * * * [misc]progress: [ 402 / 412 ] simplifiying candidate # 1544611674.526 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544611674.527 * * [misc]simplify: iters left: 6 (15 enodes) 1544611674.533 * * [misc]simplify: iters left: 5 (33 enodes) 1544611674.541 * * [misc]simplify: iters left: 4 (64 enodes) 1544611674.564 * * [misc]simplify: iters left: 3 (179 enodes) 1544611674.705 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544611674.705 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611674.705 * * * * [misc]progress: [ 403 / 412 ] simplifiying candidate # 1544611674.705 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544611674.706 * * [misc]simplify: iters left: 6 (15 enodes) 1544611674.711 * * [misc]simplify: iters left: 5 (30 enodes) 1544611674.720 * * [misc]simplify: iters left: 4 (65 enodes) 1544611674.749 * * [misc]simplify: iters left: 3 (208 enodes) 1544611674.994 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1544611674.994 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611674.994 * * * * [misc]progress: [ 404 / 412 ] simplifiying candidate # 1544611674.995 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611674.995 * * [misc]simplify: iters left: 4 (5 enodes) 1544611674.997 * * [misc]simplify: iters left: 3 (9 enodes) 1544611674.999 * * [misc]simplify: iters left: 2 (15 enodes) 1544611675.001 * * [misc]simplify: iters left: 1 (17 enodes) 1544611675.004 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611675.004 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611675.004 * * * * [misc]progress: [ 405 / 412 ] simplifiying candidate # 1544611675.004 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611675.004 * * [misc]simplify: iters left: 4 (5 enodes) 1544611675.006 * * [misc]simplify: iters left: 3 (9 enodes) 1544611675.008 * * [misc]simplify: iters left: 2 (15 enodes) 1544611675.010 * * [misc]simplify: iters left: 1 (17 enodes) 1544611675.013 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611675.013 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611675.013 * * * * [misc]progress: [ 406 / 412 ] simplifiying candidate # 1544611675.013 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544611675.013 * * [misc]simplify: iters left: 4 (5 enodes) 1544611675.015 * * [misc]simplify: iters left: 3 (9 enodes) 1544611675.017 * * [misc]simplify: iters left: 2 (15 enodes) 1544611675.019 * * [misc]simplify: iters left: 1 (17 enodes) 1544611675.022 * [exit]simplify: Simplified to (* (* PI n) 2) 1544611675.022 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544611675.022 * * * * [misc]progress: [ 407 / 412 ] simplifiying candidate # 1544611675.022 * [enter]simplify: Simplifying (- (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (/ 1 k) 1/4)) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2)) (pow (pow k 7) 1/4))) (+ (* 1/4 (* (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))) (pow (pow k 7) 1/4))) (* 1/8 (* (* (pow (log (* 2 PI)) 2) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 7) 1/4)))))) (+ (* 1/2 (* (* (log (* 2 PI)) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (pow (pow k 3) 1/4))) (* 1/2 (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)) (pow (pow k 3) 1/4))))) 1544611675.025 * * [misc]simplify: iters left: 6 (45 enodes) 1544611675.042 * * [misc]simplify: iters left: 5 (123 enodes) 1544611675.111 * * [misc]simplify: iters left: 4 (362 enodes) 1544611675.810 * [exit]simplify: Simplified to (- (fma (pow (pow k 7) 1/4) (fma 1/8 (* (log n) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2))) (* (* 1/4 (log (* 2 PI))) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2)))) (fma (* 1/8 (pow (pow k 7) 1/4)) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (pow (* 2 PI) 1/2) (pow n 1/2))) (* (pow (/ 1 k) 1/4) (* (pow (* 2 PI) 1/2) (pow n 1/2))))) (* (* (pow (pow k 3) 1/4) 1/2) (* (* (pow (* 2 PI) 1/2) (pow n 1/2)) (+ (log n) (log (* 2 PI)))))) 1544611675.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (- (fma (pow (pow k 7) 1/4) (fma 1/8 (* (log n) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2))) (* (* 1/4 (log (* 2 PI))) (* (* (log n) (pow n 1/2)) (pow (* 2 PI) 1/2)))) (fma (* 1/8 (pow (pow k 7) 1/4)) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (pow (* 2 PI) 1/2) (pow n 1/2))) (* (pow (/ 1 k) 1/4) (* (pow (* 2 PI) 1/2) (pow n 1/2))))) (* (* (pow (pow k 3) 1/4) 1/2) (* (* (pow (* 2 PI) 1/2) (pow n 1/2)) (+ (log n) (log (* 2 PI)))))) (sqrt (sqrt k)))) 1544611675.810 * * * * [misc]progress: [ 408 / 412 ] simplifiying candidate # 1544611675.811 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) 1544611675.813 * * [misc]simplify: iters left: 6 (19 enodes) 1544611675.824 * * [misc]simplify: iters left: 5 (38 enodes) 1544611675.842 * * [misc]simplify: iters left: 4 (69 enodes) 1544611675.879 * * [misc]simplify: iters left: 3 (184 enodes) 1544611676.091 * [exit]simplify: Simplified to (* (* (pow (/ 1 k) 1/4) (pow (* 2 PI) (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) 1544611676.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (pow (/ 1 k) 1/4) (pow (* 2 PI) (fma k -1/2 1/2))) (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))) 1544611676.092 * * * * [misc]progress: [ 409 / 412 ] simplifiying candidate # 1544611676.092 * [enter]simplify: Simplifying (- (* (sqrt +nan.0) (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) 1544611676.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt (sqrt k)))) 1544611676.092 * * * * [misc]progress: [ 410 / 412 ] simplifiying candidate # 1544611676.092 * [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)))))))))))))))))))))) 1544611676.092 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611676.092 * * * * [misc]progress: [ 411 / 412 ] simplifiying candidate # 1544611676.093 * [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)))))))) 1544611676.093 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611676.093 * * * * [misc]progress: [ 412 / 412 ] simplifiying candidate # 1544611676.093 * [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))))))))))) 1544611676.093 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544611676.093 * * * [misc]progress: adding candidates to table 1544611687.603 * [misc]progress: [Phase 3 of 3] Extracting. 1544611687.603 * * [misc]regime: Finding splitpoints for: (# # # # # # # #) 1544611687.606 * * * [misc]regime-changes: Trying 3 branch expressions: (n (* (* 2 PI) n) k) 1544611687.606 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # #) 1544611687.707 * * * * [misc]regimes: Trying to branch on (* (* 2 PI) n) from (# # # # # # # #) 1544611687.842 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # #) 1544611687.925 * * * [misc]regime: Found split indices: #