1544785015.461 * [misc]progress: [Phase 1 of 3] Setting up. 1544785015.461 * * * [misc]progress: [1/2] Preparing points 1544785015.461 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544785015.561 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.561 * * * * [misc]points: Sampling 184 additional inputs, on iter 1 have 72 / 256 1544785015.607 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.607 * * * * [misc]points: Sampling 139 additional inputs, on iter 2 have 117 / 256 1544785015.735 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.735 * * * * [misc]points: Sampling 115 additional inputs, on iter 3 have 141 / 256 1544785015.783 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.784 * * * * [misc]points: Sampling 88 additional inputs, on iter 4 have 168 / 256 1544785015.807 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.807 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1544785015.828 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.828 * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 1544785015.893 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.893 * * * * [misc]points: Sampling 33 additional inputs, on iter 7 have 223 / 256 1544785015.918 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.918 * * * * [misc]points: Sampling 31 additional inputs, on iter 8 have 225 / 256 1544785015.937 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.937 * * * * [misc]points: Sampling 21 additional inputs, on iter 9 have 235 / 256 1544785015.951 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.951 * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 241 / 256 1544785015.962 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.962 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1544785015.972 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.972 * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 1544785015.980 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.980 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 252 / 256 1544785015.986 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.986 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1544785015.993 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.993 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 254 / 256 1544785015.999 * * * * [misc]points: Filtering points with unrepresentable outputs 1544785015.999 * * * * [exit]points: Sampled 256 points with exact outputs 1544785015.999 * * * [misc]progress: [2/2] Setting up program. 1544785016.011 * [misc]progress: [Phase 2 of 3] Improving. 1544785016.011 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544785016.013 * * [misc]simplify: iters left: 6 (13 enodes) 1544785016.021 * * [misc]simplify: iters left: 5 (28 enodes) 1544785016.032 * * [misc]simplify: iters left: 4 (44 enodes) 1544785016.074 * * [misc]simplify: iters left: 3 (54 enodes) 1544785016.090 * * [misc]simplify: iters left: 2 (57 enodes) 1544785016.102 * * [misc]simplify: iters left: 1 (65 enodes) 1544785016.114 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544785016.125 * * [misc]progress: iteration 1 / 4 1544785016.125 * * * [misc]progress: picking best candidate 1544785016.136 * * * * [misc]pick: Picked # 1544785016.136 * * * [misc]progress: localizing error 1544785016.177 * * * [misc]progress: generating rewritten candidates 1544785016.177 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1544785016.221 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1544785016.245 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1544785016.296 * * * [misc]progress: generating series expansions 1544785016.296 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1544785016.296 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544785016.296 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544785016.296 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544785016.296 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544785016.296 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544785016.296 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785016.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.296 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785016.297 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.297 * [misc]taylor: Taking taylor expansion of k in k 1544785016.297 * [misc]backup-simplify: Simplify 0 into 0 1544785016.297 * [misc]backup-simplify: Simplify 1 into 1 1544785016.297 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544785016.297 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544785016.297 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.297 * [misc]backup-simplify: Simplify 2 into 2 1544785016.297 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544785016.297 * [misc]taylor: Taking taylor expansion of n in k 1544785016.297 * [misc]backup-simplify: Simplify n into n 1544785016.297 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.297 * [misc]backup-simplify: Simplify PI into PI 1544785016.297 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544785016.297 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544785016.297 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544785016.297 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785016.297 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.297 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.298 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544785016.298 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544785016.298 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.298 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.298 * [misc]taylor: Taking taylor expansion of k in n 1544785016.298 * [misc]backup-simplify: Simplify k into k 1544785016.298 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.298 * [misc]backup-simplify: Simplify 2 into 2 1544785016.298 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785016.298 * [misc]taylor: Taking taylor expansion of n in n 1544785016.298 * [misc]backup-simplify: Simplify 0 into 0 1544785016.298 * [misc]backup-simplify: Simplify 1 into 1 1544785016.298 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.298 * [misc]backup-simplify: Simplify PI into PI 1544785016.298 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785016.298 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785016.299 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785016.299 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785016.300 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.300 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785016.300 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785016.300 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785016.300 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.301 * [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)))) 1544785016.301 * [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))))) 1544785016.301 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.301 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.301 * [misc]taylor: Taking taylor expansion of k in n 1544785016.301 * [misc]backup-simplify: Simplify k into k 1544785016.301 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.301 * [misc]backup-simplify: Simplify 2 into 2 1544785016.301 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785016.301 * [misc]taylor: Taking taylor expansion of n in n 1544785016.301 * [misc]backup-simplify: Simplify 0 into 0 1544785016.302 * [misc]backup-simplify: Simplify 1 into 1 1544785016.302 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.302 * [misc]backup-simplify: Simplify PI into PI 1544785016.302 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785016.302 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785016.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785016.303 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785016.303 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.303 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785016.303 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785016.303 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785016.304 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.304 * [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)))) 1544785016.305 * [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))))) 1544785016.305 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.305 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.305 * [misc]taylor: Taking taylor expansion of k in k 1544785016.305 * [misc]backup-simplify: Simplify 0 into 0 1544785016.305 * [misc]backup-simplify: Simplify 1 into 1 1544785016.305 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of n in k 1544785016.305 * [misc]backup-simplify: Simplify n into n 1544785016.305 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785016.305 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544785016.305 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.305 * [misc]backup-simplify: Simplify 2 into 2 1544785016.305 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.305 * [misc]backup-simplify: Simplify PI into PI 1544785016.305 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.306 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.306 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785016.306 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.306 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.306 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.307 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544785016.307 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544785016.308 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544785016.308 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785016.309 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544785016.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785016.311 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544785016.311 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.312 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.312 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544785016.313 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785016.313 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.313 * [misc]backup-simplify: Simplify 0 into 0 1544785016.313 * [misc]backup-simplify: Simplify 0 into 0 1544785016.314 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544785016.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785016.317 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785016.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.318 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785016.318 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785016.318 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785016.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544785016.321 * [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))))))) 1544785016.323 * [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))))))) 1544785016.325 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.326 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544785016.332 * [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 1544785016.333 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544785016.333 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.333 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.334 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.335 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785016.337 * [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 1544785016.337 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.337 * [misc]backup-simplify: Simplify 0 into 0 1544785016.337 * [misc]backup-simplify: Simplify 0 into 0 1544785016.337 * [misc]backup-simplify: Simplify 0 into 0 1544785016.340 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544785016.341 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.347 * [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 1544785016.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.347 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785016.347 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785016.352 * [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))))) 1544785016.357 * [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))))) 1544785016.367 * [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))))) 1544785016.367 * [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)))) 1544785016.367 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544785016.367 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785016.367 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544785016.367 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544785016.367 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785016.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.367 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.367 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.367 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.367 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.367 * [misc]taylor: Taking taylor expansion of k in k 1544785016.367 * [misc]backup-simplify: Simplify 0 into 0 1544785016.367 * [misc]backup-simplify: Simplify 1 into 1 1544785016.368 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.368 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544785016.368 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544785016.368 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.368 * [misc]backup-simplify: Simplify 2 into 2 1544785016.368 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785016.368 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.368 * [misc]backup-simplify: Simplify PI into PI 1544785016.368 * [misc]taylor: Taking taylor expansion of n in k 1544785016.368 * [misc]backup-simplify: Simplify n into n 1544785016.368 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785016.368 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544785016.368 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544785016.369 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.369 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785016.369 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785016.369 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544785016.370 * [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)))) 1544785016.370 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.370 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of k in n 1544785016.370 * [misc]backup-simplify: Simplify k into k 1544785016.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.370 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.370 * [misc]backup-simplify: Simplify 2 into 2 1544785016.370 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.370 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.370 * [misc]backup-simplify: Simplify PI into PI 1544785016.370 * [misc]taylor: Taking taylor expansion of n in n 1544785016.370 * [misc]backup-simplify: Simplify 0 into 0 1544785016.370 * [misc]backup-simplify: Simplify 1 into 1 1544785016.371 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.371 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.372 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.372 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.372 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785016.372 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785016.373 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.373 * [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))) 1544785016.374 * [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)))) 1544785016.374 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785016.374 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785016.374 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785016.374 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785016.374 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.374 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.374 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.374 * [misc]taylor: Taking taylor expansion of k in n 1544785016.374 * [misc]backup-simplify: Simplify k into k 1544785016.375 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.375 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785016.375 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785016.375 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.375 * [misc]backup-simplify: Simplify 2 into 2 1544785016.375 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.375 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.375 * [misc]backup-simplify: Simplify PI into PI 1544785016.375 * [misc]taylor: Taking taylor expansion of n in n 1544785016.375 * [misc]backup-simplify: Simplify 0 into 0 1544785016.375 * [misc]backup-simplify: Simplify 1 into 1 1544785016.375 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.375 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.376 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.376 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.376 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785016.376 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785016.377 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.378 * [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))) 1544785016.378 * [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)))) 1544785016.379 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.379 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.379 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of k in k 1544785016.379 * [misc]backup-simplify: Simplify 0 into 0 1544785016.379 * [misc]backup-simplify: Simplify 1 into 1 1544785016.379 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.379 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544785016.379 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.379 * [misc]backup-simplify: Simplify 2 into 2 1544785016.379 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.379 * [misc]backup-simplify: Simplify PI into PI 1544785016.380 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.380 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.380 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785016.380 * [misc]taylor: Taking taylor expansion of n in k 1544785016.380 * [misc]backup-simplify: Simplify n into n 1544785016.380 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785016.381 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.381 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785016.381 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785016.381 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785016.382 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544785016.382 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544785016.383 * [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)))) 1544785016.388 * [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)))) 1544785016.389 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785016.390 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785016.393 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785016.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785016.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785016.394 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.394 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.395 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544785016.397 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785016.397 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.397 * [misc]backup-simplify: Simplify 0 into 0 1544785016.397 * [misc]backup-simplify: Simplify 0 into 0 1544785016.397 * [misc]backup-simplify: Simplify 0 into 0 1544785016.398 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.399 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.403 * [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 1544785016.403 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785016.403 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.403 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.405 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544785016.406 * [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 1544785016.406 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.406 * [misc]backup-simplify: Simplify 0 into 0 1544785016.406 * [misc]backup-simplify: Simplify 0 into 0 1544785016.406 * [misc]backup-simplify: Simplify 0 into 0 1544785016.406 * [misc]backup-simplify: Simplify 0 into 0 1544785016.408 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.409 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.417 * [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 1544785016.417 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785016.418 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.418 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.420 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544785016.422 * [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 1544785016.422 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.422 * [misc]backup-simplify: Simplify 0 into 0 1544785016.422 * [misc]backup-simplify: Simplify 0 into 0 1544785016.423 * [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))))) 1544785016.423 * [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)) 1544785016.423 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544785016.423 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of k in k 1544785016.423 * [misc]backup-simplify: Simplify 0 into 0 1544785016.423 * [misc]backup-simplify: Simplify 1 into 1 1544785016.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.423 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of -2 in k 1544785016.423 * [misc]backup-simplify: Simplify -2 into -2 1544785016.423 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785016.423 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.424 * [misc]backup-simplify: Simplify PI into PI 1544785016.424 * [misc]taylor: Taking taylor expansion of n in k 1544785016.424 * [misc]backup-simplify: Simplify n into n 1544785016.424 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785016.424 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544785016.424 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544785016.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.424 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.424 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544785016.424 * [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))) 1544785016.424 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785016.424 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544785016.424 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544785016.424 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785016.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.424 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.425 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.425 * [misc]taylor: Taking taylor expansion of k in n 1544785016.425 * [misc]backup-simplify: Simplify k into k 1544785016.425 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.425 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785016.425 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785016.425 * [misc]taylor: Taking taylor expansion of -2 in n 1544785016.425 * [misc]backup-simplify: Simplify -2 into -2 1544785016.425 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.425 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.425 * [misc]backup-simplify: Simplify PI into PI 1544785016.425 * [misc]taylor: Taking taylor expansion of n in n 1544785016.425 * [misc]backup-simplify: Simplify 0 into 0 1544785016.425 * [misc]backup-simplify: Simplify 1 into 1 1544785016.425 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.425 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.426 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785016.426 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.426 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785016.426 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.427 * [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))) 1544785016.427 * [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)))) 1544785016.427 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785016.427 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544785016.427 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544785016.427 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785016.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.428 * [misc]taylor: Taking taylor expansion of k in n 1544785016.428 * [misc]backup-simplify: Simplify k into k 1544785016.428 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.428 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785016.428 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785016.428 * [misc]taylor: Taking taylor expansion of -2 in n 1544785016.428 * [misc]backup-simplify: Simplify -2 into -2 1544785016.428 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.428 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.428 * [misc]backup-simplify: Simplify PI into PI 1544785016.428 * [misc]taylor: Taking taylor expansion of n in n 1544785016.428 * [misc]backup-simplify: Simplify 0 into 0 1544785016.428 * [misc]backup-simplify: Simplify 1 into 1 1544785016.428 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.428 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.429 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785016.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.429 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785016.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.430 * [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))) 1544785016.430 * [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)))) 1544785016.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544785016.430 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544785016.430 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785016.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.430 * [misc]taylor: Taking taylor expansion of k in k 1544785016.430 * [misc]backup-simplify: Simplify 0 into 0 1544785016.431 * [misc]backup-simplify: Simplify 1 into 1 1544785016.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.431 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544785016.431 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544785016.431 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544785016.431 * [misc]taylor: Taking taylor expansion of -2 in k 1544785016.431 * [misc]backup-simplify: Simplify -2 into -2 1544785016.431 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.431 * [misc]backup-simplify: Simplify PI into PI 1544785016.431 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.431 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785016.431 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785016.431 * [misc]taylor: Taking taylor expansion of n in k 1544785016.431 * [misc]backup-simplify: Simplify n into n 1544785016.431 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785016.432 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.432 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.432 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785016.432 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544785016.432 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544785016.433 * [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)))) 1544785016.433 * [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)))) 1544785016.434 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785016.435 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544785016.437 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544785016.437 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785016.437 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785016.437 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.438 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.438 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544785016.439 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785016.439 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.439 * [misc]backup-simplify: Simplify 0 into 0 1544785016.439 * [misc]backup-simplify: Simplify 0 into 0 1544785016.439 * [misc]backup-simplify: Simplify 0 into 0 1544785016.440 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.441 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.444 * [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 1544785016.445 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.445 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785016.445 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.445 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.446 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544785016.448 * [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 1544785016.448 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.448 * [misc]backup-simplify: Simplify 0 into 0 1544785016.448 * [misc]backup-simplify: Simplify 0 into 0 1544785016.448 * [misc]backup-simplify: Simplify 0 into 0 1544785016.448 * [misc]backup-simplify: Simplify 0 into 0 1544785016.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.450 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.456 * [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 1544785016.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785016.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.458 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.460 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544785016.464 * [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 1544785016.464 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.464 * [misc]backup-simplify: Simplify 0 into 0 1544785016.464 * [misc]backup-simplify: Simplify 0 into 0 1544785016.465 * [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))))) 1544785016.465 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1544785016.466 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544785016.466 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544785016.466 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785016.466 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.466 * [misc]backup-simplify: Simplify 2 into 2 1544785016.466 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785016.466 * [misc]taylor: Taking taylor expansion of n in n 1544785016.466 * [misc]backup-simplify: Simplify 0 into 0 1544785016.466 * [misc]backup-simplify: Simplify 1 into 1 1544785016.466 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.466 * [misc]backup-simplify: Simplify PI into PI 1544785016.466 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785016.466 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.466 * [misc]backup-simplify: Simplify 2 into 2 1544785016.466 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785016.466 * [misc]taylor: Taking taylor expansion of n in n 1544785016.466 * [misc]backup-simplify: Simplify 0 into 0 1544785016.466 * [misc]backup-simplify: Simplify 1 into 1 1544785016.466 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.466 * [misc]backup-simplify: Simplify PI into PI 1544785016.467 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785016.467 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785016.467 * [misc]backup-simplify: Simplify 0 into 0 1544785016.468 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785016.468 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785016.469 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785016.471 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544785016.471 * [misc]backup-simplify: Simplify 0 into 0 1544785016.472 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.473 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544785016.473 * [misc]backup-simplify: Simplify 0 into 0 1544785016.474 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785016.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544785016.476 * [misc]backup-simplify: Simplify 0 into 0 1544785016.477 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544785016.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544785016.479 * [misc]backup-simplify: Simplify 0 into 0 1544785016.481 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544785016.483 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544785016.483 * [misc]backup-simplify: Simplify 0 into 0 1544785016.486 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544785016.488 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544785016.488 * [misc]backup-simplify: Simplify 0 into 0 1544785016.488 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544785016.488 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544785016.488 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544785016.488 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785016.488 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.489 * [misc]backup-simplify: Simplify 2 into 2 1544785016.489 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.489 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.489 * [misc]backup-simplify: Simplify PI into PI 1544785016.489 * [misc]taylor: Taking taylor expansion of n in n 1544785016.489 * [misc]backup-simplify: Simplify 0 into 0 1544785016.489 * [misc]backup-simplify: Simplify 1 into 1 1544785016.489 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.489 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785016.489 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.489 * [misc]backup-simplify: Simplify 2 into 2 1544785016.489 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.489 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.489 * [misc]backup-simplify: Simplify PI into PI 1544785016.489 * [misc]taylor: Taking taylor expansion of n in n 1544785016.489 * [misc]backup-simplify: Simplify 0 into 0 1544785016.489 * [misc]backup-simplify: Simplify 1 into 1 1544785016.489 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.489 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.490 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.490 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785016.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785016.491 * [misc]backup-simplify: Simplify 0 into 0 1544785016.492 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.492 * [misc]backup-simplify: Simplify 0 into 0 1544785016.493 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.496 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.496 * [misc]backup-simplify: Simplify 0 into 0 1544785016.497 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.498 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785016.498 * [misc]backup-simplify: Simplify 0 into 0 1544785016.500 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544785016.501 * [misc]backup-simplify: Simplify 0 into 0 1544785016.503 * [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 1544785016.505 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544785016.505 * [misc]backup-simplify: Simplify 0 into 0 1544785016.505 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544785016.505 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544785016.505 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544785016.505 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785016.505 * [misc]taylor: Taking taylor expansion of -2 in n 1544785016.505 * [misc]backup-simplify: Simplify -2 into -2 1544785016.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.505 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.506 * [misc]backup-simplify: Simplify PI into PI 1544785016.506 * [misc]taylor: Taking taylor expansion of n in n 1544785016.506 * [misc]backup-simplify: Simplify 0 into 0 1544785016.506 * [misc]backup-simplify: Simplify 1 into 1 1544785016.506 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.506 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785016.506 * [misc]taylor: Taking taylor expansion of -2 in n 1544785016.506 * [misc]backup-simplify: Simplify -2 into -2 1544785016.506 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.506 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.506 * [misc]backup-simplify: Simplify PI into PI 1544785016.506 * [misc]taylor: Taking taylor expansion of n in n 1544785016.506 * [misc]backup-simplify: Simplify 0 into 0 1544785016.506 * [misc]backup-simplify: Simplify 1 into 1 1544785016.506 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.506 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.507 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.507 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785016.508 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544785016.508 * [misc]backup-simplify: Simplify 0 into 0 1544785016.509 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.509 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.509 * [misc]backup-simplify: Simplify 0 into 0 1544785016.511 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.512 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.512 * [misc]backup-simplify: Simplify 0 into 0 1544785016.514 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.516 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785016.516 * [misc]backup-simplify: Simplify 0 into 0 1544785016.518 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.521 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544785016.521 * [misc]backup-simplify: Simplify 0 into 0 1544785016.524 * [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 1544785016.528 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544785016.528 * [misc]backup-simplify: Simplify 0 into 0 1544785016.528 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544785016.528 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1544785016.529 * [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)))) 1544785016.529 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544785016.530 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544785016.530 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785016.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.530 * [misc]taylor: Taking taylor expansion of k in k 1544785016.530 * [misc]backup-simplify: Simplify 0 into 0 1544785016.530 * [misc]backup-simplify: Simplify 1 into 1 1544785016.530 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.530 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785016.531 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785016.531 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.531 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.531 * [misc]taylor: Taking taylor expansion of k in k 1544785016.531 * [misc]backup-simplify: Simplify 0 into 0 1544785016.531 * [misc]backup-simplify: Simplify 1 into 1 1544785016.531 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.531 * [misc]backup-simplify: Simplify 2 into 2 1544785016.531 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544785016.531 * [misc]taylor: Taking taylor expansion of n in k 1544785016.531 * [misc]backup-simplify: Simplify n into n 1544785016.531 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.531 * [misc]backup-simplify: Simplify PI into PI 1544785016.532 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544785016.532 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544785016.532 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544785016.532 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785016.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.532 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.532 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544785016.533 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544785016.533 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of k in n 1544785016.533 * [misc]backup-simplify: Simplify k into k 1544785016.533 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.533 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785016.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785016.533 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785016.533 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785016.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.534 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785016.534 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.534 * [misc]taylor: Taking taylor expansion of k in n 1544785016.534 * [misc]backup-simplify: Simplify k into k 1544785016.534 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785016.534 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785016.534 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.534 * [misc]backup-simplify: Simplify 2 into 2 1544785016.534 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785016.534 * [misc]taylor: Taking taylor expansion of n in n 1544785016.534 * [misc]backup-simplify: Simplify 0 into 0 1544785016.534 * [misc]backup-simplify: Simplify 1 into 1 1544785016.534 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.534 * [misc]backup-simplify: Simplify PI into PI 1544785016.534 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785016.534 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785016.535 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785016.536 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785016.537 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.537 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785016.537 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785016.537 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785016.538 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.538 * [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)))) 1544785016.539 * [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))))) 1544785016.539 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544785016.539 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785016.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.539 * [misc]taylor: Taking taylor expansion of k in n 1544785016.539 * [misc]backup-simplify: Simplify k into k 1544785016.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.539 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785016.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785016.540 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785016.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.540 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.540 * [misc]taylor: Taking taylor expansion of k in n 1544785016.540 * [misc]backup-simplify: Simplify k into k 1544785016.540 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.540 * [misc]backup-simplify: Simplify 2 into 2 1544785016.540 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785016.540 * [misc]taylor: Taking taylor expansion of n in n 1544785016.540 * [misc]backup-simplify: Simplify 0 into 0 1544785016.540 * [misc]backup-simplify: Simplify 1 into 1 1544785016.540 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.540 * [misc]backup-simplify: Simplify PI into PI 1544785016.541 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785016.541 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785016.541 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785016.542 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785016.543 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.543 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785016.543 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785016.543 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785016.544 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.544 * [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)))) 1544785016.545 * [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))))) 1544785016.546 * [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))) 1544785016.546 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544785016.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544785016.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544785016.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785016.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.546 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785016.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.546 * [misc]taylor: Taking taylor expansion of k in k 1544785016.547 * [misc]backup-simplify: Simplify 0 into 0 1544785016.547 * [misc]backup-simplify: Simplify 1 into 1 1544785016.547 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544785016.547 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785016.547 * [misc]taylor: Taking taylor expansion of n in k 1544785016.547 * [misc]backup-simplify: Simplify n into n 1544785016.547 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785016.547 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544785016.547 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544785016.547 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.547 * [misc]backup-simplify: Simplify 2 into 2 1544785016.547 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.547 * [misc]backup-simplify: Simplify PI into PI 1544785016.547 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.548 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.548 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785016.548 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.548 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.549 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.550 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544785016.550 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544785016.550 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785016.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.550 * [misc]taylor: Taking taylor expansion of k in k 1544785016.550 * [misc]backup-simplify: Simplify 0 into 0 1544785016.550 * [misc]backup-simplify: Simplify 1 into 1 1544785016.551 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.551 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785016.551 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785016.552 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544785016.552 * [misc]backup-simplify: Simplify 0 into 0 1544785016.553 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785016.554 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544785016.557 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785016.558 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544785016.558 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.559 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.560 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544785016.562 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785016.563 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544785016.563 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.563 * [misc]backup-simplify: Simplify 0 into 0 1544785016.564 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544785016.564 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785016.566 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785016.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.566 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785016.566 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785016.566 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785016.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544785016.568 * [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))))))) 1544785016.570 * [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))))))) 1544785016.570 * [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))))))) 1544785016.571 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.572 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544785016.576 * [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 1544785016.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544785016.576 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.577 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.577 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785016.579 * [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 1544785016.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.579 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544785016.580 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544785016.580 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.580 * [misc]backup-simplify: Simplify 0 into 0 1544785016.580 * [misc]backup-simplify: Simplify 0 into 0 1544785016.580 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544785016.581 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785016.582 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544785016.583 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.587 * [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 1544785016.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.587 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785016.587 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.587 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.588 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785016.590 * [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))))) 1544785016.597 * [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)))))))) 1544785016.601 * [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)))))))) 1544785016.604 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785016.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544785016.617 * [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 1544785016.617 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544785016.617 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.618 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785016.620 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544785016.626 * [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 1544785016.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.627 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544785016.628 * [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 1544785016.628 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.628 * [misc]backup-simplify: Simplify 0 into 0 1544785016.628 * [misc]backup-simplify: Simplify 0 into 0 1544785016.628 * [misc]backup-simplify: Simplify 0 into 0 1544785016.628 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.630 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785016.633 * [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 1544785016.635 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.644 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1544785016.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785016.645 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.647 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544785016.654 * [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))))))) 1544785016.674 * [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)))))))))))))) 1544785016.686 * [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)))))))))))))) 1544785016.706 * [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)))))))))))))))))))))) 1544785016.707 * [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))))) 1544785016.707 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544785016.707 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544785016.707 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785016.707 * [misc]taylor: Taking taylor expansion of k in k 1544785016.707 * [misc]backup-simplify: Simplify 0 into 0 1544785016.707 * [misc]backup-simplify: Simplify 1 into 1 1544785016.707 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785016.708 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785016.708 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.708 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.708 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of k in k 1544785016.708 * [misc]backup-simplify: Simplify 0 into 0 1544785016.708 * [misc]backup-simplify: Simplify 1 into 1 1544785016.708 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.708 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.708 * [misc]backup-simplify: Simplify 2 into 2 1544785016.708 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785016.708 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.708 * [misc]backup-simplify: Simplify PI into PI 1544785016.708 * [misc]taylor: Taking taylor expansion of n in k 1544785016.708 * [misc]backup-simplify: Simplify n into n 1544785016.708 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785016.708 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544785016.708 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544785016.709 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.709 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785016.709 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785016.709 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544785016.709 * [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)))) 1544785016.709 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of k in n 1544785016.709 * [misc]backup-simplify: Simplify k into k 1544785016.709 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785016.709 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785016.709 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.709 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of k in n 1544785016.709 * [misc]backup-simplify: Simplify k into k 1544785016.709 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.709 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785016.709 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.709 * [misc]backup-simplify: Simplify 2 into 2 1544785016.709 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.710 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.710 * [misc]backup-simplify: Simplify PI into PI 1544785016.710 * [misc]taylor: Taking taylor expansion of n in n 1544785016.710 * [misc]backup-simplify: Simplify 0 into 0 1544785016.710 * [misc]backup-simplify: Simplify 1 into 1 1544785016.710 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.710 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.710 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.710 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.710 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785016.711 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785016.711 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.711 * [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))) 1544785016.712 * [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)))) 1544785016.712 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of k in n 1544785016.712 * [misc]backup-simplify: Simplify k into k 1544785016.712 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785016.712 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785016.712 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.712 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.712 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of k in n 1544785016.712 * [misc]backup-simplify: Simplify k into k 1544785016.712 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.712 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of 2 in n 1544785016.712 * [misc]backup-simplify: Simplify 2 into 2 1544785016.712 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.712 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.712 * [misc]backup-simplify: Simplify PI into PI 1544785016.712 * [misc]taylor: Taking taylor expansion of n in n 1544785016.712 * [misc]backup-simplify: Simplify 0 into 0 1544785016.713 * [misc]backup-simplify: Simplify 1 into 1 1544785016.713 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.713 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.713 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.713 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.713 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785016.713 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785016.714 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.714 * [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))) 1544785016.715 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1544785016.715 * [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)) 1544785016.715 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544785016.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544785016.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544785016.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785016.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.716 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.716 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.716 * [misc]taylor: Taking taylor expansion of k in k 1544785016.716 * [misc]backup-simplify: Simplify 0 into 0 1544785016.716 * [misc]backup-simplify: Simplify 1 into 1 1544785016.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.716 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544785016.716 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544785016.716 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544785016.716 * [misc]taylor: Taking taylor expansion of 2 in k 1544785016.716 * [misc]backup-simplify: Simplify 2 into 2 1544785016.716 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.716 * [misc]backup-simplify: Simplify PI into PI 1544785016.716 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785016.716 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785016.716 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785016.716 * [misc]taylor: Taking taylor expansion of n in k 1544785016.716 * [misc]backup-simplify: Simplify n into n 1544785016.716 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785016.717 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.717 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785016.717 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785016.717 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785016.717 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544785016.718 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544785016.718 * [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)))) 1544785016.718 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785016.718 * [misc]taylor: Taking taylor expansion of k in k 1544785016.718 * [misc]backup-simplify: Simplify 0 into 0 1544785016.718 * [misc]backup-simplify: Simplify 1 into 1 1544785016.718 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785016.718 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785016.719 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544785016.719 * [misc]backup-simplify: Simplify 0 into 0 1544785016.720 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785016.720 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785016.722 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785016.722 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785016.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785016.722 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.723 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.724 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544785016.725 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785016.725 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544785016.725 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.725 * [misc]backup-simplify: Simplify 0 into 0 1544785016.725 * [misc]backup-simplify: Simplify 0 into 0 1544785016.726 * [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)))))) 1544785016.726 * [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)))))) 1544785016.727 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.728 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.732 * [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 1544785016.732 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.732 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785016.732 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.733 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.733 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544785016.735 * [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 1544785016.735 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544785016.736 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544785016.736 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.736 * [misc]backup-simplify: Simplify 0 into 0 1544785016.736 * [misc]backup-simplify: Simplify 0 into 0 1544785016.736 * [misc]backup-simplify: Simplify 0 into 0 1544785016.737 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785016.737 * [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)))))) 1544785016.738 * [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)))))) 1544785016.739 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.740 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785016.747 * [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 1544785016.747 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.748 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785016.748 * [misc]backup-simplify: Simplify (- 0) into 0 1544785016.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785016.749 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544785016.752 * [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 1544785016.752 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544785016.753 * [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 1544785016.753 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.753 * [misc]backup-simplify: Simplify 0 into 0 1544785016.753 * [misc]backup-simplify: Simplify 0 into 0 1544785016.753 * [misc]backup-simplify: Simplify 0 into 0 1544785016.753 * [misc]backup-simplify: Simplify 0 into 0 1544785016.754 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785016.754 * [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)))))) 1544785016.755 * [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)))))) 1544785016.757 * [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)))))))) 1544785016.757 * [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))) 1544785016.757 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544785016.757 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544785016.757 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785016.757 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544785016.757 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544785016.757 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785016.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.757 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.758 * [misc]taylor: Taking taylor expansion of k in k 1544785016.758 * [misc]backup-simplify: Simplify 0 into 0 1544785016.758 * [misc]backup-simplify: Simplify 1 into 1 1544785016.758 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.758 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544785016.758 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544785016.758 * [misc]taylor: Taking taylor expansion of -2 in k 1544785016.758 * [misc]backup-simplify: Simplify -2 into -2 1544785016.758 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785016.758 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.758 * [misc]backup-simplify: Simplify PI into PI 1544785016.758 * [misc]taylor: Taking taylor expansion of n in k 1544785016.758 * [misc]backup-simplify: Simplify n into n 1544785016.758 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785016.758 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544785016.758 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544785016.758 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.758 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.758 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544785016.759 * [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))) 1544785016.759 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785016.759 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785016.759 * [misc]taylor: Taking taylor expansion of -1 in k 1544785016.759 * [misc]backup-simplify: Simplify -1 into -1 1544785016.759 * [misc]taylor: Taking taylor expansion of k in k 1544785016.759 * [misc]backup-simplify: Simplify 0 into 0 1544785016.759 * [misc]backup-simplify: Simplify 1 into 1 1544785016.759 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785016.759 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785016.759 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785016.760 * [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)))) 1544785016.760 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.760 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of k in n 1544785016.760 * [misc]backup-simplify: Simplify k into k 1544785016.760 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.760 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of -2 in n 1544785016.760 * [misc]backup-simplify: Simplify -2 into -2 1544785016.760 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.760 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.760 * [misc]backup-simplify: Simplify PI into PI 1544785016.760 * [misc]taylor: Taking taylor expansion of n in n 1544785016.760 * [misc]backup-simplify: Simplify 0 into 0 1544785016.760 * [misc]backup-simplify: Simplify 1 into 1 1544785016.760 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.760 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.761 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785016.761 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.761 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785016.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.762 * [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))) 1544785016.762 * [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)))) 1544785016.762 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785016.762 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785016.762 * [misc]taylor: Taking taylor expansion of -1 in n 1544785016.762 * [misc]backup-simplify: Simplify -1 into -1 1544785016.762 * [misc]taylor: Taking taylor expansion of k in n 1544785016.762 * [misc]backup-simplify: Simplify k into k 1544785016.763 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785016.763 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785016.763 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785016.763 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785016.763 * [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))) 1544785016.763 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785016.763 * [misc]taylor: Taking taylor expansion of k in n 1544785016.763 * [misc]backup-simplify: Simplify k into k 1544785016.763 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785016.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785016.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.764 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785016.764 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785016.764 * [misc]taylor: Taking taylor expansion of -2 in n 1544785016.764 * [misc]backup-simplify: Simplify -2 into -2 1544785016.764 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785016.764 * [misc]taylor: Taking taylor expansion of PI in n 1544785016.764 * [misc]backup-simplify: Simplify PI into PI 1544785016.764 * [misc]taylor: Taking taylor expansion of n in n 1544785016.764 * [misc]backup-simplify: Simplify 0 into 0 1544785016.764 * [misc]backup-simplify: Simplify 1 into 1 1544785016.764 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785016.764 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.764 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785016.764 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785016.765 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785016.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.765 * [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))) 1544785016.766 * [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)))) 1544785016.766 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785016.766 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785016.766 * [misc]taylor: Taking taylor expansion of -1 in n 1544785016.766 * [misc]backup-simplify: Simplify -1 into -1 1544785016.766 * [misc]taylor: Taking taylor expansion of k in n 1544785016.766 * [misc]backup-simplify: Simplify k into k 1544785016.766 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785016.766 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785016.766 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785016.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785016.767 * [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))) 1544785016.767 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544785016.767 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544785016.767 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544785016.767 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785016.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785016.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785016.767 * [misc]taylor: Taking taylor expansion of k in k 1544785016.767 * [misc]backup-simplify: Simplify 0 into 0 1544785016.767 * [misc]backup-simplify: Simplify 1 into 1 1544785016.767 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785016.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785016.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785016.767 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544785016.768 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544785016.768 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544785016.768 * [misc]taylor: Taking taylor expansion of -2 in k 1544785016.768 * [misc]backup-simplify: Simplify -2 into -2 1544785016.768 * [misc]taylor: Taking taylor expansion of PI in k 1544785016.768 * [misc]backup-simplify: Simplify PI into PI 1544785016.768 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785016.769 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785016.769 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785016.769 * [misc]taylor: Taking taylor expansion of n in k 1544785016.769 * [misc]backup-simplify: Simplify n into n 1544785016.769 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785016.769 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785016.769 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785016.769 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785016.770 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544785016.771 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544785016.771 * [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)))) 1544785016.772 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785016.772 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785016.772 * [misc]taylor: Taking taylor expansion of -1 in k 1544785016.772 * [misc]backup-simplify: Simplify -1 into -1 1544785016.772 * [misc]taylor: Taking taylor expansion of k in k 1544785016.772 * [misc]backup-simplify: Simplify 0 into 0 1544785016.772 * [misc]backup-simplify: Simplify 1 into 1 1544785016.772 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785016.772 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785016.773 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785016.773 * [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))))) 1544785016.774 * [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))))) 1544785016.775 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785016.776 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544785016.780 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544785016.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785016.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785016.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.782 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544785016.784 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785016.785 * [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 1544785016.785 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.785 * [misc]backup-simplify: Simplify 0 into 0 1544785016.785 * [misc]backup-simplify: Simplify 0 into 0 1544785016.785 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544785016.787 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785016.788 * [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)))))) 1544785016.788 * [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)))))) 1544785016.790 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.791 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785016.796 * [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 1544785016.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785016.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785016.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785016.798 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544785016.800 * [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 1544785016.801 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785016.801 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544785016.803 * [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 1544785016.803 * [misc]taylor: Taking taylor expansion of 0 in k 1544785016.803 * [misc]backup-simplify: Simplify 0 into 0 1544785016.803 * [misc]backup-simplify: Simplify 0 into 0 1544785016.803 * [misc]backup-simplify: Simplify 0 into 0 1544785016.803 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785016.804 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785016.807 * [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)))))) 1544785016.807 * [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)))))) 1544785016.811 * [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))))))))))) 1544785016.811 * * * [misc]progress: simplifying candidates 1544785016.811 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1544785016.811 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1544785016.811 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1544785016.811 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544785016.813 * * [misc]simplify: iters left: 6 (11 enodes) 1544785016.818 * * [misc]simplify: iters left: 5 (21 enodes) 1544785016.829 * * [misc]simplify: iters left: 4 (47 enodes) 1544785016.850 * * [misc]simplify: iters left: 3 (113 enodes) 1544785016.910 * * [misc]simplify: iters left: 2 (328 enodes) 1544785017.317 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544785017.317 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544785017.317 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1544785017.317 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1544785017.317 * [enter]simplify: Simplifying (* PI (* n 2)) 1544785017.318 * * [misc]simplify: iters left: 4 (5 enodes) 1544785017.320 * * [misc]simplify: iters left: 3 (9 enodes) 1544785017.322 * * [misc]simplify: iters left: 2 (15 enodes) 1544785017.325 * * [misc]simplify: iters left: 1 (17 enodes) 1544785017.328 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544785017.328 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544785017.328 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1544785017.328 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544785017.329 * * [misc]simplify: iters left: 5 (8 enodes) 1544785017.331 * * [misc]simplify: iters left: 4 (12 enodes) 1544785017.334 * * [misc]simplify: iters left: 3 (18 enodes) 1544785017.337 * * [misc]simplify: iters left: 2 (20 enodes) 1544785017.341 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544785017.341 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544785017.341 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1544785017.341 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544785017.342 * * [misc]simplify: iters left: 5 (6 enodes) 1544785017.343 * * [misc]simplify: iters left: 4 (8 enodes) 1544785017.345 * * [misc]simplify: iters left: 3 (11 enodes) 1544785017.347 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544785017.347 * [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))) 1544785017.347 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1544785017.347 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544785017.347 * * [misc]simplify: iters left: 5 (6 enodes) 1544785017.349 * * [misc]simplify: iters left: 4 (8 enodes) 1544785017.350 * * [misc]simplify: iters left: 3 (11 enodes) 1544785017.352 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544785017.352 * [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))) 1544785017.352 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1544785017.352 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544785017.352 * * [misc]simplify: iters left: 4 (5 enodes) 1544785017.353 * * [misc]simplify: iters left: 3 (7 enodes) 1544785017.355 * * [misc]simplify: iters left: 2 (10 enodes) 1544785017.357 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544785017.357 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544785017.357 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1544785017.357 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544785017.357 * * [misc]simplify: iters left: 5 (9 enodes) 1544785017.360 * * [misc]simplify: iters left: 4 (15 enodes) 1544785017.363 * * [misc]simplify: iters left: 3 (21 enodes) 1544785017.367 * * [misc]simplify: iters left: 2 (22 enodes) 1544785017.371 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544785017.371 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544785017.371 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1544785017.371 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544785017.371 * * [misc]simplify: iters left: 5 (9 enodes) 1544785017.374 * * [misc]simplify: iters left: 4 (15 enodes) 1544785017.377 * * [misc]simplify: iters left: 3 (21 enodes) 1544785017.380 * * [misc]simplify: iters left: 2 (22 enodes) 1544785017.384 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544785017.384 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544785017.384 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1544785017.384 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544785017.384 * * [misc]simplify: iters left: 5 (7 enodes) 1544785017.386 * * [misc]simplify: iters left: 4 (9 enodes) 1544785017.388 * * [misc]simplify: iters left: 3 (12 enodes) 1544785017.392 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544785017.392 * [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))) 1544785017.392 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1544785017.392 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1544785017.392 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1544785017.392 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1544785017.392 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1544785017.392 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1544785017.393 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1544785017.394 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1544785017.394 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785017.395 * * [misc]simplify: iters left: 6 (14 enodes) 1544785017.402 * * [misc]simplify: iters left: 5 (27 enodes) 1544785017.417 * * [misc]simplify: iters left: 4 (55 enodes) 1544785017.454 * * [misc]simplify: iters left: 3 (144 enodes) 1544785017.659 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544785017.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544785017.659 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1544785017.660 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785017.661 * * [misc]simplify: iters left: 6 (14 enodes) 1544785017.668 * * [misc]simplify: iters left: 5 (27 enodes) 1544785017.682 * * [misc]simplify: iters left: 4 (55 enodes) 1544785017.717 * * [misc]simplify: iters left: 3 (144 enodes) 1544785017.876 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544785017.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544785017.876 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1544785017.877 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544785017.878 * * [misc]simplify: iters left: 6 (14 enodes) 1544785017.885 * * [misc]simplify: iters left: 5 (24 enodes) 1544785017.897 * * [misc]simplify: iters left: 4 (43 enodes) 1544785017.917 * * [misc]simplify: iters left: 3 (73 enodes) 1544785017.976 * * [misc]simplify: iters left: 2 (220 enodes) 1544785018.281 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785018.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785018.281 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1544785018.281 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1544785018.281 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1544785018.281 * [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))) 1544785018.283 * * [misc]simplify: iters left: 6 (16 enodes) 1544785018.287 * * [misc]simplify: iters left: 5 (31 enodes) 1544785018.296 * * [misc]simplify: iters left: 4 (67 enodes) 1544785018.313 * * [misc]simplify: iters left: 3 (124 enodes) 1544785018.366 * * [misc]simplify: iters left: 2 (195 enodes) 1544785018.422 * * [misc]simplify: iters left: 1 (309 enodes) 1544785018.610 * [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)))) 1544785018.610 * [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)))))) 1544785018.610 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1544785018.610 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1544785018.610 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1544785018.610 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1544785018.610 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1544785018.611 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785018.612 * * [misc]simplify: iters left: 6 (12 enodes) 1544785018.614 * * [misc]simplify: iters left: 5 (19 enodes) 1544785018.619 * * [misc]simplify: iters left: 4 (25 enodes) 1544785018.623 * * [misc]simplify: iters left: 3 (26 enodes) 1544785018.628 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785018.628 * [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))))) 1544785018.628 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544785018.629 * * [misc]simplify: iters left: 6 (12 enodes) 1544785018.631 * * [misc]simplify: iters left: 5 (18 enodes) 1544785018.635 * * [misc]simplify: iters left: 4 (24 enodes) 1544785018.638 * * [misc]simplify: iters left: 3 (25 enodes) 1544785018.643 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544785018.643 * [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))))) 1544785018.643 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1544785018.643 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544785018.644 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.649 * * [misc]simplify: iters left: 5 (16 enodes) 1544785018.655 * * [misc]simplify: iters left: 4 (22 enodes) 1544785018.661 * * [misc]simplify: iters left: 3 (24 enodes) 1544785018.665 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544785018.665 * [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))))) 1544785018.665 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544785018.666 * * [misc]simplify: iters left: 6 (12 enodes) 1544785018.669 * * [misc]simplify: iters left: 5 (18 enodes) 1544785018.672 * * [misc]simplify: iters left: 4 (24 enodes) 1544785018.676 * * [misc]simplify: iters left: 3 (25 enodes) 1544785018.681 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544785018.681 * [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))))) 1544785018.681 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1544785018.681 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544785018.682 * * [misc]simplify: iters left: 6 (9 enodes) 1544785018.684 * * [misc]simplify: iters left: 5 (16 enodes) 1544785018.689 * * [misc]simplify: iters left: 4 (24 enodes) 1544785018.693 * * [misc]simplify: iters left: 3 (26 enodes) 1544785018.696 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544785018.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544785018.697 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544785018.697 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.700 * * [misc]simplify: iters left: 5 (17 enodes) 1544785018.703 * * [misc]simplify: iters left: 4 (23 enodes) 1544785018.711 * * [misc]simplify: iters left: 3 (24 enodes) 1544785018.720 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544785018.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544785018.720 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1544785018.720 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785018.722 * * [misc]simplify: iters left: 6 (12 enodes) 1544785018.727 * * [misc]simplify: iters left: 5 (19 enodes) 1544785018.735 * * [misc]simplify: iters left: 4 (25 enodes) 1544785018.743 * * [misc]simplify: iters left: 3 (26 enodes) 1544785018.752 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785018.752 * [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))))) 1544785018.752 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544785018.755 * * [misc]simplify: iters left: 6 (12 enodes) 1544785018.760 * * [misc]simplify: iters left: 5 (18 enodes) 1544785018.768 * * [misc]simplify: iters left: 4 (24 enodes) 1544785018.776 * * [misc]simplify: iters left: 3 (25 enodes) 1544785018.784 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544785018.784 * [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))))) 1544785018.784 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1544785018.785 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544785018.786 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.790 * * [misc]simplify: iters left: 5 (16 enodes) 1544785018.796 * * [misc]simplify: iters left: 4 (22 enodes) 1544785018.804 * * [misc]simplify: iters left: 3 (24 enodes) 1544785018.813 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544785018.813 * [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))))) 1544785018.814 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544785018.815 * * [misc]simplify: iters left: 6 (12 enodes) 1544785018.821 * * [misc]simplify: iters left: 5 (18 enodes) 1544785018.826 * * [misc]simplify: iters left: 4 (24 enodes) 1544785018.831 * * [misc]simplify: iters left: 3 (25 enodes) 1544785018.837 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544785018.837 * [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))))) 1544785018.837 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1544785018.837 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544785018.837 * * [misc]simplify: iters left: 6 (9 enodes) 1544785018.840 * * [misc]simplify: iters left: 5 (16 enodes) 1544785018.844 * * [misc]simplify: iters left: 4 (24 enodes) 1544785018.848 * * [misc]simplify: iters left: 3 (26 enodes) 1544785018.852 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544785018.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544785018.852 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544785018.853 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.855 * * [misc]simplify: iters left: 5 (17 enodes) 1544785018.862 * * [misc]simplify: iters left: 4 (23 enodes) 1544785018.872 * * [misc]simplify: iters left: 3 (24 enodes) 1544785018.881 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544785018.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544785018.881 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1544785018.881 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785018.883 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.887 * * [misc]simplify: iters left: 5 (15 enodes) 1544785018.892 * * [misc]simplify: iters left: 4 (18 enodes) 1544785018.896 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785018.896 * [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))))) 1544785018.896 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785018.896 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.898 * * [misc]simplify: iters left: 5 (14 enodes) 1544785018.901 * * [misc]simplify: iters left: 4 (17 enodes) 1544785018.904 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785018.904 * [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))))) 1544785018.904 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1544785018.904 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785018.905 * * [misc]simplify: iters left: 6 (10 enodes) 1544785018.906 * * [misc]simplify: iters left: 5 (12 enodes) 1544785018.909 * * [misc]simplify: iters left: 4 (15 enodes) 1544785018.911 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785018.912 * [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))))) 1544785018.912 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785018.912 * * [misc]simplify: iters left: 6 (11 enodes) 1544785018.914 * * [misc]simplify: iters left: 5 (14 enodes) 1544785018.917 * * [misc]simplify: iters left: 4 (17 enodes) 1544785018.920 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785018.920 * [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))))) 1544785018.920 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1544785018.921 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544785018.921 * * [misc]simplify: iters left: 6 (9 enodes) 1544785018.923 * * [misc]simplify: iters left: 5 (13 enodes) 1544785018.928 * * [misc]simplify: iters left: 4 (18 enodes) 1544785018.933 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544785018.933 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785018.934 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785018.935 * * [misc]simplify: iters left: 6 (10 enodes) 1544785018.938 * * [misc]simplify: iters left: 5 (13 enodes) 1544785018.944 * * [misc]simplify: iters left: 4 (16 enodes) 1544785018.950 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785018.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785018.950 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1544785018.950 * [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)))) 1544785018.952 * * [misc]simplify: iters left: 6 (16 enodes) 1544785018.956 * * [misc]simplify: iters left: 5 (28 enodes) 1544785018.962 * * [misc]simplify: iters left: 4 (46 enodes) 1544785018.972 * * [misc]simplify: iters left: 3 (50 enodes) 1544785018.979 * * [misc]simplify: iters left: 2 (53 enodes) 1544785018.990 * [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)))) 1544785018.990 * [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))))) 1544785018.990 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785018.991 * * [misc]simplify: iters left: 6 (14 enodes) 1544785018.994 * * [misc]simplify: iters left: 5 (20 enodes) 1544785018.998 * * [misc]simplify: iters left: 4 (29 enodes) 1544785019.003 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.008 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785019.008 * [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))))) 1544785019.008 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1544785019.009 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544785019.009 * * [misc]simplify: iters left: 6 (15 enodes) 1544785019.013 * * [misc]simplify: iters left: 5 (23 enodes) 1544785019.018 * * [misc]simplify: iters left: 4 (34 enodes) 1544785019.023 * * [misc]simplify: iters left: 3 (37 enodes) 1544785019.038 * [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)))))) 1544785019.038 * [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))))) 1544785019.038 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785019.042 * * [misc]simplify: iters left: 6 (14 enodes) 1544785019.048 * * [misc]simplify: iters left: 5 (20 enodes) 1544785019.056 * * [misc]simplify: iters left: 4 (29 enodes) 1544785019.064 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.074 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785019.074 * [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))))) 1544785019.074 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1544785019.074 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544785019.075 * * [misc]simplify: iters left: 6 (14 enodes) 1544785019.082 * * [misc]simplify: iters left: 5 (24 enodes) 1544785019.094 * * [misc]simplify: iters left: 4 (39 enodes) 1544785019.109 * * [misc]simplify: iters left: 3 (54 enodes) 1544785019.127 * * [misc]simplify: iters left: 2 (80 enodes) 1544785019.153 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544785019.153 * [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)))) 1544785019.154 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544785019.155 * * [misc]simplify: iters left: 6 (13 enodes) 1544785019.160 * * [misc]simplify: iters left: 5 (19 enodes) 1544785019.169 * * [misc]simplify: iters left: 4 (28 enodes) 1544785019.180 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.187 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544785019.187 * [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)))) 1544785019.187 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1544785019.187 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785019.188 * * [misc]simplify: iters left: 6 (15 enodes) 1544785019.192 * * [misc]simplify: iters left: 5 (23 enodes) 1544785019.196 * * [misc]simplify: iters left: 4 (32 enodes) 1544785019.202 * * [misc]simplify: iters left: 3 (34 enodes) 1544785019.209 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785019.209 * [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))))) 1544785019.209 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785019.210 * * [misc]simplify: iters left: 6 (14 enodes) 1544785019.216 * * [misc]simplify: iters left: 5 (20 enodes) 1544785019.224 * * [misc]simplify: iters left: 4 (29 enodes) 1544785019.233 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.243 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785019.243 * [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))))) 1544785019.243 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1544785019.243 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785019.245 * * [misc]simplify: iters left: 6 (14 enodes) 1544785019.250 * * [misc]simplify: iters left: 5 (20 enodes) 1544785019.258 * * [misc]simplify: iters left: 4 (29 enodes) 1544785019.267 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.278 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785019.278 * [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))))) 1544785019.278 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785019.280 * * [misc]simplify: iters left: 6 (14 enodes) 1544785019.288 * * [misc]simplify: iters left: 5 (20 enodes) 1544785019.297 * * [misc]simplify: iters left: 4 (29 enodes) 1544785019.307 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.317 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785019.317 * [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))))) 1544785019.317 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1544785019.318 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544785019.319 * * [misc]simplify: iters left: 6 (13 enodes) 1544785019.325 * * [misc]simplify: iters left: 5 (21 enodes) 1544785019.334 * * [misc]simplify: iters left: 4 (32 enodes) 1544785019.343 * * [misc]simplify: iters left: 3 (33 enodes) 1544785019.353 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544785019.353 * [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)))) 1544785019.353 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544785019.354 * * [misc]simplify: iters left: 6 (13 enodes) 1544785019.360 * * [misc]simplify: iters left: 5 (19 enodes) 1544785019.368 * * [misc]simplify: iters left: 4 (28 enodes) 1544785019.377 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.388 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544785019.388 * [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)))) 1544785019.388 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1544785019.388 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785019.389 * * [misc]simplify: iters left: 6 (6 enodes) 1544785019.392 * * [misc]simplify: iters left: 5 (10 enodes) 1544785019.395 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544785019.396 * [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))))) 1544785019.396 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785019.397 * * [misc]simplify: iters left: 6 (13 enodes) 1544785019.402 * * [misc]simplify: iters left: 5 (19 enodes) 1544785019.407 * * [misc]simplify: iters left: 4 (28 enodes) 1544785019.413 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.418 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785019.418 * [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))))) 1544785019.418 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1544785019.418 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544785019.419 * * [misc]simplify: iters left: 4 (5 enodes) 1544785019.420 * * [misc]simplify: iters left: 3 (7 enodes) 1544785019.421 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544785019.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544785019.421 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785019.422 * * [misc]simplify: iters left: 6 (13 enodes) 1544785019.425 * * [misc]simplify: iters left: 5 (19 enodes) 1544785019.429 * * [misc]simplify: iters left: 4 (28 enodes) 1544785019.433 * * [misc]simplify: iters left: 3 (30 enodes) 1544785019.438 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785019.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544785019.438 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1544785019.439 * [enter]simplify: Simplifying (/ 1 1) 1544785019.439 * * [misc]simplify: iters left: 2 (2 enodes) 1544785019.439 * * [misc]simplify: iters left: 1 (4 enodes) 1544785019.440 * [exit]simplify: Simplified to 1 1544785019.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544785019.440 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544785019.440 * * [misc]simplify: iters left: 6 (12 enodes) 1544785019.443 * * [misc]simplify: iters left: 5 (18 enodes) 1544785019.447 * * [misc]simplify: iters left: 4 (27 enodes) 1544785019.455 * * [misc]simplify: iters left: 3 (29 enodes) 1544785019.465 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544785019.465 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544785019.466 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1544785019.466 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1544785019.466 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1544785019.466 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1544785019.466 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544785019.466 * * [misc]simplify: iters left: 2 (3 enodes) 1544785019.468 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544785019.468 * [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)))) 1544785019.468 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1544785019.468 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544785019.468 * * [misc]simplify: iters left: 2 (3 enodes) 1544785019.470 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544785019.470 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544785019.470 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1544785019.470 * [enter]simplify: Simplifying (sqrt k) 1544785019.471 * * [misc]simplify: iters left: 1 (2 enodes) 1544785019.471 * [exit]simplify: Simplified to (sqrt k) 1544785019.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544785019.471 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1544785019.472 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544785019.472 * * [misc]simplify: iters left: 5 (7 enodes) 1544785019.476 * * [misc]simplify: iters left: 4 (12 enodes) 1544785019.480 * * [misc]simplify: iters left: 3 (18 enodes) 1544785019.485 * * [misc]simplify: iters left: 2 (20 enodes) 1544785019.488 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544785019.488 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544785019.489 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1544785019.489 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544785019.489 * * [misc]simplify: iters left: 5 (7 enodes) 1544785019.491 * * [misc]simplify: iters left: 4 (12 enodes) 1544785019.494 * * [misc]simplify: iters left: 3 (18 enodes) 1544785019.497 * * [misc]simplify: iters left: 2 (20 enodes) 1544785019.502 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544785019.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544785019.502 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1544785019.502 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544785019.503 * * [misc]simplify: iters left: 5 (7 enodes) 1544785019.504 * * [misc]simplify: iters left: 4 (9 enodes) 1544785019.506 * * [misc]simplify: iters left: 3 (12 enodes) 1544785019.509 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544785019.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544785019.509 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1544785019.509 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544785019.510 * * [misc]simplify: iters left: 6 (12 enodes) 1544785019.513 * * [misc]simplify: iters left: 5 (18 enodes) 1544785019.518 * * [misc]simplify: iters left: 4 (27 enodes) 1544785019.523 * * [misc]simplify: iters left: 3 (29 enodes) 1544785019.528 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544785019.528 * [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))))))) 1544785019.528 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1544785019.528 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544785019.529 * * [misc]simplify: iters left: 6 (11 enodes) 1544785019.531 * * [misc]simplify: iters left: 5 (17 enodes) 1544785019.535 * * [misc]simplify: iters left: 4 (26 enodes) 1544785019.543 * * [misc]simplify: iters left: 3 (27 enodes) 1544785019.552 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544785019.553 * [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))))))) 1544785019.553 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1544785019.553 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1544785019.553 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544785019.553 * * [misc]simplify: iters left: 5 (7 enodes) 1544785019.557 * * [misc]simplify: iters left: 4 (12 enodes) 1544785019.561 * * [misc]simplify: iters left: 3 (18 enodes) 1544785019.564 * * [misc]simplify: iters left: 2 (20 enodes) 1544785019.567 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544785019.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544785019.567 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1544785019.567 * [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))))) 1544785019.570 * * [misc]simplify: iters left: 6 (37 enodes) 1544785019.586 * * [misc]simplify: iters left: 5 (108 enodes) 1544785019.645 * * [misc]simplify: iters left: 4 (368 enodes) 1544785020.291 * [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)))))) 1544785020.291 * [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))) 1544785020.291 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1544785020.292 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544785020.293 * * [misc]simplify: iters left: 6 (15 enodes) 1544785020.298 * * [misc]simplify: iters left: 5 (33 enodes) 1544785020.307 * * [misc]simplify: iters left: 4 (64 enodes) 1544785020.338 * * [misc]simplify: iters left: 3 (179 enodes) 1544785020.537 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544785020.537 * [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))) 1544785020.537 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1544785020.537 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544785020.539 * * [misc]simplify: iters left: 6 (15 enodes) 1544785020.548 * * [misc]simplify: iters left: 5 (30 enodes) 1544785020.570 * * [misc]simplify: iters left: 4 (65 enodes) 1544785020.601 * * [misc]simplify: iters left: 3 (208 enodes) 1544785020.903 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1544785020.903 * [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))) 1544785020.903 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1544785020.904 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544785020.904 * * [misc]simplify: iters left: 4 (5 enodes) 1544785020.907 * * [misc]simplify: iters left: 3 (9 enodes) 1544785020.911 * * [misc]simplify: iters left: 2 (15 enodes) 1544785020.916 * * [misc]simplify: iters left: 1 (17 enodes) 1544785020.922 * [exit]simplify: Simplified to (* (* PI n) 2) 1544785020.922 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785020.922 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1544785020.922 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544785020.923 * * [misc]simplify: iters left: 4 (5 enodes) 1544785020.926 * * [misc]simplify: iters left: 3 (9 enodes) 1544785020.930 * * [misc]simplify: iters left: 2 (15 enodes) 1544785020.933 * * [misc]simplify: iters left: 1 (17 enodes) 1544785020.936 * [exit]simplify: Simplified to (* (* PI n) 2) 1544785020.936 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785020.936 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1544785020.936 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544785020.936 * * [misc]simplify: iters left: 4 (5 enodes) 1544785020.938 * * [misc]simplify: iters left: 3 (9 enodes) 1544785020.940 * * [misc]simplify: iters left: 2 (15 enodes) 1544785020.943 * * [misc]simplify: iters left: 1 (17 enodes) 1544785020.945 * [exit]simplify: Simplified to (* (* PI n) 2) 1544785020.945 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785020.945 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1544785020.946 * [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)))))))))))))))))))))) 1544785020.946 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785020.946 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1544785020.946 * [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)))))))) 1544785020.946 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785020.946 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1544785020.946 * [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))))))))))) 1544785020.946 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785020.946 * * * [misc]progress: adding candidates to table 1544785022.661 * * [misc]progress: iteration 2 / 4 1544785022.661 * * * [misc]progress: picking best candidate 1544785022.778 * * * * [misc]pick: Picked # 1544785022.778 * * * [misc]progress: localizing error 1544785022.831 * * * [misc]progress: generating rewritten candidates 1544785022.831 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1544785022.853 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) 1544785022.871 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1544785022.885 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544785022.973 * * * [misc]progress: generating series expansions 1544785022.973 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1544785022.974 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1544785022.974 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1544785022.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544785022.974 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544785022.974 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544785022.974 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544785022.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785022.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785022.974 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544785022.974 * [misc]taylor: Taking taylor expansion of 1 in k 1544785022.975 * [misc]backup-simplify: Simplify 1 into 1 1544785022.975 * [misc]taylor: Taking taylor expansion of k in k 1544785022.975 * [misc]backup-simplify: Simplify 0 into 0 1544785022.975 * [misc]backup-simplify: Simplify 1 into 1 1544785022.975 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544785022.975 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544785022.975 * [misc]taylor: Taking taylor expansion of 2 in k 1544785022.975 * [misc]backup-simplify: Simplify 2 into 2 1544785022.975 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544785022.975 * [misc]taylor: Taking taylor expansion of n in k 1544785022.975 * [misc]backup-simplify: Simplify n into n 1544785022.975 * [misc]taylor: Taking taylor expansion of PI in k 1544785022.975 * [misc]backup-simplify: Simplify PI into PI 1544785022.975 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544785022.975 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544785022.975 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544785022.975 * [misc]backup-simplify: Simplify (- 0) into 0 1544785022.976 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785022.976 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785022.976 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544785022.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544785022.976 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544785022.976 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544785022.976 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544785022.976 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544785022.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785022.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785022.977 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544785022.977 * [misc]taylor: Taking taylor expansion of 1 in n 1544785022.977 * [misc]backup-simplify: Simplify 1 into 1 1544785022.977 * [misc]taylor: Taking taylor expansion of k in n 1544785022.977 * [misc]backup-simplify: Simplify k into k 1544785022.977 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785022.977 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785022.977 * [misc]taylor: Taking taylor expansion of 2 in n 1544785022.977 * [misc]backup-simplify: Simplify 2 into 2 1544785022.977 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785022.977 * [misc]taylor: Taking taylor expansion of n in n 1544785022.977 * [misc]backup-simplify: Simplify 0 into 0 1544785022.977 * [misc]backup-simplify: Simplify 1 into 1 1544785022.977 * [misc]taylor: Taking taylor expansion of PI in n 1544785022.977 * [misc]backup-simplify: Simplify PI into PI 1544785022.977 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785022.977 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785022.978 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785022.979 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785022.979 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785022.980 * [misc]backup-simplify: Simplify (- k) into (- k) 1544785022.980 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544785022.980 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544785022.980 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785022.981 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544785022.982 * [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)))))) 1544785022.982 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785022.982 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785022.982 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of 1 in n 1544785022.982 * [misc]backup-simplify: Simplify 1 into 1 1544785022.982 * [misc]taylor: Taking taylor expansion of k in n 1544785022.982 * [misc]backup-simplify: Simplify k into k 1544785022.982 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785022.982 * [misc]taylor: Taking taylor expansion of 2 in n 1544785022.982 * [misc]backup-simplify: Simplify 2 into 2 1544785022.982 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785022.983 * [misc]taylor: Taking taylor expansion of n in n 1544785022.983 * [misc]backup-simplify: Simplify 0 into 0 1544785022.983 * [misc]backup-simplify: Simplify 1 into 1 1544785022.983 * [misc]taylor: Taking taylor expansion of PI in n 1544785022.983 * [misc]backup-simplify: Simplify PI into PI 1544785022.983 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785022.983 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785022.984 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785022.985 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785022.985 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785022.985 * [misc]backup-simplify: Simplify (- k) into (- k) 1544785022.985 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544785022.985 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544785022.986 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785022.987 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544785022.988 * [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)))))) 1544785022.988 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785022.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785022.988 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of 1 in k 1544785022.988 * [misc]backup-simplify: Simplify 1 into 1 1544785022.988 * [misc]taylor: Taking taylor expansion of k in k 1544785022.988 * [misc]backup-simplify: Simplify 0 into 0 1544785022.988 * [misc]backup-simplify: Simplify 1 into 1 1544785022.988 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of n in k 1544785022.988 * [misc]backup-simplify: Simplify n into n 1544785022.988 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785022.988 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544785022.988 * [misc]taylor: Taking taylor expansion of 2 in k 1544785022.988 * [misc]backup-simplify: Simplify 2 into 2 1544785022.988 * [misc]taylor: Taking taylor expansion of PI in k 1544785022.988 * [misc]backup-simplify: Simplify PI into PI 1544785022.989 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785022.989 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785022.989 * [misc]backup-simplify: Simplify (- 0) into 0 1544785022.989 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785022.990 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785022.991 * [misc]backup-simplify: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1544785022.991 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544785022.992 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544785022.993 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544785022.994 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785022.995 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544785022.998 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785022.999 * [misc]backup-simplify: Simplify (- 0) into 0 1544785022.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785022.999 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1544785023.000 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.001 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544785023.003 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785023.003 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.003 * [misc]backup-simplify: Simplify 0 into 0 1544785023.003 * [misc]backup-simplify: Simplify 0 into 0 1544785023.004 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544785023.004 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785023.008 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785023.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.009 * [misc]backup-simplify: Simplify (- 1) into -1 1544785023.009 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544785023.010 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1544785023.011 * [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))))) 1544785023.013 * [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))))))) 1544785023.015 * [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))))))) 1544785023.017 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544785023.024 * [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 1544785023.025 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1544785023.026 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.027 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785023.030 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785023.030 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.030 * [misc]backup-simplify: Simplify 0 into 0 1544785023.030 * [misc]backup-simplify: Simplify 0 into 0 1544785023.030 * [misc]backup-simplify: Simplify 0 into 0 1544785023.032 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544785023.033 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785023.039 * [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 1544785023.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.040 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.040 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.041 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785023.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544785023.046 * [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))))) 1544785023.051 * [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))))) 1544785023.060 * [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))))) 1544785023.060 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1544785023.060 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1544785023.060 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544785023.060 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.061 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.061 * [misc]backup-simplify: Simplify 1 into 1 1544785023.061 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of k in k 1544785023.061 * [misc]backup-simplify: Simplify 0 into 0 1544785023.061 * [misc]backup-simplify: Simplify 1 into 1 1544785023.061 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.061 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of 2 in k 1544785023.061 * [misc]backup-simplify: Simplify 2 into 2 1544785023.061 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785023.061 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.061 * [misc]backup-simplify: Simplify PI into PI 1544785023.061 * [misc]taylor: Taking taylor expansion of n in k 1544785023.062 * [misc]backup-simplify: Simplify n into n 1544785023.062 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785023.062 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544785023.062 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544785023.062 * [misc]backup-simplify: Simplify (- 1) into -1 1544785023.063 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544785023.063 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544785023.063 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544785023.063 * [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)))))) 1544785023.063 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544785023.063 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785023.063 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785023.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544785023.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.064 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544785023.064 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.064 * [misc]backup-simplify: Simplify 1 into 1 1544785023.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.064 * [misc]taylor: Taking taylor expansion of k in n 1544785023.064 * [misc]backup-simplify: Simplify k into k 1544785023.064 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.064 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785023.064 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.064 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.064 * [misc]backup-simplify: Simplify 2 into 2 1544785023.064 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.064 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.064 * [misc]backup-simplify: Simplify PI into PI 1544785023.064 * [misc]taylor: Taking taylor expansion of n in n 1544785023.064 * [misc]backup-simplify: Simplify 0 into 0 1544785023.064 * [misc]backup-simplify: Simplify 1 into 1 1544785023.065 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.065 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.065 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.065 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544785023.066 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544785023.066 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544785023.066 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.067 * [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)))) 1544785023.068 * [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))))) 1544785023.068 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.068 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.068 * [misc]backup-simplify: Simplify 1 into 1 1544785023.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of k in n 1544785023.068 * [misc]backup-simplify: Simplify k into k 1544785023.068 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.068 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785023.068 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.069 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.069 * [misc]backup-simplify: Simplify 2 into 2 1544785023.069 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.069 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.069 * [misc]backup-simplify: Simplify PI into PI 1544785023.069 * [misc]taylor: Taking taylor expansion of n in n 1544785023.069 * [misc]backup-simplify: Simplify 0 into 0 1544785023.069 * [misc]backup-simplify: Simplify 1 into 1 1544785023.069 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.069 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.070 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.070 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544785023.070 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544785023.070 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544785023.071 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.072 * [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)))) 1544785023.072 * [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))))) 1544785023.073 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.073 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.073 * [misc]backup-simplify: Simplify 1 into 1 1544785023.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of k in k 1544785023.073 * [misc]backup-simplify: Simplify 0 into 0 1544785023.073 * [misc]backup-simplify: Simplify 1 into 1 1544785023.073 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.073 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544785023.073 * [misc]taylor: Taking taylor expansion of 2 in k 1544785023.073 * [misc]backup-simplify: Simplify 2 into 2 1544785023.073 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.073 * [misc]backup-simplify: Simplify PI into PI 1544785023.074 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.074 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.074 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785023.074 * [misc]taylor: Taking taylor expansion of n in k 1544785023.074 * [misc]backup-simplify: Simplify n into n 1544785023.074 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785023.075 * [misc]backup-simplify: Simplify (- 1) into -1 1544785023.075 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544785023.075 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785023.075 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544785023.076 * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1544785023.077 * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544785023.078 * [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))))) 1544785023.078 * [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))))) 1544785023.080 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785023.080 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785023.088 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785023.088 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785023.089 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1544785023.090 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.091 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544785023.092 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785023.092 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.093 * [misc]backup-simplify: Simplify 0 into 0 1544785023.093 * [misc]backup-simplify: Simplify 0 into 0 1544785023.093 * [misc]backup-simplify: Simplify 0 into 0 1544785023.094 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.095 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785023.102 * [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 1544785023.102 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785023.102 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1544785023.104 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.105 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544785023.107 * [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 1544785023.108 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.108 * [misc]backup-simplify: Simplify 0 into 0 1544785023.108 * [misc]backup-simplify: Simplify 0 into 0 1544785023.108 * [misc]backup-simplify: Simplify 0 into 0 1544785023.108 * [misc]backup-simplify: Simplify 0 into 0 1544785023.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.111 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.122 * [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 1544785023.122 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785023.122 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.122 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1544785023.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.126 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544785023.130 * [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 1544785023.130 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.130 * [misc]backup-simplify: Simplify 0 into 0 1544785023.130 * [misc]backup-simplify: Simplify 0 into 0 1544785023.131 * [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)))))) 1544785023.132 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1544785023.132 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1544785023.132 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544785023.132 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544785023.132 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544785023.132 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544785023.132 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.132 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544785023.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.132 * [misc]taylor: Taking taylor expansion of k in k 1544785023.132 * [misc]backup-simplify: Simplify 0 into 0 1544785023.132 * [misc]backup-simplify: Simplify 1 into 1 1544785023.132 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.132 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.132 * [misc]backup-simplify: Simplify 1 into 1 1544785023.133 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544785023.133 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544785023.133 * [misc]taylor: Taking taylor expansion of -2 in k 1544785023.133 * [misc]backup-simplify: Simplify -2 into -2 1544785023.133 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785023.133 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.133 * [misc]backup-simplify: Simplify PI into PI 1544785023.133 * [misc]taylor: Taking taylor expansion of n in k 1544785023.133 * [misc]backup-simplify: Simplify n into n 1544785023.133 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785023.133 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544785023.133 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544785023.133 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785023.134 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785023.134 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544785023.134 * [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)))) 1544785023.134 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544785023.134 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544785023.134 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544785023.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544785023.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.134 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544785023.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.134 * [misc]taylor: Taking taylor expansion of k in n 1544785023.134 * [misc]backup-simplify: Simplify k into k 1544785023.134 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.134 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.135 * [misc]backup-simplify: Simplify 1 into 1 1544785023.135 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785023.135 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.135 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.135 * [misc]backup-simplify: Simplify -2 into -2 1544785023.135 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.135 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.135 * [misc]backup-simplify: Simplify PI into PI 1544785023.135 * [misc]taylor: Taking taylor expansion of n in n 1544785023.135 * [misc]backup-simplify: Simplify 0 into 0 1544785023.135 * [misc]backup-simplify: Simplify 1 into 1 1544785023.135 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.136 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.136 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.136 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544785023.136 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544785023.137 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.138 * [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)))) 1544785023.139 * [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))))) 1544785023.139 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.139 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of k in n 1544785023.139 * [misc]backup-simplify: Simplify k into k 1544785023.139 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.139 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.139 * [misc]backup-simplify: Simplify 1 into 1 1544785023.139 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.139 * [misc]backup-simplify: Simplify -2 into -2 1544785023.139 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.139 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.139 * [misc]backup-simplify: Simplify PI into PI 1544785023.139 * [misc]taylor: Taking taylor expansion of n in n 1544785023.139 * [misc]backup-simplify: Simplify 0 into 0 1544785023.139 * [misc]backup-simplify: Simplify 1 into 1 1544785023.140 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.140 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.141 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.141 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544785023.141 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544785023.142 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.143 * [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)))) 1544785023.144 * [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))))) 1544785023.144 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.144 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of k in k 1544785023.144 * [misc]backup-simplify: Simplify 0 into 0 1544785023.144 * [misc]backup-simplify: Simplify 1 into 1 1544785023.144 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.144 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.144 * [misc]backup-simplify: Simplify 1 into 1 1544785023.144 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544785023.144 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544785023.145 * [misc]taylor: Taking taylor expansion of -2 in k 1544785023.145 * [misc]backup-simplify: Simplify -2 into -2 1544785023.145 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.145 * [misc]backup-simplify: Simplify PI into PI 1544785023.145 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.146 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.146 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785023.146 * [misc]taylor: Taking taylor expansion of n in k 1544785023.146 * [misc]backup-simplify: Simplify n into n 1544785023.146 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785023.146 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785023.146 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785023.147 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544785023.147 * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1544785023.148 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544785023.149 * [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))))) 1544785023.150 * [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))))) 1544785023.151 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785023.151 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544785023.155 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544785023.155 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785023.155 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.155 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1544785023.156 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.157 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544785023.158 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785023.159 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.159 * [misc]backup-simplify: Simplify 0 into 0 1544785023.159 * [misc]backup-simplify: Simplify 0 into 0 1544785023.159 * [misc]backup-simplify: Simplify 0 into 0 1544785023.160 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.161 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785023.167 * [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 1544785023.168 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785023.168 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.168 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1544785023.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.170 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544785023.173 * [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 1544785023.173 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.173 * [misc]backup-simplify: Simplify 0 into 0 1544785023.173 * [misc]backup-simplify: Simplify 0 into 0 1544785023.173 * [misc]backup-simplify: Simplify 0 into 0 1544785023.173 * [misc]backup-simplify: Simplify 0 into 0 1544785023.175 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.177 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.186 * [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 1544785023.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785023.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 1544785023.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.189 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544785023.192 * [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 1544785023.192 * [misc]taylor: Taking taylor expansion of 0 in k 1544785023.192 * [misc]backup-simplify: Simplify 0 into 0 1544785023.192 * [misc]backup-simplify: Simplify 0 into 0 1544785023.193 * [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)))))) 1544785023.194 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) 1544785023.194 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544785023.194 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544785023.194 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785023.194 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.194 * [misc]backup-simplify: Simplify 2 into 2 1544785023.194 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.194 * [misc]taylor: Taking taylor expansion of n in n 1544785023.194 * [misc]backup-simplify: Simplify 0 into 0 1544785023.194 * [misc]backup-simplify: Simplify 1 into 1 1544785023.194 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.195 * [misc]backup-simplify: Simplify PI into PI 1544785023.195 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785023.195 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.195 * [misc]backup-simplify: Simplify 2 into 2 1544785023.195 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.195 * [misc]taylor: Taking taylor expansion of n in n 1544785023.195 * [misc]backup-simplify: Simplify 0 into 0 1544785023.195 * [misc]backup-simplify: Simplify 1 into 1 1544785023.195 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.195 * [misc]backup-simplify: Simplify PI into PI 1544785023.195 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.195 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785023.195 * [misc]backup-simplify: Simplify 0 into 0 1544785023.196 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.197 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785023.197 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.198 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785023.199 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544785023.199 * [misc]backup-simplify: Simplify 0 into 0 1544785023.201 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.203 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544785023.203 * [misc]backup-simplify: Simplify 0 into 0 1544785023.205 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785023.207 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544785023.207 * [misc]backup-simplify: Simplify 0 into 0 1544785023.210 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544785023.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544785023.213 * [misc]backup-simplify: Simplify 0 into 0 1544785023.217 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544785023.220 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544785023.220 * [misc]backup-simplify: Simplify 0 into 0 1544785023.225 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544785023.229 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544785023.230 * [misc]backup-simplify: Simplify 0 into 0 1544785023.230 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544785023.230 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 1544785023.230 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544785023.231 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.231 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.231 * [misc]backup-simplify: Simplify 2 into 2 1544785023.231 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.231 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.231 * [misc]backup-simplify: Simplify PI into PI 1544785023.231 * [misc]taylor: Taking taylor expansion of n in n 1544785023.231 * [misc]backup-simplify: Simplify 0 into 0 1544785023.231 * [misc]backup-simplify: Simplify 1 into 1 1544785023.231 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.231 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.231 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.231 * [misc]backup-simplify: Simplify 2 into 2 1544785023.231 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.231 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.231 * [misc]backup-simplify: Simplify PI into PI 1544785023.231 * [misc]taylor: Taking taylor expansion of n in n 1544785023.231 * [misc]backup-simplify: Simplify 0 into 0 1544785023.231 * [misc]backup-simplify: Simplify 1 into 1 1544785023.232 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.232 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.232 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.234 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785023.234 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785023.234 * [misc]backup-simplify: Simplify 0 into 0 1544785023.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.237 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785023.237 * [misc]backup-simplify: Simplify 0 into 0 1544785023.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.240 * [misc]backup-simplify: Simplify 0 into 0 1544785023.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785023.247 * [misc]backup-simplify: Simplify 0 into 0 1544785023.249 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.252 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544785023.252 * [misc]backup-simplify: Simplify 0 into 0 1544785023.255 * [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 1544785023.258 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544785023.258 * [misc]backup-simplify: Simplify 0 into 0 1544785023.259 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544785023.259 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 1544785023.259 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544785023.259 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.259 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.259 * [misc]backup-simplify: Simplify -2 into -2 1544785023.259 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.259 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.259 * [misc]backup-simplify: Simplify PI into PI 1544785023.259 * [misc]taylor: Taking taylor expansion of n in n 1544785023.259 * [misc]backup-simplify: Simplify 0 into 0 1544785023.259 * [misc]backup-simplify: Simplify 1 into 1 1544785023.260 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.260 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.260 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.260 * [misc]backup-simplify: Simplify -2 into -2 1544785023.260 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.260 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.260 * [misc]backup-simplify: Simplify PI into PI 1544785023.260 * [misc]taylor: Taking taylor expansion of n in n 1544785023.260 * [misc]backup-simplify: Simplify 0 into 0 1544785023.260 * [misc]backup-simplify: Simplify 1 into 1 1544785023.260 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.261 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.261 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.262 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785023.263 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544785023.263 * [misc]backup-simplify: Simplify 0 into 0 1544785023.264 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.265 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544785023.266 * [misc]backup-simplify: Simplify 0 into 0 1544785023.267 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.269 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.269 * [misc]backup-simplify: Simplify 0 into 0 1544785023.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.273 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544785023.273 * [misc]backup-simplify: Simplify 0 into 0 1544785023.276 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.279 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544785023.279 * [misc]backup-simplify: Simplify 0 into 0 1544785023.282 * [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 1544785023.286 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544785023.286 * [misc]backup-simplify: Simplify 0 into 0 1544785023.286 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544785023.286 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1544785023.287 * [misc]backup-simplify: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 1544785023.287 * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 1544785023.287 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785023.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.287 * [misc]taylor: Taking taylor expansion of k in k 1544785023.287 * [misc]backup-simplify: Simplify 0 into 0 1544785023.287 * [misc]backup-simplify: Simplify 1 into 1 1544785023.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.288 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.288 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.288 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785023.288 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.288 * [misc]taylor: Taking taylor expansion of k in k 1544785023.288 * [misc]backup-simplify: Simplify 0 into 0 1544785023.288 * [misc]backup-simplify: Simplify 1 into 1 1544785023.288 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.289 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.289 * [misc]backup-simplify: Simplify 0 into 0 1544785023.289 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.289 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544785023.290 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785023.291 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.291 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.292 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785023.292 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.292 * [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)))))) 1544785023.292 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 1544785023.292 * [misc]approximate: Taking taylor expansion of (sqrt k) in (k) around 0 1544785023.293 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785023.293 * [misc]taylor: Taking taylor expansion of k in k 1544785023.293 * [misc]backup-simplify: Simplify 0 into 0 1544785023.293 * [misc]backup-simplify: Simplify 1 into 1 1544785023.293 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.293 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.293 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785023.293 * [misc]taylor: Taking taylor expansion of k in k 1544785023.293 * [misc]backup-simplify: Simplify 0 into 0 1544785023.293 * [misc]backup-simplify: Simplify 1 into 1 1544785023.294 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.294 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.294 * [misc]backup-simplify: Simplify 0 into 0 1544785023.294 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.295 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785023.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.296 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785023.296 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.296 * [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)))))))) 1544785023.296 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 1544785023.296 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 1544785023.297 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544785023.297 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785023.297 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785023.297 * [misc]taylor: Taking taylor expansion of -1 in k 1544785023.297 * [misc]backup-simplify: Simplify -1 into -1 1544785023.297 * [misc]taylor: Taking taylor expansion of k in k 1544785023.297 * [misc]backup-simplify: Simplify 0 into 0 1544785023.297 * [misc]backup-simplify: Simplify 1 into 1 1544785023.297 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785023.297 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.297 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785023.297 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544785023.297 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544785023.297 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785023.297 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785023.297 * [misc]taylor: Taking taylor expansion of -1 in k 1544785023.297 * [misc]backup-simplify: Simplify -1 into -1 1544785023.297 * [misc]taylor: Taking taylor expansion of k in k 1544785023.297 * [misc]backup-simplify: Simplify 0 into 0 1544785023.297 * [misc]backup-simplify: Simplify 1 into 1 1544785023.297 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785023.298 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.298 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785023.298 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544785023.298 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.298 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544785023.299 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785023.299 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1544785023.299 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544785023.300 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.300 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785023.301 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1544785023.301 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544785023.302 * [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))))) 1544785023.302 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544785023.302 * [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))) 1544785023.302 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 1544785023.302 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1544785023.302 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544785023.302 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544785023.302 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544785023.302 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544785023.302 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.302 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544785023.302 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.302 * [misc]backup-simplify: Simplify 1 into 1 1544785023.302 * [misc]taylor: Taking taylor expansion of k in n 1544785023.303 * [misc]backup-simplify: Simplify k into k 1544785023.303 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785023.303 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785023.303 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.303 * [misc]backup-simplify: Simplify 2 into 2 1544785023.303 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.303 * [misc]taylor: Taking taylor expansion of n in n 1544785023.303 * [misc]backup-simplify: Simplify 0 into 0 1544785023.303 * [misc]backup-simplify: Simplify 1 into 1 1544785023.303 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.303 * [misc]backup-simplify: Simplify PI into PI 1544785023.303 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.303 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785023.303 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.304 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785023.304 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.304 * [misc]backup-simplify: Simplify (- k) into (- k) 1544785023.304 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544785023.304 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544785023.305 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.305 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544785023.306 * [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)))))) 1544785023.306 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785023.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.306 * [misc]taylor: Taking taylor expansion of k in n 1544785023.306 * [misc]backup-simplify: Simplify k into k 1544785023.306 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.306 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785023.306 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785023.306 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785023.306 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544785023.306 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544785023.306 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544785023.306 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544785023.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544785023.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.306 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544785023.306 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.306 * [misc]backup-simplify: Simplify 1 into 1 1544785023.306 * [misc]taylor: Taking taylor expansion of k in k 1544785023.306 * [misc]backup-simplify: Simplify 0 into 0 1544785023.306 * [misc]backup-simplify: Simplify 1 into 1 1544785023.307 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544785023.307 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544785023.307 * [misc]taylor: Taking taylor expansion of 2 in k 1544785023.307 * [misc]backup-simplify: Simplify 2 into 2 1544785023.307 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544785023.307 * [misc]taylor: Taking taylor expansion of n in k 1544785023.307 * [misc]backup-simplify: Simplify n into n 1544785023.307 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.307 * [misc]backup-simplify: Simplify PI into PI 1544785023.307 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544785023.307 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544785023.307 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544785023.307 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.307 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785023.307 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785023.307 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544785023.307 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544785023.307 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of k in k 1544785023.308 * [misc]backup-simplify: Simplify 0 into 0 1544785023.308 * [misc]backup-simplify: Simplify 1 into 1 1544785023.308 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.308 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.308 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.308 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.308 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.308 * [misc]backup-simplify: Simplify 1 into 1 1544785023.308 * [misc]taylor: Taking taylor expansion of k in k 1544785023.308 * [misc]backup-simplify: Simplify 0 into 0 1544785023.308 * [misc]backup-simplify: Simplify 1 into 1 1544785023.308 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of 2 in k 1544785023.308 * [misc]backup-simplify: Simplify 2 into 2 1544785023.308 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544785023.308 * [misc]taylor: Taking taylor expansion of n in k 1544785023.308 * [misc]backup-simplify: Simplify n into n 1544785023.308 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.308 * [misc]backup-simplify: Simplify PI into PI 1544785023.309 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544785023.309 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544785023.309 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544785023.309 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.309 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785023.309 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785023.309 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544785023.309 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544785023.309 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785023.309 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.309 * [misc]taylor: Taking taylor expansion of k in k 1544785023.309 * [misc]backup-simplify: Simplify 0 into 0 1544785023.309 * [misc]backup-simplify: Simplify 1 into 1 1544785023.310 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.310 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.310 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.310 * [misc]backup-simplify: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 1544785023.310 * [misc]taylor: Taking taylor expansion of 0 in n 1544785023.310 * [misc]backup-simplify: Simplify 0 into 0 1544785023.310 * [misc]backup-simplify: Simplify 0 into 0 1544785023.311 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544785023.311 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544785023.312 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544785023.312 * [misc]backup-simplify: Simplify (- 1) into -1 1544785023.312 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544785023.312 * [misc]backup-simplify: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 1544785023.312 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544785023.313 * [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))))) 1544785023.313 * [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))))) 1544785023.313 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544785023.313 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785023.313 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.313 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.313 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785023.313 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785023.313 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.313 * [misc]backup-simplify: Simplify 2 into 2 1544785023.313 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785023.313 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785023.314 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785023.314 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.314 * [misc]taylor: Taking taylor expansion of n in n 1544785023.314 * [misc]backup-simplify: Simplify 0 into 0 1544785023.314 * [misc]backup-simplify: Simplify 1 into 1 1544785023.314 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.314 * [misc]backup-simplify: Simplify PI into PI 1544785023.314 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.314 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.314 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.315 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785023.315 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785023.315 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785023.315 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.315 * [misc]backup-simplify: Simplify 0 into 0 1544785023.315 * [misc]backup-simplify: Simplify 0 into 0 1544785023.315 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544785023.316 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785023.316 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1544785023.317 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1544785023.318 * [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 1544785023.318 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 1544785023.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1544785023.320 * [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))) 1544785023.322 * [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))))))) 1544785023.322 * [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 1544785023.322 * [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 1544785023.322 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.322 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.322 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.322 * [misc]backup-simplify: Simplify 2 into 2 1544785023.322 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785023.322 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785023.322 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.322 * [misc]backup-simplify: Simplify 2 into 2 1544785023.322 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.322 * [misc]taylor: Taking taylor expansion of n in n 1544785023.322 * [misc]backup-simplify: Simplify 0 into 0 1544785023.322 * [misc]backup-simplify: Simplify 1 into 1 1544785023.322 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.322 * [misc]backup-simplify: Simplify PI into PI 1544785023.322 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.323 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785023.323 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.324 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785023.324 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.324 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785023.324 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.324 * [misc]taylor: Taking taylor expansion of n in n 1544785023.324 * [misc]backup-simplify: Simplify 0 into 0 1544785023.324 * [misc]backup-simplify: Simplify 1 into 1 1544785023.324 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.324 * [misc]backup-simplify: Simplify PI into PI 1544785023.325 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.326 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.326 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.326 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785023.326 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544785023.327 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785023.327 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.327 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.327 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785023.327 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785023.327 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.327 * [misc]backup-simplify: Simplify 2 into 2 1544785023.327 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785023.327 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785023.327 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785023.327 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.327 * [misc]taylor: Taking taylor expansion of n in n 1544785023.327 * [misc]backup-simplify: Simplify 0 into 0 1544785023.327 * [misc]backup-simplify: Simplify 1 into 1 1544785023.327 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.327 * [misc]backup-simplify: Simplify PI into PI 1544785023.328 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.328 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.328 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.329 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785023.330 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.331 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544785023.331 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.332 * [misc]backup-simplify: Simplify 0 into 0 1544785023.334 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.336 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.337 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.338 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.338 * [misc]backup-simplify: Simplify 0 into 0 1544785023.339 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.340 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785023.342 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544785023.342 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1544785023.347 * [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 1544785023.347 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.347 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1544785023.348 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1544785023.351 * [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))) 1544785023.356 * [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))))))))) 1544785023.357 * [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 1544785023.357 * [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 1544785023.357 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544785023.357 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.357 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.357 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544785023.357 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544785023.357 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785023.357 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.357 * [misc]backup-simplify: Simplify 2 into 2 1544785023.357 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785023.357 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785023.357 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785023.357 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785023.358 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.358 * [misc]backup-simplify: Simplify 2 into 2 1544785023.358 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.358 * [misc]taylor: Taking taylor expansion of n in n 1544785023.358 * [misc]backup-simplify: Simplify 0 into 0 1544785023.358 * [misc]backup-simplify: Simplify 1 into 1 1544785023.358 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.358 * [misc]backup-simplify: Simplify PI into PI 1544785023.358 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.358 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785023.359 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.360 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785023.360 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.360 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785023.360 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.360 * [misc]taylor: Taking taylor expansion of n in n 1544785023.360 * [misc]backup-simplify: Simplify 0 into 0 1544785023.360 * [misc]backup-simplify: Simplify 1 into 1 1544785023.360 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.360 * [misc]backup-simplify: Simplify PI into PI 1544785023.361 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.361 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.362 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.362 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785023.362 * [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 1544785023.362 * [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 1544785023.362 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785023.362 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.362 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.362 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785023.362 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785023.362 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.362 * [misc]backup-simplify: Simplify 2 into 2 1544785023.362 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785023.363 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785023.363 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785023.363 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.363 * [misc]taylor: Taking taylor expansion of n in n 1544785023.363 * [misc]backup-simplify: Simplify 0 into 0 1544785023.363 * [misc]backup-simplify: Simplify 1 into 1 1544785023.363 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.363 * [misc]backup-simplify: Simplify PI into PI 1544785023.363 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.364 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.364 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.365 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785023.365 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.365 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.365 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.365 * [misc]backup-simplify: Simplify 2 into 2 1544785023.365 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785023.365 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785023.365 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.365 * [misc]backup-simplify: Simplify 2 into 2 1544785023.365 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.365 * [misc]taylor: Taking taylor expansion of n in n 1544785023.365 * [misc]backup-simplify: Simplify 0 into 0 1544785023.365 * [misc]backup-simplify: Simplify 1 into 1 1544785023.365 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.366 * [misc]backup-simplify: Simplify PI into PI 1544785023.366 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.366 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785023.367 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.367 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544785023.368 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.369 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.369 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785023.369 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785023.369 * [misc]taylor: Taking taylor expansion of n in n 1544785023.369 * [misc]backup-simplify: Simplify 0 into 0 1544785023.369 * [misc]backup-simplify: Simplify 1 into 1 1544785023.369 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.369 * [misc]backup-simplify: Simplify PI into PI 1544785023.369 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785023.370 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785023.370 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.371 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785023.371 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.372 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544785023.373 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544785023.373 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785023.373 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785023.374 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785023.374 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.378 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.379 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1544785023.380 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1544785023.382 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1544785023.382 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785023.382 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.382 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.382 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.383 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.383 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.383 * [misc]backup-simplify: Simplify 0 into 0 1544785023.384 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785023.385 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544785023.389 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785023.389 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544785023.390 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544785023.392 * [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)))))))) 1544785023.395 * [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)))))))) 1544785023.397 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.399 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.400 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785023.405 * [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)))))))))) 1544785023.409 * [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))))))) 1544785023.413 * [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))))))) 1544785023.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785023.416 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544785023.417 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544785023.420 * [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)))) 1544785023.423 * [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)))) 1544785023.424 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544785023.425 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544785023.431 * [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))))))))))))) 1544785023.431 * [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)) 1544785023.431 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1544785023.431 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.431 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.431 * [misc]backup-simplify: Simplify 1 into 1 1544785023.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of k in n 1544785023.431 * [misc]backup-simplify: Simplify k into k 1544785023.431 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.431 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.431 * [misc]backup-simplify: Simplify 2 into 2 1544785023.431 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.431 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.431 * [misc]backup-simplify: Simplify PI into PI 1544785023.431 * [misc]taylor: Taking taylor expansion of n in n 1544785023.431 * [misc]backup-simplify: Simplify 0 into 0 1544785023.431 * [misc]backup-simplify: Simplify 1 into 1 1544785023.432 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.432 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.432 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.432 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544785023.432 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544785023.432 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544785023.433 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.433 * [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)))) 1544785023.434 * [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))))) 1544785023.434 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785023.434 * [misc]taylor: Taking taylor expansion of k in n 1544785023.434 * [misc]backup-simplify: Simplify k into k 1544785023.434 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785023.434 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785023.434 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.434 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.434 * [misc]backup-simplify: Simplify 1 into 1 1544785023.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of k in k 1544785023.434 * [misc]backup-simplify: Simplify 0 into 0 1544785023.434 * [misc]backup-simplify: Simplify 1 into 1 1544785023.434 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.434 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of 2 in k 1544785023.434 * [misc]backup-simplify: Simplify 2 into 2 1544785023.434 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785023.434 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.434 * [misc]backup-simplify: Simplify PI into PI 1544785023.434 * [misc]taylor: Taking taylor expansion of n in k 1544785023.434 * [misc]backup-simplify: Simplify n into n 1544785023.435 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785023.435 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544785023.435 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544785023.435 * [misc]backup-simplify: Simplify (- 1) into -1 1544785023.435 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544785023.435 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544785023.435 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544785023.435 * [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)))))) 1544785023.435 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of k in k 1544785023.436 * [misc]backup-simplify: Simplify 0 into 0 1544785023.436 * [misc]backup-simplify: Simplify 1 into 1 1544785023.436 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.436 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.436 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.436 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.436 * [misc]backup-simplify: Simplify 1 into 1 1544785023.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of k in k 1544785023.436 * [misc]backup-simplify: Simplify 0 into 0 1544785023.436 * [misc]backup-simplify: Simplify 1 into 1 1544785023.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.436 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544785023.436 * [misc]taylor: Taking taylor expansion of 2 in k 1544785023.437 * [misc]backup-simplify: Simplify 2 into 2 1544785023.437 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785023.437 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.437 * [misc]backup-simplify: Simplify PI into PI 1544785023.437 * [misc]taylor: Taking taylor expansion of n in k 1544785023.437 * [misc]backup-simplify: Simplify n into n 1544785023.437 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785023.437 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544785023.437 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544785023.437 * [misc]backup-simplify: Simplify (- 1) into -1 1544785023.437 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544785023.437 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544785023.437 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544785023.437 * [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)))))) 1544785023.437 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785023.438 * [misc]taylor: Taking taylor expansion of k in k 1544785023.438 * [misc]backup-simplify: Simplify 0 into 0 1544785023.438 * [misc]backup-simplify: Simplify 1 into 1 1544785023.438 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.438 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785023.438 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1544785023.438 * [misc]taylor: Taking taylor expansion of 0 in n 1544785023.438 * [misc]backup-simplify: Simplify 0 into 0 1544785023.438 * [misc]backup-simplify: Simplify 0 into 0 1544785023.439 * [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)))))))) 1544785023.439 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.439 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.439 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.439 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.439 * [misc]backup-simplify: Simplify 1 into 1 1544785023.439 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of k in n 1544785023.439 * [misc]backup-simplify: Simplify k into k 1544785023.439 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.439 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.439 * [misc]backup-simplify: Simplify 2 into 2 1544785023.439 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.439 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.439 * [misc]backup-simplify: Simplify PI into PI 1544785023.439 * [misc]taylor: Taking taylor expansion of n in n 1544785023.439 * [misc]backup-simplify: Simplify 0 into 0 1544785023.439 * [misc]backup-simplify: Simplify 1 into 1 1544785023.439 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.439 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.440 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.440 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544785023.440 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544785023.440 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.441 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544785023.441 * [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)))) 1544785023.442 * [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))))) 1544785023.442 * [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)))))) 1544785023.443 * [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))))))) 1544785023.443 * [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))))))) 1544785023.443 * [misc]backup-simplify: Simplify 0 into 0 1544785023.444 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785023.444 * [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)))))))) 1544785023.444 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544785023.444 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544785023.444 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.445 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.445 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.445 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.445 * [misc]backup-simplify: Simplify 1 into 1 1544785023.445 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of k in n 1544785023.445 * [misc]backup-simplify: Simplify k into k 1544785023.445 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.445 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.445 * [misc]backup-simplify: Simplify 2 into 2 1544785023.445 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.445 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.445 * [misc]backup-simplify: Simplify PI into PI 1544785023.445 * [misc]taylor: Taking taylor expansion of n in n 1544785023.445 * [misc]backup-simplify: Simplify 0 into 0 1544785023.445 * [misc]backup-simplify: Simplify 1 into 1 1544785023.445 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.445 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.446 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.446 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544785023.446 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544785023.446 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.447 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544785023.447 * [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)))) 1544785023.448 * [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))))) 1544785023.448 * [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)))))) 1544785023.449 * [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))))))) 1544785023.449 * [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))))))) 1544785023.450 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785023.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544785023.453 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544785023.453 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785023.453 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.453 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.453 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.454 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544785023.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1544785023.456 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785023.456 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1544785023.456 * [misc]backup-simplify: Simplify (- 0) into 0 1544785023.456 * [misc]backup-simplify: Simplify 0 into 0 1544785023.456 * [misc]backup-simplify: Simplify 0 into 0 1544785023.457 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785023.458 * [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)))))))) 1544785023.458 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.458 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.458 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.458 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.458 * [misc]backup-simplify: Simplify 1 into 1 1544785023.458 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of k in n 1544785023.458 * [misc]backup-simplify: Simplify k into k 1544785023.458 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.458 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of 2 in n 1544785023.458 * [misc]backup-simplify: Simplify 2 into 2 1544785023.458 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.458 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.458 * [misc]backup-simplify: Simplify PI into PI 1544785023.458 * [misc]taylor: Taking taylor expansion of n in n 1544785023.458 * [misc]backup-simplify: Simplify 0 into 0 1544785023.458 * [misc]backup-simplify: Simplify 1 into 1 1544785023.458 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.458 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544785023.459 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544785023.459 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544785023.459 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544785023.459 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544785023.460 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544785023.460 * [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)))) 1544785023.461 * [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))))) 1544785023.461 * [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)))))) 1544785023.462 * [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))))))) 1544785023.463 * [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))))))) 1544785023.465 * [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)))))))) 1544785023.465 * [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))) 1544785023.465 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1544785023.465 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.465 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.465 * [misc]taylor: Taking taylor expansion of k in n 1544785023.465 * [misc]backup-simplify: Simplify k into k 1544785023.465 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.465 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.466 * [misc]backup-simplify: Simplify 1 into 1 1544785023.466 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785023.466 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.466 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.466 * [misc]backup-simplify: Simplify -2 into -2 1544785023.466 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.466 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.466 * [misc]backup-simplify: Simplify PI into PI 1544785023.466 * [misc]taylor: Taking taylor expansion of n in n 1544785023.466 * [misc]backup-simplify: Simplify 0 into 0 1544785023.466 * [misc]backup-simplify: Simplify 1 into 1 1544785023.466 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.466 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.467 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.467 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544785023.467 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544785023.467 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.468 * [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)))) 1544785023.468 * [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))))) 1544785023.468 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785023.468 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785023.468 * [misc]taylor: Taking taylor expansion of -1 in n 1544785023.468 * [misc]backup-simplify: Simplify -1 into -1 1544785023.468 * [misc]taylor: Taking taylor expansion of k in n 1544785023.468 * [misc]backup-simplify: Simplify k into k 1544785023.468 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785023.468 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785023.468 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785023.468 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785023.469 * [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))) 1544785023.469 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.469 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.469 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of k in k 1544785023.469 * [misc]backup-simplify: Simplify 0 into 0 1544785023.469 * [misc]backup-simplify: Simplify 1 into 1 1544785023.469 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.469 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.469 * [misc]backup-simplify: Simplify 1 into 1 1544785023.469 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of -2 in k 1544785023.469 * [misc]backup-simplify: Simplify -2 into -2 1544785023.469 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785023.469 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.470 * [misc]backup-simplify: Simplify PI into PI 1544785023.470 * [misc]taylor: Taking taylor expansion of n in k 1544785023.470 * [misc]backup-simplify: Simplify n into n 1544785023.470 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785023.470 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544785023.470 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544785023.470 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785023.470 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785023.470 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544785023.470 * [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)))) 1544785023.470 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785023.470 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785023.470 * [misc]taylor: Taking taylor expansion of -1 in k 1544785023.470 * [misc]backup-simplify: Simplify -1 into -1 1544785023.470 * [misc]taylor: Taking taylor expansion of k in k 1544785023.470 * [misc]backup-simplify: Simplify 0 into 0 1544785023.470 * [misc]backup-simplify: Simplify 1 into 1 1544785023.471 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785023.471 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.471 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785023.471 * [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))))) 1544785023.471 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1544785023.471 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544785023.471 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544785023.471 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544785023.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544785023.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785023.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.472 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544785023.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785023.472 * [misc]taylor: Taking taylor expansion of k in k 1544785023.472 * [misc]backup-simplify: Simplify 0 into 0 1544785023.472 * [misc]backup-simplify: Simplify 1 into 1 1544785023.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785023.472 * [misc]taylor: Taking taylor expansion of 1 in k 1544785023.472 * [misc]backup-simplify: Simplify 1 into 1 1544785023.472 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544785023.472 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544785023.472 * [misc]taylor: Taking taylor expansion of -2 in k 1544785023.472 * [misc]backup-simplify: Simplify -2 into -2 1544785023.472 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544785023.472 * [misc]taylor: Taking taylor expansion of PI in k 1544785023.472 * [misc]backup-simplify: Simplify PI into PI 1544785023.472 * [misc]taylor: Taking taylor expansion of n in k 1544785023.472 * [misc]backup-simplify: Simplify n into n 1544785023.473 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544785023.473 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544785023.473 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544785023.473 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544785023.473 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785023.474 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544785023.474 * [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)))) 1544785023.474 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785023.474 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785023.474 * [misc]taylor: Taking taylor expansion of -1 in k 1544785023.474 * [misc]backup-simplify: Simplify -1 into -1 1544785023.474 * [misc]taylor: Taking taylor expansion of k in k 1544785023.474 * [misc]backup-simplify: Simplify 0 into 0 1544785023.474 * [misc]backup-simplify: Simplify 1 into 1 1544785023.474 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785023.474 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785023.475 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785023.475 * [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))))) 1544785023.475 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.476 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.476 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.476 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.476 * [misc]backup-simplify: Simplify -2 into -2 1544785023.476 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.476 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.476 * [misc]backup-simplify: Simplify PI into PI 1544785023.476 * [misc]taylor: Taking taylor expansion of n in n 1544785023.476 * [misc]backup-simplify: Simplify 0 into 0 1544785023.476 * [misc]backup-simplify: Simplify 1 into 1 1544785023.476 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.477 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.477 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.477 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544785023.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.477 * [misc]taylor: Taking taylor expansion of k in n 1544785023.477 * [misc]backup-simplify: Simplify k into k 1544785023.477 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.477 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.477 * [misc]backup-simplify: Simplify 1 into 1 1544785023.478 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.478 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544785023.479 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544785023.480 * [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)))) 1544785023.481 * [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))))) 1544785023.482 * [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)))))) 1544785023.482 * [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)))))) 1544785023.483 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544785023.484 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785023.485 * [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)))))) 1544785023.485 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.485 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.485 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.485 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.485 * [misc]backup-simplify: Simplify -2 into -2 1544785023.485 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.485 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.485 * [misc]backup-simplify: Simplify PI into PI 1544785023.485 * [misc]taylor: Taking taylor expansion of n in n 1544785023.485 * [misc]backup-simplify: Simplify 0 into 0 1544785023.485 * [misc]backup-simplify: Simplify 1 into 1 1544785023.486 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.486 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.487 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.487 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544785023.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.487 * [misc]taylor: Taking taylor expansion of k in n 1544785023.487 * [misc]backup-simplify: Simplify k into k 1544785023.487 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.487 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.487 * [misc]backup-simplify: Simplify 1 into 1 1544785023.488 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.490 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544785023.491 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544785023.492 * [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)))) 1544785023.492 * [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))))) 1544785023.493 * [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)))))) 1544785023.494 * [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))))))) 1544785023.495 * [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))))))) 1544785023.496 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.496 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785023.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785023.497 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544785023.498 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544785023.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544785023.501 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1544785023.501 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1544785023.503 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785023.503 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1544785023.503 * [misc]backup-simplify: Simplify 0 into 0 1544785023.503 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785023.504 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785023.505 * [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)))))) 1544785023.505 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785023.505 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785023.505 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785023.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785023.505 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of -2 in n 1544785023.505 * [misc]backup-simplify: Simplify -2 into -2 1544785023.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544785023.505 * [misc]taylor: Taking taylor expansion of PI in n 1544785023.505 * [misc]backup-simplify: Simplify PI into PI 1544785023.505 * [misc]taylor: Taking taylor expansion of n in n 1544785023.505 * [misc]backup-simplify: Simplify 0 into 0 1544785023.505 * [misc]backup-simplify: Simplify 1 into 1 1544785023.505 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544785023.506 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544785023.506 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544785023.506 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544785023.506 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785023.506 * [misc]taylor: Taking taylor expansion of k in n 1544785023.506 * [misc]backup-simplify: Simplify k into k 1544785023.506 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785023.506 * [misc]taylor: Taking taylor expansion of 1 in n 1544785023.506 * [misc]backup-simplify: Simplify 1 into 1 1544785023.507 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544785023.507 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544785023.507 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544785023.508 * [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)))) 1544785023.508 * [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))))) 1544785023.509 * [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)))))) 1544785023.509 * [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))))))) 1544785023.510 * [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))))))) 1544785023.512 * [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)))))))))))) 1544785023.512 * * * [misc]progress: simplifying candidates 1544785023.512 * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # 1544785023.512 * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # 1544785023.512 * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # 1544785023.512 * [enter]simplify: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1544785023.513 * * [misc]simplify: iters left: 6 (11 enodes) 1544785023.517 * * [misc]simplify: iters left: 5 (29 enodes) 1544785023.526 * * [misc]simplify: iters left: 4 (59 enodes) 1544785023.556 * * [misc]simplify: iters left: 3 (146 enodes) 1544785023.767 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) 1544785023.768 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))))) 1544785023.768 * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # 1544785023.768 * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # 1544785023.768 * [enter]simplify: Simplifying (* (* 2 PI) n) 1544785023.769 * * [misc]simplify: iters left: 4 (5 enodes) 1544785023.771 * * [misc]simplify: iters left: 3 (9 enodes) 1544785023.775 * * [misc]simplify: iters left: 2 (15 enodes) 1544785023.781 * * [misc]simplify: iters left: 1 (17 enodes) 1544785023.786 * [exit]simplify: Simplified to (* (* 2 PI) n) 1544785023.787 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1544785023.787 * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # 1544785023.787 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544785023.788 * * [misc]simplify: iters left: 5 (8 enodes) 1544785023.791 * * [misc]simplify: iters left: 4 (12 enodes) 1544785023.797 * * [misc]simplify: iters left: 3 (18 enodes) 1544785023.803 * * [misc]simplify: iters left: 2 (20 enodes) 1544785023.810 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544785023.810 * [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))))) 1544785023.810 * * * * [misc]progress: [ 7 / 88 ] simplifiying candidate # 1544785023.811 * [enter]simplify: Simplifying (cbrt (/ (- 1 k) 2)) 1544785023.811 * * [misc]simplify: iters left: 5 (6 enodes) 1544785023.816 * * [misc]simplify: iters left: 4 (14 enodes) 1544785023.821 * * [misc]simplify: iters left: 3 (17 enodes) 1544785023.826 * * [misc]simplify: iters left: 2 (19 enodes) 1544785023.831 * [exit]simplify: Simplified to (cbrt (/ (- 1 k) 2)) 1544785023.831 * [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))))) 1544785023.831 * * * * [misc]progress: [ 8 / 88 ] simplifiying candidate # 1544785023.832 * [enter]simplify: Simplifying (sqrt (/ (- 1 k) 2)) 1544785023.832 * * [misc]simplify: iters left: 5 (6 enodes) 1544785023.836 * * [misc]simplify: iters left: 4 (14 enodes) 1544785023.841 * * [misc]simplify: iters left: 3 (17 enodes) 1544785023.846 * * [misc]simplify: iters left: 2 (19 enodes) 1544785023.851 * [exit]simplify: Simplified to (sqrt (/ (- 1 k) 2)) 1544785023.851 * [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))))) 1544785023.851 * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # 1544785023.852 * [enter]simplify: Simplifying (/ (- 1 k) 2) 1544785023.852 * * [misc]simplify: iters left: 4 (5 enodes) 1544785023.856 * * [misc]simplify: iters left: 3 (13 enodes) 1544785023.860 * * [misc]simplify: iters left: 2 (16 enodes) 1544785023.868 * * [misc]simplify: iters left: 1 (18 enodes) 1544785023.873 * [exit]simplify: Simplified to (/ (- 1 k) 2) 1544785023.873 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 1544785023.873 * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # 1544785023.873 * [enter]simplify: Simplifying (/ 1 2) 1544785023.874 * * [misc]simplify: iters left: 2 (3 enodes) 1544785023.876 * * [misc]simplify: iters left: 1 (6 enodes) 1544785023.877 * [exit]simplify: Simplified to 1/2 1544785023.878 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 1544785023.878 * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # 1544785023.878 * [enter]simplify: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 1544785023.879 * * [misc]simplify: iters left: 5 (8 enodes) 1544785023.884 * * [misc]simplify: iters left: 4 (17 enodes) 1544785023.890 * * [misc]simplify: iters left: 3 (20 enodes) 1544785023.896 * * [misc]simplify: iters left: 2 (22 enodes) 1544785023.900 * [exit]simplify: Simplified to (pow (* 2 PI) (- 1/2 (/ k 2))) 1544785023.900 * [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))))) 1544785023.900 * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # 1544785023.900 * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # 1544785023.901 * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # 1544785023.901 * [enter]simplify: Simplifying (- 1/2) 1544785023.901 * * [misc]simplify: iters left: 2 (2 enodes) 1544785023.902 * * [misc]simplify: iters left: 1 (3 enodes) 1544785023.903 * [exit]simplify: Simplified to -1/2 1544785023.903 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785023.903 * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # 1544785023.903 * [enter]simplify: Simplifying (- 1) 1544785023.903 * * [misc]simplify: iters left: 2 (2 enodes) 1544785023.904 * * [misc]simplify: iters left: 1 (5 enodes) 1544785023.905 * [exit]simplify: Simplified to -1 1544785023.905 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785023.905 * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # 1544785023.905 * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # 1544785023.905 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544785023.906 * * [misc]simplify: iters left: 2 (3 enodes) 1544785023.906 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544785023.906 * [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)))) 1544785023.906 * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # 1544785023.906 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544785023.907 * * [misc]simplify: iters left: 2 (3 enodes) 1544785023.907 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544785023.907 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785023.907 * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # 1544785023.907 * [enter]simplify: Simplifying (sqrt k) 1544785023.908 * * [misc]simplify: iters left: 1 (2 enodes) 1544785023.908 * [exit]simplify: Simplified to (sqrt k) 1544785023.908 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785023.908 * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # 1544785023.908 * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # 1544785023.908 * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # 1544785023.908 * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # 1544785023.908 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544785023.909 * * [misc]simplify: iters left: 6 (15 enodes) 1544785023.914 * * [misc]simplify: iters left: 5 (34 enodes) 1544785023.925 * * [misc]simplify: iters left: 4 (67 enodes) 1544785023.947 * * [misc]simplify: iters left: 3 (165 enodes) 1544785024.123 * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785024.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785024.123 * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # 1544785024.124 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544785024.125 * * [misc]simplify: iters left: 6 (15 enodes) 1544785024.133 * * [misc]simplify: iters left: 5 (34 enodes) 1544785024.144 * * [misc]simplify: iters left: 4 (67 enodes) 1544785024.184 * * [misc]simplify: iters left: 3 (165 enodes) 1544785024.387 * [exit]simplify: Simplified to (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785024.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* n PI) 2)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785024.387 * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # 1544785024.387 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785024.388 * * [misc]simplify: iters left: 6 (15 enodes) 1544785024.393 * * [misc]simplify: iters left: 5 (30 enodes) 1544785024.400 * * [misc]simplify: iters left: 4 (51 enodes) 1544785024.413 * * [misc]simplify: iters left: 3 (99 enodes) 1544785024.462 * * [misc]simplify: iters left: 2 (301 enodes) 1544785025.020 * [exit]simplify: Simplified to (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (- (log (sqrt k)))) 1544785025.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 (* n PI))) (/ (- 1 k) 2) (- (log (sqrt k)))))) 1544785025.020 * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # 1544785025.021 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544785025.022 * * [misc]simplify: iters left: 6 (15 enodes) 1544785025.033 * * [misc]simplify: iters left: 5 (38 enodes) 1544785025.049 * * [misc]simplify: iters left: 4 (71 enodes) 1544785025.096 * * [misc]simplify: iters left: 3 (173 enodes) 1544785025.332 * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))) 1544785025.332 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))))) 1544785025.332 * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # 1544785025.332 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544785025.334 * * [misc]simplify: iters left: 6 (15 enodes) 1544785025.344 * * [misc]simplify: iters left: 5 (38 enodes) 1544785025.359 * * [misc]simplify: iters left: 4 (71 enodes) 1544785025.401 * * [misc]simplify: iters left: 3 (173 enodes) 1544785025.642 * [exit]simplify: Simplified to (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))) 1544785025.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (/ (- 1 k) 2) (log (* (* n 2) PI)) (- (log (sqrt k)))))) 1544785025.642 * * * * [misc]progress: [ 57 / 88 ] simplifiying candidate # 1544785025.642 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785025.643 * * [misc]simplify: iters left: 6 (15 enodes) 1544785025.649 * * [misc]simplify: iters left: 5 (34 enodes) 1544785025.657 * * [misc]simplify: iters left: 4 (55 enodes) 1544785025.673 * * [misc]simplify: iters left: 3 (107 enodes) 1544785025.747 * * [misc]simplify: iters left: 2 (347 enodes) 1544785026.380 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))) 1544785026.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* PI n) 2)) (- (log (sqrt k)))))) 1544785026.381 * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # 1544785026.381 * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # 1544785026.381 * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # 1544785026.381 * [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)))) 1544785026.383 * * [misc]simplify: iters left: 6 (17 enodes) 1544785026.393 * * [misc]simplify: iters left: 5 (42 enodes) 1544785026.409 * * [misc]simplify: iters left: 4 (98 enodes) 1544785026.454 * * [misc]simplify: iters left: 3 (175 enodes) 1544785026.516 * * [misc]simplify: iters left: 2 (325 enodes) 1544785026.773 * * [misc]simplify: iters left: 1 (454 enodes) 1544785027.088 * [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))) 1544785027.088 * [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))))) 1544785027.088 * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # 1544785027.088 * * * * [misc]progress: [ 62 / 88 ] simplifiying candidate # 1544785027.088 * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # 1544785027.088 * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # 1544785027.088 * [enter]simplify: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 1544785027.089 * * [misc]simplify: iters left: 6 (9 enodes) 1544785027.095 * * [misc]simplify: iters left: 5 (17 enodes) 1544785027.102 * * [misc]simplify: iters left: 4 (26 enodes) 1544785027.110 * * [misc]simplify: iters left: 3 (27 enodes) 1544785027.117 * [exit]simplify: Simplified to (sqrt (* PI (* 2 n))) 1544785027.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 1544785027.117 * [enter]simplify: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 1544785027.118 * * [misc]simplify: iters left: 6 (10 enodes) 1544785027.122 * * [misc]simplify: iters left: 5 (15 enodes) 1544785027.128 * * [misc]simplify: iters left: 4 (21 enodes) 1544785027.133 * * [misc]simplify: iters left: 3 (22 enodes) 1544785027.137 * [exit]simplify: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 1544785027.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 1544785027.137 * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # 1544785027.137 * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # 1544785027.138 * [enter]simplify: Simplifying (pow n (/ (- 1 k) 2)) 1544785027.138 * * [misc]simplify: iters left: 5 (7 enodes) 1544785027.140 * * [misc]simplify: iters left: 4 (15 enodes) 1544785027.143 * * [misc]simplify: iters left: 3 (18 enodes) 1544785027.146 * * [misc]simplify: iters left: 2 (20 enodes) 1544785027.149 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544785027.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2))))) 1544785027.149 * * * * [misc]progress: [ 67 / 88 ] simplifiying candidate # 1544785027.149 * [enter]simplify: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544785027.150 * * [misc]simplify: iters left: 6 (11 enodes) 1544785027.155 * * [misc]simplify: iters left: 5 (23 enodes) 1544785027.164 * * [misc]simplify: iters left: 4 (32 enodes) 1544785027.171 * * [misc]simplify: iters left: 3 (35 enodes) 1544785027.177 * [exit]simplify: Simplified to (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544785027.177 * [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))))) 1544785027.177 * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # 1544785027.177 * [enter]simplify: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544785027.177 * * [misc]simplify: iters left: 6 (11 enodes) 1544785027.183 * * [misc]simplify: iters left: 5 (23 enodes) 1544785027.188 * * [misc]simplify: iters left: 4 (32 enodes) 1544785027.193 * * [misc]simplify: iters left: 3 (35 enodes) 1544785027.199 * [exit]simplify: Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544785027.199 * [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))))) 1544785027.199 * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # 1544785027.199 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1544785027.200 * * [misc]simplify: iters left: 5 (10 enodes) 1544785027.204 * * [misc]simplify: iters left: 4 (22 enodes) 1544785027.213 * * [misc]simplify: iters left: 3 (31 enodes) 1544785027.225 * * [misc]simplify: iters left: 2 (34 enodes) 1544785027.235 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1544785027.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 1544785027.235 * * * * [misc]progress: [ 70 / 88 ] simplifiying candidate # 1544785027.235 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1544785027.236 * * [misc]simplify: iters left: 6 (6 enodes) 1544785027.238 * * [misc]simplify: iters left: 5 (8 enodes) 1544785027.241 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1544785027.241 * [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))))) 1544785027.241 * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # 1544785027.241 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1544785027.242 * * [misc]simplify: iters left: 4 (5 enodes) 1544785027.243 * * [misc]simplify: iters left: 3 (7 enodes) 1544785027.245 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1544785027.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544785027.245 * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # 1544785027.245 * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # 1544785027.245 * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # 1544785027.245 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544785027.245 * * [misc]simplify: iters left: 5 (8 enodes) 1544785027.247 * * [misc]simplify: iters left: 4 (12 enodes) 1544785027.250 * * [misc]simplify: iters left: 3 (18 enodes) 1544785027.253 * * [misc]simplify: iters left: 2 (20 enodes) 1544785027.257 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544785027.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2)))) 1544785027.257 * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # 1544785027.258 * [enter]simplify: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544785027.258 * * [misc]simplify: iters left: 6 (11 enodes) 1544785027.262 * * [misc]simplify: iters left: 5 (24 enodes) 1544785027.267 * * [misc]simplify: iters left: 4 (35 enodes) 1544785027.274 * * [misc]simplify: iters left: 3 (38 enodes) 1544785027.288 * [exit]simplify: Simplified to (pow (* (* n PI) 2) (- 1/2 (/ k 2))) 1544785027.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785027.288 * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # 1544785027.288 * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # 1544785027.288 * [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))))) 1544785027.293 * * [misc]simplify: iters left: 6 (37 enodes) 1544785027.320 * * [misc]simplify: iters left: 5 (108 enodes) 1544785027.386 * * [misc]simplify: iters left: 4 (368 enodes) 1544785028.033 * [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)))))) 1544785028.033 * [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)))))))) 1544785028.033 * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # 1544785028.034 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544785028.035 * * [misc]simplify: iters left: 6 (15 enodes) 1544785028.041 * * [misc]simplify: iters left: 5 (35 enodes) 1544785028.053 * * [misc]simplify: iters left: 4 (72 enodes) 1544785028.107 * * [misc]simplify: iters left: 3 (240 enodes) 1544785028.442 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n))) 1544785028.443 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (- 1/2 (* 1/2 k))) (+ (log (* 2 PI)) (log n))))) 1544785028.443 * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # 1544785028.443 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544785028.444 * * [misc]simplify: iters left: 6 (16 enodes) 1544785028.449 * * [misc]simplify: iters left: 5 (35 enodes) 1544785028.462 * * [misc]simplify: iters left: 4 (76 enodes) 1544785028.515 * * [misc]simplify: iters left: 3 (278 enodes) 1544785028.884 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544785028.884 * [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)))))) 1544785028.884 * * * * [misc]progress: [ 80 / 88 ] simplifiying candidate # 1544785028.884 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544785028.884 * * [misc]simplify: iters left: 4 (5 enodes) 1544785028.886 * * [misc]simplify: iters left: 3 (9 enodes) 1544785028.888 * * [misc]simplify: iters left: 2 (15 enodes) 1544785028.890 * * [misc]simplify: iters left: 1 (17 enodes) 1544785028.893 * [exit]simplify: Simplified to (* (* PI n) 2) 1544785028.893 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544785028.893 * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # 1544785028.893 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544785028.894 * * [misc]simplify: iters left: 4 (5 enodes) 1544785028.895 * * [misc]simplify: iters left: 3 (9 enodes) 1544785028.897 * * [misc]simplify: iters left: 2 (15 enodes) 1544785028.900 * * [misc]simplify: iters left: 1 (17 enodes) 1544785028.903 * [exit]simplify: Simplified to (* (* PI n) 2) 1544785028.903 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544785028.903 * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # 1544785028.904 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544785028.904 * * [misc]simplify: iters left: 4 (5 enodes) 1544785028.907 * * [misc]simplify: iters left: 3 (9 enodes) 1544785028.909 * * [misc]simplify: iters left: 2 (15 enodes) 1544785028.912 * * [misc]simplify: iters left: 1 (17 enodes) 1544785028.918 * [exit]simplify: Simplified to (* (* PI n) 2) 1544785028.918 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544785028.918 * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # 1544785028.918 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1544785028.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785028.918 * * * * [misc]progress: [ 84 / 88 ] simplifiying candidate # 1544785028.919 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1544785028.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785028.919 * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # 1544785028.919 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1544785028.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544785028.919 * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # 1544785028.919 * [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))))))))))))) 1544785028.920 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785028.920 * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # 1544785028.920 * [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)))))))) 1544785028.920 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785028.920 * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # 1544785028.920 * [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)))))))))))) 1544785028.920 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785028.921 * * * [misc]progress: adding candidates to table 1544785031.075 * * [misc]progress: iteration 3 / 4 1544785031.075 * * * [misc]progress: picking best candidate 1544785031.172 * * * * [misc]pick: Picked # 1544785031.172 * * * [misc]progress: localizing error 1544785031.192 * * * [misc]progress: generating rewritten candidates 1544785031.192 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544785031.212 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1544785031.225 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544785031.333 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544785031.399 * * * [misc]progress: generating series expansions 1544785031.399 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544785031.399 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544785031.399 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544785031.399 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785031.399 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785031.399 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785031.399 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.399 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.399 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.399 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.399 * [misc]taylor: Taking taylor expansion of k in k 1544785031.399 * [misc]backup-simplify: Simplify 0 into 0 1544785031.399 * [misc]backup-simplify: Simplify 1 into 1 1544785031.399 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785031.399 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785031.400 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.400 * [misc]backup-simplify: Simplify 2 into 2 1544785031.400 * [misc]taylor: Taking taylor expansion of n in k 1544785031.400 * [misc]backup-simplify: Simplify n into n 1544785031.400 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785031.400 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785031.400 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.400 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.400 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.400 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785031.400 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785031.400 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785031.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785031.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785031.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785031.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.401 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785031.401 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.401 * [misc]taylor: Taking taylor expansion of k in n 1544785031.401 * [misc]backup-simplify: Simplify k into k 1544785031.401 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.401 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.401 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.401 * [misc]backup-simplify: Simplify 2 into 2 1544785031.401 * [misc]taylor: Taking taylor expansion of n in n 1544785031.401 * [misc]backup-simplify: Simplify 0 into 0 1544785031.401 * [misc]backup-simplify: Simplify 1 into 1 1544785031.401 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.401 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.401 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.401 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785031.401 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785031.401 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785031.401 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.402 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785031.402 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785031.402 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.402 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.402 * [misc]taylor: Taking taylor expansion of k in n 1544785031.402 * [misc]backup-simplify: Simplify k into k 1544785031.402 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.402 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.402 * [misc]backup-simplify: Simplify 2 into 2 1544785031.402 * [misc]taylor: Taking taylor expansion of n in n 1544785031.402 * [misc]backup-simplify: Simplify 0 into 0 1544785031.402 * [misc]backup-simplify: Simplify 1 into 1 1544785031.402 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.402 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.402 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.402 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785031.403 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785031.403 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785031.403 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.403 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785031.403 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785031.403 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544785031.403 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544785031.403 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544785031.403 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544785031.403 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.403 * [misc]backup-simplify: Simplify 2 into 2 1544785031.404 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.404 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785031.404 * [misc]taylor: Taking taylor expansion of n in k 1544785031.404 * [misc]backup-simplify: Simplify n into n 1544785031.404 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785031.404 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.404 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.404 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.404 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.404 * [misc]taylor: Taking taylor expansion of k in k 1544785031.404 * [misc]backup-simplify: Simplify 0 into 0 1544785031.404 * [misc]backup-simplify: Simplify 1 into 1 1544785031.404 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544785031.404 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.404 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.404 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.404 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544785031.404 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544785031.405 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544785031.405 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.406 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544785031.407 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.407 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.407 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544785031.408 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.408 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.408 * [misc]backup-simplify: Simplify 0 into 0 1544785031.408 * [misc]backup-simplify: Simplify 0 into 0 1544785031.408 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785031.408 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.408 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.410 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.410 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544785031.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.411 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544785031.411 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1544785031.412 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1544785031.412 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785031.415 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785031.415 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544785031.415 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.415 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.416 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544785031.417 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785031.417 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.417 * [misc]backup-simplify: Simplify 0 into 0 1544785031.417 * [misc]backup-simplify: Simplify 0 into 0 1544785031.417 * [misc]backup-simplify: Simplify 0 into 0 1544785031.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.417 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.421 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785031.422 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544785031.422 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.422 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544785031.424 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1544785031.426 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1544785031.431 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1544785031.431 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.431 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544785031.431 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.431 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785031.431 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785031.431 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.432 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.432 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.432 * [misc]taylor: Taking taylor expansion of k in k 1544785031.432 * [misc]backup-simplify: Simplify 0 into 0 1544785031.432 * [misc]backup-simplify: Simplify 1 into 1 1544785031.432 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.432 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785031.432 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785031.432 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.432 * [misc]backup-simplify: Simplify 2 into 2 1544785031.432 * [misc]taylor: Taking taylor expansion of n in k 1544785031.432 * [misc]backup-simplify: Simplify n into n 1544785031.432 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785031.432 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785031.432 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.433 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.433 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.433 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785031.433 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.433 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.433 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.433 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.433 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.433 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.433 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.433 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.433 * [misc]taylor: Taking taylor expansion of k in n 1544785031.433 * [misc]backup-simplify: Simplify k into k 1544785031.433 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.433 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.434 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.434 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.434 * [misc]backup-simplify: Simplify 2 into 2 1544785031.434 * [misc]taylor: Taking taylor expansion of n in n 1544785031.434 * [misc]backup-simplify: Simplify 0 into 0 1544785031.434 * [misc]backup-simplify: Simplify 1 into 1 1544785031.434 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.434 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.434 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.434 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.434 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.435 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.435 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.435 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.435 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.435 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.435 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.436 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.436 * [misc]taylor: Taking taylor expansion of k in n 1544785031.436 * [misc]backup-simplify: Simplify k into k 1544785031.436 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.436 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.436 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.436 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.436 * [misc]backup-simplify: Simplify 2 into 2 1544785031.436 * [misc]taylor: Taking taylor expansion of n in n 1544785031.436 * [misc]backup-simplify: Simplify 0 into 0 1544785031.436 * [misc]backup-simplify: Simplify 1 into 1 1544785031.436 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.436 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.436 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.437 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.437 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.437 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.438 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.438 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544785031.438 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544785031.438 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.438 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.438 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.438 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.438 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.438 * [misc]taylor: Taking taylor expansion of k in k 1544785031.438 * [misc]backup-simplify: Simplify 0 into 0 1544785031.438 * [misc]backup-simplify: Simplify 1 into 1 1544785031.438 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.438 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544785031.438 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544785031.439 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.439 * [misc]backup-simplify: Simplify 2 into 2 1544785031.439 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.439 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785031.439 * [misc]taylor: Taking taylor expansion of n in k 1544785031.439 * [misc]backup-simplify: Simplify n into n 1544785031.439 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785031.439 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.439 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.439 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.439 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785031.440 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544785031.440 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544785031.440 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.441 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.441 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544785031.444 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.444 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.444 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.444 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.445 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.445 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544785031.446 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.446 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.446 * [misc]backup-simplify: Simplify 0 into 0 1544785031.446 * [misc]backup-simplify: Simplify 0 into 0 1544785031.446 * [misc]backup-simplify: Simplify 0 into 0 1544785031.447 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.451 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785031.452 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785031.452 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.453 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.453 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544785031.456 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785031.456 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.456 * [misc]backup-simplify: Simplify 0 into 0 1544785031.456 * [misc]backup-simplify: Simplify 0 into 0 1544785031.456 * [misc]backup-simplify: Simplify 0 into 0 1544785031.456 * [misc]backup-simplify: Simplify 0 into 0 1544785031.456 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.464 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1544785031.465 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.465 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785031.465 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.465 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.466 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.466 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544785031.470 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544785031.470 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.470 * [misc]backup-simplify: Simplify 0 into 0 1544785031.470 * [misc]backup-simplify: Simplify 0 into 0 1544785031.470 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544785031.471 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.471 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544785031.471 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of k in k 1544785031.471 * [misc]backup-simplify: Simplify 0 into 0 1544785031.471 * [misc]backup-simplify: Simplify 1 into 1 1544785031.471 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.471 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785031.471 * [misc]taylor: Taking taylor expansion of -2 in k 1544785031.471 * [misc]backup-simplify: Simplify -2 into -2 1544785031.471 * [misc]taylor: Taking taylor expansion of n in k 1544785031.471 * [misc]backup-simplify: Simplify n into n 1544785031.471 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785031.471 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785031.472 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.472 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.472 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785031.472 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.472 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.472 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785031.472 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785031.472 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.472 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.472 * [misc]taylor: Taking taylor expansion of k in n 1544785031.472 * [misc]backup-simplify: Simplify k into k 1544785031.472 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.472 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785031.473 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785031.473 * [misc]taylor: Taking taylor expansion of -2 in n 1544785031.473 * [misc]backup-simplify: Simplify -2 into -2 1544785031.473 * [misc]taylor: Taking taylor expansion of n in n 1544785031.473 * [misc]backup-simplify: Simplify 0 into 0 1544785031.473 * [misc]backup-simplify: Simplify 1 into 1 1544785031.473 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785031.473 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.473 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.473 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.474 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.474 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785031.474 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.474 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.474 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785031.474 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785031.474 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.474 * [misc]taylor: Taking taylor expansion of k in n 1544785031.475 * [misc]backup-simplify: Simplify k into k 1544785031.475 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.475 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785031.475 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785031.475 * [misc]taylor: Taking taylor expansion of -2 in n 1544785031.475 * [misc]backup-simplify: Simplify -2 into -2 1544785031.475 * [misc]taylor: Taking taylor expansion of n in n 1544785031.475 * [misc]backup-simplify: Simplify 0 into 0 1544785031.475 * [misc]backup-simplify: Simplify 1 into 1 1544785031.475 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785031.475 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.475 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.475 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.476 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.476 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785031.476 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.476 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544785031.476 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of k in k 1544785031.477 * [misc]backup-simplify: Simplify 0 into 0 1544785031.477 * [misc]backup-simplify: Simplify 1 into 1 1544785031.477 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.477 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of -2 in k 1544785031.477 * [misc]backup-simplify: Simplify -2 into -2 1544785031.477 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.477 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785031.477 * [misc]taylor: Taking taylor expansion of n in k 1544785031.477 * [misc]backup-simplify: Simplify n into n 1544785031.477 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785031.478 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.478 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.478 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785031.478 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544785031.478 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544785031.479 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.479 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544785031.482 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544785031.482 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.482 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.483 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.483 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544785031.485 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.485 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.485 * [misc]backup-simplify: Simplify 0 into 0 1544785031.485 * [misc]backup-simplify: Simplify 0 into 0 1544785031.485 * [misc]backup-simplify: Simplify 0 into 0 1544785031.485 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.489 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544785031.489 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.489 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785031.489 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.489 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.490 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544785031.491 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785031.491 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.491 * [misc]backup-simplify: Simplify 0 into 0 1544785031.491 * [misc]backup-simplify: Simplify 0 into 0 1544785031.491 * [misc]backup-simplify: Simplify 0 into 0 1544785031.491 * [misc]backup-simplify: Simplify 0 into 0 1544785031.491 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.496 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1544785031.496 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.496 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785031.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.496 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.497 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544785031.499 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544785031.499 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.499 * [misc]backup-simplify: Simplify 0 into 0 1544785031.499 * [misc]backup-simplify: Simplify 0 into 0 1544785031.499 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544785031.499 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1544785031.500 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544785031.500 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544785031.500 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785031.500 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785031.500 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785031.500 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.500 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.500 * [misc]taylor: Taking taylor expansion of k in k 1544785031.500 * [misc]backup-simplify: Simplify 0 into 0 1544785031.500 * [misc]backup-simplify: Simplify 1 into 1 1544785031.500 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.500 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.500 * [misc]backup-simplify: Simplify PI into PI 1544785031.500 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.500 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.500 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.500 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.501 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.501 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785031.501 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785031.501 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785031.501 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785031.501 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.501 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.501 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.501 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.501 * [misc]taylor: Taking taylor expansion of k in k 1544785031.501 * [misc]backup-simplify: Simplify 0 into 0 1544785031.502 * [misc]backup-simplify: Simplify 1 into 1 1544785031.502 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.502 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.502 * [misc]backup-simplify: Simplify PI into PI 1544785031.502 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.502 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.502 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.502 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.502 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.503 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785031.503 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544785031.505 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785031.505 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785031.505 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.505 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.506 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544785031.508 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785031.509 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785031.512 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544785031.512 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.512 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544785031.518 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785031.520 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785031.522 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1544785031.523 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.523 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544785031.523 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of k in k 1544785031.523 * [misc]backup-simplify: Simplify 0 into 0 1544785031.523 * [misc]backup-simplify: Simplify 1 into 1 1544785031.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.523 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.523 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.523 * [misc]backup-simplify: Simplify PI into PI 1544785031.523 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.523 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.523 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.524 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.524 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785031.524 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.524 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.524 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785031.524 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785031.524 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.524 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.524 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.524 * [misc]taylor: Taking taylor expansion of k in k 1544785031.524 * [misc]backup-simplify: Simplify 0 into 0 1544785031.524 * [misc]backup-simplify: Simplify 1 into 1 1544785031.525 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.525 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.525 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.525 * [misc]backup-simplify: Simplify PI into PI 1544785031.525 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.525 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.525 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.525 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.525 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785031.526 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.526 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544785031.526 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.526 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544785031.526 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.526 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785031.526 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785031.526 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.526 * [misc]taylor: Taking taylor expansion of k in k 1544785031.526 * [misc]backup-simplify: Simplify 0 into 0 1544785031.526 * [misc]backup-simplify: Simplify 1 into 1 1544785031.527 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.527 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.527 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.527 * [misc]backup-simplify: Simplify PI into PI 1544785031.527 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.527 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.527 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.528 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.528 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.528 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.528 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785031.528 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785031.528 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.528 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.528 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.528 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.528 * [misc]taylor: Taking taylor expansion of k in k 1544785031.528 * [misc]backup-simplify: Simplify 0 into 0 1544785031.528 * [misc]backup-simplify: Simplify 1 into 1 1544785031.529 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.529 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.529 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.529 * [misc]backup-simplify: Simplify PI into PI 1544785031.529 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.529 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.529 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.530 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.530 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.531 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.531 * [misc]backup-simplify: Simplify 0 into 0 1544785031.531 * [misc]backup-simplify: Simplify 0 into 0 1544785031.531 * [misc]backup-simplify: Simplify 0 into 0 1544785031.531 * [misc]backup-simplify: Simplify 0 into 0 1544785031.531 * [misc]backup-simplify: Simplify 0 into 0 1544785031.531 * [misc]backup-simplify: Simplify 0 into 0 1544785031.531 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544785031.532 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544785031.532 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1544785031.532 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1544785031.532 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1544785031.532 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544785031.532 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785031.532 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785031.532 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785031.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785031.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.533 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785031.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.533 * [misc]taylor: Taking taylor expansion of k in n 1544785031.533 * [misc]backup-simplify: Simplify k into k 1544785031.533 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.533 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.533 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.533 * [misc]backup-simplify: Simplify 2 into 2 1544785031.533 * [misc]taylor: Taking taylor expansion of n in n 1544785031.533 * [misc]backup-simplify: Simplify 0 into 0 1544785031.533 * [misc]backup-simplify: Simplify 1 into 1 1544785031.533 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.533 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.534 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.534 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785031.534 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785031.534 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785031.534 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.534 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785031.535 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785031.535 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544785031.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544785031.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544785031.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785031.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.535 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785031.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.535 * [misc]taylor: Taking taylor expansion of k in n 1544785031.535 * [misc]backup-simplify: Simplify k into k 1544785031.535 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.535 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.535 * [misc]backup-simplify: Simplify PI into PI 1544785031.536 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.536 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785031.536 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785031.536 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785031.536 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544785031.537 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544785031.537 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785031.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.537 * [misc]taylor: Taking taylor expansion of k in n 1544785031.537 * [misc]backup-simplify: Simplify k into k 1544785031.537 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.537 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785031.537 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.537 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785031.537 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1544785031.537 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544785031.537 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785031.537 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785031.537 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785031.537 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.537 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.538 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.538 * [misc]taylor: Taking taylor expansion of k in k 1544785031.538 * [misc]backup-simplify: Simplify 0 into 0 1544785031.538 * [misc]backup-simplify: Simplify 1 into 1 1544785031.538 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785031.538 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785031.538 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.538 * [misc]backup-simplify: Simplify 2 into 2 1544785031.538 * [misc]taylor: Taking taylor expansion of n in k 1544785031.538 * [misc]backup-simplify: Simplify n into n 1544785031.538 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785031.538 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785031.538 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.538 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.538 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.539 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785031.539 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785031.539 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785031.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785031.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785031.539 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.539 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.539 * [misc]taylor: Taking taylor expansion of k in k 1544785031.539 * [misc]backup-simplify: Simplify 0 into 0 1544785031.539 * [misc]backup-simplify: Simplify 1 into 1 1544785031.539 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.539 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.539 * [misc]backup-simplify: Simplify PI into PI 1544785031.539 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.540 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.540 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.540 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.540 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.541 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785031.541 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785031.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.541 * [misc]taylor: Taking taylor expansion of k in k 1544785031.541 * [misc]backup-simplify: Simplify 0 into 0 1544785031.541 * [misc]backup-simplify: Simplify 1 into 1 1544785031.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.542 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.542 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.542 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1544785031.542 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544785031.542 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785031.542 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785031.542 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785031.542 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.543 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.543 * [misc]taylor: Taking taylor expansion of k in k 1544785031.543 * [misc]backup-simplify: Simplify 0 into 0 1544785031.543 * [misc]backup-simplify: Simplify 1 into 1 1544785031.543 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785031.543 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785031.543 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.543 * [misc]backup-simplify: Simplify 2 into 2 1544785031.543 * [misc]taylor: Taking taylor expansion of n in k 1544785031.543 * [misc]backup-simplify: Simplify n into n 1544785031.543 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785031.543 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785031.543 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.543 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.543 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.544 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785031.544 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785031.544 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785031.544 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785031.544 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785031.544 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.544 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.544 * [misc]taylor: Taking taylor expansion of k in k 1544785031.544 * [misc]backup-simplify: Simplify 0 into 0 1544785031.544 * [misc]backup-simplify: Simplify 1 into 1 1544785031.544 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.544 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.544 * [misc]backup-simplify: Simplify PI into PI 1544785031.545 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.545 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.545 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.546 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.547 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785031.547 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785031.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.547 * [misc]taylor: Taking taylor expansion of k in k 1544785031.547 * [misc]backup-simplify: Simplify 0 into 0 1544785031.547 * [misc]backup-simplify: Simplify 1 into 1 1544785031.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.547 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.548 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.548 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544785031.548 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544785031.549 * [misc]taylor: Taking taylor expansion of 0 in n 1544785031.549 * [misc]backup-simplify: Simplify 0 into 0 1544785031.549 * [misc]backup-simplify: Simplify 0 into 0 1544785031.551 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785031.551 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785031.552 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.552 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544785031.557 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785031.557 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544785031.558 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544785031.558 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785031.558 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.558 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544785031.559 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1544785031.561 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1544785031.563 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1544785031.563 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544785031.563 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785031.564 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.564 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.564 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785031.564 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.564 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.564 * [misc]backup-simplify: Simplify 2 into 2 1544785031.564 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.564 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.564 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785031.564 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785031.564 * [misc]taylor: Taking taylor expansion of n in n 1544785031.564 * [misc]backup-simplify: Simplify 0 into 0 1544785031.564 * [misc]backup-simplify: Simplify 1 into 1 1544785031.564 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.564 * [misc]backup-simplify: Simplify PI into PI 1544785031.565 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785031.565 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785031.565 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.566 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.566 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785031.566 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.567 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.567 * [misc]backup-simplify: Simplify 0 into 0 1544785031.567 * [misc]backup-simplify: Simplify 0 into 0 1544785031.567 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544785031.568 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785031.573 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544785031.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.574 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544785031.581 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785031.581 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544785031.584 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1544785031.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.584 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.584 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.585 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544785031.587 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1544785031.594 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1544785031.603 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1544785031.603 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1544785031.603 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1544785031.603 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544785031.603 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.603 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.603 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544785031.603 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544785031.603 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.603 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.603 * [misc]backup-simplify: Simplify 2 into 2 1544785031.603 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.604 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.604 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.604 * [misc]backup-simplify: Simplify PI into PI 1544785031.604 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.604 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785031.604 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785031.604 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.604 * [misc]backup-simplify: Simplify PI into PI 1544785031.604 * [misc]taylor: Taking taylor expansion of n in n 1544785031.604 * [misc]backup-simplify: Simplify 0 into 0 1544785031.604 * [misc]backup-simplify: Simplify 1 into 1 1544785031.605 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785031.605 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785031.605 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.606 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.606 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1544785031.606 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1544785031.606 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785031.606 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.606 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.606 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785031.606 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.606 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.606 * [misc]backup-simplify: Simplify 2 into 2 1544785031.606 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.607 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.607 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785031.607 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785031.607 * [misc]taylor: Taking taylor expansion of n in n 1544785031.607 * [misc]backup-simplify: Simplify 0 into 0 1544785031.607 * [misc]backup-simplify: Simplify 1 into 1 1544785031.607 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.607 * [misc]backup-simplify: Simplify PI into PI 1544785031.607 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785031.608 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785031.608 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.609 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.609 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.609 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.609 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.609 * [misc]backup-simplify: Simplify 2 into 2 1544785031.609 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.609 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.609 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.609 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.609 * [misc]backup-simplify: Simplify 2 into 2 1544785031.609 * [misc]taylor: Taking taylor expansion of n in n 1544785031.609 * [misc]backup-simplify: Simplify 0 into 0 1544785031.609 * [misc]backup-simplify: Simplify 1 into 1 1544785031.610 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.610 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.610 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.610 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785031.610 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785031.610 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.610 * [misc]backup-simplify: Simplify PI into PI 1544785031.610 * [misc]taylor: Taking taylor expansion of n in n 1544785031.610 * [misc]backup-simplify: Simplify 0 into 0 1544785031.610 * [misc]backup-simplify: Simplify 1 into 1 1544785031.611 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785031.611 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785031.611 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.612 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.613 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544785031.614 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544785031.614 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.614 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785031.614 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.615 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.615 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544785031.616 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544785031.616 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.616 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.616 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.617 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.617 * [misc]backup-simplify: Simplify 0 into 0 1544785031.618 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785031.620 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785031.622 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785031.623 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785031.623 * [misc]backup-simplify: Simplify 0 into 0 1544785031.623 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.625 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785031.633 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1544785031.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785031.634 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.636 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544785031.645 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1544785031.646 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544785031.649 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1544785031.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785031.650 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544785031.654 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1544785031.670 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1544785031.701 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1544785031.701 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1544785031.701 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1544785031.701 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544785031.701 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.701 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.702 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544785031.702 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544785031.702 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.702 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.702 * [misc]backup-simplify: Simplify 2 into 2 1544785031.702 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.702 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.702 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.702 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.702 * [misc]backup-simplify: Simplify PI into PI 1544785031.703 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.703 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785031.703 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785031.703 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.703 * [misc]backup-simplify: Simplify PI into PI 1544785031.703 * [misc]taylor: Taking taylor expansion of n in n 1544785031.703 * [misc]backup-simplify: Simplify 0 into 0 1544785031.703 * [misc]backup-simplify: Simplify 1 into 1 1544785031.704 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785031.705 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785031.705 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.705 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.705 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1544785031.705 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1544785031.705 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544785031.705 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.706 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.706 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544785031.706 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544785031.706 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.706 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.706 * [misc]backup-simplify: Simplify 2 into 2 1544785031.706 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.706 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.706 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544785031.706 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.706 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.706 * [misc]backup-simplify: Simplify PI into PI 1544785031.706 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.706 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785031.707 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785031.707 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.707 * [misc]backup-simplify: Simplify PI into PI 1544785031.707 * [misc]taylor: Taking taylor expansion of n in n 1544785031.707 * [misc]backup-simplify: Simplify 0 into 0 1544785031.707 * [misc]backup-simplify: Simplify 1 into 1 1544785031.707 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785031.708 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785031.708 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.708 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.709 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.709 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.709 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.709 * [misc]backup-simplify: Simplify 2 into 2 1544785031.709 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.709 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.709 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.709 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.709 * [misc]backup-simplify: Simplify 2 into 2 1544785031.709 * [misc]taylor: Taking taylor expansion of n in n 1544785031.709 * [misc]backup-simplify: Simplify 0 into 0 1544785031.710 * [misc]backup-simplify: Simplify 1 into 1 1544785031.710 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.710 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.710 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.710 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.710 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785031.711 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785031.711 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.711 * [misc]backup-simplify: Simplify PI into PI 1544785031.711 * [misc]taylor: Taking taylor expansion of n in n 1544785031.711 * [misc]backup-simplify: Simplify 0 into 0 1544785031.711 * [misc]backup-simplify: Simplify 1 into 1 1544785031.711 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785031.712 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785031.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.712 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.712 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.713 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.713 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.713 * [misc]backup-simplify: Simplify 2 into 2 1544785031.713 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.713 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.713 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.713 * [misc]backup-simplify: Simplify 2 into 2 1544785031.713 * [misc]taylor: Taking taylor expansion of n in n 1544785031.713 * [misc]backup-simplify: Simplify 0 into 0 1544785031.713 * [misc]backup-simplify: Simplify 1 into 1 1544785031.714 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.714 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.714 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.714 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.714 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.714 * [misc]backup-simplify: Simplify PI into PI 1544785031.714 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.714 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785031.715 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785031.715 * [misc]taylor: Taking taylor expansion of n in n 1544785031.715 * [misc]backup-simplify: Simplify 0 into 0 1544785031.715 * [misc]backup-simplify: Simplify 1 into 1 1544785031.715 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.715 * [misc]backup-simplify: Simplify PI into PI 1544785031.715 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785031.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785031.716 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.716 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.717 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.717 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.717 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.717 * [misc]backup-simplify: Simplify 2 into 2 1544785031.717 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.717 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.717 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785031.717 * [misc]taylor: Taking taylor expansion of n in n 1544785031.718 * [misc]backup-simplify: Simplify 0 into 0 1544785031.718 * [misc]backup-simplify: Simplify 1 into 1 1544785031.718 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.718 * [misc]backup-simplify: Simplify PI into PI 1544785031.718 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785031.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785031.719 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.719 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.719 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544785031.719 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544785031.720 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.720 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.720 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544785031.720 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544785031.720 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785031.720 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.720 * [misc]backup-simplify: Simplify 2 into 2 1544785031.720 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785031.720 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785031.720 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.720 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.720 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.720 * [misc]backup-simplify: Simplify 2 into 2 1544785031.720 * [misc]taylor: Taking taylor expansion of n in n 1544785031.720 * [misc]backup-simplify: Simplify 0 into 0 1544785031.720 * [misc]backup-simplify: Simplify 1 into 1 1544785031.720 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.721 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.721 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.721 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785031.721 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785031.721 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.721 * [misc]backup-simplify: Simplify PI into PI 1544785031.721 * [misc]taylor: Taking taylor expansion of n in n 1544785031.721 * [misc]backup-simplify: Simplify 0 into 0 1544785031.721 * [misc]backup-simplify: Simplify 1 into 1 1544785031.722 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785031.722 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785031.722 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.723 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785031.724 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544785031.725 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544785031.725 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.726 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544785031.727 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544785031.729 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544785031.729 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.730 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.730 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.730 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544785031.731 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544785031.732 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544785031.732 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.733 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.733 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544785031.734 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544785031.735 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544785031.735 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.735 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785031.735 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.735 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.736 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544785031.736 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544785031.736 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785031.736 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.736 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.737 * [misc]backup-simplify: Simplify 0 into 0 1544785031.739 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785031.739 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544785031.741 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544785031.742 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544785031.743 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785031.744 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785031.745 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.746 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.746 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.747 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544785031.747 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544785031.749 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544785031.750 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544785031.752 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1544785031.755 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1544785031.759 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544785031.763 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544785031.768 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544785031.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785031.772 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544785031.773 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544785031.776 * [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)))) 1544785031.779 * [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)))) 1544785031.780 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544785031.782 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544785031.791 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1544785031.792 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1544785031.792 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1544785031.792 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of k in n 1544785031.792 * [misc]backup-simplify: Simplify k into k 1544785031.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.792 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.792 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.792 * [misc]backup-simplify: Simplify PI into PI 1544785031.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.792 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.793 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.793 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785031.793 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.793 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of k in n 1544785031.793 * [misc]backup-simplify: Simplify k into k 1544785031.793 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.793 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.793 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.793 * [misc]backup-simplify: Simplify 2 into 2 1544785031.793 * [misc]taylor: Taking taylor expansion of n in n 1544785031.793 * [misc]backup-simplify: Simplify 0 into 0 1544785031.793 * [misc]backup-simplify: Simplify 1 into 1 1544785031.794 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.794 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.794 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.794 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.794 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.794 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.795 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.795 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785031.795 * [misc]taylor: Taking taylor expansion of k in n 1544785031.795 * [misc]backup-simplify: Simplify k into k 1544785031.795 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785031.795 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785031.795 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of k in k 1544785031.795 * [misc]backup-simplify: Simplify 0 into 0 1544785031.795 * [misc]backup-simplify: Simplify 1 into 1 1544785031.795 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.795 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.795 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.795 * [misc]backup-simplify: Simplify PI into PI 1544785031.795 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.796 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.796 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.796 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.796 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785031.797 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.797 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of k in k 1544785031.797 * [misc]backup-simplify: Simplify 0 into 0 1544785031.797 * [misc]backup-simplify: Simplify 1 into 1 1544785031.797 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.797 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785031.797 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.797 * [misc]backup-simplify: Simplify 2 into 2 1544785031.797 * [misc]taylor: Taking taylor expansion of n in k 1544785031.797 * [misc]backup-simplify: Simplify n into n 1544785031.797 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785031.797 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785031.797 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.797 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.797 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.797 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785031.798 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.798 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of k in k 1544785031.798 * [misc]backup-simplify: Simplify 0 into 0 1544785031.798 * [misc]backup-simplify: Simplify 1 into 1 1544785031.798 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.798 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.798 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.798 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of k in k 1544785031.798 * [misc]backup-simplify: Simplify 0 into 0 1544785031.798 * [misc]backup-simplify: Simplify 1 into 1 1544785031.798 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.798 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.798 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.799 * [misc]backup-simplify: Simplify PI into PI 1544785031.799 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.799 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.799 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.799 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.799 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785031.800 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.800 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.800 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.800 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of k in k 1544785031.800 * [misc]backup-simplify: Simplify 0 into 0 1544785031.800 * [misc]backup-simplify: Simplify 1 into 1 1544785031.800 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.800 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785031.800 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.800 * [misc]backup-simplify: Simplify 2 into 2 1544785031.800 * [misc]taylor: Taking taylor expansion of n in k 1544785031.800 * [misc]backup-simplify: Simplify n into n 1544785031.800 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785031.800 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785031.800 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.800 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.800 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.801 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785031.801 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.801 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785031.801 * [misc]taylor: Taking taylor expansion of k in k 1544785031.801 * [misc]backup-simplify: Simplify 0 into 0 1544785031.801 * [misc]backup-simplify: Simplify 1 into 1 1544785031.801 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.801 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.801 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1544785031.802 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544785031.802 * [misc]taylor: Taking taylor expansion of 0 in n 1544785031.802 * [misc]backup-simplify: Simplify 0 into 0 1544785031.802 * [misc]backup-simplify: Simplify 0 into 0 1544785031.802 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544785031.802 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1544785031.802 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.802 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.802 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.802 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.803 * [misc]taylor: Taking taylor expansion of k in n 1544785031.803 * [misc]backup-simplify: Simplify k into k 1544785031.803 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.803 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.803 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.803 * [misc]backup-simplify: Simplify PI into PI 1544785031.803 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.803 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.803 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.803 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.803 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785031.804 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.804 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of k in n 1544785031.804 * [misc]backup-simplify: Simplify k into k 1544785031.804 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.804 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.804 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.804 * [misc]backup-simplify: Simplify 2 into 2 1544785031.804 * [misc]taylor: Taking taylor expansion of n in n 1544785031.804 * [misc]backup-simplify: Simplify 0 into 0 1544785031.804 * [misc]backup-simplify: Simplify 1 into 1 1544785031.804 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.804 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.804 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.804 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.804 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.805 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.805 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.805 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.805 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785031.806 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785031.806 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785031.806 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785031.806 * [misc]backup-simplify: Simplify 0 into 0 1544785031.807 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785031.808 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544785031.808 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1544785031.808 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544785031.808 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544785031.808 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.809 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.809 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of k in n 1544785031.809 * [misc]backup-simplify: Simplify k into k 1544785031.809 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.809 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.809 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.809 * [misc]backup-simplify: Simplify PI into PI 1544785031.809 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.810 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.810 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.810 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.810 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785031.811 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.811 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of k in n 1544785031.811 * [misc]backup-simplify: Simplify k into k 1544785031.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.811 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.811 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.811 * [misc]backup-simplify: Simplify 2 into 2 1544785031.812 * [misc]taylor: Taking taylor expansion of n in n 1544785031.812 * [misc]backup-simplify: Simplify 0 into 0 1544785031.812 * [misc]backup-simplify: Simplify 1 into 1 1544785031.812 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.812 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.812 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.812 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.813 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.813 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.813 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.814 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785031.815 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785031.815 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785031.816 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785031.816 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544785031.819 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.819 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.820 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.820 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.821 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544785031.822 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785031.825 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.826 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.826 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.827 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544785031.828 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.829 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1544785031.829 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1544785031.830 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.830 * [misc]backup-simplify: Simplify 0 into 0 1544785031.830 * [misc]backup-simplify: Simplify 0 into 0 1544785031.831 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785031.832 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1544785031.832 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1544785031.833 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.833 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.833 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of k in n 1544785031.833 * [misc]backup-simplify: Simplify k into k 1544785031.833 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.833 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.833 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.833 * [misc]backup-simplify: Simplify PI into PI 1544785031.834 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.834 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.834 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.834 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.834 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785031.835 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.835 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of k in n 1544785031.835 * [misc]backup-simplify: Simplify k into k 1544785031.835 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.835 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.835 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.835 * [misc]backup-simplify: Simplify 2 into 2 1544785031.835 * [misc]taylor: Taking taylor expansion of n in n 1544785031.835 * [misc]backup-simplify: Simplify 0 into 0 1544785031.835 * [misc]backup-simplify: Simplify 1 into 1 1544785031.836 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.836 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.836 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.836 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.836 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.836 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.837 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.837 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.838 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785031.838 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785031.839 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785031.839 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785031.843 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1544785031.843 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1544785031.843 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1544785031.843 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1544785031.843 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785031.843 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.843 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.844 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of k in n 1544785031.844 * [misc]backup-simplify: Simplify k into k 1544785031.844 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.844 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785031.844 * [misc]taylor: Taking taylor expansion of -2 in n 1544785031.844 * [misc]backup-simplify: Simplify -2 into -2 1544785031.844 * [misc]taylor: Taking taylor expansion of n in n 1544785031.844 * [misc]backup-simplify: Simplify 0 into 0 1544785031.844 * [misc]backup-simplify: Simplify 1 into 1 1544785031.844 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785031.844 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.844 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.845 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.845 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.845 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785031.846 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.846 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.846 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.846 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of k in n 1544785031.846 * [misc]backup-simplify: Simplify k into k 1544785031.846 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.846 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.846 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.846 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.846 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.846 * [misc]backup-simplify: Simplify PI into PI 1544785031.846 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.846 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.847 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.847 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785031.847 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785031.847 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785031.847 * [misc]taylor: Taking taylor expansion of -1 in n 1544785031.847 * [misc]backup-simplify: Simplify -1 into -1 1544785031.847 * [misc]taylor: Taking taylor expansion of k in n 1544785031.847 * [misc]backup-simplify: Simplify k into k 1544785031.847 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785031.848 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785031.848 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785031.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785031.848 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785031.848 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1544785031.848 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1544785031.848 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544785031.848 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.848 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785031.848 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of k in k 1544785031.849 * [misc]backup-simplify: Simplify 0 into 0 1544785031.849 * [misc]backup-simplify: Simplify 1 into 1 1544785031.849 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.849 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of -2 in k 1544785031.849 * [misc]backup-simplify: Simplify -2 into -2 1544785031.849 * [misc]taylor: Taking taylor expansion of n in k 1544785031.849 * [misc]backup-simplify: Simplify n into n 1544785031.849 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785031.849 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785031.849 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.849 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.849 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785031.849 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.849 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.849 * [misc]taylor: Taking taylor expansion of k in k 1544785031.850 * [misc]backup-simplify: Simplify 0 into 0 1544785031.850 * [misc]backup-simplify: Simplify 1 into 1 1544785031.850 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.850 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.850 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.850 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.850 * [misc]backup-simplify: Simplify PI into PI 1544785031.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.850 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.850 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.850 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.851 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.851 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785031.851 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785031.851 * [misc]taylor: Taking taylor expansion of -1 in k 1544785031.851 * [misc]backup-simplify: Simplify -1 into -1 1544785031.851 * [misc]taylor: Taking taylor expansion of k in k 1544785031.851 * [misc]backup-simplify: Simplify 0 into 0 1544785031.851 * [misc]backup-simplify: Simplify 1 into 1 1544785031.851 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785031.851 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.851 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785031.852 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785031.852 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785031.852 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of k in k 1544785031.852 * [misc]backup-simplify: Simplify 0 into 0 1544785031.852 * [misc]backup-simplify: Simplify 1 into 1 1544785031.852 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.852 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.852 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785031.852 * [misc]taylor: Taking taylor expansion of -2 in k 1544785031.852 * [misc]backup-simplify: Simplify -2 into -2 1544785031.852 * [misc]taylor: Taking taylor expansion of n in k 1544785031.852 * [misc]backup-simplify: Simplify n into n 1544785031.852 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785031.852 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785031.852 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.853 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.853 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785031.853 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.853 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of k in k 1544785031.853 * [misc]backup-simplify: Simplify 0 into 0 1544785031.853 * [misc]backup-simplify: Simplify 1 into 1 1544785031.853 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.853 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785031.853 * [misc]taylor: Taking taylor expansion of PI in k 1544785031.853 * [misc]backup-simplify: Simplify PI into PI 1544785031.853 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.853 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.854 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.854 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785031.854 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.854 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785031.854 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785031.854 * [misc]taylor: Taking taylor expansion of -1 in k 1544785031.854 * [misc]backup-simplify: Simplify -1 into -1 1544785031.854 * [misc]taylor: Taking taylor expansion of k in k 1544785031.854 * [misc]backup-simplify: Simplify 0 into 0 1544785031.854 * [misc]backup-simplify: Simplify 1 into 1 1544785031.854 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785031.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.855 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785031.855 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785031.855 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785031.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.855 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.855 * [misc]taylor: Taking taylor expansion of k in n 1544785031.856 * [misc]backup-simplify: Simplify k into k 1544785031.856 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.856 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.856 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.856 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785031.856 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785031.856 * [misc]taylor: Taking taylor expansion of -2 in n 1544785031.856 * [misc]backup-simplify: Simplify -2 into -2 1544785031.856 * [misc]taylor: Taking taylor expansion of n in n 1544785031.856 * [misc]backup-simplify: Simplify 0 into 0 1544785031.856 * [misc]backup-simplify: Simplify 1 into 1 1544785031.856 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785031.856 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.856 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.856 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.856 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.856 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785031.857 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.857 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.857 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of k in n 1544785031.857 * [misc]backup-simplify: Simplify k into k 1544785031.857 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.857 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.857 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.857 * [misc]backup-simplify: Simplify PI into PI 1544785031.857 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.857 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.857 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.858 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785031.858 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.858 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785031.858 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785031.859 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785031.859 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544785031.859 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544785031.860 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785031.860 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785031.860 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.861 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.861 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.861 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of k in n 1544785031.861 * [misc]backup-simplify: Simplify k into k 1544785031.861 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.861 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785031.861 * [misc]taylor: Taking taylor expansion of -2 in n 1544785031.861 * [misc]backup-simplify: Simplify -2 into -2 1544785031.861 * [misc]taylor: Taking taylor expansion of n in n 1544785031.861 * [misc]backup-simplify: Simplify 0 into 0 1544785031.861 * [misc]backup-simplify: Simplify 1 into 1 1544785031.861 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785031.861 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.861 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.861 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.861 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.862 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785031.862 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.862 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of k in n 1544785031.862 * [misc]backup-simplify: Simplify k into k 1544785031.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.862 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.862 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.862 * [misc]backup-simplify: Simplify PI into PI 1544785031.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.863 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.863 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.863 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785031.863 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.864 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785031.864 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785031.864 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785031.865 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785031.867 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785031.867 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.867 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.867 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544785031.868 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544785031.870 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544785031.870 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.871 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.871 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544785031.872 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.872 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544785031.873 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544785031.873 * [misc]backup-simplify: Simplify 0 into 0 1544785031.873 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544785031.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.874 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785031.875 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785031.875 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785031.875 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785031.875 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.875 * [misc]taylor: Taking taylor expansion of k in n 1544785031.875 * [misc]backup-simplify: Simplify k into k 1544785031.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.875 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785031.876 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785031.876 * [misc]taylor: Taking taylor expansion of -2 in n 1544785031.876 * [misc]backup-simplify: Simplify -2 into -2 1544785031.876 * [misc]taylor: Taking taylor expansion of n in n 1544785031.876 * [misc]backup-simplify: Simplify 0 into 0 1544785031.876 * [misc]backup-simplify: Simplify 1 into 1 1544785031.876 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785031.876 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785031.876 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.876 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785031.876 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785031.877 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785031.877 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.877 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of k in n 1544785031.877 * [misc]backup-simplify: Simplify k into k 1544785031.877 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.877 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785031.877 * [misc]taylor: Taking taylor expansion of PI in n 1544785031.877 * [misc]backup-simplify: Simplify PI into PI 1544785031.877 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785031.877 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.877 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785031.878 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785031.878 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785031.878 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785031.878 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785031.879 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785031.879 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785031.881 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544785031.881 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544785031.881 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1544785031.882 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544785031.882 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.882 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.882 * [misc]taylor: Taking taylor expansion of k in k 1544785031.882 * [misc]backup-simplify: Simplify 0 into 0 1544785031.882 * [misc]backup-simplify: Simplify 1 into 1 1544785031.882 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.882 * [misc]backup-simplify: Simplify 2 into 2 1544785031.882 * [misc]taylor: Taking taylor expansion of n in k 1544785031.882 * [misc]backup-simplify: Simplify n into n 1544785031.882 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785031.882 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785031.882 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.882 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.882 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.882 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785031.882 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785031.882 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.882 * [misc]taylor: Taking taylor expansion of k in k 1544785031.882 * [misc]backup-simplify: Simplify 0 into 0 1544785031.882 * [misc]backup-simplify: Simplify 1 into 1 1544785031.883 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.883 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.883 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.883 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.883 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.883 * [misc]taylor: Taking taylor expansion of k in n 1544785031.883 * [misc]backup-simplify: Simplify k into k 1544785031.883 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.883 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.883 * [misc]backup-simplify: Simplify 2 into 2 1544785031.883 * [misc]taylor: Taking taylor expansion of n in n 1544785031.883 * [misc]backup-simplify: Simplify 0 into 0 1544785031.883 * [misc]backup-simplify: Simplify 1 into 1 1544785031.884 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.884 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.884 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.884 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785031.884 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785031.884 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785031.884 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.885 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785031.885 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785031.885 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785031.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.885 * [misc]taylor: Taking taylor expansion of k in n 1544785031.885 * [misc]backup-simplify: Simplify k into k 1544785031.885 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.885 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785031.885 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.886 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785031.886 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.886 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.886 * [misc]taylor: Taking taylor expansion of k in n 1544785031.886 * [misc]backup-simplify: Simplify k into k 1544785031.886 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785031.886 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.886 * [misc]backup-simplify: Simplify 2 into 2 1544785031.886 * [misc]taylor: Taking taylor expansion of n in n 1544785031.886 * [misc]backup-simplify: Simplify 0 into 0 1544785031.886 * [misc]backup-simplify: Simplify 1 into 1 1544785031.886 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785031.886 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785031.886 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.887 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785031.887 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785031.887 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785031.887 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.887 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785031.888 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785031.888 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785031.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.888 * [misc]taylor: Taking taylor expansion of k in n 1544785031.888 * [misc]backup-simplify: Simplify k into k 1544785031.888 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.888 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785031.888 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.888 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785031.888 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1544785031.889 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.889 * [misc]backup-simplify: Simplify 2 into 2 1544785031.889 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.889 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of n in k 1544785031.889 * [misc]backup-simplify: Simplify n into n 1544785031.889 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785031.889 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.889 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785031.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.889 * [misc]taylor: Taking taylor expansion of k in k 1544785031.889 * [misc]backup-simplify: Simplify 0 into 0 1544785031.889 * [misc]backup-simplify: Simplify 1 into 1 1544785031.889 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544785031.890 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785031.890 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.890 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785031.890 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544785031.890 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544785031.890 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785031.890 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.890 * [misc]taylor: Taking taylor expansion of k in k 1544785031.890 * [misc]backup-simplify: Simplify 0 into 0 1544785031.890 * [misc]backup-simplify: Simplify 1 into 1 1544785031.891 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.891 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.891 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.891 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1544785031.891 * [misc]backup-simplify: Simplify 0 into 0 1544785031.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.894 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544785031.895 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.895 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.895 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544785031.897 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.897 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544785031.897 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.897 * [misc]backup-simplify: Simplify 0 into 0 1544785031.897 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785031.898 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.898 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.900 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.901 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544785031.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.902 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544785031.904 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1544785031.905 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1544785031.906 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1544785031.906 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.907 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544785031.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785031.911 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785031.912 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544785031.912 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.912 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.913 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544785031.915 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785031.916 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544785031.916 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.916 * [misc]backup-simplify: Simplify 0 into 0 1544785031.916 * [misc]backup-simplify: Simplify 0 into 0 1544785031.916 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544785031.917 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785031.918 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785031.918 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.918 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.921 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785031.922 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544785031.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.923 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544785031.924 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1544785031.927 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1544785031.927 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1544785031.928 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.928 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544785031.928 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544785031.932 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1544785031.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544785031.933 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.933 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785031.934 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1544785031.936 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544785031.936 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544785031.936 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.936 * [misc]backup-simplify: Simplify 0 into 0 1544785031.936 * [misc]backup-simplify: Simplify 0 into 0 1544785031.936 * [misc]backup-simplify: Simplify 0 into 0 1544785031.936 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.937 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785031.937 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785031.937 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.942 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1544785031.944 * [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 1544785031.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.944 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1544785031.948 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1544785031.961 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1544785031.970 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1544785031.980 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1544785031.981 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1544785031.981 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544785031.981 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.981 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.981 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of k in k 1544785031.981 * [misc]backup-simplify: Simplify 0 into 0 1544785031.981 * [misc]backup-simplify: Simplify 1 into 1 1544785031.981 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.981 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785031.981 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.981 * [misc]backup-simplify: Simplify 2 into 2 1544785031.981 * [misc]taylor: Taking taylor expansion of n in k 1544785031.981 * [misc]backup-simplify: Simplify n into n 1544785031.981 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785031.981 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785031.981 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.982 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.982 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.982 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785031.982 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785031.982 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785031.982 * [misc]taylor: Taking taylor expansion of k in k 1544785031.982 * [misc]backup-simplify: Simplify 0 into 0 1544785031.982 * [misc]backup-simplify: Simplify 1 into 1 1544785031.982 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.982 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.983 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.983 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of k in n 1544785031.983 * [misc]backup-simplify: Simplify k into k 1544785031.983 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.983 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.983 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.983 * [misc]backup-simplify: Simplify 2 into 2 1544785031.983 * [misc]taylor: Taking taylor expansion of n in n 1544785031.983 * [misc]backup-simplify: Simplify 0 into 0 1544785031.983 * [misc]backup-simplify: Simplify 1 into 1 1544785031.983 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.983 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.983 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.983 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.983 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.984 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.984 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.984 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of k in n 1544785031.984 * [misc]backup-simplify: Simplify k into k 1544785031.984 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785031.984 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785031.984 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.984 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785031.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.984 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of k in n 1544785031.984 * [misc]backup-simplify: Simplify k into k 1544785031.984 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785031.984 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785031.984 * [misc]taylor: Taking taylor expansion of 2 in n 1544785031.984 * [misc]backup-simplify: Simplify 2 into 2 1544785031.984 * [misc]taylor: Taking taylor expansion of n in n 1544785031.984 * [misc]backup-simplify: Simplify 0 into 0 1544785031.984 * [misc]backup-simplify: Simplify 1 into 1 1544785031.985 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785031.985 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.985 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785031.985 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785031.985 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785031.985 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.985 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785031.985 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.986 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785031.986 * [misc]taylor: Taking taylor expansion of k in n 1544785031.986 * [misc]backup-simplify: Simplify k into k 1544785031.986 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785031.986 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785031.986 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785031.986 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1544785031.986 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785031.986 * [misc]taylor: Taking taylor expansion of k in k 1544785031.986 * [misc]backup-simplify: Simplify 0 into 0 1544785031.986 * [misc]backup-simplify: Simplify 1 into 1 1544785031.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785031.986 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785031.986 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.987 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785031.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785031.987 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of k in k 1544785031.987 * [misc]backup-simplify: Simplify 0 into 0 1544785031.987 * [misc]backup-simplify: Simplify 1 into 1 1544785031.987 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785031.987 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of 2 in k 1544785031.987 * [misc]backup-simplify: Simplify 2 into 2 1544785031.987 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785031.987 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785031.987 * [misc]taylor: Taking taylor expansion of n in k 1544785031.987 * [misc]backup-simplify: Simplify n into n 1544785031.987 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785031.987 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785031.987 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785031.987 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785031.987 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785031.988 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544785031.988 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544785031.988 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785031.988 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1544785031.988 * [misc]backup-simplify: Simplify 0 into 0 1544785031.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544785031.990 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785031.990 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785031.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785031.990 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.990 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.991 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544785031.992 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785031.992 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1544785031.992 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.992 * [misc]backup-simplify: Simplify 0 into 0 1544785031.992 * [misc]backup-simplify: Simplify 0 into 0 1544785031.992 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785031.993 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785031.993 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544785031.993 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785031.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785031.996 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785031.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785031.996 * [misc]backup-simplify: Simplify (- 0) into 0 1544785031.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785031.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785031.997 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544785031.998 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785031.999 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544785031.999 * [misc]taylor: Taking taylor expansion of 0 in k 1544785031.999 * [misc]backup-simplify: Simplify 0 into 0 1544785031.999 * [misc]backup-simplify: Simplify 0 into 0 1544785031.999 * [misc]backup-simplify: Simplify 0 into 0 1544785032.000 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785032.000 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785032.000 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785032.000 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544785032.001 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785032.005 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1544785032.005 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785032.006 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785032.006 * [misc]backup-simplify: Simplify (- 0) into 0 1544785032.006 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785032.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785032.007 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544785032.009 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544785032.009 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544785032.009 * [misc]taylor: Taking taylor expansion of 0 in k 1544785032.009 * [misc]backup-simplify: Simplify 0 into 0 1544785032.009 * [misc]backup-simplify: Simplify 0 into 0 1544785032.009 * [misc]backup-simplify: Simplify 0 into 0 1544785032.009 * [misc]backup-simplify: Simplify 0 into 0 1544785032.010 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785032.011 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785032.011 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785032.014 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544785032.015 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1544785032.015 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544785032.015 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785032.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of k in k 1544785032.015 * [misc]backup-simplify: Simplify 0 into 0 1544785032.015 * [misc]backup-simplify: Simplify 1 into 1 1544785032.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785032.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785032.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.015 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785032.015 * [misc]taylor: Taking taylor expansion of -2 in k 1544785032.015 * [misc]backup-simplify: Simplify -2 into -2 1544785032.015 * [misc]taylor: Taking taylor expansion of n in k 1544785032.015 * [misc]backup-simplify: Simplify n into n 1544785032.015 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785032.015 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785032.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785032.015 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785032.016 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785032.016 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785032.016 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785032.016 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785032.016 * [misc]taylor: Taking taylor expansion of -1 in k 1544785032.016 * [misc]backup-simplify: Simplify -1 into -1 1544785032.016 * [misc]taylor: Taking taylor expansion of k in k 1544785032.016 * [misc]backup-simplify: Simplify 0 into 0 1544785032.016 * [misc]backup-simplify: Simplify 1 into 1 1544785032.016 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785032.016 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785032.016 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785032.016 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1544785032.016 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544785032.016 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785032.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of k in n 1544785032.017 * [misc]backup-simplify: Simplify k into k 1544785032.017 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785032.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785032.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.017 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785032.017 * [misc]taylor: Taking taylor expansion of -2 in n 1544785032.017 * [misc]backup-simplify: Simplify -2 into -2 1544785032.017 * [misc]taylor: Taking taylor expansion of n in n 1544785032.017 * [misc]backup-simplify: Simplify 0 into 0 1544785032.017 * [misc]backup-simplify: Simplify 1 into 1 1544785032.017 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785032.017 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785032.017 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785032.017 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785032.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785032.018 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785032.018 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785032.018 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785032.018 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785032.018 * [misc]taylor: Taking taylor expansion of -1 in n 1544785032.018 * [misc]backup-simplify: Simplify -1 into -1 1544785032.018 * [misc]taylor: Taking taylor expansion of k in n 1544785032.018 * [misc]backup-simplify: Simplify k into k 1544785032.018 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785032.018 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785032.018 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785032.018 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785032.018 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1544785032.018 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544785032.018 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785032.018 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785032.018 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785032.018 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785032.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785032.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785032.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785032.019 * [misc]taylor: Taking taylor expansion of k in n 1544785032.019 * [misc]backup-simplify: Simplify k into k 1544785032.019 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785032.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785032.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.019 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785032.019 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785032.019 * [misc]taylor: Taking taylor expansion of -2 in n 1544785032.019 * [misc]backup-simplify: Simplify -2 into -2 1544785032.019 * [misc]taylor: Taking taylor expansion of n in n 1544785032.019 * [misc]backup-simplify: Simplify 0 into 0 1544785032.019 * [misc]backup-simplify: Simplify 1 into 1 1544785032.019 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785032.019 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785032.019 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785032.019 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785032.019 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785032.020 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785032.020 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785032.020 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785032.020 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785032.020 * [misc]taylor: Taking taylor expansion of -1 in n 1544785032.020 * [misc]backup-simplify: Simplify -1 into -1 1544785032.020 * [misc]taylor: Taking taylor expansion of k in n 1544785032.020 * [misc]backup-simplify: Simplify k into k 1544785032.020 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785032.020 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785032.020 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785032.020 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785032.020 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1544785032.020 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1544785032.020 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544785032.020 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785032.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.021 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of k in k 1544785032.021 * [misc]backup-simplify: Simplify 0 into 0 1544785032.021 * [misc]backup-simplify: Simplify 1 into 1 1544785032.021 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785032.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785032.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785032.021 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of -2 in k 1544785032.021 * [misc]backup-simplify: Simplify -2 into -2 1544785032.021 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785032.021 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785032.021 * [misc]taylor: Taking taylor expansion of n in k 1544785032.021 * [misc]backup-simplify: Simplify n into n 1544785032.021 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785032.021 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785032.021 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785032.021 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785032.021 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544785032.022 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544785032.022 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785032.022 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785032.022 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785032.022 * [misc]taylor: Taking taylor expansion of -1 in k 1544785032.022 * [misc]backup-simplify: Simplify -1 into -1 1544785032.022 * [misc]taylor: Taking taylor expansion of k in k 1544785032.022 * [misc]backup-simplify: Simplify 0 into 0 1544785032.022 * [misc]backup-simplify: Simplify 1 into 1 1544785032.022 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785032.022 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785032.022 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785032.023 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1544785032.023 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1544785032.023 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544785032.026 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544785032.026 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785032.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785032.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785032.027 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785032.027 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544785032.029 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785032.029 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544785032.029 * [misc]taylor: Taking taylor expansion of 0 in k 1544785032.029 * [misc]backup-simplify: Simplify 0 into 0 1544785032.029 * [misc]backup-simplify: Simplify 0 into 0 1544785032.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544785032.030 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785032.031 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1544785032.032 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1544785032.032 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785032.036 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544785032.036 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785032.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785032.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785032.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785032.038 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544785032.040 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785032.040 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785032.041 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544785032.041 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544785032.041 * [misc]taylor: Taking taylor expansion of 0 in k 1544785032.041 * [misc]backup-simplify: Simplify 0 into 0 1544785032.041 * [misc]backup-simplify: Simplify 0 into 0 1544785032.041 * [misc]backup-simplify: Simplify 0 into 0 1544785032.042 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785032.043 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785032.044 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1544785032.045 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1544785032.046 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1544785032.047 * * * [misc]progress: simplifying candidates 1544785032.047 * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # 1544785032.047 * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # 1544785032.047 * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # 1544785032.047 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544785032.048 * * [misc]simplify: iters left: 6 (9 enodes) 1544785032.054 * * [misc]simplify: iters left: 5 (16 enodes) 1544785032.062 * * [misc]simplify: iters left: 4 (32 enodes) 1544785032.081 * * [misc]simplify: iters left: 3 (72 enodes) 1544785032.124 * * [misc]simplify: iters left: 2 (195 enodes) 1544785032.198 * * [misc]simplify: iters left: 1 (418 enodes) 1544785032.402 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544785032.402 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1544785032.402 * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # 1544785032.402 * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # 1544785032.402 * [enter]simplify: Simplifying (* n 2) 1544785032.403 * * [misc]simplify: iters left: 2 (3 enodes) 1544785032.403 * * [misc]simplify: iters left: 1 (4 enodes) 1544785032.404 * [exit]simplify: Simplified to (* n 2) 1544785032.404 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1544785032.404 * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # 1544785032.404 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544785032.405 * * [misc]simplify: iters left: 3 (6 enodes) 1544785032.406 * * [misc]simplify: iters left: 2 (7 enodes) 1544785032.407 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544785032.407 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1544785032.407 * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # 1544785032.407 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544785032.408 * * [misc]simplify: iters left: 5 (6 enodes) 1544785032.409 * * [misc]simplify: iters left: 4 (8 enodes) 1544785032.410 * * [misc]simplify: iters left: 3 (11 enodes) 1544785032.412 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544785032.412 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544785032.412 * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # 1544785032.412 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544785032.413 * * [misc]simplify: iters left: 5 (6 enodes) 1544785032.414 * * [misc]simplify: iters left: 4 (8 enodes) 1544785032.415 * * [misc]simplify: iters left: 3 (11 enodes) 1544785032.417 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544785032.417 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544785032.417 * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # 1544785032.417 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544785032.418 * * [misc]simplify: iters left: 4 (5 enodes) 1544785032.419 * * [misc]simplify: iters left: 3 (7 enodes) 1544785032.420 * * [misc]simplify: iters left: 2 (10 enodes) 1544785032.422 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544785032.422 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.422 * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # 1544785032.422 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544785032.422 * * [misc]simplify: iters left: 5 (7 enodes) 1544785032.424 * * [misc]simplify: iters left: 4 (10 enodes) 1544785032.428 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544785032.428 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544785032.428 * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # 1544785032.429 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544785032.429 * * [misc]simplify: iters left: 5 (7 enodes) 1544785032.432 * * [misc]simplify: iters left: 4 (10 enodes) 1544785032.436 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544785032.436 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544785032.436 * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # 1544785032.436 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544785032.437 * * [misc]simplify: iters left: 5 (7 enodes) 1544785032.440 * * [misc]simplify: iters left: 4 (9 enodes) 1544785032.443 * * [misc]simplify: iters left: 3 (12 enodes) 1544785032.449 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544785032.449 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1544785032.449 * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # 1544785032.449 * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # 1544785032.450 * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # 1544785032.450 * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # 1544785032.450 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544785032.450 * * [misc]simplify: iters left: 3 (5 enodes) 1544785032.452 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544785032.452 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.452 * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # 1544785032.453 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544785032.453 * * [misc]simplify: iters left: 5 (6 enodes) 1544785032.455 * * [misc]simplify: iters left: 4 (8 enodes) 1544785032.458 * * [misc]simplify: iters left: 3 (11 enodes) 1544785032.462 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544785032.462 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.462 * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # 1544785032.463 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544785032.463 * * [misc]simplify: iters left: 5 (6 enodes) 1544785032.465 * * [misc]simplify: iters left: 4 (8 enodes) 1544785032.468 * * [misc]simplify: iters left: 3 (11 enodes) 1544785032.470 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544785032.470 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.470 * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # 1544785032.470 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544785032.470 * * [misc]simplify: iters left: 4 (5 enodes) 1544785032.474 * * [misc]simplify: iters left: 3 (7 enodes) 1544785032.475 * * [misc]simplify: iters left: 2 (10 enodes) 1544785032.477 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544785032.477 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.477 * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # 1544785032.477 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544785032.477 * * [misc]simplify: iters left: 5 (6 enodes) 1544785032.478 * * [misc]simplify: iters left: 4 (8 enodes) 1544785032.480 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544785032.480 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.480 * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # 1544785032.480 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544785032.480 * * [misc]simplify: iters left: 5 (6 enodes) 1544785032.482 * * [misc]simplify: iters left: 4 (8 enodes) 1544785032.483 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544785032.483 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785032.483 * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # 1544785032.483 * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # 1544785032.484 * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # 1544785032.484 * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # 1544785032.484 * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # 1544785032.484 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785032.485 * * [misc]simplify: iters left: 6 (16 enodes) 1544785032.490 * * [misc]simplify: iters left: 5 (31 enodes) 1544785032.498 * * [misc]simplify: iters left: 4 (66 enodes) 1544785032.548 * * [misc]simplify: iters left: 3 (212 enodes) 1544785032.769 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1544785032.769 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1544785032.769 * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # 1544785032.769 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785032.770 * * [misc]simplify: iters left: 6 (16 enodes) 1544785032.775 * * [misc]simplify: iters left: 5 (31 enodes) 1544785032.784 * * [misc]simplify: iters left: 4 (66 enodes) 1544785032.822 * * [misc]simplify: iters left: 3 (212 enodes) 1544785033.051 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1544785033.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1544785033.051 * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # 1544785033.051 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544785033.052 * * [misc]simplify: iters left: 6 (16 enodes) 1544785033.056 * * [misc]simplify: iters left: 5 (28 enodes) 1544785033.066 * * [misc]simplify: iters left: 4 (55 enodes) 1544785033.098 * * [misc]simplify: iters left: 3 (129 enodes) 1544785033.179 * * [misc]simplify: iters left: 2 (441 enodes) 1544785033.913 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785033.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785033.913 * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # 1544785033.913 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785033.915 * * [misc]simplify: iters left: 6 (15 enodes) 1544785033.922 * * [misc]simplify: iters left: 5 (24 enodes) 1544785033.934 * * [misc]simplify: iters left: 4 (42 enodes) 1544785033.959 * * [misc]simplify: iters left: 3 (90 enodes) 1544785034.010 * * [misc]simplify: iters left: 2 (207 enodes) 1544785034.247 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1544785034.247 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1544785034.248 * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # 1544785034.248 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785034.249 * * [misc]simplify: iters left: 6 (16 enodes) 1544785034.254 * * [misc]simplify: iters left: 5 (31 enodes) 1544785034.264 * * [misc]simplify: iters left: 4 (60 enodes) 1544785034.289 * * [misc]simplify: iters left: 3 (180 enodes) 1544785034.521 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785034.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785034.521 * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # 1544785034.522 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785034.523 * * [misc]simplify: iters left: 6 (16 enodes) 1544785034.530 * * [misc]simplify: iters left: 5 (31 enodes) 1544785034.539 * * [misc]simplify: iters left: 4 (60 enodes) 1544785034.564 * * [misc]simplify: iters left: 3 (180 enodes) 1544785034.808 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785034.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785034.808 * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # 1544785034.808 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544785034.809 * * [misc]simplify: iters left: 6 (16 enodes) 1544785034.813 * * [misc]simplify: iters left: 5 (28 enodes) 1544785034.820 * * [misc]simplify: iters left: 4 (49 enodes) 1544785034.835 * * [misc]simplify: iters left: 3 (97 enodes) 1544785034.900 * * [misc]simplify: iters left: 2 (353 enodes) 1544785035.392 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1544785035.392 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1544785035.392 * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # 1544785035.393 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785035.394 * * [misc]simplify: iters left: 6 (15 enodes) 1544785035.397 * * [misc]simplify: iters left: 5 (24 enodes) 1544785035.403 * * [misc]simplify: iters left: 4 (37 enodes) 1544785035.412 * * [misc]simplify: iters left: 3 (66 enodes) 1544785035.445 * * [misc]simplify: iters left: 2 (180 enodes) 1544785035.608 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))) 1544785035.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))))) 1544785035.608 * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # 1544785035.608 * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # 1544785035.608 * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # 1544785035.609 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544785035.610 * * [misc]simplify: iters left: 6 (19 enodes) 1544785035.615 * * [misc]simplify: iters left: 5 (37 enodes) 1544785035.629 * * [misc]simplify: iters left: 4 (114 enodes) 1544785035.719 * * [misc]simplify: iters left: 3 (443 enodes) 1544785036.450 * [exit]simplify: Simplified to (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1544785036.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1544785036.451 * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # 1544785036.451 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785036.453 * * [misc]simplify: iters left: 6 (17 enodes) 1544785036.460 * * [misc]simplify: iters left: 5 (33 enodes) 1544785036.481 * * [misc]simplify: iters left: 4 (87 enodes) 1544785036.542 * * [misc]simplify: iters left: 3 (222 enodes) 1544785036.741 * [exit]simplify: Simplified to (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1544785036.742 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1544785036.742 * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # 1544785036.742 * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # 1544785036.742 * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # 1544785036.742 * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # 1544785036.742 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1544785036.743 * * [misc]simplify: iters left: 6 (11 enodes) 1544785036.748 * * [misc]simplify: iters left: 5 (16 enodes) 1544785036.754 * * [misc]simplify: iters left: 4 (19 enodes) 1544785036.761 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1544785036.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1544785036.761 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1544785036.762 * * [misc]simplify: iters left: 5 (7 enodes) 1544785036.765 * * [misc]simplify: iters left: 4 (8 enodes) 1544785036.768 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1544785036.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1544785036.768 * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # 1544785036.768 * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # 1544785036.768 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785036.770 * * [misc]simplify: iters left: 6 (11 enodes) 1544785036.774 * * [misc]simplify: iters left: 5 (14 enodes) 1544785036.779 * * [misc]simplify: iters left: 4 (17 enodes) 1544785036.787 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785036.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785036.787 * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # 1544785036.787 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785036.788 * * [misc]simplify: iters left: 6 (11 enodes) 1544785036.792 * * [misc]simplify: iters left: 5 (14 enodes) 1544785036.797 * * [misc]simplify: iters left: 4 (17 enodes) 1544785036.804 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785036.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785036.804 * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # 1544785036.805 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544785036.806 * * [misc]simplify: iters left: 6 (10 enodes) 1544785036.810 * * [misc]simplify: iters left: 5 (13 enodes) 1544785036.815 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544785036.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544785036.815 * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # 1544785036.815 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544785036.816 * * [misc]simplify: iters left: 6 (10 enodes) 1544785036.821 * * [misc]simplify: iters left: 5 (13 enodes) 1544785036.826 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544785036.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544785036.826 * * * * [misc]progress: [ 60 / 141 ] simplifiying candidate # 1544785036.826 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785036.827 * * [misc]simplify: iters left: 6 (9 enodes) 1544785036.830 * * [misc]simplify: iters left: 5 (12 enodes) 1544785036.835 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785036.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544785036.835 * * * * [misc]progress: [ 61 / 141 ] simplifiying candidate # 1544785036.835 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544785036.836 * * [misc]simplify: iters left: 6 (10 enodes) 1544785036.840 * * [misc]simplify: iters left: 5 (13 enodes) 1544785036.845 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544785036.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544785036.845 * * * * [misc]progress: [ 62 / 141 ] simplifiying candidate # 1544785036.845 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544785036.846 * * [misc]simplify: iters left: 6 (10 enodes) 1544785036.850 * * [misc]simplify: iters left: 5 (13 enodes) 1544785036.855 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544785036.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544785036.855 * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # 1544785036.855 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785036.856 * * [misc]simplify: iters left: 6 (9 enodes) 1544785036.860 * * [misc]simplify: iters left: 5 (12 enodes) 1544785036.864 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785036.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544785036.865 * * * * [misc]progress: [ 64 / 141 ] simplifiying candidate # 1544785036.865 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785036.866 * * [misc]simplify: iters left: 6 (9 enodes) 1544785036.869 * * [misc]simplify: iters left: 5 (11 enodes) 1544785036.873 * * [misc]simplify: iters left: 4 (14 enodes) 1544785036.878 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785036.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544785036.879 * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # 1544785036.879 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785036.880 * * [misc]simplify: iters left: 6 (9 enodes) 1544785036.883 * * [misc]simplify: iters left: 5 (11 enodes) 1544785036.887 * * [misc]simplify: iters left: 4 (14 enodes) 1544785036.892 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785036.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544785036.892 * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # 1544785036.893 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544785036.893 * * [misc]simplify: iters left: 6 (8 enodes) 1544785036.897 * * [misc]simplify: iters left: 5 (10 enodes) 1544785036.901 * * [misc]simplify: iters left: 4 (13 enodes) 1544785036.905 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544785036.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1544785036.905 * * * * [misc]progress: [ 67 / 141 ] simplifiying candidate # 1544785036.906 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785036.907 * * [misc]simplify: iters left: 6 (12 enodes) 1544785036.912 * * [misc]simplify: iters left: 5 (15 enodes) 1544785036.917 * * [misc]simplify: iters left: 4 (18 enodes) 1544785036.926 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785036.926 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544785036.926 * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # 1544785036.926 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785036.928 * * [misc]simplify: iters left: 6 (12 enodes) 1544785036.933 * * [misc]simplify: iters left: 5 (15 enodes) 1544785036.937 * * [misc]simplify: iters left: 4 (18 enodes) 1544785036.940 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785036.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544785036.940 * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # 1544785036.941 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785036.941 * * [misc]simplify: iters left: 6 (11 enodes) 1544785036.944 * * [misc]simplify: iters left: 5 (14 enodes) 1544785036.946 * * [misc]simplify: iters left: 4 (17 enodes) 1544785036.950 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785036.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544785036.950 * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # 1544785036.950 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785036.951 * * [misc]simplify: iters left: 6 (12 enodes) 1544785036.953 * * [misc]simplify: iters left: 5 (15 enodes) 1544785036.956 * * [misc]simplify: iters left: 4 (18 enodes) 1544785036.959 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785036.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544785036.960 * * * * [misc]progress: [ 71 / 141 ] simplifiying candidate # 1544785036.960 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785036.960 * * [misc]simplify: iters left: 6 (12 enodes) 1544785036.963 * * [misc]simplify: iters left: 5 (15 enodes) 1544785036.969 * * [misc]simplify: iters left: 4 (18 enodes) 1544785036.976 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785036.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544785036.976 * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # 1544785036.976 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785036.977 * * [misc]simplify: iters left: 6 (11 enodes) 1544785036.981 * * [misc]simplify: iters left: 5 (14 enodes) 1544785036.986 * * [misc]simplify: iters left: 4 (17 enodes) 1544785036.992 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785036.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544785036.992 * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # 1544785036.992 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785036.993 * * [misc]simplify: iters left: 6 (11 enodes) 1544785036.995 * * [misc]simplify: iters left: 5 (14 enodes) 1544785036.997 * * [misc]simplify: iters left: 4 (17 enodes) 1544785037.000 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785037.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544785037.000 * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # 1544785037.001 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785037.001 * * [misc]simplify: iters left: 6 (11 enodes) 1544785037.003 * * [misc]simplify: iters left: 5 (14 enodes) 1544785037.006 * * [misc]simplify: iters left: 4 (17 enodes) 1544785037.009 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785037.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544785037.009 * * * * [misc]progress: [ 75 / 141 ] simplifiying candidate # 1544785037.009 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785037.010 * * [misc]simplify: iters left: 6 (10 enodes) 1544785037.012 * * [misc]simplify: iters left: 5 (13 enodes) 1544785037.014 * * [misc]simplify: iters left: 4 (16 enodes) 1544785037.019 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785037.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785037.019 * * * * [misc]progress: [ 76 / 141 ] simplifiying candidate # 1544785037.019 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785037.020 * * [misc]simplify: iters left: 6 (10 enodes) 1544785037.024 * * [misc]simplify: iters left: 5 (13 enodes) 1544785037.028 * * [misc]simplify: iters left: 4 (16 enodes) 1544785037.031 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785037.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785037.031 * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # 1544785037.031 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544785037.032 * * [misc]simplify: iters left: 3 (4 enodes) 1544785037.032 * * [misc]simplify: iters left: 2 (6 enodes) 1544785037.033 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544785037.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1544785037.033 * * * * [misc]progress: [ 78 / 141 ] simplifiying candidate # 1544785037.034 * [enter]simplify: Simplifying (pow PI 1/2) 1544785037.034 * * [misc]simplify: iters left: 1 (3 enodes) 1544785037.034 * [exit]simplify: Simplified to (sqrt PI) 1544785037.034 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785037.034 * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # 1544785037.035 * [enter]simplify: Simplifying (pow PI 1/2) 1544785037.035 * * [misc]simplify: iters left: 1 (3 enodes) 1544785037.036 * [exit]simplify: Simplified to (sqrt PI) 1544785037.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785037.036 * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # 1544785037.036 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544785037.036 * * [misc]simplify: iters left: 6 (9 enodes) 1544785037.038 * * [misc]simplify: iters left: 5 (11 enodes) 1544785037.040 * * [misc]simplify: iters left: 4 (14 enodes) 1544785037.043 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544785037.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785037.043 * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # 1544785037.043 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1544785037.044 * * [misc]simplify: iters left: 6 (8 enodes) 1544785037.045 * * [misc]simplify: iters left: 5 (10 enodes) 1544785037.047 * * [misc]simplify: iters left: 4 (13 enodes) 1544785037.049 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544785037.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785037.049 * * * * [misc]progress: [ 82 / 141 ] simplifiying candidate # 1544785037.050 * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # 1544785037.050 * [enter]simplify: Simplifying (sqrt k) 1544785037.050 * * [misc]simplify: iters left: 1 (2 enodes) 1544785037.050 * [exit]simplify: Simplified to (sqrt k) 1544785037.050 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1544785037.050 * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # 1544785037.050 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785037.051 * * [misc]simplify: iters left: 6 (13 enodes) 1544785037.054 * * [misc]simplify: iters left: 5 (20 enodes) 1544785037.061 * * [misc]simplify: iters left: 4 (27 enodes) 1544785037.068 * * [misc]simplify: iters left: 3 (29 enodes) 1544785037.076 * * [misc]simplify: iters left: 2 (31 enodes) 1544785037.084 * * [misc]simplify: iters left: 1 (32 enodes) 1544785037.094 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544785037.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1544785037.094 * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # 1544785037.094 * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # 1544785037.094 * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # 1544785037.094 * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # 1544785037.095 * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # 1544785037.095 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785037.096 * * [misc]simplify: iters left: 6 (12 enodes) 1544785037.102 * * [misc]simplify: iters left: 5 (22 enodes) 1544785037.113 * * [misc]simplify: iters left: 4 (40 enodes) 1544785037.142 * * [misc]simplify: iters left: 3 (104 enodes) 1544785037.204 * * [misc]simplify: iters left: 2 (334 enodes) 1544785037.499 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785037.499 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544785037.499 * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # 1544785037.499 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785037.500 * * [misc]simplify: iters left: 6 (12 enodes) 1544785037.503 * * [misc]simplify: iters left: 5 (22 enodes) 1544785037.509 * * [misc]simplify: iters left: 4 (40 enodes) 1544785037.524 * * [misc]simplify: iters left: 3 (104 enodes) 1544785037.584 * * [misc]simplify: iters left: 2 (334 enodes) 1544785037.884 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785037.884 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544785037.884 * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # 1544785037.884 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544785037.885 * * [misc]simplify: iters left: 6 (12 enodes) 1544785037.888 * * [misc]simplify: iters left: 5 (19 enodes) 1544785037.893 * * [misc]simplify: iters left: 4 (29 enodes) 1544785037.899 * * [misc]simplify: iters left: 3 (46 enodes) 1544785037.918 * * [misc]simplify: iters left: 2 (134 enodes) 1544785037.996 * * [misc]simplify: iters left: 1 (437 enodes) 1544785038.384 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544785038.384 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544785038.384 * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # 1544785038.384 * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # 1544785038.384 * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # 1544785038.384 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544785038.386 * * [misc]simplify: iters left: 6 (14 enodes) 1544785038.392 * * [misc]simplify: iters left: 5 (26 enodes) 1544785038.399 * * [misc]simplify: iters left: 4 (57 enodes) 1544785038.415 * * [misc]simplify: iters left: 3 (112 enodes) 1544785038.460 * * [misc]simplify: iters left: 2 (189 enodes) 1544785038.555 * * [misc]simplify: iters left: 1 (316 enodes) 1544785038.755 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1544785038.755 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544785038.755 * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # 1544785038.755 * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # 1544785038.756 * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # 1544785038.756 * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # 1544785038.756 * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # 1544785038.756 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.757 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.761 * * [misc]simplify: iters left: 5 (14 enodes) 1544785038.766 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.766 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544785038.767 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544785038.768 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.771 * * [misc]simplify: iters left: 5 (13 enodes) 1544785038.776 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544785038.776 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1544785038.776 * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # 1544785038.776 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1544785038.777 * * [misc]simplify: iters left: 5 (9 enodes) 1544785038.780 * * [misc]simplify: iters left: 4 (11 enodes) 1544785038.784 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544785038.784 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544785038.784 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544785038.785 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.788 * * [misc]simplify: iters left: 5 (13 enodes) 1544785038.793 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544785038.793 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1544785038.793 * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # 1544785038.794 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1544785038.794 * * [misc]simplify: iters left: 5 (7 enodes) 1544785038.797 * * [misc]simplify: iters left: 4 (11 enodes) 1544785038.801 * * [misc]simplify: iters left: 3 (13 enodes) 1544785038.804 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544785038.804 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544785038.804 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785038.805 * * [misc]simplify: iters left: 6 (9 enodes) 1544785038.809 * * [misc]simplify: iters left: 5 (12 enodes) 1544785038.813 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785038.813 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544785038.813 * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # 1544785038.814 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.815 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.817 * * [misc]simplify: iters left: 5 (14 enodes) 1544785038.820 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.820 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544785038.820 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544785038.820 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.822 * * [misc]simplify: iters left: 5 (13 enodes) 1544785038.825 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544785038.825 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1544785038.825 * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # 1544785038.826 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1544785038.826 * * [misc]simplify: iters left: 5 (9 enodes) 1544785038.828 * * [misc]simplify: iters left: 4 (11 enodes) 1544785038.830 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544785038.830 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544785038.830 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544785038.830 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.832 * * [misc]simplify: iters left: 5 (13 enodes) 1544785038.835 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544785038.835 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1544785038.835 * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # 1544785038.835 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1544785038.837 * * [misc]simplify: iters left: 5 (7 enodes) 1544785038.838 * * [misc]simplify: iters left: 4 (11 enodes) 1544785038.841 * * [misc]simplify: iters left: 3 (13 enodes) 1544785038.842 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544785038.842 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544785038.842 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785038.843 * * [misc]simplify: iters left: 6 (9 enodes) 1544785038.845 * * [misc]simplify: iters left: 5 (12 enodes) 1544785038.847 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785038.847 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544785038.847 * * * * [misc]progress: [ 105 / 141 ] simplifiying candidate # 1544785038.847 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.848 * * [misc]simplify: iters left: 6 (11 enodes) 1544785038.850 * * [misc]simplify: iters left: 5 (15 enodes) 1544785038.853 * * [misc]simplify: iters left: 4 (18 enodes) 1544785038.856 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.856 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544785038.856 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785038.857 * * [misc]simplify: iters left: 6 (9 enodes) 1544785038.858 * * [misc]simplify: iters left: 5 (11 enodes) 1544785038.860 * * [misc]simplify: iters left: 4 (14 enodes) 1544785038.863 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785038.863 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544785038.863 * * * * [misc]progress: [ 106 / 141 ] simplifiying candidate # 1544785038.864 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785038.864 * * [misc]simplify: iters left: 6 (10 enodes) 1544785038.866 * * [misc]simplify: iters left: 5 (12 enodes) 1544785038.869 * * [misc]simplify: iters left: 4 (15 enodes) 1544785038.872 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785038.872 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544785038.872 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785038.873 * * [misc]simplify: iters left: 6 (9 enodes) 1544785038.874 * * [misc]simplify: iters left: 5 (11 enodes) 1544785038.876 * * [misc]simplify: iters left: 4 (14 enodes) 1544785038.879 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785038.879 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544785038.879 * * * * [misc]progress: [ 107 / 141 ] simplifiying candidate # 1544785038.879 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1544785038.880 * * [misc]simplify: iters left: 6 (9 enodes) 1544785038.881 * * [misc]simplify: iters left: 5 (13 enodes) 1544785038.884 * * [misc]simplify: iters left: 4 (18 enodes) 1544785038.887 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544785038.887 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1544785038.887 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544785038.888 * * [misc]simplify: iters left: 6 (8 enodes) 1544785038.890 * * [misc]simplify: iters left: 5 (10 enodes) 1544785038.892 * * [misc]simplify: iters left: 4 (13 enodes) 1544785038.894 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544785038.894 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1544785038.894 * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # 1544785038.895 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785038.896 * * [misc]simplify: iters left: 6 (14 enodes) 1544785038.902 * * [misc]simplify: iters left: 5 (23 enodes) 1544785038.912 * * [misc]simplify: iters left: 4 (35 enodes) 1544785038.924 * * [misc]simplify: iters left: 3 (38 enodes) 1544785038.938 * * [misc]simplify: iters left: 2 (41 enodes) 1544785038.955 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1544785038.955 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544785038.956 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785038.957 * * [misc]simplify: iters left: 6 (12 enodes) 1544785038.961 * * [misc]simplify: iters left: 5 (15 enodes) 1544785038.966 * * [misc]simplify: iters left: 4 (18 enodes) 1544785038.973 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785038.973 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544785038.973 * * * * [misc]progress: [ 109 / 141 ] simplifiying candidate # 1544785038.974 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544785038.975 * * [misc]simplify: iters left: 6 (13 enodes) 1544785038.980 * * [misc]simplify: iters left: 5 (18 enodes) 1544785038.986 * * [misc]simplify: iters left: 4 (23 enodes) 1544785038.993 * * [misc]simplify: iters left: 3 (24 enodes) 1544785039.004 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544785039.004 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544785039.004 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785039.006 * * [misc]simplify: iters left: 6 (12 enodes) 1544785039.010 * * [misc]simplify: iters left: 5 (15 enodes) 1544785039.016 * * [misc]simplify: iters left: 4 (18 enodes) 1544785039.023 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785039.023 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544785039.023 * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # 1544785039.023 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1544785039.025 * * [misc]simplify: iters left: 6 (12 enodes) 1544785039.030 * * [misc]simplify: iters left: 5 (19 enodes) 1544785039.038 * * [misc]simplify: iters left: 4 (28 enodes) 1544785039.049 * * [misc]simplify: iters left: 3 (42 enodes) 1544785039.067 * * [misc]simplify: iters left: 2 (68 enodes) 1544785039.088 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544785039.088 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544785039.089 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785039.090 * * [misc]simplify: iters left: 6 (11 enodes) 1544785039.094 * * [misc]simplify: iters left: 5 (14 enodes) 1544785039.099 * * [misc]simplify: iters left: 4 (17 enodes) 1544785039.105 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785039.105 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544785039.105 * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # 1544785039.106 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785039.108 * * [misc]simplify: iters left: 6 (13 enodes) 1544785039.113 * * [misc]simplify: iters left: 5 (18 enodes) 1544785039.119 * * [misc]simplify: iters left: 4 (21 enodes) 1544785039.127 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785039.127 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544785039.128 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785039.129 * * [misc]simplify: iters left: 6 (12 enodes) 1544785039.133 * * [misc]simplify: iters left: 5 (15 enodes) 1544785039.139 * * [misc]simplify: iters left: 4 (18 enodes) 1544785039.146 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785039.146 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544785039.146 * * * * [misc]progress: [ 112 / 141 ] simplifiying candidate # 1544785039.147 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785039.148 * * [misc]simplify: iters left: 6 (12 enodes) 1544785039.152 * * [misc]simplify: iters left: 5 (15 enodes) 1544785039.158 * * [misc]simplify: iters left: 4 (18 enodes) 1544785039.165 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785039.165 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544785039.165 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785039.167 * * [misc]simplify: iters left: 6 (12 enodes) 1544785039.169 * * [misc]simplify: iters left: 5 (15 enodes) 1544785039.172 * * [misc]simplify: iters left: 4 (18 enodes) 1544785039.176 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785039.176 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544785039.176 * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # 1544785039.176 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1544785039.177 * * [misc]simplify: iters left: 6 (11 enodes) 1544785039.180 * * [misc]simplify: iters left: 5 (16 enodes) 1544785039.183 * * [misc]simplify: iters left: 4 (21 enodes) 1544785039.187 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544785039.187 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544785039.187 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785039.192 * * [misc]simplify: iters left: 6 (11 enodes) 1544785039.197 * * [misc]simplify: iters left: 5 (14 enodes) 1544785039.202 * * [misc]simplify: iters left: 4 (17 enodes) 1544785039.208 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785039.208 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544785039.208 * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # 1544785039.209 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544785039.209 * * [misc]simplify: iters left: 6 (6 enodes) 1544785039.212 * * [misc]simplify: iters left: 5 (10 enodes) 1544785039.216 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544785039.216 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544785039.216 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785039.217 * * [misc]simplify: iters left: 6 (11 enodes) 1544785039.221 * * [misc]simplify: iters left: 5 (14 enodes) 1544785039.226 * * [misc]simplify: iters left: 4 (17 enodes) 1544785039.232 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785039.232 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544785039.232 * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # 1544785039.232 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544785039.232 * * [misc]simplify: iters left: 4 (5 enodes) 1544785039.233 * * [misc]simplify: iters left: 3 (7 enodes) 1544785039.234 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544785039.234 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544785039.235 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785039.235 * * [misc]simplify: iters left: 6 (11 enodes) 1544785039.237 * * [misc]simplify: iters left: 5 (14 enodes) 1544785039.240 * * [misc]simplify: iters left: 4 (17 enodes) 1544785039.243 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785039.243 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544785039.243 * * * * [misc]progress: [ 116 / 141 ] simplifiying candidate # 1544785039.244 * [enter]simplify: Simplifying (/ 1 1) 1544785039.244 * * [misc]simplify: iters left: 2 (2 enodes) 1544785039.244 * * [misc]simplify: iters left: 1 (4 enodes) 1544785039.245 * [exit]simplify: Simplified to 1 1544785039.245 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785039.245 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785039.245 * * [misc]simplify: iters left: 6 (10 enodes) 1544785039.247 * * [misc]simplify: iters left: 5 (13 enodes) 1544785039.250 * * [misc]simplify: iters left: 4 (16 enodes) 1544785039.253 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785039.253 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785039.253 * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # 1544785039.253 * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # 1544785039.253 * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # 1544785039.253 * * * * [misc]progress: [ 120 / 141 ] simplifiying candidate # 1544785039.253 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544785039.253 * * [misc]simplify: iters left: 2 (3 enodes) 1544785039.254 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544785039.254 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1544785039.254 * * * * [misc]progress: [ 121 / 141 ] simplifiying candidate # 1544785039.254 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544785039.254 * * [misc]simplify: iters left: 2 (3 enodes) 1544785039.255 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544785039.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544785039.255 * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # 1544785039.255 * [enter]simplify: Simplifying (sqrt k) 1544785039.255 * * [misc]simplify: iters left: 1 (2 enodes) 1544785039.255 * [exit]simplify: Simplified to (sqrt k) 1544785039.255 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1544785039.255 * * * * [misc]progress: [ 123 / 141 ] simplifiying candidate # 1544785039.256 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1544785039.256 * * [misc]simplify: iters left: 3 (5 enodes) 1544785039.257 * * [misc]simplify: iters left: 2 (7 enodes) 1544785039.258 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544785039.258 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1544785039.258 * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # 1544785039.259 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1544785039.259 * * [misc]simplify: iters left: 3 (5 enodes) 1544785039.260 * * [misc]simplify: iters left: 2 (7 enodes) 1544785039.261 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544785039.261 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1544785039.261 * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # 1544785039.261 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544785039.262 * * [misc]simplify: iters left: 5 (7 enodes) 1544785039.263 * * [misc]simplify: iters left: 4 (9 enodes) 1544785039.265 * * [misc]simplify: iters left: 3 (12 enodes) 1544785039.268 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544785039.268 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1544785039.268 * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # 1544785039.268 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544785039.269 * * [misc]simplify: iters left: 6 (10 enodes) 1544785039.273 * * [misc]simplify: iters left: 5 (13 enodes) 1544785039.278 * * [misc]simplify: iters left: 4 (16 enodes) 1544785039.285 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544785039.285 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544785039.285 * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # 1544785039.285 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544785039.286 * * [misc]simplify: iters left: 6 (9 enodes) 1544785039.290 * * [misc]simplify: iters left: 5 (12 enodes) 1544785039.295 * * [misc]simplify: iters left: 4 (15 enodes) 1544785039.300 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544785039.300 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544785039.300 * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # 1544785039.300 * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # 1544785039.301 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1544785039.303 * * [misc]simplify: iters left: 3 (5 enodes) 1544785039.305 * * [misc]simplify: iters left: 2 (7 enodes) 1544785039.308 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544785039.308 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1544785039.308 * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # 1544785039.308 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1544785039.312 * * [misc]simplify: iters left: 6 (35 enodes) 1544785039.337 * * [misc]simplify: iters left: 5 (102 enodes) 1544785039.406 * * [misc]simplify: iters left: 4 (321 enodes) 1544785039.906 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1544785039.906 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) (sqrt k)))) 1544785039.906 * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # 1544785039.906 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544785039.907 * * [misc]simplify: iters left: 6 (13 enodes) 1544785039.913 * * [misc]simplify: iters left: 5 (27 enodes) 1544785039.920 * * [misc]simplify: iters left: 4 (53 enodes) 1544785039.936 * * [misc]simplify: iters left: 3 (124 enodes) 1544785040.012 * * [misc]simplify: iters left: 2 (394 enodes) 1544785040.711 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1544785040.711 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) 1544785040.711 * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # 1544785040.711 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544785040.712 * * [misc]simplify: iters left: 6 (13 enodes) 1544785040.717 * * [misc]simplify: iters left: 5 (24 enodes) 1544785040.724 * * [misc]simplify: iters left: 4 (54 enodes) 1544785040.754 * * [misc]simplify: iters left: 3 (151 enodes) 1544785040.952 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1544785040.952 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k)))) 1544785040.953 * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # 1544785040.953 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1544785040.955 * * [misc]simplify: iters left: 6 (18 enodes) 1544785040.965 * * [misc]simplify: iters left: 5 (39 enodes) 1544785040.991 * * [misc]simplify: iters left: 4 (110 enodes) 1544785041.045 * * [misc]simplify: iters left: 3 (321 enodes) 1544785041.404 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1544785041.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785041.405 * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # 1544785041.405 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544785041.406 * * [misc]simplify: iters left: 5 (6 enodes) 1544785041.408 * * [misc]simplify: iters left: 4 (9 enodes) 1544785041.415 * * [misc]simplify: iters left: 3 (17 enodes) 1544785041.422 * * [misc]simplify: iters left: 2 (24 enodes) 1544785041.428 * * [misc]simplify: iters left: 1 (28 enodes) 1544785041.443 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544785041.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785041.443 * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # 1544785041.443 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544785041.444 * * [misc]simplify: iters left: 5 (6 enodes) 1544785041.446 * * [misc]simplify: iters left: 4 (9 enodes) 1544785041.451 * * [misc]simplify: iters left: 3 (17 enodes) 1544785041.457 * * [misc]simplify: iters left: 2 (24 enodes) 1544785041.462 * * [misc]simplify: iters left: 1 (28 enodes) 1544785041.470 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544785041.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (fma k -1/2 1/2)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785041.470 * * * * [misc]progress: [ 136 / 141 ] simplifiying candidate # 1544785041.470 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1544785041.470 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785041.470 * * * * [misc]progress: [ 137 / 141 ] simplifiying candidate # 1544785041.470 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1544785041.470 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785041.470 * * * * [misc]progress: [ 138 / 141 ] simplifiying candidate # 1544785041.471 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544785041.471 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785041.471 * * * * [misc]progress: [ 139 / 141 ] simplifiying candidate # 1544785041.471 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1544785041.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544785041.471 * * * * [misc]progress: [ 140 / 141 ] simplifiying candidate # 1544785041.471 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544785041.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544785041.471 * * * * [misc]progress: [ 141 / 141 ] simplifiying candidate # 1544785041.471 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1544785041.471 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544785041.471 * * * [misc]progress: adding candidates to table 1544785044.750 * * [misc]progress: iteration 4 / 4 1544785044.750 * * * [misc]progress: picking best candidate 1544785044.817 * * * * [misc]pick: Picked # 1544785044.817 * * * [misc]progress: localizing error 1544785044.828 * * * [misc]progress: generating rewritten candidates 1544785044.828 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544785044.845 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1544785044.857 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1544785044.875 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544785045.060 * * * [misc]progress: generating series expansions 1544785045.060 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544785045.060 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544785045.060 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544785045.060 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785045.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785045.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785045.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.061 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.061 * [misc]taylor: Taking taylor expansion of k in k 1544785045.061 * [misc]backup-simplify: Simplify 0 into 0 1544785045.061 * [misc]backup-simplify: Simplify 1 into 1 1544785045.061 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785045.061 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785045.061 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.061 * [misc]backup-simplify: Simplify 2 into 2 1544785045.061 * [misc]taylor: Taking taylor expansion of n in k 1544785045.061 * [misc]backup-simplify: Simplify n into n 1544785045.061 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785045.061 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785045.061 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.061 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.061 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.061 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785045.061 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785045.061 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785045.061 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785045.061 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785045.061 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785045.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.062 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785045.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.062 * [misc]taylor: Taking taylor expansion of k in n 1544785045.062 * [misc]backup-simplify: Simplify k into k 1544785045.062 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.062 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.062 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.062 * [misc]backup-simplify: Simplify 2 into 2 1544785045.062 * [misc]taylor: Taking taylor expansion of n in n 1544785045.062 * [misc]backup-simplify: Simplify 0 into 0 1544785045.062 * [misc]backup-simplify: Simplify 1 into 1 1544785045.062 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.062 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.062 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.062 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785045.062 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785045.062 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785045.062 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.063 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785045.063 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785045.063 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.063 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.063 * [misc]taylor: Taking taylor expansion of k in n 1544785045.063 * [misc]backup-simplify: Simplify k into k 1544785045.063 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.063 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.063 * [misc]backup-simplify: Simplify 2 into 2 1544785045.063 * [misc]taylor: Taking taylor expansion of n in n 1544785045.063 * [misc]backup-simplify: Simplify 0 into 0 1544785045.063 * [misc]backup-simplify: Simplify 1 into 1 1544785045.063 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.064 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.064 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.064 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785045.064 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785045.064 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785045.064 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.064 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785045.064 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785045.065 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.065 * [misc]backup-simplify: Simplify 2 into 2 1544785045.065 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.065 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of n in k 1544785045.065 * [misc]backup-simplify: Simplify n into n 1544785045.065 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785045.065 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.065 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.065 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.065 * [misc]taylor: Taking taylor expansion of k in k 1544785045.065 * [misc]backup-simplify: Simplify 0 into 0 1544785045.065 * [misc]backup-simplify: Simplify 1 into 1 1544785045.065 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544785045.065 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.065 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.065 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.066 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544785045.066 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544785045.066 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544785045.066 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.068 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785045.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544785045.068 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.068 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.068 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.068 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544785045.069 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.069 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.069 * [misc]backup-simplify: Simplify 0 into 0 1544785045.069 * [misc]backup-simplify: Simplify 0 into 0 1544785045.069 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785045.070 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.070 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.071 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785045.072 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544785045.072 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.072 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544785045.073 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1544785045.073 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1544785045.073 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785045.076 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785045.076 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544785045.076 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.076 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.076 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.077 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544785045.078 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785045.078 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.078 * [misc]backup-simplify: Simplify 0 into 0 1544785045.078 * [misc]backup-simplify: Simplify 0 into 0 1544785045.078 * [misc]backup-simplify: Simplify 0 into 0 1544785045.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.078 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.081 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785045.082 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544785045.082 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.083 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544785045.085 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1544785045.086 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1544785045.090 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1544785045.090 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.090 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544785045.090 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of k in k 1544785045.090 * [misc]backup-simplify: Simplify 0 into 0 1544785045.090 * [misc]backup-simplify: Simplify 1 into 1 1544785045.090 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.090 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785045.090 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.090 * [misc]backup-simplify: Simplify 2 into 2 1544785045.090 * [misc]taylor: Taking taylor expansion of n in k 1544785045.090 * [misc]backup-simplify: Simplify n into n 1544785045.090 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785045.090 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785045.091 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.091 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.091 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.091 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785045.091 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.091 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.091 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of k in n 1544785045.091 * [misc]backup-simplify: Simplify k into k 1544785045.091 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.091 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785045.091 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.091 * [misc]backup-simplify: Simplify 2 into 2 1544785045.091 * [misc]taylor: Taking taylor expansion of n in n 1544785045.091 * [misc]backup-simplify: Simplify 0 into 0 1544785045.091 * [misc]backup-simplify: Simplify 1 into 1 1544785045.091 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785045.092 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.092 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.092 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.092 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.092 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.092 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785045.092 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.092 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.092 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785045.092 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785045.092 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.093 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.093 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.093 * [misc]taylor: Taking taylor expansion of k in n 1544785045.093 * [misc]backup-simplify: Simplify k into k 1544785045.093 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.093 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785045.093 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785045.093 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.093 * [misc]backup-simplify: Simplify 2 into 2 1544785045.093 * [misc]taylor: Taking taylor expansion of n in n 1544785045.093 * [misc]backup-simplify: Simplify 0 into 0 1544785045.093 * [misc]backup-simplify: Simplify 1 into 1 1544785045.093 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785045.093 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.093 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.093 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.093 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.094 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785045.094 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.094 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544785045.094 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544785045.094 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.094 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.094 * [misc]taylor: Taking taylor expansion of k in k 1544785045.094 * [misc]backup-simplify: Simplify 0 into 0 1544785045.094 * [misc]backup-simplify: Simplify 1 into 1 1544785045.094 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.094 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544785045.094 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544785045.095 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.095 * [misc]backup-simplify: Simplify 2 into 2 1544785045.095 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.095 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785045.095 * [misc]taylor: Taking taylor expansion of n in k 1544785045.095 * [misc]backup-simplify: Simplify n into n 1544785045.095 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785045.095 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.095 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.095 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.095 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785045.095 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544785045.095 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544785045.096 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.096 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.096 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544785045.098 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785045.098 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.098 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785045.098 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.098 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.098 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.099 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544785045.099 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.099 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.099 * [misc]backup-simplify: Simplify 0 into 0 1544785045.099 * [misc]backup-simplify: Simplify 0 into 0 1544785045.099 * [misc]backup-simplify: Simplify 0 into 0 1544785045.100 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785045.102 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544785045.102 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785045.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785045.103 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.103 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544785045.105 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785045.105 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.105 * [misc]backup-simplify: Simplify 0 into 0 1544785045.105 * [misc]backup-simplify: Simplify 0 into 0 1544785045.105 * [misc]backup-simplify: Simplify 0 into 0 1544785045.105 * [misc]backup-simplify: Simplify 0 into 0 1544785045.105 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785045.109 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1544785045.109 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785045.110 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785045.110 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.110 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.110 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.111 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544785045.113 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544785045.114 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.114 * [misc]backup-simplify: Simplify 0 into 0 1544785045.114 * [misc]backup-simplify: Simplify 0 into 0 1544785045.114 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544785045.114 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.114 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544785045.114 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.114 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785045.114 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785045.114 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.114 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.115 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.115 * [misc]taylor: Taking taylor expansion of k in k 1544785045.115 * [misc]backup-simplify: Simplify 0 into 0 1544785045.115 * [misc]backup-simplify: Simplify 1 into 1 1544785045.115 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.115 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.115 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785045.115 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785045.115 * [misc]taylor: Taking taylor expansion of -2 in k 1544785045.115 * [misc]backup-simplify: Simplify -2 into -2 1544785045.115 * [misc]taylor: Taking taylor expansion of n in k 1544785045.115 * [misc]backup-simplify: Simplify n into n 1544785045.115 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785045.115 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785045.115 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.115 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.116 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785045.116 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.116 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.116 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of k in n 1544785045.116 * [misc]backup-simplify: Simplify k into k 1544785045.116 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.116 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785045.116 * [misc]taylor: Taking taylor expansion of -2 in n 1544785045.116 * [misc]backup-simplify: Simplify -2 into -2 1544785045.116 * [misc]taylor: Taking taylor expansion of n in n 1544785045.116 * [misc]backup-simplify: Simplify 0 into 0 1544785045.116 * [misc]backup-simplify: Simplify 1 into 1 1544785045.117 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785045.117 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.117 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.117 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.117 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.118 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785045.118 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.118 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of k in n 1544785045.118 * [misc]backup-simplify: Simplify k into k 1544785045.118 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.118 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785045.118 * [misc]taylor: Taking taylor expansion of -2 in n 1544785045.119 * [misc]backup-simplify: Simplify -2 into -2 1544785045.119 * [misc]taylor: Taking taylor expansion of n in n 1544785045.119 * [misc]backup-simplify: Simplify 0 into 0 1544785045.119 * [misc]backup-simplify: Simplify 1 into 1 1544785045.119 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785045.119 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.119 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.119 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.119 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.120 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785045.120 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.120 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544785045.120 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544785045.120 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.120 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.120 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.120 * [misc]taylor: Taking taylor expansion of k in k 1544785045.120 * [misc]backup-simplify: Simplify 0 into 0 1544785045.120 * [misc]backup-simplify: Simplify 1 into 1 1544785045.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.121 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544785045.121 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544785045.121 * [misc]taylor: Taking taylor expansion of -2 in k 1544785045.121 * [misc]backup-simplify: Simplify -2 into -2 1544785045.121 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.121 * [misc]taylor: Taking taylor expansion of (log n) in k 1544785045.121 * [misc]taylor: Taking taylor expansion of n in k 1544785045.121 * [misc]backup-simplify: Simplify n into n 1544785045.121 * [misc]backup-simplify: Simplify (log n) into (log n) 1544785045.121 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.121 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.121 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544785045.122 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544785045.122 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544785045.122 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.122 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.123 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544785045.125 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544785045.125 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.126 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785045.126 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.126 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.126 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544785045.128 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.128 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.128 * [misc]backup-simplify: Simplify 0 into 0 1544785045.128 * [misc]backup-simplify: Simplify 0 into 0 1544785045.128 * [misc]backup-simplify: Simplify 0 into 0 1544785045.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785045.138 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544785045.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785045.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544785045.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.139 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.139 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544785045.141 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544785045.141 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.141 * [misc]backup-simplify: Simplify 0 into 0 1544785045.141 * [misc]backup-simplify: Simplify 0 into 0 1544785045.141 * [misc]backup-simplify: Simplify 0 into 0 1544785045.141 * [misc]backup-simplify: Simplify 0 into 0 1544785045.141 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785045.145 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1544785045.146 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544785045.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544785045.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.146 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.147 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544785045.149 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544785045.149 * [misc]taylor: Taking taylor expansion of 0 in k 1544785045.149 * [misc]backup-simplify: Simplify 0 into 0 1544785045.149 * [misc]backup-simplify: Simplify 0 into 0 1544785045.149 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544785045.149 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1544785045.150 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.150 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544785045.150 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785045.150 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785045.150 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785045.150 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.150 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.150 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.150 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.150 * [misc]taylor: Taking taylor expansion of k in k 1544785045.150 * [misc]backup-simplify: Simplify 0 into 0 1544785045.150 * [misc]backup-simplify: Simplify 1 into 1 1544785045.150 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.150 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.150 * [misc]backup-simplify: Simplify PI into PI 1544785045.150 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.150 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.151 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.151 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.151 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.152 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785045.152 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785045.152 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785045.152 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785045.152 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.152 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.152 * [misc]taylor: Taking taylor expansion of k in k 1544785045.152 * [misc]backup-simplify: Simplify 0 into 0 1544785045.152 * [misc]backup-simplify: Simplify 1 into 1 1544785045.152 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.152 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.152 * [misc]backup-simplify: Simplify PI into PI 1544785045.152 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.152 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.152 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.152 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.153 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.153 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785045.154 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544785045.155 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785045.155 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785045.155 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.156 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.156 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544785045.158 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785045.159 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785045.162 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544785045.162 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.162 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544785045.167 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785045.168 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785045.171 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1544785045.171 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.171 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544785045.171 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.171 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785045.171 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785045.171 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.171 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.171 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.171 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.171 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.172 * [misc]taylor: Taking taylor expansion of k in k 1544785045.172 * [misc]backup-simplify: Simplify 0 into 0 1544785045.172 * [misc]backup-simplify: Simplify 1 into 1 1544785045.172 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.172 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.172 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.172 * [misc]backup-simplify: Simplify PI into PI 1544785045.172 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.172 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.173 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.173 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.173 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785045.174 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.174 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of k in k 1544785045.174 * [misc]backup-simplify: Simplify 0 into 0 1544785045.174 * [misc]backup-simplify: Simplify 1 into 1 1544785045.174 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.174 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.174 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.175 * [misc]backup-simplify: Simplify PI into PI 1544785045.175 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.175 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.175 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.175 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.176 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785045.176 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.177 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.177 * [misc]backup-simplify: Simplify 0 into 0 1544785045.177 * [misc]backup-simplify: Simplify 0 into 0 1544785045.177 * [misc]backup-simplify: Simplify 0 into 0 1544785045.177 * [misc]backup-simplify: Simplify 0 into 0 1544785045.177 * [misc]backup-simplify: Simplify 0 into 0 1544785045.177 * [misc]backup-simplify: Simplify 0 into 0 1544785045.177 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.177 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.177 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544785045.177 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.177 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785045.177 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785045.177 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.177 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.177 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.178 * [misc]taylor: Taking taylor expansion of k in k 1544785045.178 * [misc]backup-simplify: Simplify 0 into 0 1544785045.178 * [misc]backup-simplify: Simplify 1 into 1 1544785045.178 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.178 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.178 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.178 * [misc]backup-simplify: Simplify PI into PI 1544785045.178 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.178 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.179 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.179 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.180 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.180 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of k in k 1544785045.180 * [misc]backup-simplify: Simplify 0 into 0 1544785045.180 * [misc]backup-simplify: Simplify 1 into 1 1544785045.180 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.180 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.180 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.180 * [misc]backup-simplify: Simplify PI into PI 1544785045.181 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.181 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.182 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.182 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.182 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.182 * [misc]backup-simplify: Simplify 0 into 0 1544785045.182 * [misc]backup-simplify: Simplify 0 into 0 1544785045.182 * [misc]backup-simplify: Simplify 0 into 0 1544785045.182 * [misc]backup-simplify: Simplify 0 into 0 1544785045.183 * [misc]backup-simplify: Simplify 0 into 0 1544785045.183 * [misc]backup-simplify: Simplify 0 into 0 1544785045.183 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.183 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1544785045.183 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.183 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544785045.183 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785045.183 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785045.183 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785045.183 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.183 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.184 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.184 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.184 * [misc]taylor: Taking taylor expansion of k in k 1544785045.184 * [misc]backup-simplify: Simplify 0 into 0 1544785045.184 * [misc]backup-simplify: Simplify 1 into 1 1544785045.184 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.184 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.184 * [misc]backup-simplify: Simplify PI into PI 1544785045.184 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.184 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.185 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.185 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.186 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.186 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785045.186 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785045.187 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785045.187 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785045.187 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.187 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.187 * [misc]taylor: Taking taylor expansion of k in k 1544785045.187 * [misc]backup-simplify: Simplify 0 into 0 1544785045.187 * [misc]backup-simplify: Simplify 1 into 1 1544785045.187 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.187 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.187 * [misc]backup-simplify: Simplify PI into PI 1544785045.187 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.188 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.188 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.188 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.188 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.189 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785045.190 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544785045.193 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785045.193 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785045.193 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.194 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.195 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544785045.199 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785045.200 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785045.206 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544785045.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.206 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544785045.214 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785045.216 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785045.221 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1544785045.221 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.221 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544785045.221 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.222 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.222 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.222 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of k in k 1544785045.222 * [misc]backup-simplify: Simplify 0 into 0 1544785045.222 * [misc]backup-simplify: Simplify 1 into 1 1544785045.222 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.222 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.222 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.222 * [misc]backup-simplify: Simplify PI into PI 1544785045.223 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.223 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.223 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.223 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.224 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785045.224 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.224 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.224 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785045.224 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785045.224 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.225 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.225 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.225 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.225 * [misc]taylor: Taking taylor expansion of k in k 1544785045.225 * [misc]backup-simplify: Simplify 0 into 0 1544785045.225 * [misc]backup-simplify: Simplify 1 into 1 1544785045.225 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.225 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.225 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.225 * [misc]backup-simplify: Simplify PI into PI 1544785045.225 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.225 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.226 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.226 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.226 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785045.227 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.227 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.227 * [misc]backup-simplify: Simplify 0 into 0 1544785045.227 * [misc]backup-simplify: Simplify 0 into 0 1544785045.227 * [misc]backup-simplify: Simplify 0 into 0 1544785045.227 * [misc]backup-simplify: Simplify 0 into 0 1544785045.227 * [misc]backup-simplify: Simplify 0 into 0 1544785045.227 * [misc]backup-simplify: Simplify 0 into 0 1544785045.227 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.228 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.228 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544785045.228 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.228 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of k in k 1544785045.228 * [misc]backup-simplify: Simplify 0 into 0 1544785045.228 * [misc]backup-simplify: Simplify 1 into 1 1544785045.228 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.228 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.228 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.228 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.228 * [misc]backup-simplify: Simplify PI into PI 1544785045.229 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.229 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.229 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.230 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.230 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.230 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.230 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785045.230 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785045.230 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.230 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.230 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.230 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.230 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.230 * [misc]taylor: Taking taylor expansion of k in k 1544785045.230 * [misc]backup-simplify: Simplify 0 into 0 1544785045.230 * [misc]backup-simplify: Simplify 1 into 1 1544785045.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.231 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.231 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.231 * [misc]backup-simplify: Simplify PI into PI 1544785045.231 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.231 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.231 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.232 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.232 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.232 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.232 * [misc]backup-simplify: Simplify 0 into 0 1544785045.232 * [misc]backup-simplify: Simplify 0 into 0 1544785045.232 * [misc]backup-simplify: Simplify 0 into 0 1544785045.232 * [misc]backup-simplify: Simplify 0 into 0 1544785045.232 * [misc]backup-simplify: Simplify 0 into 0 1544785045.232 * [misc]backup-simplify: Simplify 0 into 0 1544785045.232 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.232 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544785045.233 * [misc]backup-simplify: Simplify (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1544785045.233 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1544785045.233 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.233 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.233 * [misc]taylor: Taking taylor expansion of k in n 1544785045.233 * [misc]backup-simplify: Simplify k into k 1544785045.233 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.233 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.233 * [misc]backup-simplify: Simplify 2 into 2 1544785045.233 * [misc]taylor: Taking taylor expansion of n in n 1544785045.233 * [misc]backup-simplify: Simplify 0 into 0 1544785045.233 * [misc]backup-simplify: Simplify 1 into 1 1544785045.234 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.234 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.234 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.234 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785045.234 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785045.234 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785045.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.234 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544785045.235 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544785045.235 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544785045.235 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544785045.235 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544785045.235 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544785045.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.235 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544785045.235 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.235 * [misc]taylor: Taking taylor expansion of k in n 1544785045.235 * [misc]backup-simplify: Simplify k into k 1544785045.235 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.235 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.235 * [misc]backup-simplify: Simplify PI into PI 1544785045.235 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.235 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544785045.235 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544785045.235 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544785045.235 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544785045.236 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544785045.236 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544785045.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.236 * [misc]taylor: Taking taylor expansion of k in n 1544785045.236 * [misc]backup-simplify: Simplify k into k 1544785045.236 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.236 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544785045.236 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.236 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544785045.236 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.236 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.236 * [misc]taylor: Taking taylor expansion of k in k 1544785045.236 * [misc]backup-simplify: Simplify 0 into 0 1544785045.236 * [misc]backup-simplify: Simplify 1 into 1 1544785045.236 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785045.236 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.236 * [misc]backup-simplify: Simplify 2 into 2 1544785045.236 * [misc]taylor: Taking taylor expansion of n in k 1544785045.236 * [misc]backup-simplify: Simplify n into n 1544785045.236 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785045.236 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785045.237 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.237 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.237 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.237 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785045.237 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785045.237 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785045.237 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785045.237 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785045.237 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.237 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.237 * [misc]taylor: Taking taylor expansion of k in k 1544785045.237 * [misc]backup-simplify: Simplify 0 into 0 1544785045.237 * [misc]backup-simplify: Simplify 1 into 1 1544785045.237 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.237 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.237 * [misc]backup-simplify: Simplify PI into PI 1544785045.237 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.237 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.238 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.238 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.238 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.239 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785045.239 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of k in k 1544785045.239 * [misc]backup-simplify: Simplify 0 into 0 1544785045.239 * [misc]backup-simplify: Simplify 1 into 1 1544785045.239 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.239 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.239 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785045.239 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.239 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.239 * [misc]taylor: Taking taylor expansion of k in k 1544785045.239 * [misc]backup-simplify: Simplify 0 into 0 1544785045.239 * [misc]backup-simplify: Simplify 1 into 1 1544785045.239 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544785045.239 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.239 * [misc]backup-simplify: Simplify 2 into 2 1544785045.239 * [misc]taylor: Taking taylor expansion of n in k 1544785045.239 * [misc]backup-simplify: Simplify n into n 1544785045.240 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544785045.240 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544785045.240 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.240 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.240 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.240 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544785045.240 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544785045.240 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544785045.240 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544785045.240 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544785045.240 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544785045.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.240 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544785045.240 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.240 * [misc]taylor: Taking taylor expansion of k in k 1544785045.240 * [misc]backup-simplify: Simplify 0 into 0 1544785045.240 * [misc]backup-simplify: Simplify 1 into 1 1544785045.240 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.240 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.240 * [misc]backup-simplify: Simplify PI into PI 1544785045.241 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.241 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544785045.241 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.241 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.241 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.242 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544785045.242 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544785045.242 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.242 * [misc]taylor: Taking taylor expansion of k in k 1544785045.242 * [misc]backup-simplify: Simplify 0 into 0 1544785045.242 * [misc]backup-simplify: Simplify 1 into 1 1544785045.242 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.242 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.242 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785045.243 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544785045.243 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544785045.243 * [misc]taylor: Taking taylor expansion of 0 in n 1544785045.243 * [misc]backup-simplify: Simplify 0 into 0 1544785045.243 * [misc]backup-simplify: Simplify 0 into 0 1544785045.245 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785045.245 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785045.245 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.245 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.246 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544785045.248 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544785045.248 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544785045.249 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544785045.249 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544785045.249 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.249 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544785045.250 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1544785045.251 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1544785045.252 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1544785045.252 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544785045.252 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785045.252 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.252 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.252 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785045.252 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.252 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.252 * [misc]backup-simplify: Simplify 2 into 2 1544785045.252 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.253 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.253 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785045.253 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785045.253 * [misc]taylor: Taking taylor expansion of n in n 1544785045.253 * [misc]backup-simplify: Simplify 0 into 0 1544785045.253 * [misc]backup-simplify: Simplify 1 into 1 1544785045.253 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.253 * [misc]backup-simplify: Simplify PI into PI 1544785045.253 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785045.253 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785045.253 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.254 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.254 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785045.254 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.254 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.254 * [misc]backup-simplify: Simplify 0 into 0 1544785045.254 * [misc]backup-simplify: Simplify 0 into 0 1544785045.254 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544785045.255 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785045.258 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544785045.258 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.258 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.259 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544785045.265 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544785045.265 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544785045.267 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1544785045.267 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.268 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544785045.270 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1544785045.276 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1544785045.284 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1544785045.284 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1544785045.284 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1544785045.284 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544785045.285 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.285 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.285 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544785045.285 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544785045.285 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.285 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.285 * [misc]backup-simplify: Simplify 2 into 2 1544785045.285 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.285 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.285 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.285 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.285 * [misc]backup-simplify: Simplify PI into PI 1544785045.286 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.286 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785045.286 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785045.286 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.286 * [misc]backup-simplify: Simplify PI into PI 1544785045.286 * [misc]taylor: Taking taylor expansion of n in n 1544785045.286 * [misc]backup-simplify: Simplify 0 into 0 1544785045.286 * [misc]backup-simplify: Simplify 1 into 1 1544785045.286 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785045.287 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785045.287 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.288 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.288 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.288 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.288 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.288 * [misc]backup-simplify: Simplify 2 into 2 1544785045.288 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.288 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.288 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785045.288 * [misc]taylor: Taking taylor expansion of n in n 1544785045.288 * [misc]backup-simplify: Simplify 0 into 0 1544785045.288 * [misc]backup-simplify: Simplify 1 into 1 1544785045.288 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.289 * [misc]backup-simplify: Simplify PI into PI 1544785045.289 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785045.290 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785045.290 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.290 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.290 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544785045.290 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544785045.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.290 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544785045.290 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544785045.290 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.290 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.290 * [misc]backup-simplify: Simplify 2 into 2 1544785045.291 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.291 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.291 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.291 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.291 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.291 * [misc]backup-simplify: Simplify 2 into 2 1544785045.291 * [misc]taylor: Taking taylor expansion of n in n 1544785045.291 * [misc]backup-simplify: Simplify 0 into 0 1544785045.291 * [misc]backup-simplify: Simplify 1 into 1 1544785045.291 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.291 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.292 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.292 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785045.292 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785045.292 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.292 * [misc]backup-simplify: Simplify PI into PI 1544785045.292 * [misc]taylor: Taking taylor expansion of n in n 1544785045.292 * [misc]backup-simplify: Simplify 0 into 0 1544785045.292 * [misc]backup-simplify: Simplify 1 into 1 1544785045.292 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785045.293 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785045.293 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.293 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.294 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544785045.295 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544785045.295 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.295 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785045.296 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.296 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.296 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544785045.297 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544785045.297 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.297 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.297 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.298 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.298 * [misc]backup-simplify: Simplify 0 into 0 1544785045.299 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785045.301 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785045.302 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785045.304 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785045.304 * [misc]backup-simplify: Simplify 0 into 0 1544785045.304 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785045.305 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785045.314 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1544785045.315 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785045.315 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.315 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544785045.326 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1544785045.326 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544785045.330 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1544785045.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544785045.330 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544785045.334 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1544785045.347 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1544785045.367 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1544785045.367 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1544785045.367 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1544785045.367 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544785045.367 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.367 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.367 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544785045.367 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544785045.367 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.367 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.367 * [misc]backup-simplify: Simplify 2 into 2 1544785045.368 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.368 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.368 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.368 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.368 * [misc]backup-simplify: Simplify PI into PI 1544785045.369 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.369 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785045.369 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785045.369 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.369 * [misc]backup-simplify: Simplify PI into PI 1544785045.369 * [misc]taylor: Taking taylor expansion of n in n 1544785045.369 * [misc]backup-simplify: Simplify 0 into 0 1544785045.369 * [misc]backup-simplify: Simplify 1 into 1 1544785045.369 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785045.369 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785045.369 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.370 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.370 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.370 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.370 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.370 * [misc]backup-simplify: Simplify 2 into 2 1544785045.370 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.370 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.370 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.370 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.370 * [misc]backup-simplify: Simplify PI into PI 1544785045.370 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.370 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785045.371 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785045.371 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.371 * [misc]backup-simplify: Simplify PI into PI 1544785045.371 * [misc]taylor: Taking taylor expansion of n in n 1544785045.371 * [misc]backup-simplify: Simplify 0 into 0 1544785045.371 * [misc]backup-simplify: Simplify 1 into 1 1544785045.371 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785045.371 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785045.371 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.372 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.372 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.372 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.372 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.372 * [misc]backup-simplify: Simplify 2 into 2 1544785045.372 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.372 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.372 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.372 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.372 * [misc]backup-simplify: Simplify 2 into 2 1544785045.372 * [misc]taylor: Taking taylor expansion of n in n 1544785045.372 * [misc]backup-simplify: Simplify 0 into 0 1544785045.372 * [misc]backup-simplify: Simplify 1 into 1 1544785045.372 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.372 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.373 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.373 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.373 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785045.373 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785045.373 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.373 * [misc]backup-simplify: Simplify PI into PI 1544785045.373 * [misc]taylor: Taking taylor expansion of n in n 1544785045.373 * [misc]backup-simplify: Simplify 0 into 0 1544785045.373 * [misc]backup-simplify: Simplify 1 into 1 1544785045.373 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785045.374 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785045.374 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.374 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.374 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.374 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.374 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.374 * [misc]backup-simplify: Simplify 2 into 2 1544785045.374 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.374 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.374 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.374 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.374 * [misc]backup-simplify: Simplify 2 into 2 1544785045.374 * [misc]taylor: Taking taylor expansion of n in n 1544785045.375 * [misc]backup-simplify: Simplify 0 into 0 1544785045.375 * [misc]backup-simplify: Simplify 1 into 1 1544785045.375 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.375 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.375 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.375 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.375 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.375 * [misc]backup-simplify: Simplify PI into PI 1544785045.375 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.375 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785045.375 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785045.375 * [misc]taylor: Taking taylor expansion of n in n 1544785045.375 * [misc]backup-simplify: Simplify 0 into 0 1544785045.375 * [misc]backup-simplify: Simplify 1 into 1 1544785045.375 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.375 * [misc]backup-simplify: Simplify PI into PI 1544785045.375 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785045.376 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785045.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.376 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.376 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1544785045.376 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1544785045.376 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544785045.376 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.376 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.376 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544785045.376 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.376 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.376 * [misc]backup-simplify: Simplify 2 into 2 1544785045.377 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.377 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.377 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544785045.377 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544785045.377 * [misc]taylor: Taking taylor expansion of n in n 1544785045.377 * [misc]backup-simplify: Simplify 0 into 0 1544785045.377 * [misc]backup-simplify: Simplify 1 into 1 1544785045.377 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.377 * [misc]backup-simplify: Simplify PI into PI 1544785045.377 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544785045.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544785045.378 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.378 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.378 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.378 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.378 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.378 * [misc]backup-simplify: Simplify 2 into 2 1544785045.378 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544785045.378 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544785045.378 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544785045.378 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.378 * [misc]backup-simplify: Simplify 2 into 2 1544785045.378 * [misc]taylor: Taking taylor expansion of n in n 1544785045.378 * [misc]backup-simplify: Simplify 0 into 0 1544785045.378 * [misc]backup-simplify: Simplify 1 into 1 1544785045.379 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544785045.379 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544785045.379 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.379 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544785045.379 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544785045.379 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.379 * [misc]backup-simplify: Simplify PI into PI 1544785045.379 * [misc]taylor: Taking taylor expansion of n in n 1544785045.379 * [misc]backup-simplify: Simplify 0 into 0 1544785045.379 * [misc]backup-simplify: Simplify 1 into 1 1544785045.379 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544785045.380 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544785045.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.380 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544785045.380 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544785045.381 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544785045.381 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.384 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544785045.385 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544785045.386 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544785045.386 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.386 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.386 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.387 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544785045.387 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544785045.388 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544785045.388 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.388 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.388 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544785045.389 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544785045.389 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544785045.389 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.390 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544785045.390 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.390 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.390 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544785045.390 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.391 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.392 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.392 * [misc]backup-simplify: Simplify 0 into 0 1544785045.393 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785045.394 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544785045.395 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544785045.397 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544785045.398 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785045.399 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544785045.399 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544785045.401 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785045.402 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544785045.402 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544785045.403 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544785045.406 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544785045.408 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1544785045.412 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1544785045.416 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1544785045.423 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544785045.431 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544785045.439 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1544785045.441 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544785045.443 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544785045.444 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544785045.447 * [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)))) 1544785045.452 * [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)))) 1544785045.455 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544785045.457 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544785045.470 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1544785045.471 * [misc]backup-simplify: Simplify (* (* (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2)))) (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1544785045.471 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1544785045.471 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.472 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of k in n 1544785045.472 * [misc]backup-simplify: Simplify k into k 1544785045.472 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.472 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.472 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.472 * [misc]backup-simplify: Simplify PI into PI 1544785045.472 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.473 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.473 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.473 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.473 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785045.474 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.474 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of k in n 1544785045.474 * [misc]backup-simplify: Simplify k into k 1544785045.474 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.474 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785045.474 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.474 * [misc]backup-simplify: Simplify 2 into 2 1544785045.474 * [misc]taylor: Taking taylor expansion of n in n 1544785045.474 * [misc]backup-simplify: Simplify 0 into 0 1544785045.474 * [misc]backup-simplify: Simplify 1 into 1 1544785045.474 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785045.475 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.475 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.475 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.475 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.475 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.476 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785045.476 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.476 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544785045.476 * [misc]taylor: Taking taylor expansion of k in n 1544785045.476 * [misc]backup-simplify: Simplify k into k 1544785045.476 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544785045.477 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544785045.477 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of k in k 1544785045.477 * [misc]backup-simplify: Simplify 0 into 0 1544785045.477 * [misc]backup-simplify: Simplify 1 into 1 1544785045.477 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.477 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.477 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.477 * [misc]backup-simplify: Simplify PI into PI 1544785045.478 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.478 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.478 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.478 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.479 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785045.479 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.479 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.479 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785045.479 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785045.479 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.479 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.479 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.479 * [misc]taylor: Taking taylor expansion of k in k 1544785045.479 * [misc]backup-simplify: Simplify 0 into 0 1544785045.480 * [misc]backup-simplify: Simplify 1 into 1 1544785045.480 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.480 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785045.480 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785045.480 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.480 * [misc]backup-simplify: Simplify 2 into 2 1544785045.480 * [misc]taylor: Taking taylor expansion of n in k 1544785045.480 * [misc]backup-simplify: Simplify n into n 1544785045.480 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785045.480 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785045.480 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.480 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.480 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.481 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785045.481 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.481 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785045.481 * [misc]taylor: Taking taylor expansion of k in k 1544785045.481 * [misc]backup-simplify: Simplify 0 into 0 1544785045.481 * [misc]backup-simplify: Simplify 1 into 1 1544785045.481 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.482 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785045.482 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.482 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.482 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of k in k 1544785045.482 * [misc]backup-simplify: Simplify 0 into 0 1544785045.482 * [misc]backup-simplify: Simplify 1 into 1 1544785045.482 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.482 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.482 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.482 * [misc]backup-simplify: Simplify PI into PI 1544785045.483 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.483 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.483 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.483 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.483 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544785045.484 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.484 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.484 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of k in k 1544785045.484 * [misc]backup-simplify: Simplify 0 into 0 1544785045.484 * [misc]backup-simplify: Simplify 1 into 1 1544785045.484 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.484 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544785045.484 * [misc]taylor: Taking taylor expansion of 2 in k 1544785045.484 * [misc]backup-simplify: Simplify 2 into 2 1544785045.484 * [misc]taylor: Taking taylor expansion of n in k 1544785045.484 * [misc]backup-simplify: Simplify n into n 1544785045.484 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544785045.484 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544785045.484 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.484 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544785045.485 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544785045.485 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544785045.485 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.485 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544785045.485 * [misc]taylor: Taking taylor expansion of k in k 1544785045.485 * [misc]backup-simplify: Simplify 0 into 0 1544785045.485 * [misc]backup-simplify: Simplify 1 into 1 1544785045.485 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.485 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544785045.485 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1544785045.486 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544785045.486 * [misc]taylor: Taking taylor expansion of 0 in n 1544785045.486 * [misc]backup-simplify: Simplify 0 into 0 1544785045.486 * [misc]backup-simplify: Simplify 0 into 0 1544785045.486 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544785045.486 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1544785045.486 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.486 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.486 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.487 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.487 * [misc]taylor: Taking taylor expansion of k in n 1544785045.487 * [misc]backup-simplify: Simplify k into k 1544785045.487 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.487 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.487 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.487 * [misc]backup-simplify: Simplify PI into PI 1544785045.487 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.487 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.487 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.487 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.487 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785045.488 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.488 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of k in n 1544785045.488 * [misc]backup-simplify: Simplify k into k 1544785045.488 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.488 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785045.488 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.488 * [misc]backup-simplify: Simplify 2 into 2 1544785045.488 * [misc]taylor: Taking taylor expansion of n in n 1544785045.488 * [misc]backup-simplify: Simplify 0 into 0 1544785045.488 * [misc]backup-simplify: Simplify 1 into 1 1544785045.488 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785045.488 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.488 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.488 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.488 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.489 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.489 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785045.489 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.489 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785045.490 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785045.490 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785045.490 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785045.490 * [misc]backup-simplify: Simplify 0 into 0 1544785045.491 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785045.491 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544785045.492 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1544785045.492 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.492 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.492 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.492 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of k in n 1544785045.492 * [misc]backup-simplify: Simplify k into k 1544785045.492 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.492 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.492 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.492 * [misc]backup-simplify: Simplify PI into PI 1544785045.492 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.493 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.493 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.493 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.493 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785045.493 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.493 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of k in n 1544785045.493 * [misc]backup-simplify: Simplify k into k 1544785045.493 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.493 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785045.493 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.494 * [misc]backup-simplify: Simplify 2 into 2 1544785045.494 * [misc]taylor: Taking taylor expansion of n in n 1544785045.494 * [misc]backup-simplify: Simplify 0 into 0 1544785045.494 * [misc]backup-simplify: Simplify 1 into 1 1544785045.494 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785045.494 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.494 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.494 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.494 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.494 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785045.495 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.495 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785045.495 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785045.496 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785045.496 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785045.496 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544785045.498 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544785045.498 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785045.498 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.499 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544785045.499 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.501 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785045.501 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.501 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785045.501 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.501 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.502 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544785045.503 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.503 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1544785045.505 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1544785045.505 * [misc]backup-simplify: Simplify (- 0) into 0 1544785045.505 * [misc]backup-simplify: Simplify 0 into 0 1544785045.505 * [misc]backup-simplify: Simplify 0 into 0 1544785045.506 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785045.507 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1544785045.507 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1544785045.507 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.507 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.507 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of k in n 1544785045.507 * [misc]backup-simplify: Simplify k into k 1544785045.507 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.507 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.507 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.507 * [misc]backup-simplify: Simplify PI into PI 1544785045.508 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.508 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.508 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.508 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.508 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544785045.508 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544785045.508 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544785045.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544785045.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544785045.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544785045.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.508 * [misc]taylor: Taking taylor expansion of k in n 1544785045.509 * [misc]backup-simplify: Simplify k into k 1544785045.509 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.509 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544785045.509 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544785045.509 * [misc]taylor: Taking taylor expansion of 2 in n 1544785045.509 * [misc]backup-simplify: Simplify 2 into 2 1544785045.509 * [misc]taylor: Taking taylor expansion of n in n 1544785045.509 * [misc]backup-simplify: Simplify 0 into 0 1544785045.509 * [misc]backup-simplify: Simplify 1 into 1 1544785045.509 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544785045.509 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544785045.509 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.509 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544785045.509 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544785045.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544785045.509 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1544785045.510 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544785045.510 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544785045.510 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544785045.511 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785045.511 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544785045.514 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1544785045.515 * [misc]backup-simplify: Simplify (* (* (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1544785045.515 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1544785045.515 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of k in n 1544785045.515 * [misc]backup-simplify: Simplify k into k 1544785045.515 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.515 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.515 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785045.515 * [misc]taylor: Taking taylor expansion of -2 in n 1544785045.515 * [misc]backup-simplify: Simplify -2 into -2 1544785045.515 * [misc]taylor: Taking taylor expansion of n in n 1544785045.515 * [misc]backup-simplify: Simplify 0 into 0 1544785045.515 * [misc]backup-simplify: Simplify 1 into 1 1544785045.516 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785045.516 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.516 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.516 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.516 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.516 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785045.517 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.517 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.517 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of k in n 1544785045.517 * [misc]backup-simplify: Simplify k into k 1544785045.517 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.517 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.517 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.517 * [misc]backup-simplify: Simplify PI into PI 1544785045.518 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.518 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.518 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.518 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785045.519 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.519 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544785045.519 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544785045.519 * [misc]taylor: Taking taylor expansion of -1 in n 1544785045.519 * [misc]backup-simplify: Simplify -1 into -1 1544785045.519 * [misc]taylor: Taking taylor expansion of k in n 1544785045.519 * [misc]backup-simplify: Simplify k into k 1544785045.519 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544785045.519 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544785045.519 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544785045.519 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544785045.520 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785045.520 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1544785045.520 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.520 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.520 * [misc]taylor: Taking taylor expansion of k in k 1544785045.520 * [misc]backup-simplify: Simplify 0 into 0 1544785045.521 * [misc]backup-simplify: Simplify 1 into 1 1544785045.521 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.521 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.521 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785045.521 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785045.521 * [misc]taylor: Taking taylor expansion of -2 in k 1544785045.521 * [misc]backup-simplify: Simplify -2 into -2 1544785045.521 * [misc]taylor: Taking taylor expansion of n in k 1544785045.521 * [misc]backup-simplify: Simplify n into n 1544785045.521 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785045.521 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785045.521 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.521 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.521 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785045.522 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.522 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of k in k 1544785045.522 * [misc]backup-simplify: Simplify 0 into 0 1544785045.522 * [misc]backup-simplify: Simplify 1 into 1 1544785045.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.522 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.522 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.522 * [misc]backup-simplify: Simplify PI into PI 1544785045.522 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.523 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.523 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.523 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.524 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.524 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785045.524 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785045.524 * [misc]taylor: Taking taylor expansion of -1 in k 1544785045.524 * [misc]backup-simplify: Simplify -1 into -1 1544785045.524 * [misc]taylor: Taking taylor expansion of k in k 1544785045.524 * [misc]backup-simplify: Simplify 0 into 0 1544785045.524 * [misc]backup-simplify: Simplify 1 into 1 1544785045.524 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785045.524 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.524 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785045.525 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785045.525 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785045.525 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.525 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.525 * [misc]taylor: Taking taylor expansion of k in k 1544785045.525 * [misc]backup-simplify: Simplify 0 into 0 1544785045.525 * [misc]backup-simplify: Simplify 1 into 1 1544785045.526 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.526 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544785045.526 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544785045.526 * [misc]taylor: Taking taylor expansion of -2 in k 1544785045.526 * [misc]backup-simplify: Simplify -2 into -2 1544785045.526 * [misc]taylor: Taking taylor expansion of n in k 1544785045.526 * [misc]backup-simplify: Simplify n into n 1544785045.526 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544785045.526 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544785045.526 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.526 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.527 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544785045.527 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.527 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of k in k 1544785045.527 * [misc]backup-simplify: Simplify 0 into 0 1544785045.527 * [misc]backup-simplify: Simplify 1 into 1 1544785045.527 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544785045.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544785045.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.527 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544785045.527 * [misc]taylor: Taking taylor expansion of PI in k 1544785045.527 * [misc]backup-simplify: Simplify PI into PI 1544785045.528 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.528 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544785045.528 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544785045.529 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544785045.529 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.529 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544785045.529 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544785045.529 * [misc]taylor: Taking taylor expansion of -1 in k 1544785045.529 * [misc]backup-simplify: Simplify -1 into -1 1544785045.529 * [misc]taylor: Taking taylor expansion of k in k 1544785045.529 * [misc]backup-simplify: Simplify 0 into 0 1544785045.529 * [misc]backup-simplify: Simplify 1 into 1 1544785045.529 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544785045.529 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544785045.530 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544785045.530 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785045.530 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785045.531 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.531 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.531 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of k in n 1544785045.531 * [misc]backup-simplify: Simplify k into k 1544785045.531 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.531 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785045.531 * [misc]taylor: Taking taylor expansion of -2 in n 1544785045.531 * [misc]backup-simplify: Simplify -2 into -2 1544785045.531 * [misc]taylor: Taking taylor expansion of n in n 1544785045.531 * [misc]backup-simplify: Simplify 0 into 0 1544785045.531 * [misc]backup-simplify: Simplify 1 into 1 1544785045.531 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785045.532 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.532 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.532 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.532 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.532 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785045.533 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.533 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of k in n 1544785045.533 * [misc]backup-simplify: Simplify k into k 1544785045.533 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.533 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.533 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.533 * [misc]backup-simplify: Simplify PI into PI 1544785045.533 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.534 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.534 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.534 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785045.534 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.535 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785045.535 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785045.536 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785045.536 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544785045.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544785045.538 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544785045.539 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785045.539 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.539 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.539 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of k in n 1544785045.539 * [misc]backup-simplify: Simplify k into k 1544785045.539 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.539 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785045.539 * [misc]taylor: Taking taylor expansion of -2 in n 1544785045.539 * [misc]backup-simplify: Simplify -2 into -2 1544785045.539 * [misc]taylor: Taking taylor expansion of n in n 1544785045.539 * [misc]backup-simplify: Simplify 0 into 0 1544785045.539 * [misc]backup-simplify: Simplify 1 into 1 1544785045.540 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785045.540 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.540 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.541 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785045.541 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.541 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of k in n 1544785045.541 * [misc]backup-simplify: Simplify k into k 1544785045.541 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.541 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.541 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.542 * [misc]backup-simplify: Simplify PI into PI 1544785045.542 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.542 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.542 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.542 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785045.543 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.543 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785045.544 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785045.544 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785045.545 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785045.548 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544785045.548 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.548 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785045.548 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.549 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544785045.550 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.551 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544785045.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544785045.553 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544785045.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544785045.553 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544785045.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.554 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544785045.555 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544785045.556 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544785045.557 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544785045.557 * [misc]backup-simplify: Simplify 0 into 0 1544785045.557 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544785045.558 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544785045.559 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544785045.560 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785045.560 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544785045.560 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544785045.561 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544785045.561 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of k in n 1544785045.561 * [misc]backup-simplify: Simplify k into k 1544785045.561 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.561 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544785045.561 * [misc]taylor: Taking taylor expansion of -2 in n 1544785045.561 * [misc]backup-simplify: Simplify -2 into -2 1544785045.561 * [misc]taylor: Taking taylor expansion of n in n 1544785045.561 * [misc]backup-simplify: Simplify 0 into 0 1544785045.561 * [misc]backup-simplify: Simplify 1 into 1 1544785045.561 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544785045.562 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544785045.562 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.562 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544785045.562 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544785045.563 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544785045.563 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of k in n 1544785045.563 * [misc]backup-simplify: Simplify k into k 1544785045.563 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544785045.563 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544785045.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544785045.563 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544785045.563 * [misc]taylor: Taking taylor expansion of PI in n 1544785045.563 * [misc]backup-simplify: Simplify PI into PI 1544785045.564 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544785045.564 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544785045.564 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544785045.564 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544785045.565 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544785045.565 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544785045.566 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544785045.567 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785045.567 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1544785045.570 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544785045.571 * * * [misc]progress: simplifying candidates 1544785045.571 * * * * [misc]progress: [ 1 / 117 ] simplifiying candidate # 1544785045.571 * * * * [misc]progress: [ 2 / 117 ] simplifiying candidate # 1544785045.571 * * * * [misc]progress: [ 3 / 117 ] simplifiying candidate # 1544785045.571 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544785045.572 * * [misc]simplify: iters left: 6 (9 enodes) 1544785045.578 * * [misc]simplify: iters left: 5 (16 enodes) 1544785045.586 * * [misc]simplify: iters left: 4 (32 enodes) 1544785045.606 * * [misc]simplify: iters left: 3 (72 enodes) 1544785045.652 * * [misc]simplify: iters left: 2 (195 enodes) 1544785045.750 * * [misc]simplify: iters left: 1 (418 enodes) 1544785045.945 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544785045.945 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1544785045.945 * * * * [misc]progress: [ 4 / 117 ] simplifiying candidate # 1544785045.945 * * * * [misc]progress: [ 5 / 117 ] simplifiying candidate # 1544785045.945 * [enter]simplify: Simplifying (* n 2) 1544785045.946 * * [misc]simplify: iters left: 2 (3 enodes) 1544785045.946 * * [misc]simplify: iters left: 1 (4 enodes) 1544785045.947 * [exit]simplify: Simplified to (* n 2) 1544785045.947 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1544785045.947 * * * * [misc]progress: [ 6 / 117 ] simplifiying candidate # 1544785045.947 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544785045.948 * * [misc]simplify: iters left: 3 (6 enodes) 1544785045.949 * * [misc]simplify: iters left: 2 (7 enodes) 1544785045.950 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544785045.950 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1544785045.950 * * * * [misc]progress: [ 7 / 117 ] simplifiying candidate # 1544785045.951 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544785045.951 * * [misc]simplify: iters left: 5 (6 enodes) 1544785045.952 * * [misc]simplify: iters left: 4 (8 enodes) 1544785045.954 * * [misc]simplify: iters left: 3 (11 enodes) 1544785045.956 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544785045.956 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544785045.956 * * * * [misc]progress: [ 8 / 117 ] simplifiying candidate # 1544785045.956 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544785045.956 * * [misc]simplify: iters left: 5 (6 enodes) 1544785045.957 * * [misc]simplify: iters left: 4 (8 enodes) 1544785045.959 * * [misc]simplify: iters left: 3 (11 enodes) 1544785045.961 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544785045.961 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544785045.961 * * * * [misc]progress: [ 9 / 117 ] simplifiying candidate # 1544785045.961 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544785045.961 * * [misc]simplify: iters left: 4 (5 enodes) 1544785045.962 * * [misc]simplify: iters left: 3 (7 enodes) 1544785045.964 * * [misc]simplify: iters left: 2 (10 enodes) 1544785045.965 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544785045.965 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1544785045.966 * * * * [misc]progress: [ 10 / 117 ] simplifiying candidate # 1544785045.966 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544785045.969 * * [misc]simplify: iters left: 5 (7 enodes) 1544785045.970 * * [misc]simplify: iters left: 4 (10 enodes) 1544785045.972 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544785045.972 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544785045.972 * * * * [misc]progress: [ 11 / 117 ] simplifiying candidate # 1544785045.972 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544785045.973 * * [misc]simplify: iters left: 5 (7 enodes) 1544785045.974 * * [misc]simplify: iters left: 4 (10 enodes) 1544785045.976 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544785045.976 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544785045.976 * * * * [misc]progress: [ 12 / 117 ] simplifiying candidate # 1544785045.976 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544785045.977 * * [misc]simplify: iters left: 5 (7 enodes) 1544785045.979 * * [misc]simplify: iters left: 4 (9 enodes) 1544785045.980 * * [misc]simplify: iters left: 3 (12 enodes) 1544785045.983 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544785045.983 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1544785045.983 * * * * [misc]progress: [ 13 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 14 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 15 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 16 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 17 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 18 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 19 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 20 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 21 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 22 / 117 ] simplifiying candidate # 1544785045.983 * * * * [misc]progress: [ 23 / 117 ] simplifiying candidate # 1544785045.983 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544785045.984 * * [misc]simplify: iters left: 3 (5 enodes) 1544785045.985 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544785045.985 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785045.985 * * * * [misc]progress: [ 24 / 117 ] simplifiying candidate # 1544785045.985 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544785045.985 * * [misc]simplify: iters left: 5 (6 enodes) 1544785045.986 * * [misc]simplify: iters left: 4 (8 enodes) 1544785045.988 * * [misc]simplify: iters left: 3 (11 enodes) 1544785045.990 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544785045.990 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785045.990 * * * * [misc]progress: [ 25 / 117 ] simplifiying candidate # 1544785045.990 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544785045.990 * * [misc]simplify: iters left: 5 (6 enodes) 1544785045.991 * * [misc]simplify: iters left: 4 (8 enodes) 1544785045.994 * * [misc]simplify: iters left: 3 (11 enodes) 1544785045.998 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544785045.998 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785045.998 * * * * [misc]progress: [ 26 / 117 ] simplifiying candidate # 1544785045.998 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544785045.999 * * [misc]simplify: iters left: 4 (5 enodes) 1544785046.001 * * [misc]simplify: iters left: 3 (7 enodes) 1544785046.004 * * [misc]simplify: iters left: 2 (10 enodes) 1544785046.007 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544785046.007 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.007 * * * * [misc]progress: [ 27 / 117 ] simplifiying candidate # 1544785046.007 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544785046.008 * * [misc]simplify: iters left: 5 (6 enodes) 1544785046.010 * * [misc]simplify: iters left: 4 (8 enodes) 1544785046.013 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544785046.013 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.013 * * * * [misc]progress: [ 28 / 117 ] simplifiying candidate # 1544785046.014 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544785046.014 * * [misc]simplify: iters left: 5 (6 enodes) 1544785046.016 * * [misc]simplify: iters left: 4 (8 enodes) 1544785046.019 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544785046.019 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.019 * * * * [misc]progress: [ 29 / 117 ] simplifiying candidate # 1544785046.019 * * * * [misc]progress: [ 30 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 31 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 32 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 33 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 34 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 35 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 36 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 37 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 38 / 117 ] simplifiying candidate # 1544785046.020 * * * * [misc]progress: [ 39 / 117 ] simplifiying candidate # 1544785046.020 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544785046.021 * * [misc]simplify: iters left: 3 (5 enodes) 1544785046.023 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544785046.023 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.023 * * * * [misc]progress: [ 40 / 117 ] simplifiying candidate # 1544785046.023 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544785046.023 * * [misc]simplify: iters left: 5 (6 enodes) 1544785046.026 * * [misc]simplify: iters left: 4 (8 enodes) 1544785046.029 * * [misc]simplify: iters left: 3 (11 enodes) 1544785046.032 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544785046.032 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.033 * * * * [misc]progress: [ 41 / 117 ] simplifiying candidate # 1544785046.033 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544785046.033 * * [misc]simplify: iters left: 5 (6 enodes) 1544785046.036 * * [misc]simplify: iters left: 4 (8 enodes) 1544785046.039 * * [misc]simplify: iters left: 3 (11 enodes) 1544785046.042 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544785046.042 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.042 * * * * [misc]progress: [ 42 / 117 ] simplifiying candidate # 1544785046.043 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544785046.043 * * [misc]simplify: iters left: 4 (5 enodes) 1544785046.045 * * [misc]simplify: iters left: 3 (7 enodes) 1544785046.048 * * [misc]simplify: iters left: 2 (10 enodes) 1544785046.051 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544785046.051 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.051 * * * * [misc]progress: [ 43 / 117 ] simplifiying candidate # 1544785046.051 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544785046.052 * * [misc]simplify: iters left: 5 (6 enodes) 1544785046.054 * * [misc]simplify: iters left: 4 (8 enodes) 1544785046.057 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544785046.057 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.057 * * * * [misc]progress: [ 44 / 117 ] simplifiying candidate # 1544785046.057 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544785046.058 * * [misc]simplify: iters left: 5 (6 enodes) 1544785046.060 * * [misc]simplify: iters left: 4 (8 enodes) 1544785046.063 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544785046.063 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785046.063 * * * * [misc]progress: [ 45 / 117 ] simplifiying candidate # 1544785046.063 * * * * [misc]progress: [ 46 / 117 ] simplifiying candidate # 1544785046.063 * * * * [misc]progress: [ 47 / 117 ] simplifiying candidate # 1544785046.063 * * * * [misc]progress: [ 48 / 117 ] simplifiying candidate # 1544785046.063 * * * * [misc]progress: [ 49 / 117 ] simplifiying candidate # 1544785046.064 * * * * [misc]progress: [ 50 / 117 ] simplifiying candidate # 1544785046.064 * * * * [misc]progress: [ 51 / 117 ] simplifiying candidate # 1544785046.064 * * * * [misc]progress: [ 52 / 117 ] simplifiying candidate # 1544785046.064 * * * * [misc]progress: [ 53 / 117 ] simplifiying candidate # 1544785046.064 * * * * [misc]progress: [ 54 / 117 ] simplifiying candidate # 1544785046.064 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785046.066 * * [misc]simplify: iters left: 6 (15 enodes) 1544785046.072 * * [misc]simplify: iters left: 5 (23 enodes) 1544785046.081 * * [misc]simplify: iters left: 4 (36 enodes) 1544785046.092 * * [misc]simplify: iters left: 3 (44 enodes) 1544785046.099 * * [misc]simplify: iters left: 2 (55 enodes) 1544785046.107 * * [misc]simplify: iters left: 1 (63 enodes) 1544785046.120 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1544785046.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1)) 1544785046.120 * * * * [misc]progress: [ 55 / 117 ] simplifiying candidate # 1544785046.120 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785046.121 * * [misc]simplify: iters left: 6 (15 enodes) 1544785046.124 * * [misc]simplify: iters left: 5 (23 enodes) 1544785046.129 * * [misc]simplify: iters left: 4 (36 enodes) 1544785046.135 * * [misc]simplify: iters left: 3 (44 enodes) 1544785046.142 * * [misc]simplify: iters left: 2 (55 enodes) 1544785046.150 * * [misc]simplify: iters left: 1 (63 enodes) 1544785046.178 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1544785046.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1)) 1544785046.179 * * * * [misc]progress: [ 56 / 117 ] simplifiying candidate # 1544785046.179 * * * * [misc]progress: [ 57 / 117 ] simplifiying candidate # 1544785046.179 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785046.181 * * [misc]simplify: iters left: 6 (18 enodes) 1544785046.191 * * [misc]simplify: iters left: 5 (33 enodes) 1544785046.208 * * [misc]simplify: iters left: 4 (63 enodes) 1544785046.245 * * [misc]simplify: iters left: 3 (184 enodes) 1544785046.456 * [exit]simplify: Simplified to (- (fma (log (* n 2)) (- 1/2 (/ k 2)) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) 1544785046.456 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* n 2)) (- 1/2 (/ k 2)) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))) 1544785046.456 * * * * [misc]progress: [ 58 / 117 ] simplifiying candidate # 1544785046.457 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785046.459 * * [misc]simplify: iters left: 6 (18 enodes) 1544785046.468 * * [misc]simplify: iters left: 5 (33 enodes) 1544785046.478 * * [misc]simplify: iters left: 4 (63 enodes) 1544785046.504 * * [misc]simplify: iters left: 3 (184 enodes) 1544785046.734 * [exit]simplify: Simplified to (- (fma (log (* n 2)) (- 1/2 (/ k 2)) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) 1544785046.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (log (* n 2)) (- 1/2 (/ k 2)) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))) 1544785046.734 * * * * [misc]progress: [ 59 / 117 ] simplifiying candidate # 1544785046.734 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544785046.736 * * [misc]simplify: iters left: 6 (18 enodes) 1544785046.740 * * [misc]simplify: iters left: 5 (30 enodes) 1544785046.748 * * [misc]simplify: iters left: 4 (52 enodes) 1544785046.764 * * [misc]simplify: iters left: 3 (95 enodes) 1544785046.834 * * [misc]simplify: iters left: 2 (322 enodes) 1544785047.314 * [exit]simplify: Simplified to (+ (- (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt k))) (fma (- 1/2 (/ k 2)) (log (* n 2)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) 1544785047.314 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt k))) (fma (- 1/2 (/ k 2)) (log (* n 2)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))) 1544785047.314 * * * * [misc]progress: [ 60 / 117 ] simplifiying candidate # 1544785047.314 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785047.316 * * [misc]simplify: iters left: 6 (17 enodes) 1544785047.324 * * [misc]simplify: iters left: 5 (26 enodes) 1544785047.336 * * [misc]simplify: iters left: 4 (41 enodes) 1544785047.354 * * [misc]simplify: iters left: 3 (65 enodes) 1544785047.387 * * [misc]simplify: iters left: 2 (116 enodes) 1544785047.497 * * [misc]simplify: iters left: 1 (352 enodes) 1544785048.052 * [exit]simplify: Simplified to (+ (fma (- 1/2 (/ k 2)) (log (* n 2)) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))) 1544785048.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (fma (- 1/2 (/ k 2)) (log (* n 2)) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt k)))))) 1544785048.052 * * * * [misc]progress: [ 61 / 117 ] simplifiying candidate # 1544785048.052 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785048.054 * * [misc]simplify: iters left: 6 (18 enodes) 1544785048.064 * * [misc]simplify: iters left: 5 (33 enodes) 1544785048.080 * * [misc]simplify: iters left: 4 (66 enodes) 1544785048.110 * * [misc]simplify: iters left: 3 (195 enodes) 1544785048.351 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1544785048.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1544785048.352 * * * * [misc]progress: [ 62 / 117 ] simplifiying candidate # 1544785048.352 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544785048.354 * * [misc]simplify: iters left: 6 (18 enodes) 1544785048.363 * * [misc]simplify: iters left: 5 (33 enodes) 1544785048.379 * * [misc]simplify: iters left: 4 (66 enodes) 1544785048.414 * * [misc]simplify: iters left: 3 (195 enodes) 1544785048.645 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1544785048.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1544785048.645 * * * * [misc]progress: [ 63 / 117 ] simplifiying candidate # 1544785048.646 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544785048.647 * * [misc]simplify: iters left: 6 (18 enodes) 1544785048.651 * * [misc]simplify: iters left: 5 (30 enodes) 1544785048.659 * * [misc]simplify: iters left: 4 (55 enodes) 1544785048.680 * * [misc]simplify: iters left: 3 (105 enodes) 1544785048.768 * * [misc]simplify: iters left: 2 (361 enodes) 1544785049.342 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1544785049.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1544785049.342 * * * * [misc]progress: [ 64 / 117 ] simplifiying candidate # 1544785049.342 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785049.344 * * [misc]simplify: iters left: 6 (17 enodes) 1544785049.348 * * [misc]simplify: iters left: 5 (26 enodes) 1544785049.359 * * [misc]simplify: iters left: 4 (44 enodes) 1544785049.381 * * [misc]simplify: iters left: 3 (75 enodes) 1544785049.422 * * [misc]simplify: iters left: 2 (148 enodes) 1544785049.556 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544785049.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544785049.556 * * * * [misc]progress: [ 65 / 117 ] simplifiying candidate # 1544785049.556 * * * * [misc]progress: [ 66 / 117 ] simplifiying candidate # 1544785049.556 * * * * [misc]progress: [ 67 / 117 ] simplifiying candidate # 1544785049.556 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544785049.559 * * [misc]simplify: iters left: 6 (21 enodes) 1544785049.570 * * [misc]simplify: iters left: 5 (43 enodes) 1544785049.586 * * [misc]simplify: iters left: 4 (138 enodes) 1544785049.833 * [exit]simplify: Simplified to (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (sqrt k)) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544785049.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (sqrt k)) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1544785049.833 * * * * [misc]progress: [ 68 / 117 ] simplifiying candidate # 1544785049.833 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785049.836 * * [misc]simplify: iters left: 6 (19 enodes) 1544785049.846 * * [misc]simplify: iters left: 5 (39 enodes) 1544785049.868 * * [misc]simplify: iters left: 4 (111 enodes) 1544785049.941 * * [misc]simplify: iters left: 3 (352 enodes) 1544785050.571 * [exit]simplify: Simplified to (/ (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544785050.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1544785050.572 * * * * [misc]progress: [ 69 / 117 ] simplifiying candidate # 1544785050.572 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544785050.575 * * [misc]simplify: iters left: 6 (21 enodes) 1544785050.587 * * [misc]simplify: iters left: 5 (45 enodes) 1544785050.618 * * [misc]simplify: iters left: 4 (137 enodes) 1544785050.854 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544785050.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1544785050.854 * * * * [misc]progress: [ 70 / 117 ] simplifiying candidate # 1544785050.854 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785050.855 * * [misc]simplify: iters left: 6 (19 enodes) 1544785050.861 * * [misc]simplify: iters left: 5 (41 enodes) 1544785050.881 * * [misc]simplify: iters left: 4 (112 enodes) 1544785050.959 * * [misc]simplify: iters left: 3 (354 enodes) 1544785051.532 * [exit]simplify: Simplified to (/ (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1544785051.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1544785051.533 * * * * [misc]progress: [ 71 / 117 ] simplifiying candidate # 1544785051.533 * * * * [misc]progress: [ 72 / 117 ] simplifiying candidate # 1544785051.533 * * * * [misc]progress: [ 73 / 117 ] simplifiying candidate # 1544785051.533 * * * * [misc]progress: [ 74 / 117 ] simplifiying candidate # 1544785051.533 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1544785051.535 * * [misc]simplify: iters left: 6 (13 enodes) 1544785051.541 * * [misc]simplify: iters left: 5 (20 enodes) 1544785051.548 * * [misc]simplify: iters left: 4 (26 enodes) 1544785051.555 * * [misc]simplify: iters left: 3 (27 enodes) 1544785051.564 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) 1544785051.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))) (sqrt k)))) 1544785051.565 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))) (sqrt k)) 1544785051.566 * * [misc]simplify: iters left: 6 (9 enodes) 1544785051.569 * * [misc]simplify: iters left: 5 (12 enodes) 1544785051.574 * * [misc]simplify: iters left: 4 (15 enodes) 1544785051.578 * * [misc]simplify: iters left: 3 (16 enodes) 1544785051.584 * [exit]simplify: Simplified to (* (sqrt k) (pow PI (/ k 2))) 1544785051.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (sqrt k) (pow PI (/ k 2))))) 1544785051.584 * * * * [misc]progress: [ 75 / 117 ] simplifiying candidate # 1544785051.584 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1544785051.586 * * [misc]simplify: iters left: 6 (15 enodes) 1544785051.593 * * [misc]simplify: iters left: 5 (23 enodes) 1544785051.602 * * [misc]simplify: iters left: 4 (32 enodes) 1544785051.613 * * [misc]simplify: iters left: 3 (33 enodes) 1544785051.625 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544785051.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544785051.625 * [enter]simplify: Simplifying (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544785051.626 * * [misc]simplify: iters left: 6 (8 enodes) 1544785051.629 * * [misc]simplify: iters left: 5 (9 enodes) 1544785051.632 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544785051.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544785051.632 * * * * [misc]progress: [ 76 / 117 ] simplifiying candidate # 1544785051.632 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) 1544785051.633 * * [misc]simplify: iters left: 6 (15 enodes) 1544785051.636 * * [misc]simplify: iters left: 5 (23 enodes) 1544785051.641 * * [misc]simplify: iters left: 4 (32 enodes) 1544785051.646 * * [misc]simplify: iters left: 3 (34 enodes) 1544785051.652 * [exit]simplify: Simplified to (* (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544785051.652 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544785051.652 * [enter]simplify: Simplifying (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544785051.653 * * [misc]simplify: iters left: 6 (8 enodes) 1544785051.654 * * [misc]simplify: iters left: 5 (9 enodes) 1544785051.656 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544785051.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544785051.656 * * * * [misc]progress: [ 77 / 117 ] simplifiying candidate # 1544785051.656 * * * * [misc]progress: [ 78 / 117 ] simplifiying candidate # 1544785051.656 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.657 * * [misc]simplify: iters left: 6 (11 enodes) 1544785051.659 * * [misc]simplify: iters left: 5 (14 enodes) 1544785051.661 * * [misc]simplify: iters left: 4 (17 enodes) 1544785051.664 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785051.665 * * * * [misc]progress: [ 79 / 117 ] simplifiying candidate # 1544785051.665 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.665 * * [misc]simplify: iters left: 6 (11 enodes) 1544785051.668 * * [misc]simplify: iters left: 5 (14 enodes) 1544785051.670 * * [misc]simplify: iters left: 4 (17 enodes) 1544785051.673 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785051.673 * * * * [misc]progress: [ 80 / 117 ] simplifiying candidate # 1544785051.673 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544785051.674 * * [misc]simplify: iters left: 6 (10 enodes) 1544785051.676 * * [misc]simplify: iters left: 5 (13 enodes) 1544785051.679 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544785051.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544785051.679 * * * * [misc]progress: [ 81 / 117 ] simplifiying candidate # 1544785051.679 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544785051.680 * * [misc]simplify: iters left: 6 (10 enodes) 1544785051.681 * * [misc]simplify: iters left: 5 (13 enodes) 1544785051.684 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544785051.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544785051.684 * * * * [misc]progress: [ 82 / 117 ] simplifiying candidate # 1544785051.684 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785051.686 * * [misc]simplify: iters left: 6 (9 enodes) 1544785051.687 * * [misc]simplify: iters left: 5 (12 enodes) 1544785051.690 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785051.690 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544785051.690 * * * * [misc]progress: [ 83 / 117 ] simplifiying candidate # 1544785051.690 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544785051.691 * * [misc]simplify: iters left: 6 (10 enodes) 1544785051.692 * * [misc]simplify: iters left: 5 (13 enodes) 1544785051.695 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544785051.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544785051.695 * * * * [misc]progress: [ 84 / 117 ] simplifiying candidate # 1544785051.695 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544785051.696 * * [misc]simplify: iters left: 6 (10 enodes) 1544785051.697 * * [misc]simplify: iters left: 5 (13 enodes) 1544785051.700 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544785051.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544785051.700 * * * * [misc]progress: [ 85 / 117 ] simplifiying candidate # 1544785051.700 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785051.701 * * [misc]simplify: iters left: 6 (9 enodes) 1544785051.702 * * [misc]simplify: iters left: 5 (12 enodes) 1544785051.704 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544785051.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544785051.704 * * * * [misc]progress: [ 86 / 117 ] simplifiying candidate # 1544785051.705 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785051.705 * * [misc]simplify: iters left: 6 (9 enodes) 1544785051.707 * * [misc]simplify: iters left: 5 (11 enodes) 1544785051.709 * * [misc]simplify: iters left: 4 (14 enodes) 1544785051.711 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785051.711 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544785051.711 * * * * [misc]progress: [ 87 / 117 ] simplifiying candidate # 1544785051.711 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785051.712 * * [misc]simplify: iters left: 6 (9 enodes) 1544785051.716 * * [misc]simplify: iters left: 5 (11 enodes) 1544785051.720 * * [misc]simplify: iters left: 4 (14 enodes) 1544785051.725 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785051.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544785051.725 * * * * [misc]progress: [ 88 / 117 ] simplifiying candidate # 1544785051.725 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544785051.726 * * [misc]simplify: iters left: 6 (8 enodes) 1544785051.729 * * [misc]simplify: iters left: 5 (10 enodes) 1544785051.732 * * [misc]simplify: iters left: 4 (13 enodes) 1544785051.737 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544785051.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1544785051.737 * * * * [misc]progress: [ 89 / 117 ] simplifiying candidate # 1544785051.737 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785051.738 * * [misc]simplify: iters left: 6 (12 enodes) 1544785051.741 * * [misc]simplify: iters left: 5 (15 enodes) 1544785051.744 * * [misc]simplify: iters left: 4 (18 enodes) 1544785051.747 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785051.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544785051.747 * * * * [misc]progress: [ 90 / 117 ] simplifiying candidate # 1544785051.747 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785051.748 * * [misc]simplify: iters left: 6 (12 enodes) 1544785051.750 * * [misc]simplify: iters left: 5 (15 enodes) 1544785051.753 * * [misc]simplify: iters left: 4 (18 enodes) 1544785051.756 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785051.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544785051.756 * * * * [misc]progress: [ 91 / 117 ] simplifiying candidate # 1544785051.756 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785051.757 * * [misc]simplify: iters left: 6 (11 enodes) 1544785051.759 * * [misc]simplify: iters left: 5 (14 enodes) 1544785051.762 * * [misc]simplify: iters left: 4 (17 enodes) 1544785051.765 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785051.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544785051.765 * * * * [misc]progress: [ 92 / 117 ] simplifiying candidate # 1544785051.765 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785051.767 * * [misc]simplify: iters left: 6 (12 enodes) 1544785051.769 * * [misc]simplify: iters left: 5 (15 enodes) 1544785051.773 * * [misc]simplify: iters left: 4 (18 enodes) 1544785051.777 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544785051.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544785051.777 * * * * [misc]progress: [ 93 / 117 ] simplifiying candidate # 1544785051.777 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785051.778 * * [misc]simplify: iters left: 6 (12 enodes) 1544785051.783 * * [misc]simplify: iters left: 5 (15 enodes) 1544785051.788 * * [misc]simplify: iters left: 4 (18 enodes) 1544785051.794 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544785051.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544785051.794 * * * * [misc]progress: [ 94 / 117 ] simplifiying candidate # 1544785051.795 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785051.796 * * [misc]simplify: iters left: 6 (11 enodes) 1544785051.800 * * [misc]simplify: iters left: 5 (14 enodes) 1544785051.805 * * [misc]simplify: iters left: 4 (17 enodes) 1544785051.811 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544785051.811 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544785051.811 * * * * [misc]progress: [ 95 / 117 ] simplifiying candidate # 1544785051.812 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785051.813 * * [misc]simplify: iters left: 6 (11 enodes) 1544785051.817 * * [misc]simplify: iters left: 5 (14 enodes) 1544785051.822 * * [misc]simplify: iters left: 4 (17 enodes) 1544785051.828 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544785051.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544785051.828 * * * * [misc]progress: [ 96 / 117 ] simplifiying candidate # 1544785051.828 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785051.830 * * [misc]simplify: iters left: 6 (11 enodes) 1544785051.834 * * [misc]simplify: iters left: 5 (14 enodes) 1544785051.838 * * [misc]simplify: iters left: 4 (17 enodes) 1544785051.842 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544785051.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544785051.842 * * * * [misc]progress: [ 97 / 117 ] simplifiying candidate # 1544785051.842 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785051.843 * * [misc]simplify: iters left: 6 (10 enodes) 1544785051.844 * * [misc]simplify: iters left: 5 (13 enodes) 1544785051.847 * * [misc]simplify: iters left: 4 (16 enodes) 1544785051.849 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785051.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785051.850 * * * * [misc]progress: [ 98 / 117 ] simplifiying candidate # 1544785051.850 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785051.850 * * [misc]simplify: iters left: 6 (10 enodes) 1544785051.852 * * [misc]simplify: iters left: 5 (13 enodes) 1544785051.854 * * [misc]simplify: iters left: 4 (16 enodes) 1544785051.857 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544785051.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785051.857 * * * * [misc]progress: [ 99 / 117 ] simplifiying candidate # 1544785051.857 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544785051.858 * * [misc]simplify: iters left: 3 (4 enodes) 1544785051.858 * * [misc]simplify: iters left: 2 (6 enodes) 1544785051.859 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544785051.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1544785051.859 * * * * [misc]progress: [ 100 / 117 ] simplifiying candidate # 1544785051.859 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1544785051.860 * * [misc]simplify: iters left: 6 (8 enodes) 1544785051.861 * * [misc]simplify: iters left: 5 (10 enodes) 1544785051.863 * * [misc]simplify: iters left: 4 (13 enodes) 1544785051.865 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544785051.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544785051.865 * * * * [misc]progress: [ 101 / 117 ] simplifiying candidate # 1544785051.866 * [enter]simplify: Simplifying (sqrt k) 1544785051.867 * * [misc]simplify: iters left: 1 (2 enodes) 1544785051.867 * [exit]simplify: Simplified to (sqrt k) 1544785051.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1544785051.868 * * * * [misc]progress: [ 102 / 117 ] simplifiying candidate # 1544785051.868 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.869 * * [misc]simplify: iters left: 6 (15 enodes) 1544785051.872 * * [misc]simplify: iters left: 5 (24 enodes) 1544785051.877 * * [misc]simplify: iters left: 4 (37 enodes) 1544785051.884 * * [misc]simplify: iters left: 3 (45 enodes) 1544785051.891 * * [misc]simplify: iters left: 2 (56 enodes) 1544785051.899 * * [misc]simplify: iters left: 1 (64 enodes) 1544785051.911 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) 1544785051.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))))) 1544785051.911 * * * * [misc]progress: [ 103 / 117 ] simplifiying candidate # 1544785051.911 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.912 * * [misc]simplify: iters left: 6 (17 enodes) 1544785051.916 * * [misc]simplify: iters left: 5 (27 enodes) 1544785051.922 * * [misc]simplify: iters left: 4 (45 enodes) 1544785051.931 * * [misc]simplify: iters left: 3 (59 enodes) 1544785051.944 * * [misc]simplify: iters left: 2 (78 enodes) 1544785051.966 * * [misc]simplify: iters left: 1 (93 enodes) 1544785051.987 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) 1544785051.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (sqrt (pow PI (/ k 2))))) 1544785051.987 * * * * [misc]progress: [ 104 / 117 ] simplifiying candidate # 1544785051.987 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544785051.988 * * [misc]simplify: iters left: 6 (17 enodes) 1544785051.992 * * [misc]simplify: iters left: 5 (27 enodes) 1544785051.999 * * [misc]simplify: iters left: 4 (45 enodes) 1544785052.012 * * [misc]simplify: iters left: 3 (59 enodes) 1544785052.023 * * [misc]simplify: iters left: 2 (78 enodes) 1544785052.035 * * [misc]simplify: iters left: 1 (93 enodes) 1544785052.055 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) 1544785052.055 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (sqrt (pow PI (/ k 2))))) 1544785052.055 * * * * [misc]progress: [ 105 / 117 ] simplifiying candidate # 1544785052.055 * * * * [misc]progress: [ 106 / 117 ] simplifiying candidate # 1544785052.055 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1544785052.057 * * [misc]simplify: iters left: 6 (35 enodes) 1544785052.071 * * [misc]simplify: iters left: 5 (102 enodes) 1544785052.131 * * [misc]simplify: iters left: 4 (321 enodes) 1544785052.595 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1544785052.595 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) (sqrt k)))) 1544785052.595 * * * * [misc]progress: [ 107 / 117 ] simplifiying candidate # 1544785052.596 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544785052.596 * * [misc]simplify: iters left: 6 (13 enodes) 1544785052.601 * * [misc]simplify: iters left: 5 (27 enodes) 1544785052.608 * * [misc]simplify: iters left: 4 (53 enodes) 1544785052.627 * * [misc]simplify: iters left: 3 (124 enodes) 1544785052.728 * * [misc]simplify: iters left: 2 (394 enodes) 1544785053.454 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1544785053.454 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (fma -1/2 k 1/2)) (sqrt k)))) 1544785053.454 * * * * [misc]progress: [ 108 / 117 ] simplifiying candidate # 1544785053.454 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544785053.456 * * [misc]simplify: iters left: 6 (13 enodes) 1544785053.463 * * [misc]simplify: iters left: 5 (24 enodes) 1544785053.478 * * [misc]simplify: iters left: 4 (54 enodes) 1544785053.511 * * [misc]simplify: iters left: 3 (151 enodes) 1544785053.672 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1544785053.672 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k)))) 1544785053.672 * * * * [misc]progress: [ 109 / 117 ] simplifiying candidate # 1544785053.672 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1544785053.673 * * [misc]simplify: iters left: 6 (18 enodes) 1544785053.681 * * [misc]simplify: iters left: 5 (39 enodes) 1544785053.704 * * [misc]simplify: iters left: 4 (110 enodes) 1544785053.778 * * [misc]simplify: iters left: 3 (321 enodes) 1544785054.107 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1544785054.107 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785054.107 * * * * [misc]progress: [ 110 / 117 ] simplifiying candidate # 1544785054.107 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544785054.108 * * [misc]simplify: iters left: 5 (6 enodes) 1544785054.109 * * [misc]simplify: iters left: 4 (9 enodes) 1544785054.112 * * [misc]simplify: iters left: 3 (17 enodes) 1544785054.118 * * [misc]simplify: iters left: 2 (24 enodes) 1544785054.125 * * [misc]simplify: iters left: 1 (28 enodes) 1544785054.141 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544785054.141 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (fma k -1/2 1/2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785054.141 * * * * [misc]progress: [ 111 / 117 ] simplifiying candidate # 1544785054.141 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544785054.142 * * [misc]simplify: iters left: 5 (6 enodes) 1544785054.145 * * [misc]simplify: iters left: 4 (9 enodes) 1544785054.150 * * [misc]simplify: iters left: 3 (17 enodes) 1544785054.156 * * [misc]simplify: iters left: 2 (24 enodes) 1544785054.163 * * [misc]simplify: iters left: 1 (28 enodes) 1544785054.173 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544785054.173 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (fma k -1/2 1/2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785054.173 * * * * [misc]progress: [ 112 / 117 ] simplifiying candidate # 1544785054.174 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1544785054.175 * * [misc]simplify: iters left: 6 (18 enodes) 1544785054.180 * * [misc]simplify: iters left: 5 (39 enodes) 1544785054.194 * * [misc]simplify: iters left: 4 (110 enodes) 1544785054.253 * * [misc]simplify: iters left: 3 (321 enodes) 1544785054.584 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1544785054.584 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785054.584 * * * * [misc]progress: [ 113 / 117 ] simplifiying candidate # 1544785054.584 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544785054.585 * * [misc]simplify: iters left: 5 (6 enodes) 1544785054.586 * * [misc]simplify: iters left: 4 (9 enodes) 1544785054.589 * * [misc]simplify: iters left: 3 (17 enodes) 1544785054.592 * * [misc]simplify: iters left: 2 (24 enodes) 1544785054.595 * * [misc]simplify: iters left: 1 (28 enodes) 1544785054.603 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544785054.603 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785054.603 * * * * [misc]progress: [ 114 / 117 ] simplifiying candidate # 1544785054.603 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544785054.604 * * [misc]simplify: iters left: 5 (6 enodes) 1544785054.605 * * [misc]simplify: iters left: 4 (9 enodes) 1544785054.608 * * [misc]simplify: iters left: 3 (17 enodes) 1544785054.611 * * [misc]simplify: iters left: 2 (24 enodes) 1544785054.614 * * [misc]simplify: iters left: 1 (28 enodes) 1544785054.622 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544785054.622 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt (pow PI (fma k -1/2 1/2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544785054.622 * * * * [misc]progress: [ 115 / 117 ] simplifiying candidate # 1544785054.622 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1544785054.622 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785054.622 * * * * [misc]progress: [ 116 / 117 ] simplifiying candidate # 1544785054.623 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1544785054.623 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785054.623 * * * * [misc]progress: [ 117 / 117 ] simplifiying candidate # 1544785054.623 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544785054.623 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544785054.623 * * * [misc]progress: adding candidates to table 1544785057.749 * [misc]progress: [Phase 3 of 3] Extracting. 1544785057.749 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1544785057.755 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544785057.755 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1544785057.857 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1544785057.985 * * * [misc]regime: Found split indices: #