1544871504.331 * [misc]progress: [Phase 1 of 3] Setting up. 1544871504.332 * * * [misc]progress: [1/2] Preparing points 1544871504.332 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544871504.419 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.419 * * * * [misc]points: Sampling 195 additional inputs, on iter 1 have 61 / 256 1544871504.567 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.567 * * * * [misc]points: Sampling 151 additional inputs, on iter 2 have 105 / 256 1544871504.641 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.641 * * * * [misc]points: Sampling 120 additional inputs, on iter 3 have 136 / 256 1544871504.701 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.701 * * * * [misc]points: Sampling 94 additional inputs, on iter 4 have 162 / 256 1544871504.790 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.790 * * * * [misc]points: Sampling 70 additional inputs, on iter 5 have 186 / 256 1544871504.810 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.810 * * * * [misc]points: Sampling 48 additional inputs, on iter 6 have 208 / 256 1544871504.836 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.836 * * * * [misc]points: Sampling 38 additional inputs, on iter 7 have 218 / 256 1544871504.858 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.858 * * * * [misc]points: Sampling 30 additional inputs, on iter 8 have 226 / 256 1544871504.877 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.877 * * * * [misc]points: Sampling 24 additional inputs, on iter 9 have 232 / 256 1544871504.892 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.892 * * * * [misc]points: Sampling 21 additional inputs, on iter 10 have 235 / 256 1544871504.906 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.906 * * * * [misc]points: Sampling 19 additional inputs, on iter 11 have 237 / 256 1544871504.920 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.920 * * * * [misc]points: Sampling 13 additional inputs, on iter 12 have 243 / 256 1544871504.977 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.977 * * * * [misc]points: Sampling 11 additional inputs, on iter 13 have 245 / 256 1544871504.992 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871504.992 * * * * [misc]points: Sampling 10 additional inputs, on iter 14 have 246 / 256 1544871505.002 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.002 * * * * [misc]points: Sampling 7 additional inputs, on iter 15 have 249 / 256 1544871505.009 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.009 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1544871505.016 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.016 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1544871505.022 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.022 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 253 / 256 1544871505.028 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.028 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 254 / 256 1544871505.033 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.033 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1544871505.036 * * * * [misc]points: Filtering points with unrepresentable outputs 1544871505.036 * * * * [exit]points: Sampled 256 points with exact outputs 1544871505.037 * * * [misc]progress: [2/2] Setting up program. 1544871505.042 * [misc]progress: [Phase 2 of 3] Improving. 1544871505.042 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544871505.044 * * [misc]simplify: iters left: 6 (13 enodes) 1544871505.048 * * [misc]simplify: iters left: 5 (28 enodes) 1544871505.054 * * [misc]simplify: iters left: 4 (44 enodes) 1544871505.069 * * [misc]simplify: iters left: 3 (54 enodes) 1544871505.084 * * [misc]simplify: iters left: 2 (57 enodes) 1544871505.098 * * [misc]simplify: iters left: 1 (65 enodes) 1544871505.138 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544871505.161 * * [misc]progress: iteration 1 / 4 1544871505.161 * * * [misc]progress: picking best candidate 1544871505.182 * * * * [misc]pick: Picked # 1544871505.183 * * * [misc]progress: localizing error 1544871505.227 * * * [misc]progress: generating rewritten candidates 1544871505.227 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1544871505.268 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1544871505.295 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1544871505.343 * * * [misc]progress: generating series expansions 1544871505.343 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1544871505.343 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544871505.343 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544871505.343 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.343 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.343 * [misc]taylor: Taking taylor expansion of k in k 1544871505.343 * [misc]backup-simplify: Simplify 0 into 0 1544871505.343 * [misc]backup-simplify: Simplify 1 into 1 1544871505.343 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.343 * [misc]backup-simplify: Simplify 2 into 2 1544871505.343 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544871505.343 * [misc]taylor: Taking taylor expansion of n in k 1544871505.343 * [misc]backup-simplify: Simplify n into n 1544871505.343 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.343 * [misc]backup-simplify: Simplify PI into PI 1544871505.343 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544871505.344 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544871505.344 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544871505.344 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871505.344 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.344 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.344 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544871505.344 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544871505.344 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544871505.344 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544871505.344 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544871505.344 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544871505.344 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.344 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544871505.344 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.345 * [misc]taylor: Taking taylor expansion of k in n 1544871505.345 * [misc]backup-simplify: Simplify k into k 1544871505.345 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544871505.345 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544871505.345 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.345 * [misc]backup-simplify: Simplify 2 into 2 1544871505.345 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871505.345 * [misc]taylor: Taking taylor expansion of n in n 1544871505.345 * [misc]backup-simplify: Simplify 0 into 0 1544871505.345 * [misc]backup-simplify: Simplify 1 into 1 1544871505.345 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.345 * [misc]backup-simplify: Simplify PI into PI 1544871505.345 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871505.345 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544871505.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871505.346 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544871505.346 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.346 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544871505.346 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544871505.346 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544871505.347 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.347 * [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)))) 1544871505.348 * [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))))) 1544871505.348 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.348 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.348 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.348 * [misc]taylor: Taking taylor expansion of k in n 1544871505.348 * [misc]backup-simplify: Simplify k into k 1544871505.348 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.348 * [misc]backup-simplify: Simplify 2 into 2 1544871505.348 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871505.348 * [misc]taylor: Taking taylor expansion of n in n 1544871505.348 * [misc]backup-simplify: Simplify 0 into 0 1544871505.348 * [misc]backup-simplify: Simplify 1 into 1 1544871505.348 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.348 * [misc]backup-simplify: Simplify PI into PI 1544871505.348 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871505.348 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544871505.349 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871505.349 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544871505.350 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.350 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544871505.350 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544871505.350 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544871505.350 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.351 * [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)))) 1544871505.351 * [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))))) 1544871505.351 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544871505.351 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544871505.351 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871505.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.351 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871505.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.351 * [misc]taylor: Taking taylor expansion of k in k 1544871505.351 * [misc]backup-simplify: Simplify 0 into 0 1544871505.351 * [misc]backup-simplify: Simplify 1 into 1 1544871505.352 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544871505.352 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871505.352 * [misc]taylor: Taking taylor expansion of n in k 1544871505.352 * [misc]backup-simplify: Simplify n into n 1544871505.352 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871505.352 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871505.352 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871505.352 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.352 * [misc]backup-simplify: Simplify 2 into 2 1544871505.352 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.352 * [misc]backup-simplify: Simplify PI into PI 1544871505.352 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.352 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.352 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871505.352 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.353 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.353 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.353 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544871505.354 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544871505.354 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544871505.355 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871505.356 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544871505.358 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871505.358 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544871505.358 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.358 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.359 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544871505.360 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871505.360 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.360 * [misc]backup-simplify: Simplify 0 into 0 1544871505.360 * [misc]backup-simplify: Simplify 0 into 0 1544871505.361 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871505.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871505.363 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871505.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.363 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544871505.364 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871505.364 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871505.364 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544871505.365 * [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))))))) 1544871505.366 * [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))))))) 1544871505.367 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544871505.372 * [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 1544871505.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544871505.372 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.373 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.373 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544871505.375 * [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 1544871505.375 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.375 * [misc]backup-simplify: Simplify 0 into 0 1544871505.375 * [misc]backup-simplify: Simplify 0 into 0 1544871505.375 * [misc]backup-simplify: Simplify 0 into 0 1544871505.376 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871505.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.380 * [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 1544871505.380 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.380 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871505.380 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.381 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544871505.383 * [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))))) 1544871505.386 * [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))))) 1544871505.392 * [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))))) 1544871505.392 * [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)))) 1544871505.392 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544871505.393 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of k in k 1544871505.393 * [misc]backup-simplify: Simplify 0 into 0 1544871505.393 * [misc]backup-simplify: Simplify 1 into 1 1544871505.393 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.393 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.393 * [misc]backup-simplify: Simplify 2 into 2 1544871505.393 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544871505.393 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.393 * [misc]backup-simplify: Simplify PI into PI 1544871505.393 * [misc]taylor: Taking taylor expansion of n in k 1544871505.393 * [misc]backup-simplify: Simplify n into n 1544871505.394 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544871505.394 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544871505.394 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544871505.394 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.394 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871505.394 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871505.395 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544871505.395 * [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)))) 1544871505.395 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of k in n 1544871505.395 * [misc]backup-simplify: Simplify k into k 1544871505.395 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.395 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544871505.395 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.395 * [misc]backup-simplify: Simplify 2 into 2 1544871505.395 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.396 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.396 * [misc]backup-simplify: Simplify PI into PI 1544871505.396 * [misc]taylor: Taking taylor expansion of n in n 1544871505.396 * [misc]backup-simplify: Simplify 0 into 0 1544871505.396 * [misc]backup-simplify: Simplify 1 into 1 1544871505.396 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.396 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.397 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.397 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.397 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544871505.397 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544871505.398 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.399 * [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))) 1544871505.400 * [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)))) 1544871505.400 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of k in n 1544871505.400 * [misc]backup-simplify: Simplify k into k 1544871505.400 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.400 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.400 * [misc]backup-simplify: Simplify 2 into 2 1544871505.400 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.400 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.400 * [misc]backup-simplify: Simplify PI into PI 1544871505.400 * [misc]taylor: Taking taylor expansion of n in n 1544871505.400 * [misc]backup-simplify: Simplify 0 into 0 1544871505.400 * [misc]backup-simplify: Simplify 1 into 1 1544871505.401 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.401 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.402 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.402 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.402 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544871505.402 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544871505.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.404 * [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))) 1544871505.404 * [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)))) 1544871505.404 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544871505.404 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544871505.404 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871505.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.405 * [misc]taylor: Taking taylor expansion of k in k 1544871505.405 * [misc]backup-simplify: Simplify 0 into 0 1544871505.405 * [misc]backup-simplify: Simplify 1 into 1 1544871505.405 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.405 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544871505.405 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871505.405 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871505.405 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.405 * [misc]backup-simplify: Simplify 2 into 2 1544871505.405 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.405 * [misc]backup-simplify: Simplify PI into PI 1544871505.405 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.406 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.406 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871505.406 * [misc]taylor: Taking taylor expansion of n in k 1544871505.406 * [misc]backup-simplify: Simplify n into n 1544871505.406 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871505.406 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.406 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871505.407 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871505.407 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871505.407 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544871505.408 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544871505.408 * [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)))) 1544871505.409 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1544871505.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544871505.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871505.412 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871505.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871505.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544871505.412 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.413 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544871505.415 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871505.415 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.415 * [misc]backup-simplify: Simplify 0 into 0 1544871505.415 * [misc]backup-simplify: Simplify 0 into 0 1544871505.415 * [misc]backup-simplify: Simplify 0 into 0 1544871505.416 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.416 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.420 * [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 1544871505.420 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.420 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871505.420 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.421 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544871505.423 * [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 1544871505.423 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.423 * [misc]backup-simplify: Simplify 0 into 0 1544871505.423 * [misc]backup-simplify: Simplify 0 into 0 1544871505.423 * [misc]backup-simplify: Simplify 0 into 0 1544871505.423 * [misc]backup-simplify: Simplify 0 into 0 1544871505.424 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.425 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.431 * [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 1544871505.431 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.431 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871505.432 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.432 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.433 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544871505.435 * [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 1544871505.435 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.435 * [misc]backup-simplify: Simplify 0 into 0 1544871505.435 * [misc]backup-simplify: Simplify 0 into 0 1544871505.436 * [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))))) 1544871505.436 * [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)) 1544871505.436 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544871505.436 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of k in k 1544871505.436 * [misc]backup-simplify: Simplify 0 into 0 1544871505.436 * [misc]backup-simplify: Simplify 1 into 1 1544871505.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.436 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of -2 in k 1544871505.436 * [misc]backup-simplify: Simplify -2 into -2 1544871505.436 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544871505.436 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.436 * [misc]backup-simplify: Simplify PI into PI 1544871505.436 * [misc]taylor: Taking taylor expansion of n in k 1544871505.436 * [misc]backup-simplify: Simplify n into n 1544871505.436 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544871505.437 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544871505.437 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544871505.437 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.437 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.437 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544871505.437 * [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))) 1544871505.437 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544871505.437 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544871505.437 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544871505.437 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544871505.437 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.437 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.437 * [misc]taylor: Taking taylor expansion of k in n 1544871505.437 * [misc]backup-simplify: Simplify k into k 1544871505.437 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.437 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544871505.440 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544871505.440 * [misc]taylor: Taking taylor expansion of -2 in n 1544871505.440 * [misc]backup-simplify: Simplify -2 into -2 1544871505.440 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.440 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.440 * [misc]backup-simplify: Simplify PI into PI 1544871505.440 * [misc]taylor: Taking taylor expansion of n in n 1544871505.440 * [misc]backup-simplify: Simplify 0 into 0 1544871505.440 * [misc]backup-simplify: Simplify 1 into 1 1544871505.441 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.441 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.441 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544871505.441 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.441 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871505.442 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.442 * [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))) 1544871505.443 * [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)))) 1544871505.443 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.443 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of k in n 1544871505.443 * [misc]backup-simplify: Simplify k into k 1544871505.443 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.443 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of -2 in n 1544871505.443 * [misc]backup-simplify: Simplify -2 into -2 1544871505.443 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.443 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.443 * [misc]backup-simplify: Simplify PI into PI 1544871505.443 * [misc]taylor: Taking taylor expansion of n in n 1544871505.443 * [misc]backup-simplify: Simplify 0 into 0 1544871505.443 * [misc]backup-simplify: Simplify 1 into 1 1544871505.443 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.443 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.444 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544871505.444 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.444 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871505.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.445 * [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))) 1544871505.445 * [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)))) 1544871505.445 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544871505.445 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544871505.445 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871505.445 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.445 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.446 * [misc]taylor: Taking taylor expansion of k in k 1544871505.446 * [misc]backup-simplify: Simplify 0 into 0 1544871505.446 * [misc]backup-simplify: Simplify 1 into 1 1544871505.446 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.446 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544871505.446 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544871505.446 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544871505.446 * [misc]taylor: Taking taylor expansion of -2 in k 1544871505.446 * [misc]backup-simplify: Simplify -2 into -2 1544871505.446 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.446 * [misc]backup-simplify: Simplify PI into PI 1544871505.446 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.446 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544871505.446 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871505.446 * [misc]taylor: Taking taylor expansion of n in k 1544871505.446 * [misc]backup-simplify: Simplify n into n 1544871505.446 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871505.447 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.447 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871505.447 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544871505.447 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544871505.448 * [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)))) 1544871505.448 * [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)))) 1544871505.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544871505.450 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544871505.451 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544871505.452 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871505.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544871505.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.452 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.453 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544871505.454 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871505.454 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.454 * [misc]backup-simplify: Simplify 0 into 0 1544871505.454 * [misc]backup-simplify: Simplify 0 into 0 1544871505.454 * [misc]backup-simplify: Simplify 0 into 0 1544871505.455 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.456 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.459 * [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 1544871505.459 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871505.459 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.460 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.460 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544871505.462 * [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 1544871505.462 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.462 * [misc]backup-simplify: Simplify 0 into 0 1544871505.462 * [misc]backup-simplify: Simplify 0 into 0 1544871505.462 * [misc]backup-simplify: Simplify 0 into 0 1544871505.462 * [misc]backup-simplify: Simplify 0 into 0 1544871505.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.464 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.470 * [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 1544871505.470 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871505.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.471 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.472 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544871505.474 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871505.474 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.474 * [misc]backup-simplify: Simplify 0 into 0 1544871505.474 * [misc]backup-simplify: Simplify 0 into 0 1544871505.475 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544871505.475 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1544871505.475 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544871505.475 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544871505.475 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544871505.475 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.475 * [misc]backup-simplify: Simplify 2 into 2 1544871505.475 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871505.475 * [misc]taylor: Taking taylor expansion of n in n 1544871505.475 * [misc]backup-simplify: Simplify 0 into 0 1544871505.475 * [misc]backup-simplify: Simplify 1 into 1 1544871505.475 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.475 * [misc]backup-simplify: Simplify PI into PI 1544871505.475 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544871505.475 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.475 * [misc]backup-simplify: Simplify 2 into 2 1544871505.475 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871505.475 * [misc]taylor: Taking taylor expansion of n in n 1544871505.476 * [misc]backup-simplify: Simplify 0 into 0 1544871505.476 * [misc]backup-simplify: Simplify 1 into 1 1544871505.476 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.476 * [misc]backup-simplify: Simplify PI into PI 1544871505.476 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871505.476 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544871505.476 * [misc]backup-simplify: Simplify 0 into 0 1544871505.477 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871505.477 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544871505.477 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.478 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871505.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544871505.479 * [misc]backup-simplify: Simplify 0 into 0 1544871505.480 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.480 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544871505.481 * [misc]backup-simplify: Simplify 0 into 0 1544871505.482 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544871505.483 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544871505.483 * [misc]backup-simplify: Simplify 0 into 0 1544871505.485 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544871505.487 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544871505.487 * [misc]backup-simplify: Simplify 0 into 0 1544871505.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544871505.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544871505.491 * [misc]backup-simplify: Simplify 0 into 0 1544871505.493 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544871505.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544871505.495 * [misc]backup-simplify: Simplify 0 into 0 1544871505.496 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544871505.496 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544871505.496 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544871505.496 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544871505.496 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.496 * [misc]backup-simplify: Simplify 2 into 2 1544871505.496 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.496 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.496 * [misc]backup-simplify: Simplify PI into PI 1544871505.496 * [misc]taylor: Taking taylor expansion of n in n 1544871505.496 * [misc]backup-simplify: Simplify 0 into 0 1544871505.496 * [misc]backup-simplify: Simplify 1 into 1 1544871505.496 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.496 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544871505.496 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.496 * [misc]backup-simplify: Simplify 2 into 2 1544871505.496 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.496 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.496 * [misc]backup-simplify: Simplify PI into PI 1544871505.496 * [misc]taylor: Taking taylor expansion of n in n 1544871505.496 * [misc]backup-simplify: Simplify 0 into 0 1544871505.496 * [misc]backup-simplify: Simplify 1 into 1 1544871505.497 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.497 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.497 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544871505.498 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871505.498 * [misc]backup-simplify: Simplify 0 into 0 1544871505.499 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.500 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.500 * [misc]backup-simplify: Simplify 0 into 0 1544871505.501 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.502 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.502 * [misc]backup-simplify: Simplify 0 into 0 1544871505.503 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.504 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544871505.504 * [misc]backup-simplify: Simplify 0 into 0 1544871505.506 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.507 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544871505.507 * [misc]backup-simplify: Simplify 0 into 0 1544871505.509 * [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 1544871505.511 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544871505.511 * [misc]backup-simplify: Simplify 0 into 0 1544871505.511 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544871505.511 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544871505.511 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544871505.511 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544871505.511 * [misc]taylor: Taking taylor expansion of -2 in n 1544871505.511 * [misc]backup-simplify: Simplify -2 into -2 1544871505.511 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.512 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.512 * [misc]backup-simplify: Simplify PI into PI 1544871505.512 * [misc]taylor: Taking taylor expansion of n in n 1544871505.512 * [misc]backup-simplify: Simplify 0 into 0 1544871505.512 * [misc]backup-simplify: Simplify 1 into 1 1544871505.512 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.512 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544871505.512 * [misc]taylor: Taking taylor expansion of -2 in n 1544871505.512 * [misc]backup-simplify: Simplify -2 into -2 1544871505.512 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.512 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.512 * [misc]backup-simplify: Simplify PI into PI 1544871505.512 * [misc]taylor: Taking taylor expansion of n in n 1544871505.512 * [misc]backup-simplify: Simplify 0 into 0 1544871505.512 * [misc]backup-simplify: Simplify 1 into 1 1544871505.512 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.512 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.513 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544871505.514 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544871505.514 * [misc]backup-simplify: Simplify 0 into 0 1544871505.515 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.516 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.516 * [misc]backup-simplify: Simplify 0 into 0 1544871505.517 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.518 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.518 * [misc]backup-simplify: Simplify 0 into 0 1544871505.519 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.521 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544871505.521 * [misc]backup-simplify: Simplify 0 into 0 1544871505.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.525 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544871505.525 * [misc]backup-simplify: Simplify 0 into 0 1544871505.527 * [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 1544871505.530 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544871505.530 * [misc]backup-simplify: Simplify 0 into 0 1544871505.531 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544871505.531 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1544871505.531 * [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)))) 1544871505.531 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544871505.531 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544871505.531 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871505.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.531 * [misc]taylor: Taking taylor expansion of k in k 1544871505.531 * [misc]backup-simplify: Simplify 0 into 0 1544871505.531 * [misc]backup-simplify: Simplify 1 into 1 1544871505.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.532 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871505.532 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871505.532 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544871505.532 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544871505.532 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544871505.532 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871505.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.532 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871505.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.532 * [misc]taylor: Taking taylor expansion of k in k 1544871505.532 * [misc]backup-simplify: Simplify 0 into 0 1544871505.532 * [misc]backup-simplify: Simplify 1 into 1 1544871505.533 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544871505.533 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544871505.533 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.533 * [misc]backup-simplify: Simplify 2 into 2 1544871505.533 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544871505.533 * [misc]taylor: Taking taylor expansion of n in k 1544871505.533 * [misc]backup-simplify: Simplify n into n 1544871505.533 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.533 * [misc]backup-simplify: Simplify PI into PI 1544871505.533 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544871505.533 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544871505.535 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544871505.535 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871505.535 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.535 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.536 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544871505.536 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544871505.536 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544871505.536 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544871505.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.536 * [misc]taylor: Taking taylor expansion of k in n 1544871505.536 * [misc]backup-simplify: Simplify k into k 1544871505.536 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.536 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544871505.536 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871505.536 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544871505.537 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.537 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.537 * [misc]taylor: Taking taylor expansion of k in n 1544871505.537 * [misc]backup-simplify: Simplify k into k 1544871505.537 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.537 * [misc]backup-simplify: Simplify 2 into 2 1544871505.537 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871505.537 * [misc]taylor: Taking taylor expansion of n in n 1544871505.537 * [misc]backup-simplify: Simplify 0 into 0 1544871505.537 * [misc]backup-simplify: Simplify 1 into 1 1544871505.537 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.537 * [misc]backup-simplify: Simplify PI into PI 1544871505.537 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871505.538 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544871505.538 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871505.539 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544871505.539 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.539 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544871505.539 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544871505.540 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544871505.540 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.540 * [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)))) 1544871505.541 * [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))))) 1544871505.541 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544871505.541 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544871505.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.541 * [misc]taylor: Taking taylor expansion of k in n 1544871505.541 * [misc]backup-simplify: Simplify k into k 1544871505.541 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.541 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544871505.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871505.541 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544871505.542 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.542 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.542 * [misc]taylor: Taking taylor expansion of k in n 1544871505.542 * [misc]backup-simplify: Simplify k into k 1544871505.542 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.542 * [misc]backup-simplify: Simplify 2 into 2 1544871505.542 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871505.542 * [misc]taylor: Taking taylor expansion of n in n 1544871505.542 * [misc]backup-simplify: Simplify 0 into 0 1544871505.542 * [misc]backup-simplify: Simplify 1 into 1 1544871505.542 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.542 * [misc]backup-simplify: Simplify PI into PI 1544871505.542 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871505.542 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544871505.543 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871505.543 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544871505.543 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.544 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544871505.544 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544871505.544 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544871505.544 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.545 * [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)))) 1544871505.545 * [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))))) 1544871505.546 * [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))) 1544871505.546 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.546 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.546 * [misc]taylor: Taking taylor expansion of k in k 1544871505.546 * [misc]backup-simplify: Simplify 0 into 0 1544871505.546 * [misc]backup-simplify: Simplify 1 into 1 1544871505.546 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of n in k 1544871505.546 * [misc]backup-simplify: Simplify n into n 1544871505.546 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871505.546 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871505.546 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.546 * [misc]backup-simplify: Simplify 2 into 2 1544871505.546 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.546 * [misc]backup-simplify: Simplify PI into PI 1544871505.546 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.547 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.547 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871505.547 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.547 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.548 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.548 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544871505.548 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544871505.548 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871505.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.548 * [misc]taylor: Taking taylor expansion of k in k 1544871505.548 * [misc]backup-simplify: Simplify 0 into 0 1544871505.548 * [misc]backup-simplify: Simplify 1 into 1 1544871505.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.549 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871505.549 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871505.549 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544871505.549 * [misc]backup-simplify: Simplify 0 into 0 1544871505.550 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871505.551 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544871505.553 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871505.553 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544871505.553 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.553 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.554 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.554 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544871505.555 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871505.556 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544871505.556 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.556 * [misc]backup-simplify: Simplify 0 into 0 1544871505.556 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871505.557 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871505.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871505.559 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.559 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544871505.559 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871505.559 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871505.560 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544871505.561 * [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))))))) 1544871505.562 * [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))))))) 1544871505.563 * [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))))))) 1544871505.564 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.565 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544871505.569 * [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 1544871505.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544871505.569 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.570 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.570 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544871505.572 * [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 1544871505.572 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.572 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544871505.573 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544871505.573 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.573 * [misc]backup-simplify: Simplify 0 into 0 1544871505.573 * [misc]backup-simplify: Simplify 0 into 0 1544871505.573 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871505.574 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871505.575 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871505.575 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.579 * [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 1544871505.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871505.579 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.580 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544871505.582 * [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))))) 1544871505.586 * [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)))))))) 1544871505.588 * [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)))))))) 1544871505.590 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544871505.591 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544871505.597 * [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 1544871505.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544871505.597 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.597 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.598 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544871505.598 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544871505.601 * [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 1544871505.601 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.601 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544871505.602 * [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 1544871505.602 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.602 * [misc]backup-simplify: Simplify 0 into 0 1544871505.602 * [misc]backup-simplify: Simplify 0 into 0 1544871505.602 * [misc]backup-simplify: Simplify 0 into 0 1544871505.602 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871505.605 * [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 1544871505.606 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.611 * [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 1544871505.612 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544871505.612 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.612 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544871505.617 * [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))))))) 1544871505.631 * [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)))))))))))))) 1544871505.638 * [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)))))))))))))) 1544871505.649 * [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)))))))))))))))))))))) 1544871505.650 * [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))))) 1544871505.650 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544871505.650 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of k in k 1544871505.650 * [misc]backup-simplify: Simplify 0 into 0 1544871505.650 * [misc]backup-simplify: Simplify 1 into 1 1544871505.650 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871505.650 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871505.650 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.650 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.650 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.650 * [misc]taylor: Taking taylor expansion of k in k 1544871505.650 * [misc]backup-simplify: Simplify 0 into 0 1544871505.650 * [misc]backup-simplify: Simplify 1 into 1 1544871505.650 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.650 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544871505.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544871505.651 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.651 * [misc]backup-simplify: Simplify 2 into 2 1544871505.651 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544871505.651 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.651 * [misc]backup-simplify: Simplify PI into PI 1544871505.651 * [misc]taylor: Taking taylor expansion of n in k 1544871505.651 * [misc]backup-simplify: Simplify n into n 1544871505.651 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544871505.651 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544871505.651 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544871505.651 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.651 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871505.651 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871505.651 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544871505.651 * [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)))) 1544871505.652 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of k in n 1544871505.652 * [misc]backup-simplify: Simplify k into k 1544871505.652 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544871505.652 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544871505.652 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.652 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.652 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of k in n 1544871505.652 * [misc]backup-simplify: Simplify k into k 1544871505.652 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.652 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.652 * [misc]backup-simplify: Simplify 2 into 2 1544871505.652 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.652 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.652 * [misc]backup-simplify: Simplify PI into PI 1544871505.652 * [misc]taylor: Taking taylor expansion of n in n 1544871505.652 * [misc]backup-simplify: Simplify 0 into 0 1544871505.652 * [misc]backup-simplify: Simplify 1 into 1 1544871505.652 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.653 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.653 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.653 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.653 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544871505.653 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544871505.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.654 * [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))) 1544871505.654 * [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)))) 1544871505.654 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544871505.654 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544871505.654 * [misc]taylor: Taking taylor expansion of k in n 1544871505.654 * [misc]backup-simplify: Simplify k into k 1544871505.655 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544871505.655 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544871505.655 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.655 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of k in n 1544871505.655 * [misc]backup-simplify: Simplify k into k 1544871505.655 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.655 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of 2 in n 1544871505.655 * [misc]backup-simplify: Simplify 2 into 2 1544871505.655 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.655 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.655 * [misc]backup-simplify: Simplify PI into PI 1544871505.655 * [misc]taylor: Taking taylor expansion of n in n 1544871505.655 * [misc]backup-simplify: Simplify 0 into 0 1544871505.655 * [misc]backup-simplify: Simplify 1 into 1 1544871505.655 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.655 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.656 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.656 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.656 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544871505.656 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544871505.656 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.657 * [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))) 1544871505.657 * [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)))) 1544871505.658 * [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)) 1544871505.658 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.658 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.658 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of k in k 1544871505.658 * [misc]backup-simplify: Simplify 0 into 0 1544871505.658 * [misc]backup-simplify: Simplify 1 into 1 1544871505.658 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.658 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871505.658 * [misc]taylor: Taking taylor expansion of 2 in k 1544871505.658 * [misc]backup-simplify: Simplify 2 into 2 1544871505.659 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.659 * [misc]backup-simplify: Simplify PI into PI 1544871505.659 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871505.659 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871505.659 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871505.659 * [misc]taylor: Taking taylor expansion of n in k 1544871505.659 * [misc]backup-simplify: Simplify n into n 1544871505.659 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871505.659 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.659 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871505.659 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871505.660 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871505.660 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544871505.660 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544871505.661 * [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)))) 1544871505.661 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871505.661 * [misc]taylor: Taking taylor expansion of k in k 1544871505.661 * [misc]backup-simplify: Simplify 0 into 0 1544871505.661 * [misc]backup-simplify: Simplify 1 into 1 1544871505.661 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871505.661 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871505.662 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544871505.662 * [misc]backup-simplify: Simplify 0 into 0 1544871505.662 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544871505.663 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871505.665 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871505.665 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871505.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544871505.665 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.666 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.666 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544871505.667 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871505.668 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544871505.668 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.668 * [misc]backup-simplify: Simplify 0 into 0 1544871505.668 * [misc]backup-simplify: Simplify 0 into 0 1544871505.669 * [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)))))) 1544871505.670 * [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)))))) 1544871505.671 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.671 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.675 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544871505.675 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.675 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871505.675 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.675 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.676 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544871505.678 * [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 1544871505.678 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544871505.679 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544871505.679 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.679 * [misc]backup-simplify: Simplify 0 into 0 1544871505.679 * [misc]backup-simplify: Simplify 0 into 0 1544871505.679 * [misc]backup-simplify: Simplify 0 into 0 1544871505.680 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871505.680 * [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)))))) 1544871505.681 * [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)))))) 1544871505.682 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871505.689 * [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 1544871505.689 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.689 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871505.689 * [misc]backup-simplify: Simplify (- 0) into 0 1544871505.690 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.690 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544871505.691 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544871505.693 * [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 1544871505.693 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544871505.694 * [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 1544871505.694 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.694 * [misc]backup-simplify: Simplify 0 into 0 1544871505.694 * [misc]backup-simplify: Simplify 0 into 0 1544871505.694 * [misc]backup-simplify: Simplify 0 into 0 1544871505.694 * [misc]backup-simplify: Simplify 0 into 0 1544871505.695 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871505.695 * [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)))))) 1544871505.696 * [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)))))) 1544871505.698 * [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)))))))) 1544871505.698 * [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))) 1544871505.698 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544871505.698 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.698 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.698 * [misc]taylor: Taking taylor expansion of k in k 1544871505.699 * [misc]backup-simplify: Simplify 0 into 0 1544871505.699 * [misc]backup-simplify: Simplify 1 into 1 1544871505.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.699 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.699 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544871505.699 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544871505.699 * [misc]taylor: Taking taylor expansion of -2 in k 1544871505.699 * [misc]backup-simplify: Simplify -2 into -2 1544871505.699 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544871505.699 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.699 * [misc]backup-simplify: Simplify PI into PI 1544871505.699 * [misc]taylor: Taking taylor expansion of n in k 1544871505.699 * [misc]backup-simplify: Simplify n into n 1544871505.699 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544871505.699 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544871505.699 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544871505.699 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.699 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.699 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544871505.700 * [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))) 1544871505.700 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871505.700 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871505.700 * [misc]taylor: Taking taylor expansion of -1 in k 1544871505.700 * [misc]backup-simplify: Simplify -1 into -1 1544871505.700 * [misc]taylor: Taking taylor expansion of k in k 1544871505.700 * [misc]backup-simplify: Simplify 0 into 0 1544871505.700 * [misc]backup-simplify: Simplify 1 into 1 1544871505.700 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871505.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871505.700 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871505.701 * [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)))) 1544871505.701 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of k in n 1544871505.701 * [misc]backup-simplify: Simplify k into k 1544871505.701 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.701 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of -2 in n 1544871505.701 * [misc]backup-simplify: Simplify -2 into -2 1544871505.701 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.701 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.701 * [misc]backup-simplify: Simplify PI into PI 1544871505.701 * [misc]taylor: Taking taylor expansion of n in n 1544871505.701 * [misc]backup-simplify: Simplify 0 into 0 1544871505.701 * [misc]backup-simplify: Simplify 1 into 1 1544871505.701 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.701 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.702 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544871505.702 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.702 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871505.702 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.703 * [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))) 1544871505.703 * [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)))) 1544871505.703 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544871505.703 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871505.703 * [misc]taylor: Taking taylor expansion of -1 in n 1544871505.703 * [misc]backup-simplify: Simplify -1 into -1 1544871505.703 * [misc]taylor: Taking taylor expansion of k in n 1544871505.703 * [misc]backup-simplify: Simplify k into k 1544871505.704 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871505.704 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544871505.704 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871505.704 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544871505.705 * [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))) 1544871505.705 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.705 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of k in n 1544871505.705 * [misc]backup-simplify: Simplify k into k 1544871505.705 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871505.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871505.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.705 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of -2 in n 1544871505.705 * [misc]backup-simplify: Simplify -2 into -2 1544871505.705 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544871505.705 * [misc]taylor: Taking taylor expansion of PI in n 1544871505.705 * [misc]backup-simplify: Simplify PI into PI 1544871505.706 * [misc]taylor: Taking taylor expansion of n in n 1544871505.706 * [misc]backup-simplify: Simplify 0 into 0 1544871505.706 * [misc]backup-simplify: Simplify 1 into 1 1544871505.706 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544871505.706 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.707 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544871505.707 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544871505.707 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871505.708 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.708 * [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))) 1544871505.709 * [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)))) 1544871505.709 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544871505.709 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871505.709 * [misc]taylor: Taking taylor expansion of -1 in n 1544871505.709 * [misc]backup-simplify: Simplify -1 into -1 1544871505.709 * [misc]taylor: Taking taylor expansion of k in n 1544871505.709 * [misc]backup-simplify: Simplify k into k 1544871505.709 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871505.709 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544871505.710 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871505.710 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544871505.711 * [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))) 1544871505.711 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of k in k 1544871505.711 * [misc]backup-simplify: Simplify 0 into 0 1544871505.711 * [misc]backup-simplify: Simplify 1 into 1 1544871505.711 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871505.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871505.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871505.711 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544871505.711 * [misc]taylor: Taking taylor expansion of -2 in k 1544871505.711 * [misc]backup-simplify: Simplify -2 into -2 1544871505.711 * [misc]taylor: Taking taylor expansion of PI in k 1544871505.712 * [misc]backup-simplify: Simplify PI into PI 1544871505.712 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544871505.712 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544871505.712 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871505.712 * [misc]taylor: Taking taylor expansion of n in k 1544871505.712 * [misc]backup-simplify: Simplify n into n 1544871505.712 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871505.713 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871505.713 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871505.713 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871505.713 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544871505.714 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544871505.715 * [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)))) 1544871505.715 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871505.715 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871505.715 * [misc]taylor: Taking taylor expansion of -1 in k 1544871505.715 * [misc]backup-simplify: Simplify -1 into -1 1544871505.715 * [misc]taylor: Taking taylor expansion of k in k 1544871505.715 * [misc]backup-simplify: Simplify 0 into 0 1544871505.715 * [misc]backup-simplify: Simplify 1 into 1 1544871505.715 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871505.715 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871505.716 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871505.717 * [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))))) 1544871505.717 * [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))))) 1544871505.719 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544871505.720 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544871505.726 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544871505.726 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871505.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544871505.726 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.727 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.728 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544871505.729 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871505.730 * [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 1544871505.730 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.730 * [misc]backup-simplify: Simplify 0 into 0 1544871505.731 * [misc]backup-simplify: Simplify 0 into 0 1544871505.731 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871505.732 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871505.733 * [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)))))) 1544871505.734 * [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)))))) 1544871505.736 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.737 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871505.743 * [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 1544871505.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.743 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871505.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871505.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544871505.745 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544871505.748 * [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 1544871505.748 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871505.749 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544871505.750 * [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 1544871505.750 * [misc]taylor: Taking taylor expansion of 0 in k 1544871505.750 * [misc]backup-simplify: Simplify 0 into 0 1544871505.750 * [misc]backup-simplify: Simplify 0 into 0 1544871505.750 * [misc]backup-simplify: Simplify 0 into 0 1544871505.751 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871505.752 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871505.754 * [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)))))) 1544871505.755 * [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)))))) 1544871505.758 * [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))))))))))) 1544871505.759 * * * [misc]progress: simplifying candidates 1544871505.759 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1544871505.759 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1544871505.759 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1544871505.759 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544871505.760 * * [misc]simplify: iters left: 6 (11 enodes) 1544871505.766 * * [misc]simplify: iters left: 5 (21 enodes) 1544871505.778 * * [misc]simplify: iters left: 4 (47 enodes) 1544871505.800 * * [misc]simplify: iters left: 3 (113 enodes) 1544871505.856 * * [misc]simplify: iters left: 2 (328 enodes) 1544871506.343 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544871506.343 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544871506.343 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1544871506.343 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1544871506.343 * [enter]simplify: Simplifying (* PI (* n 2)) 1544871506.344 * * [misc]simplify: iters left: 4 (5 enodes) 1544871506.345 * * [misc]simplify: iters left: 3 (9 enodes) 1544871506.347 * * [misc]simplify: iters left: 2 (15 enodes) 1544871506.350 * * [misc]simplify: iters left: 1 (17 enodes) 1544871506.352 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544871506.352 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544871506.352 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1544871506.353 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544871506.353 * * [misc]simplify: iters left: 5 (8 enodes) 1544871506.355 * * [misc]simplify: iters left: 4 (12 enodes) 1544871506.357 * * [misc]simplify: iters left: 3 (18 enodes) 1544871506.361 * * [misc]simplify: iters left: 2 (20 enodes) 1544871506.364 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544871506.364 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544871506.364 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1544871506.364 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544871506.365 * * [misc]simplify: iters left: 5 (6 enodes) 1544871506.366 * * [misc]simplify: iters left: 4 (8 enodes) 1544871506.367 * * [misc]simplify: iters left: 3 (11 enodes) 1544871506.369 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544871506.369 * [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))) 1544871506.369 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1544871506.369 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544871506.370 * * [misc]simplify: iters left: 5 (6 enodes) 1544871506.371 * * [misc]simplify: iters left: 4 (8 enodes) 1544871506.373 * * [misc]simplify: iters left: 3 (11 enodes) 1544871506.375 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544871506.375 * [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))) 1544871506.375 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1544871506.375 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544871506.375 * * [misc]simplify: iters left: 4 (5 enodes) 1544871506.376 * * [misc]simplify: iters left: 3 (7 enodes) 1544871506.378 * * [misc]simplify: iters left: 2 (10 enodes) 1544871506.379 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544871506.380 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544871506.380 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1544871506.380 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544871506.381 * * [misc]simplify: iters left: 5 (9 enodes) 1544871506.385 * * [misc]simplify: iters left: 4 (15 enodes) 1544871506.390 * * [misc]simplify: iters left: 3 (21 enodes) 1544871506.396 * * [misc]simplify: iters left: 2 (22 enodes) 1544871506.401 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544871506.401 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544871506.401 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1544871506.401 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544871506.401 * * [misc]simplify: iters left: 5 (9 enodes) 1544871506.403 * * [misc]simplify: iters left: 4 (15 enodes) 1544871506.406 * * [misc]simplify: iters left: 3 (21 enodes) 1544871506.410 * * [misc]simplify: iters left: 2 (22 enodes) 1544871506.413 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544871506.413 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544871506.413 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1544871506.414 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544871506.414 * * [misc]simplify: iters left: 5 (7 enodes) 1544871506.415 * * [misc]simplify: iters left: 4 (9 enodes) 1544871506.417 * * [misc]simplify: iters left: 3 (12 enodes) 1544871506.419 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544871506.419 * [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))) 1544871506.419 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1544871506.419 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1544871506.420 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1544871506.420 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544871506.421 * * [misc]simplify: iters left: 6 (14 enodes) 1544871506.424 * * [misc]simplify: iters left: 5 (27 enodes) 1544871506.432 * * [misc]simplify: iters left: 4 (55 enodes) 1544871506.467 * * [misc]simplify: iters left: 3 (144 enodes) 1544871506.594 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544871506.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544871506.594 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1544871506.594 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544871506.595 * * [misc]simplify: iters left: 6 (14 enodes) 1544871506.599 * * [misc]simplify: iters left: 5 (27 enodes) 1544871506.606 * * [misc]simplify: iters left: 4 (55 enodes) 1544871506.627 * * [misc]simplify: iters left: 3 (144 enodes) 1544871506.765 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544871506.765 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544871506.765 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1544871506.766 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544871506.767 * * [misc]simplify: iters left: 6 (14 enodes) 1544871506.773 * * [misc]simplify: iters left: 5 (24 enodes) 1544871506.784 * * [misc]simplify: iters left: 4 (43 enodes) 1544871506.803 * * [misc]simplify: iters left: 3 (73 enodes) 1544871506.866 * * [misc]simplify: iters left: 2 (220 enodes) 1544871507.269 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544871507.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544871507.270 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1544871507.270 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1544871507.270 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1544871507.270 * [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))) 1544871507.272 * * [misc]simplify: iters left: 6 (16 enodes) 1544871507.280 * * [misc]simplify: iters left: 5 (31 enodes) 1544871507.296 * * [misc]simplify: iters left: 4 (67 enodes) 1544871507.328 * * [misc]simplify: iters left: 3 (124 enodes) 1544871507.369 * * [misc]simplify: iters left: 2 (195 enodes) 1544871507.422 * * [misc]simplify: iters left: 1 (309 enodes) 1544871507.613 * [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)))) 1544871507.613 * [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)))))) 1544871507.613 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1544871507.613 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1544871507.613 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1544871507.613 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1544871507.614 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1544871507.614 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871507.615 * * [misc]simplify: iters left: 6 (12 enodes) 1544871507.621 * * [misc]simplify: iters left: 5 (19 enodes) 1544871507.628 * * [misc]simplify: iters left: 4 (25 enodes) 1544871507.636 * * [misc]simplify: iters left: 3 (26 enodes) 1544871507.646 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871507.646 * [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))))) 1544871507.646 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544871507.647 * * [misc]simplify: iters left: 6 (12 enodes) 1544871507.653 * * [misc]simplify: iters left: 5 (18 enodes) 1544871507.659 * * [misc]simplify: iters left: 4 (24 enodes) 1544871507.667 * * [misc]simplify: iters left: 3 (25 enodes) 1544871507.671 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544871507.671 * [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))))) 1544871507.671 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1544871507.671 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544871507.672 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.675 * * [misc]simplify: iters left: 5 (16 enodes) 1544871507.678 * * [misc]simplify: iters left: 4 (22 enodes) 1544871507.681 * * [misc]simplify: iters left: 3 (24 enodes) 1544871507.685 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544871507.685 * [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))))) 1544871507.686 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544871507.686 * * [misc]simplify: iters left: 6 (12 enodes) 1544871507.689 * * [misc]simplify: iters left: 5 (18 enodes) 1544871507.693 * * [misc]simplify: iters left: 4 (24 enodes) 1544871507.697 * * [misc]simplify: iters left: 3 (25 enodes) 1544871507.701 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544871507.701 * [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))))) 1544871507.701 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1544871507.702 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544871507.702 * * [misc]simplify: iters left: 6 (9 enodes) 1544871507.704 * * [misc]simplify: iters left: 5 (16 enodes) 1544871507.708 * * [misc]simplify: iters left: 4 (24 enodes) 1544871507.712 * * [misc]simplify: iters left: 3 (26 enodes) 1544871507.715 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544871507.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544871507.716 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544871507.716 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.718 * * [misc]simplify: iters left: 5 (17 enodes) 1544871507.722 * * [misc]simplify: iters left: 4 (23 enodes) 1544871507.728 * * [misc]simplify: iters left: 3 (24 enodes) 1544871507.736 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544871507.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544871507.736 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1544871507.736 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871507.737 * * [misc]simplify: iters left: 6 (12 enodes) 1544871507.743 * * [misc]simplify: iters left: 5 (19 enodes) 1544871507.750 * * [misc]simplify: iters left: 4 (25 enodes) 1544871507.755 * * [misc]simplify: iters left: 3 (26 enodes) 1544871507.759 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871507.759 * [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))))) 1544871507.759 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544871507.760 * * [misc]simplify: iters left: 6 (12 enodes) 1544871507.763 * * [misc]simplify: iters left: 5 (18 enodes) 1544871507.766 * * [misc]simplify: iters left: 4 (24 enodes) 1544871507.770 * * [misc]simplify: iters left: 3 (25 enodes) 1544871507.776 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544871507.776 * [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))))) 1544871507.776 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1544871507.776 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544871507.777 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.781 * * [misc]simplify: iters left: 5 (16 enodes) 1544871507.784 * * [misc]simplify: iters left: 4 (22 enodes) 1544871507.788 * * [misc]simplify: iters left: 3 (24 enodes) 1544871507.792 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544871507.792 * [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))))) 1544871507.792 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544871507.793 * * [misc]simplify: iters left: 6 (12 enodes) 1544871507.796 * * [misc]simplify: iters left: 5 (18 enodes) 1544871507.799 * * [misc]simplify: iters left: 4 (24 enodes) 1544871507.803 * * [misc]simplify: iters left: 3 (25 enodes) 1544871507.808 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544871507.808 * [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))))) 1544871507.808 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1544871507.809 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544871507.810 * * [misc]simplify: iters left: 6 (9 enodes) 1544871507.814 * * [misc]simplify: iters left: 5 (16 enodes) 1544871507.821 * * [misc]simplify: iters left: 4 (24 enodes) 1544871507.828 * * [misc]simplify: iters left: 3 (26 enodes) 1544871507.831 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544871507.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544871507.832 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544871507.832 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.835 * * [misc]simplify: iters left: 5 (17 enodes) 1544871507.838 * * [misc]simplify: iters left: 4 (23 enodes) 1544871507.841 * * [misc]simplify: iters left: 3 (24 enodes) 1544871507.845 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544871507.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544871507.845 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1544871507.845 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871507.846 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.848 * * [misc]simplify: iters left: 5 (15 enodes) 1544871507.852 * * [misc]simplify: iters left: 4 (18 enodes) 1544871507.855 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871507.856 * [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))))) 1544871507.856 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544871507.856 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.858 * * [misc]simplify: iters left: 5 (14 enodes) 1544871507.861 * * [misc]simplify: iters left: 4 (17 enodes) 1544871507.863 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544871507.864 * [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))))) 1544871507.864 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1544871507.864 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544871507.865 * * [misc]simplify: iters left: 6 (10 enodes) 1544871507.866 * * [misc]simplify: iters left: 5 (12 enodes) 1544871507.868 * * [misc]simplify: iters left: 4 (15 enodes) 1544871507.871 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544871507.871 * [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))))) 1544871507.871 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544871507.872 * * [misc]simplify: iters left: 6 (11 enodes) 1544871507.874 * * [misc]simplify: iters left: 5 (14 enodes) 1544871507.876 * * [misc]simplify: iters left: 4 (17 enodes) 1544871507.879 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544871507.879 * [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))))) 1544871507.879 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1544871507.879 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544871507.880 * * [misc]simplify: iters left: 6 (9 enodes) 1544871507.882 * * [misc]simplify: iters left: 5 (13 enodes) 1544871507.885 * * [misc]simplify: iters left: 4 (18 enodes) 1544871507.887 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544871507.887 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544871507.887 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544871507.888 * * [misc]simplify: iters left: 6 (10 enodes) 1544871507.890 * * [misc]simplify: iters left: 5 (13 enodes) 1544871507.892 * * [misc]simplify: iters left: 4 (16 enodes) 1544871507.895 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544871507.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544871507.895 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1544871507.895 * [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)))) 1544871507.896 * * [misc]simplify: iters left: 6 (16 enodes) 1544871507.904 * * [misc]simplify: iters left: 5 (28 enodes) 1544871507.916 * * [misc]simplify: iters left: 4 (46 enodes) 1544871507.932 * * [misc]simplify: iters left: 3 (50 enodes) 1544871507.940 * * [misc]simplify: iters left: 2 (53 enodes) 1544871507.951 * [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)))) 1544871507.951 * [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))))) 1544871507.951 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544871507.952 * * [misc]simplify: iters left: 6 (14 enodes) 1544871507.955 * * [misc]simplify: iters left: 5 (20 enodes) 1544871507.959 * * [misc]simplify: iters left: 4 (29 enodes) 1544871507.963 * * [misc]simplify: iters left: 3 (30 enodes) 1544871507.968 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544871507.968 * [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))))) 1544871507.968 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1544871507.968 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544871507.969 * * [misc]simplify: iters left: 6 (15 enodes) 1544871507.972 * * [misc]simplify: iters left: 5 (23 enodes) 1544871507.977 * * [misc]simplify: iters left: 4 (34 enodes) 1544871507.983 * * [misc]simplify: iters left: 3 (37 enodes) 1544871507.990 * [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)))))) 1544871507.990 * [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))))) 1544871507.990 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544871507.991 * * [misc]simplify: iters left: 6 (14 enodes) 1544871507.994 * * [misc]simplify: iters left: 5 (20 enodes) 1544871507.998 * * [misc]simplify: iters left: 4 (29 enodes) 1544871508.004 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.015 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544871508.015 * [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))))) 1544871508.015 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1544871508.015 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544871508.017 * * [misc]simplify: iters left: 6 (14 enodes) 1544871508.023 * * [misc]simplify: iters left: 5 (24 enodes) 1544871508.034 * * [misc]simplify: iters left: 4 (39 enodes) 1544871508.049 * * [misc]simplify: iters left: 3 (54 enodes) 1544871508.068 * * [misc]simplify: iters left: 2 (80 enodes) 1544871508.081 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544871508.081 * [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)))) 1544871508.081 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544871508.082 * * [misc]simplify: iters left: 6 (13 enodes) 1544871508.084 * * [misc]simplify: iters left: 5 (19 enodes) 1544871508.088 * * [misc]simplify: iters left: 4 (28 enodes) 1544871508.093 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.098 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544871508.098 * [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)))) 1544871508.098 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1544871508.098 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871508.099 * * [misc]simplify: iters left: 6 (15 enodes) 1544871508.103 * * [misc]simplify: iters left: 5 (23 enodes) 1544871508.108 * * [misc]simplify: iters left: 4 (32 enodes) 1544871508.113 * * [misc]simplify: iters left: 3 (34 enodes) 1544871508.119 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871508.119 * [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))))) 1544871508.119 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544871508.120 * * [misc]simplify: iters left: 6 (14 enodes) 1544871508.122 * * [misc]simplify: iters left: 5 (20 enodes) 1544871508.126 * * [misc]simplify: iters left: 4 (29 enodes) 1544871508.131 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.136 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544871508.136 * [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))))) 1544871508.136 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1544871508.136 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544871508.137 * * [misc]simplify: iters left: 6 (14 enodes) 1544871508.140 * * [misc]simplify: iters left: 5 (20 enodes) 1544871508.144 * * [misc]simplify: iters left: 4 (29 enodes) 1544871508.148 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.153 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544871508.153 * [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))))) 1544871508.154 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544871508.154 * * [misc]simplify: iters left: 6 (14 enodes) 1544871508.157 * * [misc]simplify: iters left: 5 (20 enodes) 1544871508.161 * * [misc]simplify: iters left: 4 (29 enodes) 1544871508.168 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.180 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544871508.180 * [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))))) 1544871508.180 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1544871508.181 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544871508.182 * * [misc]simplify: iters left: 6 (13 enodes) 1544871508.188 * * [misc]simplify: iters left: 5 (21 enodes) 1544871508.198 * * [misc]simplify: iters left: 4 (32 enodes) 1544871508.207 * * [misc]simplify: iters left: 3 (33 enodes) 1544871508.217 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544871508.217 * [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)))) 1544871508.217 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544871508.218 * * [misc]simplify: iters left: 6 (13 enodes) 1544871508.224 * * [misc]simplify: iters left: 5 (19 enodes) 1544871508.227 * * [misc]simplify: iters left: 4 (28 enodes) 1544871508.232 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.237 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544871508.238 * [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)))) 1544871508.238 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1544871508.238 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871508.238 * * [misc]simplify: iters left: 6 (6 enodes) 1544871508.240 * * [misc]simplify: iters left: 5 (10 enodes) 1544871508.241 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544871508.241 * [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))))) 1544871508.242 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544871508.242 * * [misc]simplify: iters left: 6 (13 enodes) 1544871508.246 * * [misc]simplify: iters left: 5 (19 enodes) 1544871508.250 * * [misc]simplify: iters left: 4 (28 enodes) 1544871508.257 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.268 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544871508.268 * [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))))) 1544871508.268 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1544871508.268 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544871508.269 * * [misc]simplify: iters left: 4 (5 enodes) 1544871508.271 * * [misc]simplify: iters left: 3 (7 enodes) 1544871508.273 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544871508.273 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544871508.274 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544871508.275 * * [misc]simplify: iters left: 6 (13 enodes) 1544871508.281 * * [misc]simplify: iters left: 5 (19 enodes) 1544871508.285 * * [misc]simplify: iters left: 4 (28 enodes) 1544871508.290 * * [misc]simplify: iters left: 3 (30 enodes) 1544871508.295 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544871508.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544871508.295 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1544871508.295 * [enter]simplify: Simplifying (/ 1 1) 1544871508.295 * * [misc]simplify: iters left: 2 (2 enodes) 1544871508.296 * * [misc]simplify: iters left: 1 (4 enodes) 1544871508.296 * [exit]simplify: Simplified to 1 1544871508.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544871508.296 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544871508.297 * * [misc]simplify: iters left: 6 (12 enodes) 1544871508.300 * * [misc]simplify: iters left: 5 (18 enodes) 1544871508.303 * * [misc]simplify: iters left: 4 (27 enodes) 1544871508.308 * * [misc]simplify: iters left: 3 (29 enodes) 1544871508.312 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544871508.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544871508.313 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1544871508.313 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1544871508.313 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1544871508.313 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1544871508.313 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544871508.313 * * [misc]simplify: iters left: 2 (3 enodes) 1544871508.314 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544871508.314 * [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)))) 1544871508.314 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1544871508.314 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544871508.314 * * [misc]simplify: iters left: 2 (3 enodes) 1544871508.315 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544871508.315 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544871508.315 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1544871508.315 * [enter]simplify: Simplifying (sqrt k) 1544871508.315 * * [misc]simplify: iters left: 1 (2 enodes) 1544871508.315 * [exit]simplify: Simplified to (sqrt k) 1544871508.315 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544871508.315 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1544871508.315 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544871508.316 * * [misc]simplify: iters left: 5 (7 enodes) 1544871508.318 * * [misc]simplify: iters left: 4 (12 enodes) 1544871508.321 * * [misc]simplify: iters left: 3 (18 enodes) 1544871508.327 * * [misc]simplify: iters left: 2 (20 enodes) 1544871508.333 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544871508.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544871508.333 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1544871508.333 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544871508.334 * * [misc]simplify: iters left: 5 (7 enodes) 1544871508.337 * * [misc]simplify: iters left: 4 (12 enodes) 1544871508.342 * * [misc]simplify: iters left: 3 (18 enodes) 1544871508.349 * * [misc]simplify: iters left: 2 (20 enodes) 1544871508.355 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544871508.355 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544871508.355 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1544871508.356 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544871508.356 * * [misc]simplify: iters left: 5 (7 enodes) 1544871508.359 * * [misc]simplify: iters left: 4 (9 enodes) 1544871508.362 * * [misc]simplify: iters left: 3 (12 enodes) 1544871508.366 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544871508.366 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544871508.367 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1544871508.367 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544871508.368 * * [misc]simplify: iters left: 6 (12 enodes) 1544871508.375 * * [misc]simplify: iters left: 5 (18 enodes) 1544871508.382 * * [misc]simplify: iters left: 4 (27 enodes) 1544871508.391 * * [misc]simplify: iters left: 3 (29 enodes) 1544871508.401 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544871508.401 * [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))))))) 1544871508.401 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1544871508.402 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544871508.403 * * [misc]simplify: iters left: 6 (11 enodes) 1544871508.407 * * [misc]simplify: iters left: 5 (17 enodes) 1544871508.414 * * [misc]simplify: iters left: 4 (26 enodes) 1544871508.423 * * [misc]simplify: iters left: 3 (27 enodes) 1544871508.432 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544871508.432 * [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))))))) 1544871508.432 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1544871508.432 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1544871508.432 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544871508.433 * * [misc]simplify: iters left: 5 (7 enodes) 1544871508.437 * * [misc]simplify: iters left: 4 (12 enodes) 1544871508.442 * * [misc]simplify: iters left: 3 (18 enodes) 1544871508.448 * * [misc]simplify: iters left: 2 (20 enodes) 1544871508.455 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544871508.455 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544871508.455 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1544871508.455 * [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))))) 1544871508.460 * * [misc]simplify: iters left: 6 (37 enodes) 1544871508.488 * * [misc]simplify: iters left: 5 (108 enodes) 1544871508.557 * * [misc]simplify: iters left: 4 (368 enodes) 1544871509.253 * [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)))))) 1544871509.253 * [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))) 1544871509.253 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1544871509.254 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544871509.255 * * [misc]simplify: iters left: 6 (15 enodes) 1544871509.263 * * [misc]simplify: iters left: 5 (33 enodes) 1544871509.272 * * [misc]simplify: iters left: 4 (64 enodes) 1544871509.300 * * [misc]simplify: iters left: 3 (179 enodes) 1544871509.529 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544871509.529 * [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))) 1544871509.529 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1544871509.529 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544871509.531 * * [misc]simplify: iters left: 6 (15 enodes) 1544871509.540 * * [misc]simplify: iters left: 5 (30 enodes) 1544871509.554 * * [misc]simplify: iters left: 4 (65 enodes) 1544871509.588 * * [misc]simplify: iters left: 3 (208 enodes) 1544871509.853 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1544871509.853 * [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))) 1544871509.853 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1544871509.853 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544871509.854 * * [misc]simplify: iters left: 4 (5 enodes) 1544871509.855 * * [misc]simplify: iters left: 3 (9 enodes) 1544871509.857 * * [misc]simplify: iters left: 2 (15 enodes) 1544871509.859 * * [misc]simplify: iters left: 1 (17 enodes) 1544871509.862 * [exit]simplify: Simplified to (* (* PI n) 2) 1544871509.862 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544871509.862 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1544871509.862 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544871509.862 * * [misc]simplify: iters left: 4 (5 enodes) 1544871509.864 * * [misc]simplify: iters left: 3 (9 enodes) 1544871509.865 * * [misc]simplify: iters left: 2 (15 enodes) 1544871509.868 * * [misc]simplify: iters left: 1 (17 enodes) 1544871509.870 * [exit]simplify: Simplified to (* (* PI n) 2) 1544871509.871 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544871509.871 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1544871509.871 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544871509.871 * * [misc]simplify: iters left: 4 (5 enodes) 1544871509.873 * * [misc]simplify: iters left: 3 (9 enodes) 1544871509.877 * * [misc]simplify: iters left: 2 (15 enodes) 1544871509.882 * * [misc]simplify: iters left: 1 (17 enodes) 1544871509.888 * [exit]simplify: Simplified to (* (* PI n) 2) 1544871509.888 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544871509.888 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1544871509.889 * [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)))))))))))))))))))))) 1544871509.889 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871509.889 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1544871509.889 * [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)))))))) 1544871509.889 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871509.889 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1544871509.890 * [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))))))))))) 1544871509.890 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871509.890 * * * [misc]progress: adding candidates to table 1544871511.633 * * [misc]progress: iteration 2 / 4 1544871511.633 * * * [misc]progress: picking best candidate 1544871511.678 * * * * [misc]pick: Picked # 1544871511.678 * * * [misc]progress: localizing error 1544871511.732 * * * [misc]progress: generating rewritten candidates 1544871511.732 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1544871511.740 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) 1544871511.753 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1544871511.814 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544871511.943 * * * [misc]progress: generating series expansions 1544871511.943 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1544871511.944 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1544871511.944 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1544871511.944 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871511.944 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871511.944 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871511.944 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871511.944 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871511.944 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871511.944 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871511.944 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871511.944 * [misc]taylor: Taking taylor expansion of k in k 1544871511.944 * [misc]backup-simplify: Simplify 0 into 0 1544871511.944 * [misc]backup-simplify: Simplify 1 into 1 1544871511.944 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871511.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.944 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871511.944 * [misc]taylor: Taking taylor expansion of n in k 1544871511.944 * [misc]backup-simplify: Simplify n into n 1544871511.944 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871511.945 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871511.945 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871511.945 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871511.945 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871511.945 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871511.945 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871511.945 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871511.945 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871511.945 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871511.945 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871511.945 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871511.945 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871511.945 * [misc]taylor: Taking taylor expansion of k in n 1544871511.945 * [misc]backup-simplify: Simplify k into k 1544871511.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871511.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.946 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871511.946 * [misc]taylor: Taking taylor expansion of n in n 1544871511.946 * [misc]backup-simplify: Simplify 0 into 0 1544871511.946 * [misc]backup-simplify: Simplify 1 into 1 1544871511.946 * [misc]backup-simplify: Simplify (log 1) into 0 1544871511.946 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871511.946 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871511.946 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871511.946 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871511.947 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871511.947 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871511.947 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871511.947 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871511.947 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871511.947 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871511.947 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871511.947 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871511.947 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871511.947 * [misc]taylor: Taking taylor expansion of k in n 1544871511.947 * [misc]backup-simplify: Simplify k into k 1544871511.947 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871511.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.947 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871511.947 * [misc]taylor: Taking taylor expansion of n in n 1544871511.947 * [misc]backup-simplify: Simplify 0 into 0 1544871511.947 * [misc]backup-simplify: Simplify 1 into 1 1544871511.947 * [misc]backup-simplify: Simplify (log 1) into 0 1544871511.947 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871511.947 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871511.948 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871511.948 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871511.948 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871511.948 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1544871511.948 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1544871511.948 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1544871511.948 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871511.948 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871511.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.948 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871511.948 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871511.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.948 * [misc]taylor: Taking taylor expansion of k in k 1544871511.948 * [misc]backup-simplify: Simplify 0 into 0 1544871511.948 * [misc]backup-simplify: Simplify 1 into 1 1544871511.948 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871511.948 * [misc]taylor: Taking taylor expansion of n in k 1544871511.948 * [misc]backup-simplify: Simplify n into n 1544871511.948 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871511.949 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871511.949 * [misc]backup-simplify: Simplify (- 0) into 0 1544871511.949 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871511.949 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871511.949 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871511.949 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1544871511.952 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871511.952 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1544871511.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871511.952 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871511.953 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1544871511.954 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871511.954 * [misc]taylor: Taking taylor expansion of 0 in k 1544871511.954 * [misc]backup-simplify: Simplify 0 into 0 1544871511.954 * [misc]backup-simplify: Simplify 0 into 0 1544871511.955 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871511.955 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544871511.955 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871511.955 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871511.956 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871511.956 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871511.956 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1544871511.961 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871511.961 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544871511.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871511.962 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871511.962 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1544871511.964 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871511.964 * [misc]taylor: Taking taylor expansion of 0 in k 1544871511.964 * [misc]backup-simplify: Simplify 0 into 0 1544871511.964 * [misc]backup-simplify: Simplify 0 into 0 1544871511.964 * [misc]backup-simplify: Simplify 0 into 0 1544871511.966 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871511.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871511.967 * [misc]backup-simplify: Simplify (- 0) into 0 1544871511.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871511.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871511.969 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871511.970 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871511.972 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1544871511.972 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871511.972 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1544871511.972 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871511.972 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871511.972 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871511.972 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871511.972 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871511.972 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871511.972 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871511.972 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871511.972 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871511.972 * [misc]taylor: Taking taylor expansion of k in k 1544871511.972 * [misc]backup-simplify: Simplify 0 into 0 1544871511.972 * [misc]backup-simplify: Simplify 1 into 1 1544871511.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871511.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871511.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.973 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871511.973 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871511.973 * [misc]taylor: Taking taylor expansion of n in k 1544871511.973 * [misc]backup-simplify: Simplify n into n 1544871511.973 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871511.973 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871511.973 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871511.974 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871511.974 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871511.974 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871511.974 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871511.974 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871511.974 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871511.974 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871511.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of k in n 1544871511.974 * [misc]backup-simplify: Simplify k into k 1544871511.974 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871511.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871511.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.974 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871511.974 * [misc]taylor: Taking taylor expansion of n in n 1544871511.974 * [misc]backup-simplify: Simplify 0 into 0 1544871511.974 * [misc]backup-simplify: Simplify 1 into 1 1544871511.975 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871511.975 * [misc]backup-simplify: Simplify (log 1) into 0 1544871511.975 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871511.975 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871511.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871511.975 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871511.976 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871511.976 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871511.976 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871511.976 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871511.976 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871511.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of k in n 1544871511.976 * [misc]backup-simplify: Simplify k into k 1544871511.976 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871511.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871511.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.976 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871511.976 * [misc]taylor: Taking taylor expansion of n in n 1544871511.976 * [misc]backup-simplify: Simplify 0 into 0 1544871511.976 * [misc]backup-simplify: Simplify 1 into 1 1544871511.976 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871511.977 * [misc]backup-simplify: Simplify (log 1) into 0 1544871511.977 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871511.977 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871511.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871511.977 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871511.977 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871511.978 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of -1 in k 1544871511.978 * [misc]backup-simplify: Simplify -1 into -1 1544871511.978 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871511.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.978 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871511.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871511.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of k in k 1544871511.978 * [misc]backup-simplify: Simplify 0 into 0 1544871511.978 * [misc]backup-simplify: Simplify 1 into 1 1544871511.978 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871511.978 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871511.978 * [misc]taylor: Taking taylor expansion of n in k 1544871511.978 * [misc]backup-simplify: Simplify n into n 1544871511.978 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871511.979 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871511.979 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871511.979 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871511.979 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1544871511.979 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1544871511.979 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871511.980 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871511.980 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871511.983 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871511.983 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871511.983 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871511.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871511.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871511.984 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871511.985 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871511.985 * [misc]taylor: Taking taylor expansion of 0 in k 1544871511.985 * [misc]backup-simplify: Simplify 0 into 0 1544871511.985 * [misc]backup-simplify: Simplify 0 into 0 1544871511.985 * [misc]backup-simplify: Simplify 0 into 0 1544871511.986 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871511.990 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871511.990 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871511.991 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871511.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871511.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871511.992 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871511.993 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871511.994 * [misc]taylor: Taking taylor expansion of 0 in k 1544871511.994 * [misc]backup-simplify: Simplify 0 into 0 1544871511.994 * [misc]backup-simplify: Simplify 0 into 0 1544871511.994 * [misc]backup-simplify: Simplify 0 into 0 1544871511.994 * [misc]backup-simplify: Simplify 0 into 0 1544871511.994 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.003 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544871512.003 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.004 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871512.004 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.005 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1544871512.009 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871512.009 * [misc]taylor: Taking taylor expansion of 0 in k 1544871512.009 * [misc]backup-simplify: Simplify 0 into 0 1544871512.009 * [misc]backup-simplify: Simplify 0 into 0 1544871512.009 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1544871512.009 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1544871512.009 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1544871512.009 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.009 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871512.010 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871512.010 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.010 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.010 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.010 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.010 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.010 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.010 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.010 * [misc]backup-simplify: Simplify -1 into -1 1544871512.010 * [misc]taylor: Taking taylor expansion of k in k 1544871512.010 * [misc]backup-simplify: Simplify 0 into 0 1544871512.010 * [misc]backup-simplify: Simplify 1 into 1 1544871512.010 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.010 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871512.010 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871512.010 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.010 * [misc]backup-simplify: Simplify -1 into -1 1544871512.010 * [misc]taylor: Taking taylor expansion of n in k 1544871512.010 * [misc]backup-simplify: Simplify n into n 1544871512.010 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871512.011 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871512.011 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.011 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.011 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871512.011 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871512.011 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.011 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871512.011 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871512.011 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.011 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.012 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.012 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.012 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.012 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.012 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.012 * [misc]backup-simplify: Simplify -1 into -1 1544871512.012 * [misc]taylor: Taking taylor expansion of k in n 1544871512.012 * [misc]backup-simplify: Simplify k into k 1544871512.012 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.012 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.012 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.012 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.012 * [misc]backup-simplify: Simplify -1 into -1 1544871512.012 * [misc]taylor: Taking taylor expansion of n in n 1544871512.012 * [misc]backup-simplify: Simplify 0 into 0 1544871512.012 * [misc]backup-simplify: Simplify 1 into 1 1544871512.012 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.013 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.013 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.013 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.013 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.014 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.014 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.014 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.014 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871512.014 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871512.014 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.014 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.014 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.014 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.014 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.014 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.014 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.014 * [misc]backup-simplify: Simplify -1 into -1 1544871512.014 * [misc]taylor: Taking taylor expansion of k in n 1544871512.014 * [misc]backup-simplify: Simplify k into k 1544871512.015 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.015 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.015 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.015 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.015 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.015 * [misc]backup-simplify: Simplify -1 into -1 1544871512.015 * [misc]taylor: Taking taylor expansion of n in n 1544871512.015 * [misc]backup-simplify: Simplify 0 into 0 1544871512.015 * [misc]backup-simplify: Simplify 1 into 1 1544871512.015 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.015 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.015 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.015 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.016 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.016 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.016 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.016 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of k in k 1544871512.017 * [misc]backup-simplify: Simplify 0 into 0 1544871512.017 * [misc]backup-simplify: Simplify 1 into 1 1544871512.017 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.017 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of (log -1) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.017 * [misc]backup-simplify: Simplify -1 into -1 1544871512.017 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.017 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871512.017 * [misc]taylor: Taking taylor expansion of n in k 1544871512.017 * [misc]backup-simplify: Simplify n into n 1544871512.017 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871512.017 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871512.018 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.018 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871512.018 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1544871512.018 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1544871512.018 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.019 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.019 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871512.022 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871512.022 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871512.022 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871512.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.023 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1544871512.025 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.025 * [misc]taylor: Taking taylor expansion of 0 in k 1544871512.025 * [misc]backup-simplify: Simplify 0 into 0 1544871512.025 * [misc]backup-simplify: Simplify 0 into 0 1544871512.025 * [misc]backup-simplify: Simplify 0 into 0 1544871512.025 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.030 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871512.030 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.030 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871512.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.032 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1544871512.034 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871512.034 * [misc]taylor: Taking taylor expansion of 0 in k 1544871512.034 * [misc]backup-simplify: Simplify 0 into 0 1544871512.034 * [misc]backup-simplify: Simplify 0 into 0 1544871512.034 * [misc]backup-simplify: Simplify 0 into 0 1544871512.034 * [misc]backup-simplify: Simplify 0 into 0 1544871512.034 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.042 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1544871512.042 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.043 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1544871512.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.044 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1544871512.048 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871512.048 * [misc]taylor: Taking taylor expansion of 0 in k 1544871512.048 * [misc]backup-simplify: Simplify 0 into 0 1544871512.048 * [misc]backup-simplify: Simplify 0 into 0 1544871512.048 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1544871512.048 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) 1544871512.049 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871512.049 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1544871512.049 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871512.049 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871512.049 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871512.049 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.049 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.049 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.049 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.049 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.049 * [misc]taylor: Taking taylor expansion of k in k 1544871512.049 * [misc]backup-simplify: Simplify 0 into 0 1544871512.050 * [misc]backup-simplify: Simplify 1 into 1 1544871512.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.050 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.050 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.050 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.050 * [misc]backup-simplify: Simplify 2 into 2 1544871512.050 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.050 * [misc]backup-simplify: Simplify PI into PI 1544871512.050 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.051 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.051 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.051 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.052 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.054 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871512.054 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871512.054 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871512.054 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871512.054 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.054 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.054 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.054 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.054 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.054 * [misc]taylor: Taking taylor expansion of k in k 1544871512.054 * [misc]backup-simplify: Simplify 0 into 0 1544871512.054 * [misc]backup-simplify: Simplify 1 into 1 1544871512.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.054 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.054 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.054 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.054 * [misc]backup-simplify: Simplify 2 into 2 1544871512.054 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.054 * [misc]backup-simplify: Simplify PI into PI 1544871512.055 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.055 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.055 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.055 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.056 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.057 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871512.057 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1544871512.058 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.059 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.060 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871512.060 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1544871512.063 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1544871512.065 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1544871512.065 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871512.069 * [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 1544871512.069 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871512.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.070 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1544871512.074 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1544871512.075 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1544871512.081 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1544871512.082 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.082 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1544871512.082 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.082 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.082 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.082 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.082 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of k in k 1544871512.082 * [misc]backup-simplify: Simplify 0 into 0 1544871512.082 * [misc]backup-simplify: Simplify 1 into 1 1544871512.082 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.082 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.082 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.082 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.082 * [misc]backup-simplify: Simplify 2 into 2 1544871512.082 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.082 * [misc]backup-simplify: Simplify PI into PI 1544871512.082 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.083 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.083 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.083 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.083 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871512.084 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.084 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.084 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.084 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.084 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of k in k 1544871512.084 * [misc]backup-simplify: Simplify 0 into 0 1544871512.084 * [misc]backup-simplify: Simplify 1 into 1 1544871512.084 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.084 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.084 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.084 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.084 * [misc]backup-simplify: Simplify 2 into 2 1544871512.084 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.084 * [misc]backup-simplify: Simplify PI into PI 1544871512.084 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.085 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.085 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.085 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.085 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871512.086 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.086 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.086 * [misc]backup-simplify: Simplify 0 into 0 1544871512.086 * [misc]backup-simplify: Simplify 0 into 0 1544871512.086 * [misc]backup-simplify: Simplify 0 into 0 1544871512.086 * [misc]backup-simplify: Simplify 0 into 0 1544871512.086 * [misc]backup-simplify: Simplify 0 into 0 1544871512.086 * [misc]backup-simplify: Simplify 0 into 0 1544871512.087 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871512.087 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.087 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1544871512.087 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.087 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.087 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.087 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.087 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.087 * [misc]backup-simplify: Simplify -1 into -1 1544871512.087 * [misc]taylor: Taking taylor expansion of k in k 1544871512.087 * [misc]backup-simplify: Simplify 0 into 0 1544871512.087 * [misc]backup-simplify: Simplify 1 into 1 1544871512.087 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.087 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.087 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.087 * [misc]backup-simplify: Simplify 2 into 2 1544871512.087 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.087 * [misc]backup-simplify: Simplify PI into PI 1544871512.088 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.088 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.088 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.089 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.089 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.089 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.089 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871512.089 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871512.089 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.089 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.089 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.089 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.089 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.089 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.089 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.089 * [misc]backup-simplify: Simplify -1 into -1 1544871512.089 * [misc]taylor: Taking taylor expansion of k in k 1544871512.089 * [misc]backup-simplify: Simplify 0 into 0 1544871512.089 * [misc]backup-simplify: Simplify 1 into 1 1544871512.089 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.090 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.090 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.090 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.090 * [misc]backup-simplify: Simplify 2 into 2 1544871512.090 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.090 * [misc]backup-simplify: Simplify PI into PI 1544871512.090 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.090 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.090 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.090 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.091 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.091 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.092 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.092 * [misc]backup-simplify: Simplify 0 into 0 1544871512.092 * [misc]backup-simplify: Simplify 0 into 0 1544871512.092 * [misc]backup-simplify: Simplify 0 into 0 1544871512.092 * [misc]backup-simplify: Simplify 0 into 0 1544871512.092 * [misc]backup-simplify: Simplify 0 into 0 1544871512.092 * [misc]backup-simplify: Simplify 0 into 0 1544871512.092 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871512.092 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1544871512.093 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) into (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 1544871512.093 * [misc]approximate: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in (k n) around 0 1544871512.093 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871512.093 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.093 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.093 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.093 * [misc]taylor: Taking taylor expansion of k in n 1544871512.093 * [misc]backup-simplify: Simplify k into k 1544871512.093 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.093 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of n in n 1544871512.093 * [misc]backup-simplify: Simplify 0 into 0 1544871512.093 * [misc]backup-simplify: Simplify 1 into 1 1544871512.093 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.093 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871512.093 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871512.093 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.093 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871512.093 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871512.093 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1544871512.093 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871512.094 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.094 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871512.094 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.094 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.094 * [misc]taylor: Taking taylor expansion of k in n 1544871512.094 * [misc]backup-simplify: Simplify k into k 1544871512.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.094 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.094 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.094 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.094 * [misc]backup-simplify: Simplify 2 into 2 1544871512.094 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.094 * [misc]backup-simplify: Simplify PI into PI 1544871512.094 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.094 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.094 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871512.094 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871512.095 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1544871512.095 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1544871512.095 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1544871512.095 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871512.095 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871512.095 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871512.095 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.095 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.095 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.095 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.095 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.095 * [misc]taylor: Taking taylor expansion of k in k 1544871512.095 * [misc]backup-simplify: Simplify 0 into 0 1544871512.095 * [misc]backup-simplify: Simplify 1 into 1 1544871512.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.095 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871512.095 * [misc]taylor: Taking taylor expansion of n in k 1544871512.095 * [misc]backup-simplify: Simplify n into n 1544871512.096 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871512.096 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.096 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.096 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871512.096 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871512.096 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871512.096 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871512.096 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871512.096 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.096 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.096 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.096 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.096 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.096 * [misc]taylor: Taking taylor expansion of k in k 1544871512.096 * [misc]backup-simplify: Simplify 0 into 0 1544871512.096 * [misc]backup-simplify: Simplify 1 into 1 1544871512.096 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.096 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.096 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.096 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.096 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.096 * [misc]backup-simplify: Simplify 2 into 2 1544871512.096 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.096 * [misc]backup-simplify: Simplify PI into PI 1544871512.096 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.097 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.097 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.097 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.097 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.098 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871512.098 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1544871512.098 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871512.098 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871512.098 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871512.098 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.098 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.098 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.098 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.098 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.098 * [misc]taylor: Taking taylor expansion of k in k 1544871512.098 * [misc]backup-simplify: Simplify 0 into 0 1544871512.098 * [misc]backup-simplify: Simplify 1 into 1 1544871512.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.098 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871512.098 * [misc]taylor: Taking taylor expansion of n in k 1544871512.098 * [misc]backup-simplify: Simplify n into n 1544871512.098 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871512.099 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.099 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.099 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871512.099 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871512.099 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871512.099 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871512.099 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871512.099 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.099 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.099 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.099 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.099 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.099 * [misc]taylor: Taking taylor expansion of k in k 1544871512.099 * [misc]backup-simplify: Simplify 0 into 0 1544871512.099 * [misc]backup-simplify: Simplify 1 into 1 1544871512.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.099 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.099 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.099 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.099 * [misc]backup-simplify: Simplify 2 into 2 1544871512.099 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.099 * [misc]backup-simplify: Simplify PI into PI 1544871512.099 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.100 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.100 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.100 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.101 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.102 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871512.104 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1544871512.104 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1544871512.104 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1544871512.104 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.104 * [misc]backup-simplify: Simplify PI into PI 1544871512.104 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1544871512.104 * [misc]taylor: Taking taylor expansion of n in n 1544871512.104 * [misc]backup-simplify: Simplify 0 into 0 1544871512.104 * [misc]backup-simplify: Simplify 1 into 1 1544871512.104 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.104 * [misc]backup-simplify: Simplify 2 into 2 1544871512.104 * [misc]backup-simplify: Simplify (* 0 2) into 0 1544871512.104 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871512.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1544871512.105 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1544871512.105 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.106 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.106 * [misc]backup-simplify: Simplify 0 into 0 1544871512.107 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.110 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.111 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871512.111 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.112 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1544871512.117 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1544871512.118 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871512.118 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871512.118 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.118 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871512.119 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871512.122 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1544871512.122 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.122 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.122 * [misc]backup-simplify: Simplify 2 into 2 1544871512.122 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.122 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.122 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.122 * [misc]backup-simplify: Simplify 2 into 2 1544871512.123 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.123 * [misc]backup-simplify: Simplify PI into PI 1544871512.123 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.123 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.123 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.123 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.123 * [misc]taylor: Taking taylor expansion of n in n 1544871512.123 * [misc]backup-simplify: Simplify 0 into 0 1544871512.123 * [misc]backup-simplify: Simplify 1 into 1 1544871512.123 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.123 * [misc]backup-simplify: Simplify PI into PI 1544871512.124 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.124 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.125 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.125 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.125 * [misc]backup-simplify: Simplify 2 into 2 1544871512.125 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.125 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of n in n 1544871512.125 * [misc]backup-simplify: Simplify 0 into 0 1544871512.125 * [misc]backup-simplify: Simplify 1 into 1 1544871512.125 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.125 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.125 * [misc]taylor: Taking taylor expansion of n in n 1544871512.125 * [misc]backup-simplify: Simplify 0 into 0 1544871512.125 * [misc]backup-simplify: Simplify 1 into 1 1544871512.125 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.125 * [misc]backup-simplify: Simplify PI into PI 1544871512.125 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.126 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.126 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.127 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1544871512.128 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1544871512.128 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871512.128 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.128 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871512.128 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1544871512.128 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871512.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.128 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.129 * [misc]backup-simplify: Simplify 0 into 0 1544871512.129 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1544871512.129 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871512.133 * [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 1544871512.133 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871512.133 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.134 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1544871512.138 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1544871512.139 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871512.139 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871512.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.140 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871512.141 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871512.146 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1544871512.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871512.146 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871512.146 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.146 * [misc]backup-simplify: Simplify 2 into 2 1544871512.146 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.146 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.146 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of n in n 1544871512.146 * [misc]backup-simplify: Simplify 0 into 0 1544871512.146 * [misc]backup-simplify: Simplify 1 into 1 1544871512.146 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.146 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.146 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.146 * [misc]taylor: Taking taylor expansion of n in n 1544871512.147 * [misc]backup-simplify: Simplify 0 into 0 1544871512.147 * [misc]backup-simplify: Simplify 1 into 1 1544871512.147 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.147 * [misc]backup-simplify: Simplify PI into PI 1544871512.147 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.147 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.147 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.148 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.148 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871512.148 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871512.148 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.148 * [misc]backup-simplify: Simplify 2 into 2 1544871512.148 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.148 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.148 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.148 * [misc]backup-simplify: Simplify 2 into 2 1544871512.148 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.148 * [misc]backup-simplify: Simplify PI into PI 1544871512.148 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.149 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.149 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.149 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.149 * [misc]taylor: Taking taylor expansion of n in n 1544871512.149 * [misc]backup-simplify: Simplify 0 into 0 1544871512.149 * [misc]backup-simplify: Simplify 1 into 1 1544871512.149 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.149 * [misc]backup-simplify: Simplify PI into PI 1544871512.149 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.150 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.150 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.150 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544871512.150 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544871512.150 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.150 * [misc]backup-simplify: Simplify 2 into 2 1544871512.150 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.150 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of n in n 1544871512.150 * [misc]backup-simplify: Simplify 0 into 0 1544871512.150 * [misc]backup-simplify: Simplify 1 into 1 1544871512.150 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.150 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.150 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.151 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.151 * [misc]backup-simplify: Simplify 2 into 2 1544871512.151 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.151 * [misc]backup-simplify: Simplify PI into PI 1544871512.151 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.151 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.151 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.151 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.151 * [misc]taylor: Taking taylor expansion of n in n 1544871512.151 * [misc]backup-simplify: Simplify 0 into 0 1544871512.151 * [misc]backup-simplify: Simplify 1 into 1 1544871512.151 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.151 * [misc]backup-simplify: Simplify PI into PI 1544871512.152 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.152 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.152 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.153 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.154 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.154 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.154 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1544871512.155 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1544871512.155 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1544871512.156 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871512.157 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1544871512.159 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1544871512.160 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1544871512.160 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871512.161 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.161 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1544871512.161 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1544871512.162 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1544871512.162 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1544871512.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.162 * [misc]backup-simplify: Simplify 0 into 0 1544871512.163 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.165 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.166 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1544871512.167 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1544871512.169 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1544871512.171 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871512.171 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.171 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1544871512.171 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871512.172 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871512.174 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544871512.175 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544871512.177 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1544871512.177 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1544871512.178 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1544871512.179 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544871512.180 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1544871512.183 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1544871512.183 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871512.183 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in (k n) around 0 1544871512.183 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871512.183 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.183 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871512.183 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871512.183 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.184 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.184 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.184 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.184 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.184 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.184 * [misc]taylor: Taking taylor expansion of k in n 1544871512.184 * [misc]backup-simplify: Simplify k into k 1544871512.184 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.184 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.184 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.184 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.184 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.184 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.184 * [misc]backup-simplify: Simplify 2 into 2 1544871512.184 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.184 * [misc]backup-simplify: Simplify PI into PI 1544871512.184 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.184 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.184 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.184 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.186 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871512.187 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871512.187 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.187 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.187 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.187 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of k in n 1544871512.187 * [misc]backup-simplify: Simplify k into k 1544871512.187 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.187 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871512.187 * [misc]taylor: Taking taylor expansion of n in n 1544871512.187 * [misc]backup-simplify: Simplify 0 into 0 1544871512.187 * [misc]backup-simplify: Simplify 1 into 1 1544871512.187 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.187 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.187 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.187 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.188 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871512.188 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871512.188 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.188 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.188 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.188 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.188 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of k in k 1544871512.188 * [misc]backup-simplify: Simplify 0 into 0 1544871512.188 * [misc]backup-simplify: Simplify 1 into 1 1544871512.188 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.188 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.188 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.188 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.188 * [misc]backup-simplify: Simplify 2 into 2 1544871512.188 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.188 * [misc]backup-simplify: Simplify PI into PI 1544871512.188 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.189 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.189 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.189 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.190 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871512.190 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.190 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.190 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.190 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.190 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.190 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of k in k 1544871512.190 * [misc]backup-simplify: Simplify 0 into 0 1544871512.190 * [misc]backup-simplify: Simplify 1 into 1 1544871512.190 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.190 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.190 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871512.190 * [misc]taylor: Taking taylor expansion of n in k 1544871512.190 * [misc]backup-simplify: Simplify n into n 1544871512.190 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871512.191 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871512.191 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.191 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.191 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871512.191 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871512.191 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.191 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.191 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.191 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of k in k 1544871512.191 * [misc]backup-simplify: Simplify 0 into 0 1544871512.191 * [misc]backup-simplify: Simplify 1 into 1 1544871512.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.191 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.191 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.191 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.191 * [misc]backup-simplify: Simplify 2 into 2 1544871512.192 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.192 * [misc]backup-simplify: Simplify PI into PI 1544871512.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.192 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.193 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.193 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.193 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871512.194 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.194 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.194 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871512.194 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871512.194 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.194 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.194 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.194 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.194 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.194 * [misc]taylor: Taking taylor expansion of k in k 1544871512.195 * [misc]backup-simplify: Simplify 0 into 0 1544871512.195 * [misc]backup-simplify: Simplify 1 into 1 1544871512.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.195 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871512.195 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871512.195 * [misc]taylor: Taking taylor expansion of n in k 1544871512.195 * [misc]backup-simplify: Simplify n into n 1544871512.195 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871512.195 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871512.195 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.195 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.196 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871512.196 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871512.196 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871512.196 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871512.196 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.197 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.197 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.197 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of k in n 1544871512.197 * [misc]backup-simplify: Simplify k into k 1544871512.197 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.197 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.197 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.197 * [misc]backup-simplify: Simplify 2 into 2 1544871512.197 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.197 * [misc]backup-simplify: Simplify PI into PI 1544871512.198 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.198 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.198 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.199 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.199 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871512.200 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871512.200 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.200 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871512.200 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871512.200 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.200 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.200 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.200 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.200 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.200 * [misc]taylor: Taking taylor expansion of k in n 1544871512.200 * [misc]backup-simplify: Simplify k into k 1544871512.200 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.201 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871512.201 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871512.201 * [misc]taylor: Taking taylor expansion of n in n 1544871512.201 * [misc]backup-simplify: Simplify 0 into 0 1544871512.201 * [misc]backup-simplify: Simplify 1 into 1 1544871512.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.201 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.201 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.201 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.201 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.202 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871512.202 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871512.202 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871512.203 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871512.204 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1544871512.204 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.204 * [misc]backup-simplify: Simplify 0 into 0 1544871512.204 * [misc]backup-simplify: Simplify 0 into 0 1544871512.204 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871512.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871512.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871512.206 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871512.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.206 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.206 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871512.207 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.207 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.209 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.209 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871512.209 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871512.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.210 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1544871512.211 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.212 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1544871512.212 * [misc]backup-simplify: Simplify 0 into 0 1544871512.212 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1544871512.212 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.212 * [misc]backup-simplify: Simplify 0 into 0 1544871512.212 * [misc]backup-simplify: Simplify 0 into 0 1544871512.212 * [misc]backup-simplify: Simplify 0 into 0 1544871512.212 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.215 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871512.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.216 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871512.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.216 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.216 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871512.217 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871512.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871512.222 * [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 1544871512.222 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.222 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871512.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.223 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1544871512.225 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871512.225 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1544871512.225 * [misc]backup-simplify: Simplify 0 into 0 1544871512.226 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1544871512.226 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.226 * [misc]backup-simplify: Simplify 0 into 0 1544871512.226 * [misc]backup-simplify: Simplify 0 into 0 1544871512.226 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1544871512.227 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1544871512.227 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1544871512.227 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.227 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.227 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.227 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.227 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.227 * [misc]backup-simplify: Simplify -1 into -1 1544871512.227 * [misc]taylor: Taking taylor expansion of k in n 1544871512.227 * [misc]backup-simplify: Simplify k into k 1544871512.227 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.227 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.227 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.227 * [misc]backup-simplify: Simplify -1 into -1 1544871512.227 * [misc]taylor: Taking taylor expansion of n in n 1544871512.227 * [misc]backup-simplify: Simplify 0 into 0 1544871512.227 * [misc]backup-simplify: Simplify 1 into 1 1544871512.227 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.228 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.228 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.228 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.228 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.228 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.228 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.228 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.228 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871512.228 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871512.228 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.228 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.228 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.228 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.228 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.228 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.228 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.229 * [misc]backup-simplify: Simplify -1 into -1 1544871512.229 * [misc]taylor: Taking taylor expansion of k in n 1544871512.229 * [misc]backup-simplify: Simplify k into k 1544871512.229 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.229 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.229 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.229 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.229 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.229 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.229 * [misc]backup-simplify: Simplify 2 into 2 1544871512.229 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.229 * [misc]backup-simplify: Simplify PI into PI 1544871512.229 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.229 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.229 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.229 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.230 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871512.230 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871512.230 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1544871512.230 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.230 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871512.230 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871512.230 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.230 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.230 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.230 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.230 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.230 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.230 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.230 * [misc]backup-simplify: Simplify -1 into -1 1544871512.230 * [misc]taylor: Taking taylor expansion of k in k 1544871512.231 * [misc]backup-simplify: Simplify 0 into 0 1544871512.231 * [misc]backup-simplify: Simplify 1 into 1 1544871512.231 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.231 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.231 * [misc]backup-simplify: Simplify -1 into -1 1544871512.231 * [misc]taylor: Taking taylor expansion of n in k 1544871512.231 * [misc]backup-simplify: Simplify n into n 1544871512.231 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871512.231 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871512.231 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.231 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.231 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871512.231 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871512.231 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.231 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.231 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.231 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.231 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.231 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.231 * [misc]backup-simplify: Simplify -1 into -1 1544871512.231 * [misc]taylor: Taking taylor expansion of k in k 1544871512.231 * [misc]backup-simplify: Simplify 0 into 0 1544871512.231 * [misc]backup-simplify: Simplify 1 into 1 1544871512.232 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.232 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.232 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.232 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.232 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.232 * [misc]backup-simplify: Simplify 2 into 2 1544871512.232 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.232 * [misc]backup-simplify: Simplify PI into PI 1544871512.232 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.232 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.232 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.232 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.233 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.233 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.233 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1544871512.233 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.233 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.234 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.234 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.234 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.234 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.234 * [misc]backup-simplify: Simplify -1 into -1 1544871512.234 * [misc]taylor: Taking taylor expansion of k in k 1544871512.234 * [misc]backup-simplify: Simplify 0 into 0 1544871512.234 * [misc]backup-simplify: Simplify 1 into 1 1544871512.234 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.234 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.234 * [misc]backup-simplify: Simplify -1 into -1 1544871512.234 * [misc]taylor: Taking taylor expansion of n in k 1544871512.234 * [misc]backup-simplify: Simplify n into n 1544871512.234 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871512.234 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871512.234 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.234 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.234 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871512.234 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871512.234 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871512.234 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.235 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.235 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.235 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.235 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.235 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.235 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.235 * [misc]backup-simplify: Simplify -1 into -1 1544871512.235 * [misc]taylor: Taking taylor expansion of k in k 1544871512.235 * [misc]backup-simplify: Simplify 0 into 0 1544871512.235 * [misc]backup-simplify: Simplify 1 into 1 1544871512.235 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.235 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.235 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.235 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.235 * [misc]backup-simplify: Simplify 2 into 2 1544871512.235 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.235 * [misc]backup-simplify: Simplify PI into PI 1544871512.235 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.236 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.236 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.236 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.237 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.237 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.238 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1544871512.238 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.238 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.238 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.238 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.238 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.238 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.238 * [misc]backup-simplify: Simplify -1 into -1 1544871512.238 * [misc]taylor: Taking taylor expansion of n in n 1544871512.238 * [misc]backup-simplify: Simplify 0 into 0 1544871512.238 * [misc]backup-simplify: Simplify 1 into 1 1544871512.239 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.239 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.239 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.239 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.239 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.239 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.239 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.239 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.239 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.239 * [misc]backup-simplify: Simplify -1 into -1 1544871512.239 * [misc]taylor: Taking taylor expansion of k in n 1544871512.239 * [misc]backup-simplify: Simplify k into k 1544871512.239 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.240 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.240 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.240 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.240 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.241 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.241 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.241 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.241 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.241 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.241 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.241 * [misc]backup-simplify: Simplify -1 into -1 1544871512.241 * [misc]taylor: Taking taylor expansion of k in n 1544871512.241 * [misc]backup-simplify: Simplify k into k 1544871512.241 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.241 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.241 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.241 * [misc]backup-simplify: Simplify 2 into 2 1544871512.241 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.241 * [misc]backup-simplify: Simplify PI into PI 1544871512.242 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.242 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.242 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.242 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.243 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871512.244 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871512.245 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871512.245 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871512.246 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1544871512.246 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.246 * [misc]backup-simplify: Simplify 0 into 0 1544871512.246 * [misc]backup-simplify: Simplify 0 into 0 1544871512.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.250 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.250 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871512.251 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871512.251 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.252 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1544871512.254 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.255 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871512.255 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871512.255 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871512.258 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871512.258 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871512.260 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.261 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871512.261 * [misc]backup-simplify: Simplify 0 into 0 1544871512.261 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1544871512.261 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.261 * [misc]backup-simplify: Simplify 0 into 0 1544871512.262 * [misc]backup-simplify: Simplify 0 into 0 1544871512.262 * [misc]backup-simplify: Simplify 0 into 0 1544871512.263 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871512.269 * [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 1544871512.269 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.269 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871512.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.271 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log (* 2 PI))))) into 0 1544871512.274 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871512.274 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.274 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871512.275 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871512.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.275 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.280 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871512.280 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871512.282 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871512.283 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544871512.283 * [misc]backup-simplify: Simplify 0 into 0 1544871512.284 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1544871512.284 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.284 * [misc]backup-simplify: Simplify 0 into 0 1544871512.284 * [misc]backup-simplify: Simplify 0 into 0 1544871512.285 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1544871512.285 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544871512.286 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k)) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1544871512.286 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1544871512.287 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of k in n 1544871512.287 * [misc]backup-simplify: Simplify k into k 1544871512.287 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.287 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544871512.287 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871512.287 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544871512.287 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871512.287 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.287 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871512.287 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.287 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.287 * [misc]taylor: Taking taylor expansion of k in n 1544871512.287 * [misc]backup-simplify: Simplify k into k 1544871512.287 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.287 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.288 * [misc]taylor: Taking taylor expansion of n in n 1544871512.288 * [misc]backup-simplify: Simplify 0 into 0 1544871512.288 * [misc]backup-simplify: Simplify 1 into 1 1544871512.288 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.288 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871512.288 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871512.288 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.288 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871512.288 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871512.288 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1544871512.288 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1544871512.289 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1544871512.289 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871512.289 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.289 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871512.289 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.289 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.289 * [misc]taylor: Taking taylor expansion of k in n 1544871512.289 * [misc]backup-simplify: Simplify k into k 1544871512.289 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.289 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.289 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.289 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.289 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.289 * [misc]backup-simplify: Simplify 2 into 2 1544871512.289 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.289 * [misc]backup-simplify: Simplify PI into PI 1544871512.289 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.290 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.290 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871512.290 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871512.291 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1544871512.291 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1544871512.291 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1544871512.291 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871512.291 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.291 * [misc]taylor: Taking taylor expansion of k in k 1544871512.292 * [misc]backup-simplify: Simplify 0 into 0 1544871512.292 * [misc]backup-simplify: Simplify 1 into 1 1544871512.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.292 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.292 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871512.292 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1544871512.292 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871512.292 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871512.292 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871512.292 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.293 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.293 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.293 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.293 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.293 * [misc]taylor: Taking taylor expansion of k in k 1544871512.293 * [misc]backup-simplify: Simplify 0 into 0 1544871512.293 * [misc]backup-simplify: Simplify 1 into 1 1544871512.293 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.293 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871512.293 * [misc]taylor: Taking taylor expansion of n in k 1544871512.293 * [misc]backup-simplify: Simplify n into n 1544871512.293 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871512.293 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.293 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.293 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871512.293 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871512.293 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871512.293 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871512.293 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871512.294 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.294 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.294 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.294 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.294 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.294 * [misc]taylor: Taking taylor expansion of k in k 1544871512.294 * [misc]backup-simplify: Simplify 0 into 0 1544871512.294 * [misc]backup-simplify: Simplify 1 into 1 1544871512.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.294 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.294 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.294 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.294 * [misc]backup-simplify: Simplify 2 into 2 1544871512.294 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.294 * [misc]backup-simplify: Simplify PI into PI 1544871512.294 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.295 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.295 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.295 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.296 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.297 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871512.297 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1544871512.297 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871512.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.297 * [misc]taylor: Taking taylor expansion of k in k 1544871512.297 * [misc]backup-simplify: Simplify 0 into 0 1544871512.297 * [misc]backup-simplify: Simplify 1 into 1 1544871512.297 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.298 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.298 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871512.298 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1544871512.298 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871512.298 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871512.298 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871512.298 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.298 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.298 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.298 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.298 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.298 * [misc]taylor: Taking taylor expansion of k in k 1544871512.298 * [misc]backup-simplify: Simplify 0 into 0 1544871512.298 * [misc]backup-simplify: Simplify 1 into 1 1544871512.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.298 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871512.298 * [misc]taylor: Taking taylor expansion of n in k 1544871512.298 * [misc]backup-simplify: Simplify n into n 1544871512.299 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871512.299 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.299 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.299 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871512.299 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871512.299 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871512.299 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871512.299 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871512.299 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871512.299 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871512.299 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871512.299 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.299 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.299 * [misc]taylor: Taking taylor expansion of k in k 1544871512.299 * [misc]backup-simplify: Simplify 0 into 0 1544871512.299 * [misc]backup-simplify: Simplify 1 into 1 1544871512.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.299 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.299 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.299 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.299 * [misc]backup-simplify: Simplify 2 into 2 1544871512.299 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.300 * [misc]backup-simplify: Simplify PI into PI 1544871512.300 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.300 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.300 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871512.301 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871512.301 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.302 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871512.303 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1544871512.303 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1544871512.304 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.304 * [misc]backup-simplify: Simplify 0 into 0 1544871512.304 * [misc]backup-simplify: Simplify 0 into 0 1544871512.305 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.308 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871512.308 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1544871512.313 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1544871512.313 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871512.313 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871512.314 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.314 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871512.314 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871512.316 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1544871512.317 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1544871512.317 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544871512.317 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544871512.317 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.317 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.317 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871512.317 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.317 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.317 * [misc]backup-simplify: Simplify 2 into 2 1544871512.317 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.317 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.317 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.318 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.318 * [misc]taylor: Taking taylor expansion of n in n 1544871512.318 * [misc]backup-simplify: Simplify 0 into 0 1544871512.318 * [misc]backup-simplify: Simplify 1 into 1 1544871512.318 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.318 * [misc]backup-simplify: Simplify PI into PI 1544871512.318 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.318 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.318 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.319 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.319 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871512.319 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.319 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.319 * [misc]backup-simplify: Simplify 0 into 0 1544871512.319 * [misc]backup-simplify: Simplify 0 into 0 1544871512.321 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871512.324 * [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 1544871512.325 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871512.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1544871512.330 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1544871512.331 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871512.331 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871512.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871512.332 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871512.337 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1544871512.337 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871512.338 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871512.343 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1544871512.343 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1544871512.343 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1544871512.343 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1544871512.343 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.343 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.343 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1544871512.343 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871512.343 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.343 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.343 * [misc]backup-simplify: Simplify 2 into 2 1544871512.344 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.344 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.344 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.344 * [misc]taylor: Taking taylor expansion of n in n 1544871512.344 * [misc]backup-simplify: Simplify 0 into 0 1544871512.344 * [misc]backup-simplify: Simplify 1 into 1 1544871512.344 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.344 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.344 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.344 * [misc]taylor: Taking taylor expansion of n in n 1544871512.344 * [misc]backup-simplify: Simplify 0 into 0 1544871512.344 * [misc]backup-simplify: Simplify 1 into 1 1544871512.344 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.344 * [misc]backup-simplify: Simplify PI into PI 1544871512.344 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.345 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.345 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.345 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.345 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1544871512.345 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1544871512.345 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1544871512.345 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.345 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.345 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1544871512.345 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1544871512.345 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.345 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.345 * [misc]backup-simplify: Simplify 2 into 2 1544871512.345 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.345 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.346 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.346 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.346 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.346 * [misc]backup-simplify: Simplify 2 into 2 1544871512.346 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.346 * [misc]backup-simplify: Simplify PI into PI 1544871512.346 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.346 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.346 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.346 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.346 * [misc]taylor: Taking taylor expansion of n in n 1544871512.346 * [misc]backup-simplify: Simplify 0 into 0 1544871512.346 * [misc]backup-simplify: Simplify 1 into 1 1544871512.346 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.346 * [misc]backup-simplify: Simplify PI into PI 1544871512.346 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.347 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.347 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.347 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.347 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544871512.347 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544871512.347 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.347 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.347 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871512.347 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.347 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.347 * [misc]backup-simplify: Simplify 2 into 2 1544871512.348 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.348 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.348 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.348 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.348 * [misc]taylor: Taking taylor expansion of n in n 1544871512.348 * [misc]backup-simplify: Simplify 0 into 0 1544871512.348 * [misc]backup-simplify: Simplify 1 into 1 1544871512.348 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.348 * [misc]backup-simplify: Simplify PI into PI 1544871512.348 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.349 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.349 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.349 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871512.349 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1544871512.349 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.350 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1544871512.351 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1544871512.351 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.351 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871512.351 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.351 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.351 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.351 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.352 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.352 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.352 * [misc]backup-simplify: Simplify 0 into 0 1544871512.352 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.354 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.354 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.355 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.355 * [misc]backup-simplify: Simplify 0 into 0 1544871512.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871512.367 * [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 1544871512.367 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544871512.367 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.370 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1544871512.381 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1544871512.384 * [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 1544871512.385 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544871512.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1544871512.389 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1544871512.407 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1544871512.408 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.409 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871512.442 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1544871512.442 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1544871512.442 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1544871512.442 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1544871512.442 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.442 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.442 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1544871512.442 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1544871512.442 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.442 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.442 * [misc]backup-simplify: Simplify 2 into 2 1544871512.443 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.443 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.443 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1544871512.443 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.443 * [misc]taylor: Taking taylor expansion of n in n 1544871512.443 * [misc]backup-simplify: Simplify 0 into 0 1544871512.443 * [misc]backup-simplify: Simplify 1 into 1 1544871512.443 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.444 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.444 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.444 * [misc]taylor: Taking taylor expansion of n in n 1544871512.444 * [misc]backup-simplify: Simplify 0 into 0 1544871512.444 * [misc]backup-simplify: Simplify 1 into 1 1544871512.444 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.444 * [misc]backup-simplify: Simplify PI into PI 1544871512.444 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.445 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.445 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.446 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.446 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1544871512.446 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1544871512.446 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1544871512.446 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.446 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.446 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1544871512.446 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1544871512.446 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.446 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.446 * [misc]backup-simplify: Simplify 2 into 2 1544871512.446 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.447 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.447 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1544871512.447 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.447 * [misc]taylor: Taking taylor expansion of n in n 1544871512.447 * [misc]backup-simplify: Simplify 0 into 0 1544871512.447 * [misc]backup-simplify: Simplify 1 into 1 1544871512.447 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.447 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.447 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.447 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.447 * [misc]backup-simplify: Simplify 2 into 2 1544871512.447 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.447 * [misc]backup-simplify: Simplify PI into PI 1544871512.447 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.448 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.448 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.448 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.448 * [misc]taylor: Taking taylor expansion of n in n 1544871512.448 * [misc]backup-simplify: Simplify 0 into 0 1544871512.448 * [misc]backup-simplify: Simplify 1 into 1 1544871512.448 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.448 * [misc]backup-simplify: Simplify PI into PI 1544871512.449 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.449 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.450 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.450 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.450 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1544871512.450 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1544871512.450 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1544871512.450 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.450 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.450 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1544871512.450 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871512.450 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.450 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.450 * [misc]backup-simplify: Simplify 2 into 2 1544871512.451 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.451 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871512.451 * [misc]taylor: Taking taylor expansion of n in n 1544871512.451 * [misc]backup-simplify: Simplify 0 into 0 1544871512.451 * [misc]backup-simplify: Simplify 1 into 1 1544871512.451 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.451 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.451 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.451 * [misc]taylor: Taking taylor expansion of n in n 1544871512.451 * [misc]backup-simplify: Simplify 0 into 0 1544871512.451 * [misc]backup-simplify: Simplify 1 into 1 1544871512.451 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.451 * [misc]backup-simplify: Simplify PI into PI 1544871512.452 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.452 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.453 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.453 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1544871512.453 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1544871512.453 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544871512.453 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.453 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.453 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871512.453 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.453 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.453 * [misc]backup-simplify: Simplify 2 into 2 1544871512.454 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.454 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.454 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.454 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.454 * [misc]taylor: Taking taylor expansion of n in n 1544871512.454 * [misc]backup-simplify: Simplify 0 into 0 1544871512.454 * [misc]backup-simplify: Simplify 1 into 1 1544871512.454 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.454 * [misc]backup-simplify: Simplify PI into PI 1544871512.454 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.455 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.456 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.456 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1544871512.456 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1544871512.456 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1544871512.456 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.456 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.456 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1544871512.456 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1544871512.456 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.456 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.456 * [misc]backup-simplify: Simplify 2 into 2 1544871512.456 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.457 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.457 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.457 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.457 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.457 * [misc]backup-simplify: Simplify 2 into 2 1544871512.457 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.457 * [misc]backup-simplify: Simplify PI into PI 1544871512.457 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.458 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.458 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.458 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.458 * [misc]taylor: Taking taylor expansion of n in n 1544871512.458 * [misc]backup-simplify: Simplify 0 into 0 1544871512.458 * [misc]backup-simplify: Simplify 1 into 1 1544871512.458 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.458 * [misc]backup-simplify: Simplify PI into PI 1544871512.458 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.459 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.459 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.460 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.460 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.460 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.460 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.460 * [misc]backup-simplify: Simplify 2 into 2 1544871512.460 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871512.460 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871512.460 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.460 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.460 * [misc]backup-simplify: Simplify 2 into 2 1544871512.460 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.461 * [misc]backup-simplify: Simplify PI into PI 1544871512.461 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.461 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.461 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871512.461 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871512.462 * [misc]taylor: Taking taylor expansion of n in n 1544871512.462 * [misc]backup-simplify: Simplify 0 into 0 1544871512.462 * [misc]backup-simplify: Simplify 1 into 1 1544871512.462 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.462 * [misc]backup-simplify: Simplify PI into PI 1544871512.462 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871512.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871512.463 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.463 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871512.464 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.464 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.464 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1544871512.465 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1544871512.465 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1544871512.466 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.466 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.466 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1544871512.467 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1544871512.468 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1544871512.468 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.469 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.469 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871512.469 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1544871512.469 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.469 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871512.470 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.471 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1544871512.472 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1544871512.472 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.474 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1544871512.476 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1544871512.477 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1544871512.477 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871512.477 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.477 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.478 * [misc]backup-simplify: Simplify 0 into 0 1544871512.480 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871512.480 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871512.480 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1544871512.481 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871512.481 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871512.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.484 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.485 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1544871512.486 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1544871512.488 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1544871512.489 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.490 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.491 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871512.493 * [misc]backup-simplify: Simplify (+ (- (* +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 (* 2 PI)))))))) 1544871512.496 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1544871512.499 * [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)))))))))) 1544871512.501 * [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))))))) 1544871512.504 * [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))))))) 1544871512.505 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871512.507 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544871512.508 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544871512.511 * [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)))) 1544871512.515 * [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)))) 1544871512.518 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544871512.519 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544871512.527 * [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))))))))))))) 1544871512.528 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt (/ 1 k))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1544871512.528 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1544871512.528 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1544871512.528 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871512.528 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.529 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.529 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.529 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of k in n 1544871512.529 * [misc]backup-simplify: Simplify k into k 1544871512.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.529 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.529 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.529 * [misc]backup-simplify: Simplify 2 into 2 1544871512.529 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.529 * [misc]backup-simplify: Simplify PI into PI 1544871512.529 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.530 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.530 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.530 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.531 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871512.531 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871512.531 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.531 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871512.531 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871512.531 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.532 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.532 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.532 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.532 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.532 * [misc]taylor: Taking taylor expansion of k in n 1544871512.532 * [misc]backup-simplify: Simplify k into k 1544871512.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.532 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.532 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871512.532 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871512.532 * [misc]taylor: Taking taylor expansion of n in n 1544871512.532 * [misc]backup-simplify: Simplify 0 into 0 1544871512.532 * [misc]backup-simplify: Simplify 1 into 1 1544871512.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.532 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.532 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.532 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.533 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871512.533 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871512.533 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544871512.533 * [misc]taylor: Taking taylor expansion of k in n 1544871512.533 * [misc]backup-simplify: Simplify k into k 1544871512.533 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544871512.533 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544871512.533 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1544871512.533 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871512.533 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.533 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871512.533 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871512.533 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.533 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.533 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.533 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.533 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.534 * [misc]taylor: Taking taylor expansion of k in k 1544871512.534 * [misc]backup-simplify: Simplify 0 into 0 1544871512.534 * [misc]backup-simplify: Simplify 1 into 1 1544871512.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.534 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.534 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.534 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.534 * [misc]backup-simplify: Simplify 2 into 2 1544871512.534 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.534 * [misc]backup-simplify: Simplify PI into PI 1544871512.534 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.535 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.535 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.535 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.536 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871512.536 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.537 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.537 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.537 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.537 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.537 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of k in k 1544871512.537 * [misc]backup-simplify: Simplify 0 into 0 1544871512.537 * [misc]backup-simplify: Simplify 1 into 1 1544871512.537 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.537 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.537 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.537 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871512.537 * [misc]taylor: Taking taylor expansion of n in k 1544871512.537 * [misc]backup-simplify: Simplify n into n 1544871512.537 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871512.537 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871512.538 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.538 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.538 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871512.538 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871512.538 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871512.538 * [misc]taylor: Taking taylor expansion of k in k 1544871512.538 * [misc]backup-simplify: Simplify 0 into 0 1544871512.538 * [misc]backup-simplify: Simplify 1 into 1 1544871512.538 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.539 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871512.539 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.539 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.539 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.539 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of k in k 1544871512.539 * [misc]backup-simplify: Simplify 0 into 0 1544871512.539 * [misc]backup-simplify: Simplify 1 into 1 1544871512.539 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.539 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.539 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.539 * [misc]backup-simplify: Simplify 2 into 2 1544871512.539 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.539 * [misc]backup-simplify: Simplify PI into PI 1544871512.540 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.540 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.540 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.541 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.541 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871512.542 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871512.542 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871512.542 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871512.542 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871512.542 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871512.542 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.542 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871512.542 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.542 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871512.542 * [misc]taylor: Taking taylor expansion of k in k 1544871512.542 * [misc]backup-simplify: Simplify 0 into 0 1544871512.542 * [misc]backup-simplify: Simplify 1 into 1 1544871512.542 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.542 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871512.543 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871512.543 * [misc]taylor: Taking taylor expansion of n in k 1544871512.543 * [misc]backup-simplify: Simplify n into n 1544871512.543 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871512.543 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871512.543 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871512.543 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871512.543 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871512.543 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871512.543 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871512.543 * [misc]taylor: Taking taylor expansion of k in k 1544871512.543 * [misc]backup-simplify: Simplify 0 into 0 1544871512.543 * [misc]backup-simplify: Simplify 1 into 1 1544871512.544 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.544 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871512.545 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871512.545 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1544871512.545 * [misc]taylor: Taking taylor expansion of 0 in n 1544871512.545 * [misc]backup-simplify: Simplify 0 into 0 1544871512.545 * [misc]backup-simplify: Simplify 0 into 0 1544871512.546 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1544871512.546 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1544871512.547 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.547 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.547 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.547 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.547 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.547 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of k in n 1544871512.547 * [misc]backup-simplify: Simplify k into k 1544871512.547 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.547 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.547 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.547 * [misc]backup-simplify: Simplify 2 into 2 1544871512.547 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.547 * [misc]backup-simplify: Simplify PI into PI 1544871512.548 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.548 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.548 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.548 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.549 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871512.550 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871512.550 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.550 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.550 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.550 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of k in n 1544871512.550 * [misc]backup-simplify: Simplify k into k 1544871512.550 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.550 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871512.550 * [misc]taylor: Taking taylor expansion of n in n 1544871512.550 * [misc]backup-simplify: Simplify 0 into 0 1544871512.550 * [misc]backup-simplify: Simplify 1 into 1 1544871512.550 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.550 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.551 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.551 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.551 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.551 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871512.551 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871512.552 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871512.552 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1544871512.553 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871512.554 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871512.554 * [misc]backup-simplify: Simplify 0 into 0 1544871512.555 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871512.556 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1544871512.556 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1544871512.556 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1544871512.556 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.557 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.557 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.557 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.557 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of k in n 1544871512.557 * [misc]backup-simplify: Simplify k into k 1544871512.557 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.557 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.557 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.557 * [misc]backup-simplify: Simplify 2 into 2 1544871512.557 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.557 * [misc]backup-simplify: Simplify PI into PI 1544871512.557 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.558 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.558 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.558 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.559 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871512.559 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871512.559 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.559 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871512.560 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871512.560 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.560 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.560 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.560 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.560 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.560 * [misc]taylor: Taking taylor expansion of k in n 1544871512.560 * [misc]backup-simplify: Simplify k into k 1544871512.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.560 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871512.560 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871512.560 * [misc]taylor: Taking taylor expansion of n in n 1544871512.560 * [misc]backup-simplify: Simplify 0 into 0 1544871512.560 * [misc]backup-simplify: Simplify 1 into 1 1544871512.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.560 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.560 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.560 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.561 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871512.561 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871512.562 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871512.562 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1544871512.563 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871512.564 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871512.564 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871512.566 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871512.567 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871512.567 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871512.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.569 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.569 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871512.570 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.574 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.575 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871512.575 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871512.575 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.576 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1544871512.578 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.579 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1544871512.579 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544871512.580 * [misc]backup-simplify: Simplify (- 0) into 0 1544871512.580 * [misc]backup-simplify: Simplify 0 into 0 1544871512.580 * [misc]backup-simplify: Simplify 0 into 0 1544871512.581 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871512.582 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1544871512.583 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1544871512.583 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1544871512.583 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871512.583 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.583 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.584 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.584 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.584 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.584 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of k in n 1544871512.584 * [misc]backup-simplify: Simplify k into k 1544871512.584 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.584 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.584 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.584 * [misc]backup-simplify: Simplify 2 into 2 1544871512.584 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.584 * [misc]backup-simplify: Simplify PI into PI 1544871512.585 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.585 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.585 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.585 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.586 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871512.586 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871512.586 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871512.586 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871512.586 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871512.586 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871512.586 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871512.586 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871512.586 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.586 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871512.586 * [misc]taylor: Taking taylor expansion of k in n 1544871512.586 * [misc]backup-simplify: Simplify k into k 1544871512.586 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871512.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.586 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871512.586 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871512.587 * [misc]taylor: Taking taylor expansion of n in n 1544871512.587 * [misc]backup-simplify: Simplify 0 into 0 1544871512.587 * [misc]backup-simplify: Simplify 1 into 1 1544871512.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871512.587 * [misc]backup-simplify: Simplify (log 1) into 0 1544871512.587 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871512.587 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871512.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871512.587 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871512.587 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871512.588 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871512.588 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1544871512.589 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871512.589 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871512.593 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1544871512.594 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1544871512.594 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1544871512.594 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.594 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.594 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.594 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.594 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.594 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.595 * [misc]backup-simplify: Simplify -1 into -1 1544871512.595 * [misc]taylor: Taking taylor expansion of k in n 1544871512.595 * [misc]backup-simplify: Simplify k into k 1544871512.595 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.595 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.595 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.595 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.595 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.595 * [misc]backup-simplify: Simplify -1 into -1 1544871512.595 * [misc]taylor: Taking taylor expansion of n in n 1544871512.595 * [misc]backup-simplify: Simplify 0 into 0 1544871512.595 * [misc]backup-simplify: Simplify 1 into 1 1544871512.595 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.595 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.595 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.596 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.596 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.597 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.597 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.597 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.597 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.597 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.597 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.597 * [misc]backup-simplify: Simplify -1 into -1 1544871512.597 * [misc]taylor: Taking taylor expansion of k in n 1544871512.597 * [misc]backup-simplify: Simplify k into k 1544871512.597 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.597 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.597 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.597 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.597 * [misc]backup-simplify: Simplify 2 into 2 1544871512.597 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.597 * [misc]backup-simplify: Simplify PI into PI 1544871512.598 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.598 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.598 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.598 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.599 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871512.600 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871512.600 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544871512.600 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.600 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.600 * [misc]backup-simplify: Simplify -1 into -1 1544871512.600 * [misc]taylor: Taking taylor expansion of k in n 1544871512.600 * [misc]backup-simplify: Simplify k into k 1544871512.600 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.600 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544871512.600 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871512.600 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544871512.601 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871512.602 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1544871512.602 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.602 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.602 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.602 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.602 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.602 * [misc]backup-simplify: Simplify -1 into -1 1544871512.602 * [misc]taylor: Taking taylor expansion of k in k 1544871512.602 * [misc]backup-simplify: Simplify 0 into 0 1544871512.602 * [misc]backup-simplify: Simplify 1 into 1 1544871512.602 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.602 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871512.602 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.602 * [misc]backup-simplify: Simplify -1 into -1 1544871512.602 * [misc]taylor: Taking taylor expansion of n in k 1544871512.602 * [misc]backup-simplify: Simplify n into n 1544871512.603 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871512.603 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871512.603 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.603 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.603 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871512.603 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871512.603 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.603 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871512.603 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871512.603 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.603 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.603 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.603 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.603 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.603 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.603 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.603 * [misc]backup-simplify: Simplify -1 into -1 1544871512.604 * [misc]taylor: Taking taylor expansion of k in k 1544871512.604 * [misc]backup-simplify: Simplify 0 into 0 1544871512.604 * [misc]backup-simplify: Simplify 1 into 1 1544871512.604 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.604 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.604 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.604 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.604 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.604 * [misc]backup-simplify: Simplify 2 into 2 1544871512.604 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.604 * [misc]backup-simplify: Simplify PI into PI 1544871512.604 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.605 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.605 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.605 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.606 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.606 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.607 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871512.607 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.607 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.607 * [misc]backup-simplify: Simplify -1 into -1 1544871512.607 * [misc]taylor: Taking taylor expansion of k in k 1544871512.607 * [misc]backup-simplify: Simplify 0 into 0 1544871512.607 * [misc]backup-simplify: Simplify 1 into 1 1544871512.607 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.607 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.607 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871512.608 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1544871512.608 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1544871512.609 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.609 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.609 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.609 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.609 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.609 * [misc]backup-simplify: Simplify -1 into -1 1544871512.609 * [misc]taylor: Taking taylor expansion of k in k 1544871512.609 * [misc]backup-simplify: Simplify 0 into 0 1544871512.609 * [misc]backup-simplify: Simplify 1 into 1 1544871512.609 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.609 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.609 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871512.609 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.609 * [misc]backup-simplify: Simplify -1 into -1 1544871512.609 * [misc]taylor: Taking taylor expansion of n in k 1544871512.609 * [misc]backup-simplify: Simplify n into n 1544871512.609 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871512.609 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871512.610 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.610 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.610 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871512.610 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871512.610 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871512.610 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871512.610 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871512.610 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871512.610 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.610 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871512.610 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871512.610 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.610 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.610 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.610 * [misc]backup-simplify: Simplify -1 into -1 1544871512.610 * [misc]taylor: Taking taylor expansion of k in k 1544871512.610 * [misc]backup-simplify: Simplify 0 into 0 1544871512.610 * [misc]backup-simplify: Simplify 1 into 1 1544871512.611 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.611 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871512.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.611 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871512.611 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871512.611 * [misc]taylor: Taking taylor expansion of 2 in k 1544871512.611 * [misc]backup-simplify: Simplify 2 into 2 1544871512.611 * [misc]taylor: Taking taylor expansion of PI in k 1544871512.611 * [misc]backup-simplify: Simplify PI into PI 1544871512.611 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.612 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.612 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871512.612 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871512.613 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871512.613 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871512.613 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871512.613 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871512.613 * [misc]taylor: Taking taylor expansion of -1 in k 1544871512.613 * [misc]backup-simplify: Simplify -1 into -1 1544871512.613 * [misc]taylor: Taking taylor expansion of k in k 1544871512.614 * [misc]backup-simplify: Simplify 0 into 0 1544871512.614 * [misc]backup-simplify: Simplify 1 into 1 1544871512.614 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.614 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871512.614 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871512.615 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1544871512.615 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1544871512.615 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871512.615 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.615 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.615 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.616 * [misc]backup-simplify: Simplify -1 into -1 1544871512.616 * [misc]taylor: Taking taylor expansion of n in n 1544871512.616 * [misc]backup-simplify: Simplify 0 into 0 1544871512.616 * [misc]backup-simplify: Simplify 1 into 1 1544871512.616 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.616 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.616 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.616 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.616 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.616 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.616 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.616 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.616 * [misc]backup-simplify: Simplify -1 into -1 1544871512.616 * [misc]taylor: Taking taylor expansion of k in n 1544871512.616 * [misc]backup-simplify: Simplify k into k 1544871512.616 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.616 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.617 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.617 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.617 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.617 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.617 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.618 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.618 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.618 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.618 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.618 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.618 * [misc]backup-simplify: Simplify -1 into -1 1544871512.618 * [misc]taylor: Taking taylor expansion of k in n 1544871512.618 * [misc]backup-simplify: Simplify k into k 1544871512.618 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.618 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.618 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.618 * [misc]backup-simplify: Simplify 2 into 2 1544871512.618 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.618 * [misc]backup-simplify: Simplify PI into PI 1544871512.618 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.619 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.619 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.619 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.620 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871512.620 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871512.621 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871512.622 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871512.623 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871512.623 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1544871512.623 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871512.624 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871512.625 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1544871512.625 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1544871512.625 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871512.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.625 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.626 * [misc]backup-simplify: Simplify -1 into -1 1544871512.626 * [misc]taylor: Taking taylor expansion of n in n 1544871512.626 * [misc]backup-simplify: Simplify 0 into 0 1544871512.626 * [misc]backup-simplify: Simplify 1 into 1 1544871512.626 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.626 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.626 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.626 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.626 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.626 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.626 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.626 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.626 * [misc]backup-simplify: Simplify -1 into -1 1544871512.626 * [misc]taylor: Taking taylor expansion of k in n 1544871512.626 * [misc]backup-simplify: Simplify k into k 1544871512.626 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.627 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.627 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.627 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.627 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.628 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.628 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.628 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.628 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.628 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.628 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.628 * [misc]backup-simplify: Simplify -1 into -1 1544871512.628 * [misc]taylor: Taking taylor expansion of k in n 1544871512.628 * [misc]backup-simplify: Simplify k into k 1544871512.628 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.628 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.628 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.628 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.628 * [misc]backup-simplify: Simplify 2 into 2 1544871512.628 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.628 * [misc]backup-simplify: Simplify PI into PI 1544871512.628 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.629 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.629 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.629 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.630 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871512.630 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871512.631 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871512.632 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871512.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871512.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871512.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871512.637 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871512.637 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871512.638 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871512.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.639 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1544871512.641 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.642 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871512.642 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871512.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871512.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871512.645 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871512.645 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871512.646 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871512.647 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871512.648 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1544871512.648 * [misc]backup-simplify: Simplify 0 into 0 1544871512.649 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1544871512.649 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871512.650 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871512.652 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1544871512.652 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871512.652 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871512.652 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871512.652 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.652 * [misc]backup-simplify: Simplify -1 into -1 1544871512.652 * [misc]taylor: Taking taylor expansion of n in n 1544871512.652 * [misc]backup-simplify: Simplify 0 into 0 1544871512.652 * [misc]backup-simplify: Simplify 1 into 1 1544871512.652 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871512.653 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871512.653 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.653 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.653 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.653 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.653 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.653 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.653 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.653 * [misc]backup-simplify: Simplify -1 into -1 1544871512.653 * [misc]taylor: Taking taylor expansion of k in n 1544871512.653 * [misc]backup-simplify: Simplify k into k 1544871512.653 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.653 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871512.653 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.653 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.654 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871512.654 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871512.654 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871512.654 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871512.654 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871512.654 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871512.654 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871512.654 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871512.654 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871512.654 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871512.654 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871512.654 * [misc]taylor: Taking taylor expansion of -1 in n 1544871512.654 * [misc]backup-simplify: Simplify -1 into -1 1544871512.654 * [misc]taylor: Taking taylor expansion of k in n 1544871512.654 * [misc]backup-simplify: Simplify k into k 1544871512.654 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871512.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871512.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871512.655 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871512.655 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871512.655 * [misc]taylor: Taking taylor expansion of 2 in n 1544871512.655 * [misc]backup-simplify: Simplify 2 into 2 1544871512.655 * [misc]taylor: Taking taylor expansion of PI in n 1544871512.655 * [misc]backup-simplify: Simplify PI into PI 1544871512.655 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871512.655 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871512.656 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871512.656 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871512.656 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871512.657 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871512.658 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871512.658 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871512.659 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871512.660 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871512.663 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1544871512.663 * * * [misc]progress: simplifying candidates 1544871512.663 * * * * [misc]progress: [ 1 / 98 ] simplifiying candidate # 1544871512.663 * * * * [misc]progress: [ 2 / 98 ] simplifiying candidate # 1544871512.663 * * * * [misc]progress: [ 3 / 98 ] simplifiying candidate # 1544871512.664 * * * * [misc]progress: [ 4 / 98 ] simplifiying candidate # 1544871512.664 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1544871512.664 * * [misc]simplify: iters left: 2 (5 enodes) 1544871512.666 * * [misc]simplify: iters left: 1 (7 enodes) 1544871512.669 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1544871512.669 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2)))) (sqrt k))) 1544871512.669 * * * * [misc]progress: [ 5 / 98 ] simplifiying candidate # 1544871512.669 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1544871512.669 * * [misc]simplify: iters left: 2 (5 enodes) 1544871512.671 * * [misc]simplify: iters left: 1 (7 enodes) 1544871512.673 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1544871512.673 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2)))) (sqrt k))) 1544871512.674 * * * * [misc]progress: [ 6 / 98 ] simplifiying candidate # 1544871512.674 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871512.674 * * [misc]simplify: iters left: 1 (4 enodes) 1544871512.675 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871512.676 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (pow n 1) (fma -1/2 k 1/2))) (sqrt k))) 1544871512.676 * * * * [misc]progress: [ 7 / 98 ] simplifiying candidate # 1544871512.676 * [enter]simplify: Simplifying (pow n 1/2) 1544871512.676 * * [misc]simplify: iters left: 1 (3 enodes) 1544871512.677 * [exit]simplify: Simplified to (sqrt n) 1544871512.677 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (sqrt n))) (sqrt k))) 1544871512.677 * * * * [misc]progress: [ 8 / 98 ] simplifiying candidate # 1544871512.677 * * * * [misc]progress: [ 9 / 98 ] simplifiying candidate # 1544871512.677 * * * * [misc]progress: [ 10 / 98 ] simplifiying candidate # 1544871512.677 * * * * [misc]progress: [ 11 / 98 ] simplifiying candidate # 1544871512.677 * * * * [misc]progress: [ 12 / 98 ] simplifiying candidate # 1544871512.678 * * * * [misc]progress: [ 13 / 98 ] simplifiying candidate # 1544871512.678 * * * * [misc]progress: [ 14 / 98 ] simplifiying candidate # 1544871512.678 * * * * [misc]progress: [ 15 / 98 ] simplifiying candidate # 1544871512.678 * * * * [misc]progress: [ 16 / 98 ] simplifiying candidate # 1544871512.678 * * * * [misc]progress: [ 17 / 98 ] simplifiying candidate # 1544871512.678 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1544871512.679 * * [misc]simplify: iters left: 5 (9 enodes) 1544871512.683 * * [misc]simplify: iters left: 4 (16 enodes) 1544871512.689 * * [misc]simplify: iters left: 3 (31 enodes) 1544871512.702 * * [misc]simplify: iters left: 2 (72 enodes) 1544871512.744 * * [misc]simplify: iters left: 1 (184 enodes) 1544871512.877 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1544871512.877 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (log (* 2 PI)) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.877 * * * * [misc]progress: [ 18 / 98 ] simplifiying candidate # 1544871512.877 * * * * [misc]progress: [ 19 / 98 ] simplifiying candidate # 1544871512.877 * [enter]simplify: Simplifying (* 2 PI) 1544871512.878 * * [misc]simplify: iters left: 2 (3 enodes) 1544871512.878 * * [misc]simplify: iters left: 1 (4 enodes) 1544871512.879 * [exit]simplify: Simplified to (* 2 PI) 1544871512.879 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* 1 (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.879 * * * * [misc]progress: [ 20 / 98 ] simplifiying candidate # 1544871512.879 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1544871512.879 * * [misc]simplify: iters left: 2 (5 enodes) 1544871512.880 * * [misc]simplify: iters left: 1 (7 enodes) 1544871512.882 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1544871512.882 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.882 * * * * [misc]progress: [ 21 / 98 ] simplifiying candidate # 1544871512.882 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1544871512.882 * * [misc]simplify: iters left: 2 (5 enodes) 1544871512.883 * * [misc]simplify: iters left: 1 (7 enodes) 1544871512.884 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1544871512.884 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.884 * * * * [misc]progress: [ 22 / 98 ] simplifiying candidate # 1544871512.885 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871512.885 * * [misc]simplify: iters left: 1 (4 enodes) 1544871512.885 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871512.886 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.886 * * * * [misc]progress: [ 23 / 98 ] simplifiying candidate # 1544871512.886 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1544871512.886 * * [misc]simplify: iters left: 3 (5 enodes) 1544871512.887 * * [misc]simplify: iters left: 2 (7 enodes) 1544871512.888 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1544871512.888 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.888 * * * * [misc]progress: [ 24 / 98 ] simplifiying candidate # 1544871512.888 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1544871512.888 * * [misc]simplify: iters left: 2 (6 enodes) 1544871512.890 * * [misc]simplify: iters left: 1 (8 enodes) 1544871512.891 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1544871512.891 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871512.891 * * * * [misc]progress: [ 25 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 26 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 27 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 28 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 29 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 30 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 31 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 32 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 33 / 98 ] simplifiying candidate # 1544871512.891 * * * * [misc]progress: [ 34 / 98 ] simplifiying candidate # 1544871512.892 * [enter]simplify: Simplifying (* (* 2 PI) n) 1544871512.892 * * [misc]simplify: iters left: 4 (5 enodes) 1544871512.893 * * [misc]simplify: iters left: 3 (9 enodes) 1544871512.895 * * [misc]simplify: iters left: 2 (15 enodes) 1544871512.898 * * [misc]simplify: iters left: 1 (17 enodes) 1544871512.900 * [exit]simplify: Simplified to (* (* 2 PI) n) 1544871512.900 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1544871512.901 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871512.901 * * [misc]simplify: iters left: 1 (4 enodes) 1544871512.904 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871512.904 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* (* 2 PI) n) (fma -1/2 k 1/2)) (sqrt k))) 1544871512.904 * * * * [misc]progress: [ 35 / 98 ] simplifiying candidate # 1544871512.904 * * * * [misc]progress: [ 36 / 98 ] simplifiying candidate # 1544871512.904 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1544871512.905 * * [misc]simplify: iters left: 6 (13 enodes) 1544871512.909 * * [misc]simplify: iters left: 5 (25 enodes) 1544871512.920 * * [misc]simplify: iters left: 4 (54 enodes) 1544871512.957 * * [misc]simplify: iters left: 3 (149 enodes) 1544871513.047 * * [misc]simplify: iters left: 2 (457 enodes) 1544871513.601 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1544871513.602 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1544871513.603 * * * * [misc]progress: [ 37 / 98 ] simplifiying candidate # 1544871513.603 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1544871513.604 * * [misc]simplify: iters left: 6 (13 enodes) 1544871513.612 * * [misc]simplify: iters left: 5 (24 enodes) 1544871513.624 * * [misc]simplify: iters left: 4 (46 enodes) 1544871513.654 * * [misc]simplify: iters left: 3 (121 enodes) 1544871513.758 * * [misc]simplify: iters left: 2 (419 enodes) 1544871514.272 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1544871514.272 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1544871514.272 * * * * [misc]progress: [ 38 / 98 ] simplifiying candidate # 1544871514.272 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1544871514.273 * * [misc]simplify: iters left: 6 (13 enodes) 1544871514.281 * * [misc]simplify: iters left: 5 (25 enodes) 1544871514.298 * * [misc]simplify: iters left: 4 (54 enodes) 1544871514.334 * * [misc]simplify: iters left: 3 (149 enodes) 1544871514.458 * * [misc]simplify: iters left: 2 (457 enodes) 1544871514.919 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1544871514.919 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1544871514.919 * * * * [misc]progress: [ 39 / 98 ] simplifiying candidate # 1544871514.919 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1544871514.920 * * [misc]simplify: iters left: 6 (13 enodes) 1544871514.923 * * [misc]simplify: iters left: 5 (24 enodes) 1544871514.929 * * [misc]simplify: iters left: 4 (46 enodes) 1544871514.948 * * [misc]simplify: iters left: 3 (121 enodes) 1544871515.029 * * [misc]simplify: iters left: 2 (419 enodes) 1544871515.456 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1544871515.456 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1544871515.456 * * * * [misc]progress: [ 40 / 98 ] simplifiying candidate # 1544871515.456 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1544871515.457 * * [misc]simplify: iters left: 6 (13 enodes) 1544871515.460 * * [misc]simplify: iters left: 5 (20 enodes) 1544871515.468 * * [misc]simplify: iters left: 4 (40 enodes) 1544871515.480 * * [misc]simplify: iters left: 3 (87 enodes) 1544871515.521 * * [misc]simplify: iters left: 2 (260 enodes) 1544871515.834 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) 1544871515.834 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1544871515.834 * * * * [misc]progress: [ 41 / 98 ] simplifiying candidate # 1544871515.834 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1544871515.835 * * [misc]simplify: iters left: 6 (13 enodes) 1544871515.838 * * [misc]simplify: iters left: 5 (21 enodes) 1544871515.844 * * [misc]simplify: iters left: 4 (35 enodes) 1544871515.853 * * [misc]simplify: iters left: 3 (71 enodes) 1544871515.899 * * [misc]simplify: iters left: 2 (195 enodes) 1544871516.083 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n))) 1544871516.083 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1544871516.083 * * * * [misc]progress: [ 42 / 98 ] simplifiying candidate # 1544871516.083 * * * * [misc]progress: [ 43 / 98 ] simplifiying candidate # 1544871516.083 * * * * [misc]progress: [ 44 / 98 ] simplifiying candidate # 1544871516.083 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1544871516.084 * * [misc]simplify: iters left: 6 (15 enodes) 1544871516.088 * * [misc]simplify: iters left: 5 (25 enodes) 1544871516.095 * * [misc]simplify: iters left: 4 (52 enodes) 1544871516.109 * * [misc]simplify: iters left: 3 (89 enodes) 1544871516.127 * * [misc]simplify: iters left: 2 (115 enodes) 1544871516.147 * * [misc]simplify: iters left: 1 (117 enodes) 1544871516.174 * [exit]simplify: Simplified to (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3) 1544871516.175 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) 3)) (sqrt k))) 1544871516.175 * * * * [misc]progress: [ 45 / 98 ] simplifiying candidate # 1544871516.175 * * * * [misc]progress: [ 46 / 98 ] simplifiying candidate # 1544871516.175 * * * * [misc]progress: [ 47 / 98 ] simplifiying candidate # 1544871516.175 * * * * [misc]progress: [ 48 / 98 ] simplifiying candidate # 1544871516.175 * * * * [misc]progress: [ 49 / 98 ] simplifiying candidate # 1544871516.175 * [enter]simplify: Simplifying (pow n 1/2) 1544871516.176 * * [misc]simplify: iters left: 1 (3 enodes) 1544871516.177 * [exit]simplify: Simplified to (sqrt n) 1544871516.177 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (* -1/2 k))) (sqrt n)) (sqrt k))) 1544871516.177 * * * * [misc]progress: [ 50 / 98 ] simplifiying candidate # 1544871516.177 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1544871516.178 * * [misc]simplify: iters left: 3 (7 enodes) 1544871516.180 * * [misc]simplify: iters left: 2 (9 enodes) 1544871516.183 * * [misc]simplify: iters left: 1 (11 enodes) 1544871516.190 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1544871516.190 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1544871516.190 * * * * [misc]progress: [ 51 / 98 ] simplifiying candidate # 1544871516.190 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1544871516.191 * * [misc]simplify: iters left: 3 (7 enodes) 1544871516.193 * * [misc]simplify: iters left: 2 (9 enodes) 1544871516.196 * * [misc]simplify: iters left: 1 (11 enodes) 1544871516.199 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1544871516.199 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2)))) (sqrt k))) 1544871516.199 * * * * [misc]progress: [ 52 / 98 ] simplifiying candidate # 1544871516.199 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1544871516.200 * * [misc]simplify: iters left: 2 (6 enodes) 1544871516.202 * * [misc]simplify: iters left: 1 (8 enodes) 1544871516.204 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1544871516.204 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) 1) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871516.204 * * * * [misc]progress: [ 53 / 98 ] simplifiying candidate # 1544871516.205 * [enter]simplify: Simplifying (pow (* 2 PI) (* -1/2 k)) 1544871516.205 * * [misc]simplify: iters left: 3 (7 enodes) 1544871516.207 * * [misc]simplify: iters left: 2 (9 enodes) 1544871516.210 * [exit]simplify: Simplified to (pow (* 2 PI) (* -1/2 k)) 1544871516.210 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (* -1/2 k)) (* (pow (* 2 PI) 1/2) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871516.210 * * * * [misc]progress: [ 54 / 98 ] simplifiying candidate # 1544871516.211 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1544871516.211 * * [misc]simplify: iters left: 2 (6 enodes) 1544871516.213 * * [misc]simplify: iters left: 1 (8 enodes) 1544871516.216 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1544871516.216 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871516.216 * * * * [misc]progress: [ 55 / 98 ] simplifiying candidate # 1544871516.216 * [enter]simplify: Simplifying (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1544871516.217 * * [misc]simplify: iters left: 6 (10 enodes) 1544871516.220 * * [misc]simplify: iters left: 5 (13 enodes) 1544871516.225 * * [misc]simplify: iters left: 4 (15 enodes) 1544871516.229 * * [misc]simplify: iters left: 3 (16 enodes) 1544871516.235 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1544871516.235 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871516.235 * * * * [misc]progress: [ 56 / 98 ] simplifiying candidate # 1544871516.235 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1544871516.236 * * [misc]simplify: iters left: 4 (9 enodes) 1544871516.240 * * [misc]simplify: iters left: 3 (12 enodes) 1544871516.245 * * [misc]simplify: iters left: 2 (14 enodes) 1544871516.249 * * [misc]simplify: iters left: 1 (15 enodes) 1544871516.254 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1544871516.254 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871516.254 * * * * [misc]progress: [ 57 / 98 ] simplifiying candidate # 1544871516.254 * * * * [misc]progress: [ 58 / 98 ] simplifiying candidate # 1544871516.254 * * * * [misc]progress: [ 59 / 98 ] simplifiying candidate # 1544871516.254 * * * * [misc]progress: [ 60 / 98 ] simplifiying candidate # 1544871516.255 * * * * [misc]progress: [ 61 / 98 ] simplifiying candidate # 1544871516.255 * * * * [misc]progress: [ 62 / 98 ] simplifiying candidate # 1544871516.255 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1544871516.256 * * [misc]simplify: iters left: 6 (16 enodes) 1544871516.266 * * [misc]simplify: iters left: 5 (32 enodes) 1544871516.284 * * [misc]simplify: iters left: 4 (74 enodes) 1544871516.326 * * [misc]simplify: iters left: 3 (227 enodes) 1544871516.620 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1544871516.620 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1544871516.620 * * * * [misc]progress: [ 63 / 98 ] simplifiying candidate # 1544871516.620 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1544871516.622 * * [misc]simplify: iters left: 6 (16 enodes) 1544871516.630 * * [misc]simplify: iters left: 5 (31 enodes) 1544871516.639 * * [misc]simplify: iters left: 4 (64 enodes) 1544871516.666 * * [misc]simplify: iters left: 3 (187 enodes) 1544871516.890 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871516.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1544871516.890 * * * * [misc]progress: [ 64 / 98 ] simplifiying candidate # 1544871516.890 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1544871516.891 * * [misc]simplify: iters left: 6 (16 enodes) 1544871516.896 * * [misc]simplify: iters left: 5 (32 enodes) 1544871516.912 * * [misc]simplify: iters left: 4 (74 enodes) 1544871516.955 * * [misc]simplify: iters left: 3 (227 enodes) 1544871517.531 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1544871517.531 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1544871517.531 * * * * [misc]progress: [ 65 / 98 ] simplifiying candidate # 1544871517.532 * [enter]simplify: Simplifying (- (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1544871517.533 * * [misc]simplify: iters left: 6 (16 enodes) 1544871517.537 * * [misc]simplify: iters left: 5 (31 enodes) 1544871517.547 * * [misc]simplify: iters left: 4 (64 enodes) 1544871517.577 * * [misc]simplify: iters left: 3 (187 enodes) 1544871517.826 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871517.826 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1544871517.826 * * * * [misc]progress: [ 66 / 98 ] simplifiying candidate # 1544871517.827 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1544871517.828 * * [misc]simplify: iters left: 6 (16 enodes) 1544871517.831 * * [misc]simplify: iters left: 5 (27 enodes) 1544871517.841 * * [misc]simplify: iters left: 4 (58 enodes) 1544871517.873 * * [misc]simplify: iters left: 3 (133 enodes) 1544871517.995 * * [misc]simplify: iters left: 2 (461 enodes) 1544871518.681 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871518.681 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1544871518.681 * * * * [misc]progress: [ 67 / 98 ] simplifiying candidate # 1544871518.681 * [enter]simplify: Simplifying (- (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1544871518.682 * * [misc]simplify: iters left: 6 (16 enodes) 1544871518.686 * * [misc]simplify: iters left: 5 (28 enodes) 1544871518.694 * * [misc]simplify: iters left: 4 (52 enodes) 1544871518.709 * * [misc]simplify: iters left: 3 (105 enodes) 1544871518.782 * * [misc]simplify: iters left: 2 (371 enodes) 1544871519.323 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1544871519.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1544871519.323 * * * * [misc]progress: [ 68 / 98 ] simplifiying candidate # 1544871519.323 * [enter]simplify: Simplifying (- (log (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (log (sqrt k))) 1544871519.325 * * [misc]simplify: iters left: 6 (15 enodes) 1544871519.328 * * [misc]simplify: iters left: 5 (24 enodes) 1544871519.333 * * [misc]simplify: iters left: 4 (36 enodes) 1544871519.341 * * [misc]simplify: iters left: 3 (60 enodes) 1544871519.357 * * [misc]simplify: iters left: 2 (109 enodes) 1544871519.417 * * [misc]simplify: iters left: 1 (384 enodes) 1544871520.045 * [exit]simplify: Simplified to (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1544871520.046 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log n) (log (* 2 PI))) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1544871520.046 * * * * [misc]progress: [ 69 / 98 ] simplifiying candidate # 1544871520.046 * * * * [misc]progress: [ 70 / 98 ] simplifiying candidate # 1544871520.046 * * * * [misc]progress: [ 71 / 98 ] simplifiying candidate # 1544871520.046 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544871520.047 * * [misc]simplify: iters left: 6 (19 enodes) 1544871520.053 * * [misc]simplify: iters left: 5 (37 enodes) 1544871520.071 * * [misc]simplify: iters left: 4 (122 enodes) 1544871520.171 * * [misc]simplify: iters left: 3 (419 enodes) 1544871520.776 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1544871520.776 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ k (pow n (fma -1/2 k 1/2)))) (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))))) 1544871520.776 * * * * [misc]progress: [ 72 / 98 ] simplifiying candidate # 1544871520.777 * [enter]simplify: Simplifying (/ (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544871520.778 * * [misc]simplify: iters left: 6 (17 enodes) 1544871520.785 * * [misc]simplify: iters left: 5 (36 enodes) 1544871520.807 * * [misc]simplify: iters left: 4 (103 enodes) 1544871520.858 * * [misc]simplify: iters left: 3 (352 enodes) 1544871521.569 * [exit]simplify: Simplified to (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1544871521.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* k (sqrt k))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1544871521.569 * * * * [misc]progress: [ 73 / 98 ] simplifiying candidate # 1544871521.569 * * * * [misc]progress: [ 74 / 98 ] simplifiying candidate # 1544871521.569 * * * * [misc]progress: [ 75 / 98 ] simplifiying candidate # 1544871521.570 * * * * [misc]progress: [ 76 / 98 ] simplifiying candidate # 1544871521.570 * * * * [misc]progress: [ 77 / 98 ] simplifiying candidate # 1544871521.570 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871521.571 * * [misc]simplify: iters left: 6 (12 enodes) 1544871521.576 * * [misc]simplify: iters left: 5 (17 enodes) 1544871521.583 * * [misc]simplify: iters left: 4 (19 enodes) 1544871521.589 * * [misc]simplify: iters left: 3 (20 enodes) 1544871521.596 * [exit]simplify: Simplified to (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544871521.596 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))))) 1544871521.597 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1544871521.598 * * [misc]simplify: iters left: 4 (9 enodes) 1544871521.600 * * [misc]simplify: iters left: 3 (11 enodes) 1544871521.603 * * [misc]simplify: iters left: 2 (13 enodes) 1544871521.605 * * [misc]simplify: iters left: 1 (14 enodes) 1544871521.607 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1544871521.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1544871521.607 * * * * [misc]progress: [ 78 / 98 ] simplifiying candidate # 1544871521.607 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1544871521.608 * * [misc]simplify: iters left: 5 (11 enodes) 1544871521.610 * * [misc]simplify: iters left: 4 (14 enodes) 1544871521.612 * * [misc]simplify: iters left: 3 (16 enodes) 1544871521.615 * * [misc]simplify: iters left: 2 (17 enodes) 1544871521.618 * [exit]simplify: Simplified to (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1544871521.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))))) 1544871521.618 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1544871521.618 * * [misc]simplify: iters left: 4 (9 enodes) 1544871521.620 * * [misc]simplify: iters left: 3 (11 enodes) 1544871521.622 * * [misc]simplify: iters left: 2 (13 enodes) 1544871521.624 * * [misc]simplify: iters left: 1 (14 enodes) 1544871521.626 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1544871521.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1544871521.626 * * * * [misc]progress: [ 79 / 98 ] simplifiying candidate # 1544871521.626 * [enter]simplify: Simplifying (/ (pow (* 2 PI) (fma -1/2 k 1/2)) 1) 1544871521.627 * * [misc]simplify: iters left: 5 (10 enodes) 1544871521.629 * * [misc]simplify: iters left: 4 (15 enodes) 1544871521.632 * * [misc]simplify: iters left: 3 (19 enodes) 1544871521.635 * * [misc]simplify: iters left: 2 (20 enodes) 1544871521.637 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871521.637 * [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)))) 1544871521.637 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1544871521.638 * * [misc]simplify: iters left: 4 (8 enodes) 1544871521.639 * * [misc]simplify: iters left: 3 (10 enodes) 1544871521.641 * * [misc]simplify: iters left: 2 (12 enodes) 1544871521.643 * * [misc]simplify: iters left: 1 (13 enodes) 1544871521.646 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1544871521.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1544871521.647 * * * * [misc]progress: [ 80 / 98 ] simplifiying candidate # 1544871521.647 * * * * [misc]progress: [ 81 / 98 ] simplifiying candidate # 1544871521.647 * * * * [misc]progress: [ 82 / 98 ] simplifiying candidate # 1544871521.647 * * * * [misc]progress: [ 83 / 98 ] simplifiying candidate # 1544871521.647 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544871521.647 * * [misc]simplify: iters left: 2 (3 enodes) 1544871521.649 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544871521.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1544871521.649 * * * * [misc]progress: [ 84 / 98 ] simplifiying candidate # 1544871521.649 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544871521.649 * * [misc]simplify: iters left: 2 (3 enodes) 1544871521.651 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544871521.651 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544871521.651 * * * * [misc]progress: [ 85 / 98 ] simplifiying candidate # 1544871521.651 * [enter]simplify: Simplifying (sqrt k) 1544871521.651 * * [misc]simplify: iters left: 1 (2 enodes) 1544871521.652 * [exit]simplify: Simplified to (sqrt k) 1544871521.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1) (sqrt k))) 1544871521.652 * * * * [misc]progress: [ 86 / 98 ] simplifiying candidate # 1544871521.652 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871521.653 * * [misc]simplify: iters left: 3 (8 enodes) 1544871521.657 * * [misc]simplify: iters left: 2 (11 enodes) 1544871521.661 * * [misc]simplify: iters left: 1 (13 enodes) 1544871521.666 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871521.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt k) (pow n (fma -1/2 k 1/2))))) 1544871521.666 * * * * [misc]progress: [ 87 / 98 ] simplifiying candidate # 1544871521.667 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1544871521.669 * * [misc]simplify: iters left: 6 (18 enodes) 1544871521.679 * * [misc]simplify: iters left: 5 (39 enodes) 1544871521.709 * * [misc]simplify: iters left: 4 (119 enodes) 1544871521.781 * * [misc]simplify: iters left: 3 (334 enodes) 1544871522.022 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1544871522.022 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n)))) (sqrt k))) 1544871522.022 * * * * [misc]progress: [ 88 / 98 ] simplifiying candidate # 1544871522.022 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1544871522.023 * * [misc]simplify: iters left: 6 (12 enodes) 1544871522.029 * * [misc]simplify: iters left: 5 (28 enodes) 1544871522.049 * * [misc]simplify: iters left: 4 (67 enodes) 1544871522.094 * * [misc]simplify: iters left: 3 (180 enodes) 1544871522.326 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1544871522.326 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871522.326 * * * * [misc]progress: [ 89 / 98 ] simplifiying candidate # 1544871522.327 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1544871522.328 * * [misc]simplify: iters left: 6 (12 enodes) 1544871522.336 * * [misc]simplify: iters left: 5 (22 enodes) 1544871522.347 * * [misc]simplify: iters left: 4 (52 enodes) 1544871522.367 * * [misc]simplify: iters left: 3 (149 enodes) 1544871522.467 * * [misc]simplify: iters left: 2 (453 enodes) 1544871523.365 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1544871523.365 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma k -1/2 1/2))) (sqrt k))) 1544871523.365 * * * * [misc]progress: [ 90 / 98 ] simplifiying candidate # 1544871523.365 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1544871523.368 * * [misc]simplify: iters left: 6 (22 enodes) 1544871523.382 * * [misc]simplify: iters left: 5 (55 enodes) 1544871523.421 * * [misc]simplify: iters left: 4 (175 enodes) 1544871523.633 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1544871523.633 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871523.633 * * * * [misc]progress: [ 91 / 98 ] simplifiying candidate # 1544871523.633 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871523.634 * * [misc]simplify: iters left: 3 (8 enodes) 1544871523.637 * * [misc]simplify: iters left: 2 (11 enodes) 1544871523.641 * * [misc]simplify: iters left: 1 (13 enodes) 1544871523.646 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871523.646 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871523.646 * * * * [misc]progress: [ 92 / 98 ] simplifiying candidate # 1544871523.646 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871523.646 * * [misc]simplify: iters left: 3 (8 enodes) 1544871523.649 * * [misc]simplify: iters left: 2 (11 enodes) 1544871523.653 * * [misc]simplify: iters left: 1 (13 enodes) 1544871523.660 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871523.660 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871523.660 * * * * [misc]progress: [ 93 / 98 ] simplifiying candidate # 1544871523.660 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))) 1544871523.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1544871523.660 * * * * [misc]progress: [ 94 / 98 ] simplifiying candidate # 1544871523.660 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1544871523.662 * * [misc]simplify: iters left: 6 (17 enodes) 1544871523.673 * * [misc]simplify: iters left: 5 (35 enodes) 1544871523.692 * * [misc]simplify: iters left: 4 (74 enodes) 1544871523.726 * * [misc]simplify: iters left: 3 (192 enodes) 1544871523.879 * [exit]simplify: Simplified to (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544871523.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* PI 2) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871523.879 * * * * [misc]progress: [ 95 / 98 ] simplifiying candidate # 1544871523.879 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1544871523.880 * * [misc]simplify: iters left: 6 (17 enodes) 1544871523.884 * * [misc]simplify: iters left: 5 (29 enodes) 1544871523.892 * * [misc]simplify: iters left: 4 (59 enodes) 1544871523.916 * * [misc]simplify: iters left: 3 (156 enodes) 1544871524.022 * * [misc]simplify: iters left: 2 (468 enodes) 1544871524.924 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) 1544871524.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow n (fma k -1/2 1/2)) (pow (* PI 2) (fma k -1/2 1/2))) (sqrt k))) 1544871524.924 * * * * [misc]progress: [ 96 / 98 ] simplifiying candidate # 1544871524.924 * [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))))))))))))) 1544871524.924 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871524.924 * * * * [misc]progress: [ 97 / 98 ] simplifiying candidate # 1544871524.924 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1544871524.924 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871524.924 * * * * [misc]progress: [ 98 / 98 ] simplifiying candidate # 1544871524.925 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1544871524.925 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871524.925 * * * [misc]progress: adding candidates to table 1544871527.064 * * [misc]progress: iteration 3 / 4 1544871527.064 * * * [misc]progress: picking best candidate 1544871527.128 * * * * [misc]pick: Picked # 1544871527.128 * * * [misc]progress: localizing error 1544871527.161 * * * [misc]progress: generating rewritten candidates 1544871527.161 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1544871527.169 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1544871527.176 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1544871527.372 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) 1544871527.426 * * * [misc]progress: generating series expansions 1544871527.426 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1544871527.427 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1544871527.427 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1544871527.427 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871527.427 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871527.427 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871527.427 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.427 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.427 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.427 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.427 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.427 * [misc]taylor: Taking taylor expansion of k in k 1544871527.427 * [misc]backup-simplify: Simplify 0 into 0 1544871527.427 * [misc]backup-simplify: Simplify 1 into 1 1544871527.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.427 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.427 * [misc]taylor: Taking taylor expansion of n in k 1544871527.427 * [misc]backup-simplify: Simplify n into n 1544871527.427 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.427 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.428 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.428 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871527.428 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871527.428 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871527.428 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871527.428 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871527.428 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.428 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.428 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.428 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.428 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.428 * [misc]taylor: Taking taylor expansion of k in n 1544871527.428 * [misc]backup-simplify: Simplify k into k 1544871527.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.428 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.428 * [misc]taylor: Taking taylor expansion of n in n 1544871527.428 * [misc]backup-simplify: Simplify 0 into 0 1544871527.428 * [misc]backup-simplify: Simplify 1 into 1 1544871527.428 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.428 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.428 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.429 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.429 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871527.429 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871527.429 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871527.429 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871527.429 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871527.429 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.429 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.429 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.429 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.429 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.429 * [misc]taylor: Taking taylor expansion of k in n 1544871527.429 * [misc]backup-simplify: Simplify k into k 1544871527.429 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.429 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.429 * [misc]taylor: Taking taylor expansion of n in n 1544871527.429 * [misc]backup-simplify: Simplify 0 into 0 1544871527.429 * [misc]backup-simplify: Simplify 1 into 1 1544871527.430 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.430 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.430 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.430 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.430 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871527.430 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871527.430 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1544871527.430 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1544871527.430 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1544871527.430 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871527.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.430 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871527.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.431 * [misc]taylor: Taking taylor expansion of k in k 1544871527.431 * [misc]backup-simplify: Simplify 0 into 0 1544871527.431 * [misc]backup-simplify: Simplify 1 into 1 1544871527.431 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.431 * [misc]taylor: Taking taylor expansion of n in k 1544871527.431 * [misc]backup-simplify: Simplify n into n 1544871527.431 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.431 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871527.431 * [misc]backup-simplify: Simplify (- 0) into 0 1544871527.431 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.431 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871527.431 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871527.431 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1544871527.434 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871527.434 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1544871527.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.435 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.435 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1544871527.436 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.436 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.436 * [misc]backup-simplify: Simplify 0 into 0 1544871527.436 * [misc]backup-simplify: Simplify 0 into 0 1544871527.437 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871527.437 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544871527.438 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871527.438 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871527.438 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871527.438 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871527.439 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1544871527.443 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871527.443 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544871527.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.444 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1544871527.446 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.446 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.446 * [misc]backup-simplify: Simplify 0 into 0 1544871527.446 * [misc]backup-simplify: Simplify 0 into 0 1544871527.446 * [misc]backup-simplify: Simplify 0 into 0 1544871527.448 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871527.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.448 * [misc]backup-simplify: Simplify (- 0) into 0 1544871527.449 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.449 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871527.451 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871527.451 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871527.453 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1544871527.453 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871527.453 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1544871527.453 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.454 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.454 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.454 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.454 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of k in k 1544871527.454 * [misc]backup-simplify: Simplify 0 into 0 1544871527.454 * [misc]backup-simplify: Simplify 1 into 1 1544871527.454 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.454 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.454 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871527.454 * [misc]taylor: Taking taylor expansion of n in k 1544871527.454 * [misc]backup-simplify: Simplify n into n 1544871527.454 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871527.454 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871527.455 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.455 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.455 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871527.455 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871527.455 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.455 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871527.455 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871527.455 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.455 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.455 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.455 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.455 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.455 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.455 * [misc]taylor: Taking taylor expansion of k in n 1544871527.455 * [misc]backup-simplify: Simplify k into k 1544871527.455 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.456 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871527.456 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871527.456 * [misc]taylor: Taking taylor expansion of n in n 1544871527.456 * [misc]backup-simplify: Simplify 0 into 0 1544871527.456 * [misc]backup-simplify: Simplify 1 into 1 1544871527.456 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.456 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.456 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.456 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.457 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871527.457 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871527.457 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.457 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.457 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.457 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of k in n 1544871527.457 * [misc]backup-simplify: Simplify k into k 1544871527.457 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.457 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.457 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871527.457 * [misc]taylor: Taking taylor expansion of n in n 1544871527.457 * [misc]backup-simplify: Simplify 0 into 0 1544871527.457 * [misc]backup-simplify: Simplify 1 into 1 1544871527.458 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.458 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.458 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.458 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.458 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.458 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871527.459 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871527.459 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.459 * [misc]backup-simplify: Simplify -1 into -1 1544871527.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.459 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.459 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.459 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of k in k 1544871527.459 * [misc]backup-simplify: Simplify 0 into 0 1544871527.459 * [misc]backup-simplify: Simplify 1 into 1 1544871527.459 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.459 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.459 * [misc]taylor: Taking taylor expansion of n in k 1544871527.459 * [misc]backup-simplify: Simplify n into n 1544871527.459 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.460 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871527.460 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871527.460 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871527.460 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1544871527.460 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1544871527.460 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871527.460 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871527.461 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871527.470 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871527.470 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871527.470 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871527.470 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.470 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.471 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871527.472 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.472 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.472 * [misc]backup-simplify: Simplify 0 into 0 1544871527.472 * [misc]backup-simplify: Simplify 0 into 0 1544871527.472 * [misc]backup-simplify: Simplify 0 into 0 1544871527.473 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871527.477 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871527.478 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.478 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871527.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.478 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.479 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871527.481 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.481 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.481 * [misc]backup-simplify: Simplify 0 into 0 1544871527.481 * [misc]backup-simplify: Simplify 0 into 0 1544871527.481 * [misc]backup-simplify: Simplify 0 into 0 1544871527.481 * [misc]backup-simplify: Simplify 0 into 0 1544871527.482 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871527.489 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544871527.489 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.490 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871527.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.490 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.491 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1544871527.494 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871527.494 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.494 * [misc]backup-simplify: Simplify 0 into 0 1544871527.494 * [misc]backup-simplify: Simplify 0 into 0 1544871527.495 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1544871527.495 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1544871527.495 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1544871527.495 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.495 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871527.495 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871527.495 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.495 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.495 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.495 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.495 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.495 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.495 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.495 * [misc]backup-simplify: Simplify -1 into -1 1544871527.495 * [misc]taylor: Taking taylor expansion of k in k 1544871527.495 * [misc]backup-simplify: Simplify 0 into 0 1544871527.495 * [misc]backup-simplify: Simplify 1 into 1 1544871527.496 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.496 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.496 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871527.496 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871527.496 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.496 * [misc]backup-simplify: Simplify -1 into -1 1544871527.496 * [misc]taylor: Taking taylor expansion of n in k 1544871527.496 * [misc]backup-simplify: Simplify n into n 1544871527.496 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871527.496 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871527.496 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.496 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.496 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871527.497 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871527.497 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.497 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.497 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.497 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.497 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.497 * [misc]backup-simplify: Simplify -1 into -1 1544871527.497 * [misc]taylor: Taking taylor expansion of k in n 1544871527.497 * [misc]backup-simplify: Simplify k into k 1544871527.497 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.497 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871527.497 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.497 * [misc]backup-simplify: Simplify -1 into -1 1544871527.497 * [misc]taylor: Taking taylor expansion of n in n 1544871527.497 * [misc]backup-simplify: Simplify 0 into 0 1544871527.497 * [misc]backup-simplify: Simplify 1 into 1 1544871527.498 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.498 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871527.498 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.498 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.499 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871527.499 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871527.499 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.499 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871527.499 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871527.499 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.499 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.499 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.499 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.499 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.499 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.499 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.499 * [misc]backup-simplify: Simplify -1 into -1 1544871527.499 * [misc]taylor: Taking taylor expansion of k in n 1544871527.500 * [misc]backup-simplify: Simplify k into k 1544871527.500 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.500 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.500 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871527.500 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871527.500 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.500 * [misc]backup-simplify: Simplify -1 into -1 1544871527.500 * [misc]taylor: Taking taylor expansion of n in n 1544871527.500 * [misc]backup-simplify: Simplify 0 into 0 1544871527.500 * [misc]backup-simplify: Simplify 1 into 1 1544871527.500 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.500 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871527.500 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.500 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.501 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.501 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871527.501 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871527.502 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.502 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of k in k 1544871527.502 * [misc]backup-simplify: Simplify 0 into 0 1544871527.502 * [misc]backup-simplify: Simplify 1 into 1 1544871527.502 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.502 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of (log -1) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.502 * [misc]backup-simplify: Simplify -1 into -1 1544871527.502 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871527.502 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.502 * [misc]taylor: Taking taylor expansion of n in k 1544871527.503 * [misc]backup-simplify: Simplify n into n 1544871527.503 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.503 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871527.503 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.503 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871527.503 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1544871527.503 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1544871527.504 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871527.504 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871527.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871527.507 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871527.507 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871527.508 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871527.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.508 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.509 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1544871527.510 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.510 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.510 * [misc]backup-simplify: Simplify 0 into 0 1544871527.510 * [misc]backup-simplify: Simplify 0 into 0 1544871527.510 * [misc]backup-simplify: Simplify 0 into 0 1544871527.511 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871527.515 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871527.515 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.516 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871527.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.516 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.517 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1544871527.519 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.519 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.519 * [misc]backup-simplify: Simplify 0 into 0 1544871527.519 * [misc]backup-simplify: Simplify 0 into 0 1544871527.519 * [misc]backup-simplify: Simplify 0 into 0 1544871527.520 * [misc]backup-simplify: Simplify 0 into 0 1544871527.520 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871527.528 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1544871527.529 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.529 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1544871527.529 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.531 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1544871527.534 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871527.534 * [misc]taylor: Taking taylor expansion of 0 in k 1544871527.534 * [misc]backup-simplify: Simplify 0 into 0 1544871527.534 * [misc]backup-simplify: Simplify 0 into 0 1544871527.535 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1544871527.535 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1544871527.535 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 k 1/2)) into (pow PI (fma -1/2 k 1/2)) 1544871527.535 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in (k) around 0 1544871527.535 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1544871527.535 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1544871527.536 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1544871527.536 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.536 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.536 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.536 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.536 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.536 * [misc]taylor: Taking taylor expansion of k in k 1544871527.536 * [misc]backup-simplify: Simplify 0 into 0 1544871527.536 * [misc]backup-simplify: Simplify 1 into 1 1544871527.536 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.536 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.536 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.536 * [misc]backup-simplify: Simplify PI into PI 1544871527.536 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.537 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.537 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.537 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.538 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544871527.538 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1544871527.538 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1544871527.538 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1544871527.538 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.538 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.538 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.538 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.538 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.538 * [misc]taylor: Taking taylor expansion of k in k 1544871527.538 * [misc]backup-simplify: Simplify 0 into 0 1544871527.539 * [misc]backup-simplify: Simplify 1 into 1 1544871527.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.539 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.539 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.539 * [misc]backup-simplify: Simplify PI into PI 1544871527.539 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.539 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.539 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.540 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.541 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544871527.541 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544871527.544 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.544 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871527.545 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544871527.549 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544871527.551 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544871527.556 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871527.556 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.557 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.558 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544871527.564 * [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))) 1544871527.566 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544871527.571 * [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)))) 1544871527.571 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871527.571 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1544871527.571 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.571 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1544871527.571 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1544871527.571 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.571 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.571 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.571 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.571 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.571 * [misc]taylor: Taking taylor expansion of k in k 1544871527.571 * [misc]backup-simplify: Simplify 0 into 0 1544871527.571 * [misc]backup-simplify: Simplify 1 into 1 1544871527.571 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.571 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.572 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.572 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.572 * [misc]backup-simplify: Simplify PI into PI 1544871527.572 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.572 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.572 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.573 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544871527.573 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871527.573 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.573 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1544871527.574 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1544871527.574 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.574 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.574 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.574 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.574 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.574 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.574 * [misc]taylor: Taking taylor expansion of k in k 1544871527.574 * [misc]backup-simplify: Simplify 0 into 0 1544871527.574 * [misc]backup-simplify: Simplify 1 into 1 1544871527.574 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.574 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.574 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.574 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.574 * [misc]backup-simplify: Simplify PI into PI 1544871527.574 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.575 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.575 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.575 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544871527.576 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871527.576 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 k) 1/2)) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871527.576 * [misc]backup-simplify: Simplify 0 into 0 1544871527.576 * [misc]backup-simplify: Simplify 0 into 0 1544871527.576 * [misc]backup-simplify: Simplify 0 into 0 1544871527.576 * [misc]backup-simplify: Simplify 0 into 0 1544871527.576 * [misc]backup-simplify: Simplify 0 into 0 1544871527.576 * [misc]backup-simplify: Simplify 0 into 0 1544871527.577 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow PI (fma -1/2 k 1/2)) 1544871527.577 * [misc]backup-simplify: Simplify (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) into (pow PI (fma -1/2 (/ -1 k) 1/2)) 1544871527.577 * [misc]approximate: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1544871527.577 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.577 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1544871527.577 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1544871527.577 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.577 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.577 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.577 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.577 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.577 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.577 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.577 * [misc]backup-simplify: Simplify -1 into -1 1544871527.577 * [misc]taylor: Taking taylor expansion of k in k 1544871527.577 * [misc]backup-simplify: Simplify 0 into 0 1544871527.577 * [misc]backup-simplify: Simplify 1 into 1 1544871527.577 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.577 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.578 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.578 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.578 * [misc]backup-simplify: Simplify PI into PI 1544871527.578 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.578 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.578 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.579 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.579 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871527.579 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.579 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1544871527.580 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1544871527.580 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.580 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.580 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.580 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.580 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.580 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.580 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.580 * [misc]backup-simplify: Simplify -1 into -1 1544871527.580 * [misc]taylor: Taking taylor expansion of k in k 1544871527.580 * [misc]backup-simplify: Simplify 0 into 0 1544871527.580 * [misc]backup-simplify: Simplify 1 into 1 1544871527.580 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.580 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.580 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.580 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.580 * [misc]backup-simplify: Simplify PI into PI 1544871527.581 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.581 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.581 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.582 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.583 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871527.583 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871527.583 * [misc]backup-simplify: Simplify 0 into 0 1544871527.583 * [misc]backup-simplify: Simplify 0 into 0 1544871527.583 * [misc]backup-simplify: Simplify 0 into 0 1544871527.583 * [misc]backup-simplify: Simplify 0 into 0 1544871527.584 * [misc]backup-simplify: Simplify 0 into 0 1544871527.584 * [misc]backup-simplify: Simplify 0 into 0 1544871527.584 * [misc]backup-simplify: Simplify (exp (* (log PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2))) into (exp (* (log PI) (fma -1/2 k 1/2))) 1544871527.584 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1544871527.585 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) into (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) 1544871527.585 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in (k n) around 0 1544871527.585 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in n 1544871527.585 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1544871527.585 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1544871527.585 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1544871527.585 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.585 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.585 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.585 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.585 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.585 * [misc]taylor: Taking taylor expansion of k in n 1544871527.585 * [misc]backup-simplify: Simplify k into k 1544871527.585 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.585 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.585 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.585 * [misc]backup-simplify: Simplify PI into PI 1544871527.586 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.586 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.586 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.586 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544871527.587 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544871527.587 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in n 1544871527.587 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871527.587 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871527.587 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871527.587 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.587 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.587 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.587 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.587 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.587 * [misc]taylor: Taking taylor expansion of k in n 1544871527.587 * [misc]backup-simplify: Simplify k into k 1544871527.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.587 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.587 * [misc]taylor: Taking taylor expansion of n in n 1544871527.588 * [misc]backup-simplify: Simplify 0 into 0 1544871527.588 * [misc]backup-simplify: Simplify 1 into 1 1544871527.588 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.588 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.588 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.588 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.588 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871527.589 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871527.589 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in n 1544871527.589 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in n 1544871527.589 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in n 1544871527.589 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.589 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.589 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.589 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.589 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.589 * [misc]taylor: Taking taylor expansion of k in n 1544871527.589 * [misc]backup-simplify: Simplify k into k 1544871527.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.589 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.589 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.589 * [misc]backup-simplify: Simplify 2 into 2 1544871527.589 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.589 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.589 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.590 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1544871527.590 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1544871527.590 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1544871527.590 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1544871527.590 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1544871527.590 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1544871527.590 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.590 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.590 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.590 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.590 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.590 * [misc]taylor: Taking taylor expansion of k in k 1544871527.590 * [misc]backup-simplify: Simplify 0 into 0 1544871527.590 * [misc]backup-simplify: Simplify 1 into 1 1544871527.590 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.590 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.590 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.591 * [misc]backup-simplify: Simplify PI into PI 1544871527.591 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.591 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.591 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.592 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.593 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544871527.593 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1544871527.593 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871527.593 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871527.593 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871527.593 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.593 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.593 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.593 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.593 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.593 * [misc]taylor: Taking taylor expansion of k in k 1544871527.593 * [misc]backup-simplify: Simplify 0 into 0 1544871527.593 * [misc]backup-simplify: Simplify 1 into 1 1544871527.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.593 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.593 * [misc]taylor: Taking taylor expansion of n in k 1544871527.593 * [misc]backup-simplify: Simplify n into n 1544871527.593 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.593 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.594 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.594 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871527.594 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871527.594 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1544871527.594 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1544871527.594 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1544871527.594 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.594 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.594 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.594 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.594 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.594 * [misc]taylor: Taking taylor expansion of k in k 1544871527.594 * [misc]backup-simplify: Simplify 0 into 0 1544871527.594 * [misc]backup-simplify: Simplify 1 into 1 1544871527.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.594 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544871527.594 * [misc]taylor: Taking taylor expansion of 2 in k 1544871527.594 * [misc]backup-simplify: Simplify 2 into 2 1544871527.594 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.595 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.595 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.595 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1544871527.596 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1544871527.596 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2)))) in k 1544871527.596 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1544871527.596 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1544871527.596 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1544871527.596 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.596 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.596 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.596 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.596 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.596 * [misc]taylor: Taking taylor expansion of k in k 1544871527.596 * [misc]backup-simplify: Simplify 0 into 0 1544871527.596 * [misc]backup-simplify: Simplify 1 into 1 1544871527.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.596 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.596 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.596 * [misc]backup-simplify: Simplify PI into PI 1544871527.597 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.597 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.597 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.597 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.598 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544871527.598 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) in k 1544871527.598 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871527.598 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871527.598 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871527.598 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.599 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.599 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.599 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.599 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.599 * [misc]taylor: Taking taylor expansion of k in k 1544871527.599 * [misc]backup-simplify: Simplify 0 into 0 1544871527.599 * [misc]backup-simplify: Simplify 1 into 1 1544871527.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.599 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.599 * [misc]taylor: Taking taylor expansion of n in k 1544871527.599 * [misc]backup-simplify: Simplify n into n 1544871527.599 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.599 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.599 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.599 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871527.599 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871527.600 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 k 1/2)) in k 1544871527.600 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log 2))) in k 1544871527.600 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log 2)) in k 1544871527.600 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.600 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.600 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.600 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.600 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.600 * [misc]taylor: Taking taylor expansion of k in k 1544871527.600 * [misc]backup-simplify: Simplify 0 into 0 1544871527.600 * [misc]backup-simplify: Simplify 1 into 1 1544871527.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.600 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544871527.600 * [misc]taylor: Taking taylor expansion of 2 in k 1544871527.600 * [misc]backup-simplify: Simplify 2 into 2 1544871527.600 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.600 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.601 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.601 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1544871527.601 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1544871527.602 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1544871527.602 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (sqrt (* n 2))) into (* (sqrt 2) (sqrt (* n PI))) 1544871527.602 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871527.602 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.602 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.603 * [misc]backup-simplify: Simplify 2 into 2 1544871527.603 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.603 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.603 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.603 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.603 * [misc]taylor: Taking taylor expansion of n in n 1544871527.603 * [misc]backup-simplify: Simplify 0 into 0 1544871527.603 * [misc]backup-simplify: Simplify 1 into 1 1544871527.603 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.603 * [misc]backup-simplify: Simplify PI into PI 1544871527.604 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.604 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.604 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.605 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.605 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871527.605 * [misc]backup-simplify: Simplify 0 into 0 1544871527.608 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544871527.608 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871527.608 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.609 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1544871527.612 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1544871527.613 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871527.613 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871527.614 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871527.614 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871527.615 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1544871527.618 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.619 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871527.619 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.620 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544871527.624 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544871527.627 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* -1/2 (* (log PI) (sqrt PI))) (sqrt (* n 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1544871527.627 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.627 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.627 * [misc]backup-simplify: Simplify 2 into 2 1544871527.627 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.627 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.627 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.627 * [misc]backup-simplify: Simplify 2 into 2 1544871527.627 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.628 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.628 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.628 * [misc]taylor: Taking taylor expansion of n in n 1544871527.628 * [misc]backup-simplify: Simplify 0 into 0 1544871527.628 * [misc]backup-simplify: Simplify 1 into 1 1544871527.628 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.628 * [misc]backup-simplify: Simplify PI into PI 1544871527.628 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.629 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.629 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.630 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.630 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1544871527.630 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544871527.630 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.630 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544871527.630 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544871527.630 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.630 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.630 * [misc]backup-simplify: Simplify 2 into 2 1544871527.630 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.630 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.630 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.630 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.630 * [misc]backup-simplify: Simplify PI into PI 1544871527.631 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.631 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.631 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.631 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.631 * [misc]backup-simplify: Simplify PI into PI 1544871527.631 * [misc]taylor: Taking taylor expansion of n in n 1544871527.631 * [misc]backup-simplify: Simplify 0 into 0 1544871527.631 * [misc]backup-simplify: Simplify 1 into 1 1544871527.631 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.632 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.633 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.633 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.633 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1544871527.633 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.633 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1544871527.633 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871527.633 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.633 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.633 * [misc]backup-simplify: Simplify 2 into 2 1544871527.634 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.634 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.634 * [misc]taylor: Taking taylor expansion of n in n 1544871527.634 * [misc]backup-simplify: Simplify 0 into 0 1544871527.634 * [misc]backup-simplify: Simplify 1 into 1 1544871527.634 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.634 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.634 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.634 * [misc]taylor: Taking taylor expansion of n in n 1544871527.634 * [misc]backup-simplify: Simplify 0 into 0 1544871527.634 * [misc]backup-simplify: Simplify 1 into 1 1544871527.634 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.635 * [misc]backup-simplify: Simplify PI into PI 1544871527.635 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.636 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.636 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.636 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.637 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1544871527.637 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1544871527.637 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871527.638 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544871527.642 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544871527.642 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871527.642 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.642 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871527.643 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1544871527.643 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871527.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.643 * [misc]backup-simplify: Simplify (- 0) into 0 1544871527.643 * [misc]backup-simplify: Simplify 0 into 0 1544871527.645 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871527.646 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871527.650 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544871527.651 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1544871527.656 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1544871527.658 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871527.658 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.658 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871527.660 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871527.665 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1544871527.670 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871527.671 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.671 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.672 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544871527.678 * [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))) 1544871527.691 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (sqrt (* n 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1544871527.691 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) in n 1544871527.691 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1544871527.691 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871527.691 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871527.691 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1544871527.691 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1544871527.691 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.691 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.691 * [misc]backup-simplify: Simplify 2 into 2 1544871527.692 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.692 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.692 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1544871527.692 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.692 * [misc]taylor: Taking taylor expansion of n in n 1544871527.692 * [misc]backup-simplify: Simplify 0 into 0 1544871527.692 * [misc]backup-simplify: Simplify 1 into 1 1544871527.692 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.692 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.693 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.693 * [misc]taylor: Taking taylor expansion of n in n 1544871527.693 * [misc]backup-simplify: Simplify 0 into 0 1544871527.693 * [misc]backup-simplify: Simplify 1 into 1 1544871527.693 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.693 * [misc]backup-simplify: Simplify PI into PI 1544871527.693 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.694 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.694 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.694 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.694 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))))) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871527.695 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871527.695 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.695 * [misc]backup-simplify: Simplify 2 into 2 1544871527.695 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.695 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.695 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.695 * [misc]backup-simplify: Simplify 2 into 2 1544871527.695 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.696 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.696 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.696 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.696 * [misc]taylor: Taking taylor expansion of n in n 1544871527.696 * [misc]backup-simplify: Simplify 0 into 0 1544871527.696 * [misc]backup-simplify: Simplify 1 into 1 1544871527.696 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.696 * [misc]backup-simplify: Simplify PI into PI 1544871527.696 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.697 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.697 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.697 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871527.698 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871527.698 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.698 * [misc]backup-simplify: Simplify 2 into 2 1544871527.698 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.698 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.698 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.698 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.698 * [misc]backup-simplify: Simplify PI into PI 1544871527.699 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.699 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.699 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.699 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.699 * [misc]backup-simplify: Simplify PI into PI 1544871527.699 * [misc]taylor: Taking taylor expansion of n in n 1544871527.699 * [misc]backup-simplify: Simplify 0 into 0 1544871527.699 * [misc]backup-simplify: Simplify 1 into 1 1544871527.699 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.700 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.701 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.701 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))))) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544871527.701 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544871527.701 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.701 * [misc]backup-simplify: Simplify 2 into 2 1544871527.701 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.701 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.701 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.701 * [misc]backup-simplify: Simplify 2 into 2 1544871527.701 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.702 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.702 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.702 * [misc]taylor: Taking taylor expansion of n in n 1544871527.702 * [misc]backup-simplify: Simplify 0 into 0 1544871527.702 * [misc]backup-simplify: Simplify 1 into 1 1544871527.702 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.702 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.702 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.702 * [misc]taylor: Taking taylor expansion of n in n 1544871527.702 * [misc]backup-simplify: Simplify 0 into 0 1544871527.702 * [misc]backup-simplify: Simplify 1 into 1 1544871527.702 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.702 * [misc]backup-simplify: Simplify PI into PI 1544871527.702 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.703 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.704 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.704 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544871527.704 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544871527.704 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.704 * [misc]backup-simplify: Simplify 2 into 2 1544871527.704 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.704 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.704 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.704 * [misc]backup-simplify: Simplify 2 into 2 1544871527.705 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.705 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.705 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.705 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.705 * [misc]backup-simplify: Simplify PI into PI 1544871527.705 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.705 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.705 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.705 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.705 * [misc]backup-simplify: Simplify PI into PI 1544871527.705 * [misc]taylor: Taking taylor expansion of n in n 1544871527.706 * [misc]backup-simplify: Simplify 0 into 0 1544871527.706 * [misc]backup-simplify: Simplify 1 into 1 1544871527.706 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.707 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.707 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.707 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.707 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1544871527.707 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544871527.707 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544871527.707 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1544871527.707 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1544871527.707 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871527.707 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.708 * [misc]backup-simplify: Simplify 2 into 2 1544871527.708 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871527.708 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871527.708 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1544871527.708 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.708 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.708 * [misc]backup-simplify: Simplify PI into PI 1544871527.708 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.708 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.708 * [misc]taylor: Taking taylor expansion of n in n 1544871527.708 * [misc]backup-simplify: Simplify 0 into 0 1544871527.709 * [misc]backup-simplify: Simplify 1 into 1 1544871527.709 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.709 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.709 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.709 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.709 * [misc]backup-simplify: Simplify PI into PI 1544871527.709 * [misc]taylor: Taking taylor expansion of n in n 1544871527.709 * [misc]backup-simplify: Simplify 0 into 0 1544871527.709 * [misc]backup-simplify: Simplify 1 into 1 1544871527.709 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.710 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.710 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.711 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.711 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.711 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.712 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1544871527.712 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1544871527.713 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1544871527.714 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871527.714 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1544871527.716 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1544871527.718 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1544871527.718 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871527.719 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544871527.721 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544871527.722 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544871527.723 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871527.723 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.723 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871527.724 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1544871527.724 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1544871527.724 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1544871527.725 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544871527.726 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1544871527.728 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1544871527.728 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1544871527.728 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.728 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1544871527.729 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1544871527.730 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1544871527.730 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1544871527.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.731 * [misc]backup-simplify: Simplify 0 into 0 1544871527.733 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544871527.734 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1544871527.736 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1544871527.737 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1544871527.739 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.739 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544871527.741 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544871527.742 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544871527.744 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871527.744 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.744 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1544871527.745 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871527.745 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871527.746 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))))) 1544871527.749 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1544871527.752 * [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))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1544871527.755 * [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)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1544871527.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871527.757 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544871527.758 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544871527.760 * [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)))) 1544871527.761 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544871527.766 * [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)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log 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) (* (pow n 2) (pow PI 2))))))))))))) 1544871527.767 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) 1544871527.767 * [misc]approximate: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in (k n) around 0 1544871527.767 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.767 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.767 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.767 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of k in n 1544871527.767 * [misc]backup-simplify: Simplify k into k 1544871527.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.767 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.767 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.767 * [misc]backup-simplify: Simplify 2 into 2 1544871527.767 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.767 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.767 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.768 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1544871527.768 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1544871527.768 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.768 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.768 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.768 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of k in n 1544871527.768 * [misc]backup-simplify: Simplify k into k 1544871527.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.768 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.768 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.768 * [misc]backup-simplify: Simplify PI into PI 1544871527.769 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.769 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.769 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.769 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544871527.769 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544871527.769 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.769 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.769 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.769 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of k in n 1544871527.769 * [misc]backup-simplify: Simplify k into k 1544871527.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.769 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871527.769 * [misc]taylor: Taking taylor expansion of n in n 1544871527.770 * [misc]backup-simplify: Simplify 0 into 0 1544871527.770 * [misc]backup-simplify: Simplify 1 into 1 1544871527.770 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.770 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.770 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.770 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.770 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871527.772 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871527.772 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.772 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.772 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.772 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of k in k 1544871527.772 * [misc]backup-simplify: Simplify 0 into 0 1544871527.772 * [misc]backup-simplify: Simplify 1 into 1 1544871527.772 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.772 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544871527.772 * [misc]taylor: Taking taylor expansion of 2 in k 1544871527.772 * [misc]backup-simplify: Simplify 2 into 2 1544871527.772 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.772 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.773 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.773 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1544871527.773 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1544871527.773 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.773 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.773 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.773 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of k in k 1544871527.773 * [misc]backup-simplify: Simplify 0 into 0 1544871527.773 * [misc]backup-simplify: Simplify 1 into 1 1544871527.773 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.773 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.773 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.773 * [misc]backup-simplify: Simplify PI into PI 1544871527.774 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.774 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.774 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.774 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544871527.774 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871527.774 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.774 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871527.774 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871527.774 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.775 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.775 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.775 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of k in k 1544871527.775 * [misc]backup-simplify: Simplify 0 into 0 1544871527.775 * [misc]backup-simplify: Simplify 1 into 1 1544871527.775 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.775 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.775 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of n in k 1544871527.775 * [misc]backup-simplify: Simplify n into n 1544871527.775 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871527.775 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871527.775 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.775 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.775 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871527.775 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871527.775 * [misc]taylor: Taking taylor expansion of (* (pow 2 (fma -1/2 (/ 1 k) 1/2)) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log 2)) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.775 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.775 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.775 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.775 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.776 * [misc]taylor: Taking taylor expansion of k in k 1544871527.776 * [misc]backup-simplify: Simplify 0 into 0 1544871527.776 * [misc]backup-simplify: Simplify 1 into 1 1544871527.776 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.776 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544871527.776 * [misc]taylor: Taking taylor expansion of 2 in k 1544871527.776 * [misc]backup-simplify: Simplify 2 into 2 1544871527.776 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.776 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.776 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.776 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1544871527.776 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 1544871527.776 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871527.776 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.776 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1544871527.777 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1544871527.777 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.777 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.777 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.777 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.777 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.777 * [misc]taylor: Taking taylor expansion of k in k 1544871527.777 * [misc]backup-simplify: Simplify 0 into 0 1544871527.777 * [misc]backup-simplify: Simplify 1 into 1 1544871527.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.777 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.777 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.777 * [misc]backup-simplify: Simplify PI into PI 1544871527.777 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.777 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.777 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.778 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544871527.778 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871527.778 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871527.778 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.778 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.778 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.778 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of k in k 1544871527.778 * [misc]backup-simplify: Simplify 0 into 0 1544871527.778 * [misc]backup-simplify: Simplify 1 into 1 1544871527.778 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.778 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871527.778 * [misc]taylor: Taking taylor expansion of n in k 1544871527.778 * [misc]backup-simplify: Simplify n into n 1544871527.778 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871527.778 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871527.779 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871527.779 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.779 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871527.779 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871527.779 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871527.780 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) 1544871527.780 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2)))) in n 1544871527.780 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) in n 1544871527.780 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.780 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.780 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.780 * [misc]backup-simplify: Simplify 2 into 2 1544871527.780 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.780 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.780 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.780 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.780 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.780 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.780 * [misc]taylor: Taking taylor expansion of k in n 1544871527.780 * [misc]backup-simplify: Simplify k into k 1544871527.780 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.780 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.780 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.780 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.781 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1544871527.781 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1544871527.781 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (pow PI (fma -1/2 (/ 1 k) 1/2))) in n 1544871527.781 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.781 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871527.781 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871527.781 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.781 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.781 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.781 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.781 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.781 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.781 * [misc]taylor: Taking taylor expansion of k in n 1544871527.781 * [misc]backup-simplify: Simplify k into k 1544871527.781 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.781 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.782 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871527.782 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871527.782 * [misc]taylor: Taking taylor expansion of n in n 1544871527.782 * [misc]backup-simplify: Simplify 0 into 0 1544871527.782 * [misc]backup-simplify: Simplify 1 into 1 1544871527.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871527.782 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.782 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.782 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.783 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871527.783 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871527.783 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1544871527.783 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1544871527.783 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1544871527.783 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871527.783 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871527.783 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871527.783 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.783 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871527.783 * [misc]taylor: Taking taylor expansion of k in n 1544871527.783 * [misc]backup-simplify: Simplify k into k 1544871527.783 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871527.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.783 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.783 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.783 * [misc]backup-simplify: Simplify PI into PI 1544871527.784 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.784 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871527.784 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871527.784 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544871527.784 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544871527.785 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1544871527.786 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1544871527.786 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1544871527.787 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1544871527.787 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1544871527.787 * [misc]taylor: Taking taylor expansion of 0 in n 1544871527.787 * [misc]backup-simplify: Simplify 0 into 0 1544871527.787 * [misc]backup-simplify: Simplify 0 into 0 1544871527.790 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.790 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871527.790 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871527.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.791 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544871527.793 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.793 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871527.795 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871527.795 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871527.796 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871527.796 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.796 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.796 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871527.797 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.798 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544871527.798 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871527.798 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871527.798 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.800 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544871527.801 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1544871527.802 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.803 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544871527.803 * [misc]backup-simplify: Simplify 0 into 0 1544871527.803 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1544871527.804 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1544871527.804 * [misc]taylor: Taking taylor expansion of 0 in n 1544871527.804 * [misc]backup-simplify: Simplify 0 into 0 1544871527.804 * [misc]backup-simplify: Simplify 0 into 0 1544871527.804 * [misc]backup-simplify: Simplify 0 into 0 1544871527.809 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871527.809 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.809 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871527.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.811 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544871527.813 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.814 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871527.819 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871527.819 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.820 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871527.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.820 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871527.820 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871527.823 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.823 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544871527.824 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.824 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871527.824 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.829 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544871527.829 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (* 0 (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544871527.832 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.833 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1544871527.833 * [misc]backup-simplify: Simplify 0 into 0 1544871527.833 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1544871527.834 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (fma -1/2 (/ 1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))))) into 0 1544871527.834 * [misc]taylor: Taking taylor expansion of 0 in n 1544871527.834 * [misc]backup-simplify: Simplify 0 into 0 1544871527.834 * [misc]backup-simplify: Simplify 0 into 0 1544871527.835 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1544871527.836 * [misc]backup-simplify: Simplify (* (pow 2 (fma -1/2 (/ 1 (- k)) 1/2)) (* (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)))) into (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) 1544871527.836 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in (k n) around 0 1544871527.836 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.836 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.836 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.836 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.836 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.836 * [misc]backup-simplify: Simplify -1 into -1 1544871527.836 * [misc]taylor: Taking taylor expansion of k in n 1544871527.836 * [misc]backup-simplify: Simplify k into k 1544871527.836 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.836 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.836 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.837 * [misc]backup-simplify: Simplify PI into PI 1544871527.837 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.837 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.837 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.838 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544871527.838 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544871527.838 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in n 1544871527.838 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.838 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871527.838 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871527.838 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.838 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.838 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.838 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.838 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.838 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.838 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.838 * [misc]backup-simplify: Simplify -1 into -1 1544871527.838 * [misc]taylor: Taking taylor expansion of k in n 1544871527.839 * [misc]backup-simplify: Simplify k into k 1544871527.839 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.839 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871527.839 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871527.839 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.839 * [misc]backup-simplify: Simplify -1 into -1 1544871527.839 * [misc]taylor: Taking taylor expansion of n in n 1544871527.839 * [misc]backup-simplify: Simplify 0 into 0 1544871527.839 * [misc]backup-simplify: Simplify 1 into 1 1544871527.839 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.839 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871527.839 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.839 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.840 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.840 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871527.840 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871527.840 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.840 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in n 1544871527.840 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in n 1544871527.840 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.840 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.840 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.841 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.841 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.841 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.841 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.841 * [misc]backup-simplify: Simplify -1 into -1 1544871527.841 * [misc]taylor: Taking taylor expansion of k in n 1544871527.841 * [misc]backup-simplify: Simplify k into k 1544871527.841 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.841 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.841 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.841 * [misc]backup-simplify: Simplify 2 into 2 1544871527.841 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.841 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.841 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.841 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871527.842 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1544871527.842 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1544871527.842 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.842 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1544871527.842 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1544871527.842 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.842 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.842 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.842 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.842 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.842 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.842 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.842 * [misc]backup-simplify: Simplify -1 into -1 1544871527.842 * [misc]taylor: Taking taylor expansion of k in k 1544871527.842 * [misc]backup-simplify: Simplify 0 into 0 1544871527.842 * [misc]backup-simplify: Simplify 1 into 1 1544871527.842 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.842 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.843 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.843 * [misc]backup-simplify: Simplify PI into PI 1544871527.843 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.843 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.843 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.844 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.844 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871527.844 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1544871527.844 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.844 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871527.844 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871527.844 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.844 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.844 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.845 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.845 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.845 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.845 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.845 * [misc]backup-simplify: Simplify -1 into -1 1544871527.845 * [misc]taylor: Taking taylor expansion of k in k 1544871527.845 * [misc]backup-simplify: Simplify 0 into 0 1544871527.845 * [misc]backup-simplify: Simplify 1 into 1 1544871527.845 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.845 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871527.845 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871527.845 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.845 * [misc]backup-simplify: Simplify -1 into -1 1544871527.845 * [misc]taylor: Taking taylor expansion of n in k 1544871527.845 * [misc]backup-simplify: Simplify n into n 1544871527.845 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871527.846 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871527.846 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.846 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.846 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871527.846 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871527.846 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.846 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1544871527.846 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1544871527.846 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.847 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.847 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.847 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.847 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.847 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.847 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.847 * [misc]backup-simplify: Simplify -1 into -1 1544871527.847 * [misc]taylor: Taking taylor expansion of k in k 1544871527.847 * [misc]backup-simplify: Simplify 0 into 0 1544871527.847 * [misc]backup-simplify: Simplify 1 into 1 1544871527.847 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.847 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544871527.847 * [misc]taylor: Taking taylor expansion of 2 in k 1544871527.847 * [misc]backup-simplify: Simplify 2 into 2 1544871527.847 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.847 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.848 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.848 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1544871527.848 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1544871527.848 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2)))) in k 1544871527.848 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.848 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1544871527.848 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1544871527.848 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.848 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.848 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.849 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.849 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.849 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.849 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.849 * [misc]backup-simplify: Simplify -1 into -1 1544871527.849 * [misc]taylor: Taking taylor expansion of k in k 1544871527.849 * [misc]backup-simplify: Simplify 0 into 0 1544871527.849 * [misc]backup-simplify: Simplify 1 into 1 1544871527.849 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.849 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.849 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.849 * [misc]backup-simplify: Simplify PI into PI 1544871527.849 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.850 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.850 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.850 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.851 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871527.851 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow 2 (fma -1/2 (/ -1 k) 1/2))) in k 1544871527.851 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.851 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871527.851 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871527.851 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.851 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.851 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.851 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.851 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.851 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.851 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.851 * [misc]backup-simplify: Simplify -1 into -1 1544871527.851 * [misc]taylor: Taking taylor expansion of k in k 1544871527.851 * [misc]backup-simplify: Simplify 0 into 0 1544871527.851 * [misc]backup-simplify: Simplify 1 into 1 1544871527.851 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.851 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.852 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871527.852 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871527.852 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.852 * [misc]backup-simplify: Simplify -1 into -1 1544871527.852 * [misc]taylor: Taking taylor expansion of n in k 1544871527.852 * [misc]backup-simplify: Simplify n into n 1544871527.852 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871527.852 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871527.852 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.852 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.852 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871527.852 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871527.852 * [misc]taylor: Taking taylor expansion of (pow 2 (fma -1/2 (/ -1 k) 1/2)) in k 1544871527.853 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) in k 1544871527.853 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log 2)) in k 1544871527.853 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871527.853 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.853 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871527.853 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.853 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.853 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871527.853 * [misc]taylor: Taking taylor expansion of -1 in k 1544871527.853 * [misc]backup-simplify: Simplify -1 into -1 1544871527.853 * [misc]taylor: Taking taylor expansion of k in k 1544871527.853 * [misc]backup-simplify: Simplify 0 into 0 1544871527.853 * [misc]backup-simplify: Simplify 1 into 1 1544871527.853 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.853 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.853 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.853 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544871527.853 * [misc]taylor: Taking taylor expansion of 2 in k 1544871527.853 * [misc]backup-simplify: Simplify 2 into 2 1544871527.853 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.854 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871527.854 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871527.854 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1544871527.854 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log 2))) into (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) 1544871527.855 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) 1544871527.856 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) 1544871527.856 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) in n 1544871527.856 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871527.856 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.856 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871527.856 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871527.856 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.856 * [misc]backup-simplify: Simplify -1 into -1 1544871527.856 * [misc]taylor: Taking taylor expansion of n in n 1544871527.856 * [misc]backup-simplify: Simplify 0 into 0 1544871527.856 * [misc]backup-simplify: Simplify 1 into 1 1544871527.856 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871527.856 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871527.856 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.856 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.857 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.857 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.857 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.857 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.857 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.857 * [misc]backup-simplify: Simplify -1 into -1 1544871527.857 * [misc]taylor: Taking taylor expansion of k in n 1544871527.857 * [misc]backup-simplify: Simplify k into k 1544871527.857 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.857 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.857 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.858 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871527.858 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871527.858 * [misc]taylor: Taking taylor expansion of (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871527.858 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871527.858 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.858 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.858 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.858 * [misc]backup-simplify: Simplify PI into PI 1544871527.859 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.859 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.859 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.859 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.859 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.859 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.859 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.859 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.859 * [misc]backup-simplify: Simplify -1 into -1 1544871527.859 * [misc]taylor: Taking taylor expansion of k in n 1544871527.859 * [misc]backup-simplify: Simplify k into k 1544871527.859 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.859 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.859 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.860 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544871527.860 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544871527.860 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))) in n 1544871527.860 * [misc]taylor: Taking taylor expansion of (* (log 2) (fma -1/2 (/ -1 k) 1/2)) in n 1544871527.860 * [misc]taylor: Taking taylor expansion of (log 2) in n 1544871527.860 * [misc]taylor: Taking taylor expansion of 2 in n 1544871527.860 * [misc]backup-simplify: Simplify 2 into 2 1544871527.860 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544871527.861 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871527.861 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871527.861 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871527.861 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.861 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.861 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871527.861 * [misc]taylor: Taking taylor expansion of -1 in n 1544871527.861 * [misc]backup-simplify: Simplify -1 into -1 1544871527.861 * [misc]taylor: Taking taylor expansion of k in n 1544871527.861 * [misc]backup-simplify: Simplify k into k 1544871527.861 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871527.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.861 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871527.861 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871527.861 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871527.862 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1544871527.862 * [misc]backup-simplify: Simplify (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544871527.863 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544871527.864 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1544871527.864 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))) into 0 1544871527.865 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1544871527.865 * [misc]taylor: Taking taylor expansion of 0 in n 1544871527.865 * [misc]backup-simplify: Simplify 0 into 0 1544871527.865 * [misc]backup-simplify: Simplify 0 into 0 1544871527.865 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871527.866 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871527.866 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.868 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544871527.869 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871527.870 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.870 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871527.870 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871527.870 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.873 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.874 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871527.875 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.876 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544871527.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.876 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871527.877 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871527.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.877 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871527.880 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871527.880 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871527.881 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871527.882 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544871527.882 * [misc]backup-simplify: Simplify 0 into 0 1544871527.883 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1544871527.884 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1544871527.884 * [misc]taylor: Taking taylor expansion of 0 in n 1544871527.884 * [misc]backup-simplify: Simplify 0 into 0 1544871527.884 * [misc]backup-simplify: Simplify 0 into 0 1544871527.884 * [misc]backup-simplify: Simplify 0 into 0 1544871527.884 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.885 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871527.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.889 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544871527.890 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871527.892 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.892 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.893 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871527.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.898 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871527.899 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871527.901 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.902 * [misc]backup-simplify: Simplify (+ (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1544871527.902 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871527.903 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871527.903 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871527.903 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.903 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871527.908 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871527.909 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871527.911 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871527.912 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1544871527.912 * [misc]backup-simplify: Simplify 0 into 0 1544871527.913 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1544871527.914 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log 2) (fma -1/2 (/ -1 k) 1/2)))))))) into 0 1544871527.915 * [misc]taylor: Taking taylor expansion of 0 in n 1544871527.915 * [misc]backup-simplify: Simplify 0 into 0 1544871527.915 * [misc]backup-simplify: Simplify 0 into 0 1544871527.916 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1544871527.916 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) 1544871527.916 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) into (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544871527.916 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in (k n) around 0 1544871527.916 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in n 1544871527.916 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in n 1544871527.916 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in n 1544871527.916 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in n 1544871527.916 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.917 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.917 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.917 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.917 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.917 * [misc]taylor: Taking taylor expansion of k in n 1544871527.917 * [misc]backup-simplify: Simplify k into k 1544871527.917 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.917 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.917 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.917 * [misc]backup-simplify: Simplify PI into PI 1544871527.917 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.917 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.917 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.918 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544871527.918 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544871527.918 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871527.918 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871527.918 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871527.918 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871527.918 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.918 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871527.918 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871527.918 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.918 * [misc]taylor: Taking taylor expansion of k in n 1544871527.918 * [misc]backup-simplify: Simplify k into k 1544871527.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.919 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.919 * [misc]taylor: Taking taylor expansion of n in n 1544871527.919 * [misc]backup-simplify: Simplify 0 into 0 1544871527.919 * [misc]backup-simplify: Simplify 1 into 1 1544871527.919 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.919 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871527.919 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871527.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.919 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871527.919 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871527.920 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1544871527.920 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1544871527.920 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1544871527.920 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1544871527.920 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.920 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.920 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.920 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.920 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.920 * [misc]taylor: Taking taylor expansion of k in k 1544871527.920 * [misc]backup-simplify: Simplify 0 into 0 1544871527.920 * [misc]backup-simplify: Simplify 1 into 1 1544871527.920 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.920 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.920 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.920 * [misc]backup-simplify: Simplify PI into PI 1544871527.920 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.921 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.921 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.921 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.922 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544871527.922 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871527.922 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871527.922 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871527.922 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.922 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.922 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.922 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.922 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.922 * [misc]taylor: Taking taylor expansion of k in k 1544871527.922 * [misc]backup-simplify: Simplify 0 into 0 1544871527.923 * [misc]backup-simplify: Simplify 1 into 1 1544871527.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.923 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.923 * [misc]taylor: Taking taylor expansion of n in k 1544871527.923 * [misc]backup-simplify: Simplify n into n 1544871527.923 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.923 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.923 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.923 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871527.923 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871527.923 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) in k 1544871527.923 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 k 1/2)) in k 1544871527.923 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log PI))) in k 1544871527.923 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log PI)) in k 1544871527.923 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.923 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.923 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.924 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.924 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.924 * [misc]taylor: Taking taylor expansion of k in k 1544871527.924 * [misc]backup-simplify: Simplify 0 into 0 1544871527.924 * [misc]backup-simplify: Simplify 1 into 1 1544871527.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.924 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871527.924 * [misc]taylor: Taking taylor expansion of PI in k 1544871527.924 * [misc]backup-simplify: Simplify PI into PI 1544871527.924 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.924 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.924 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.925 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871527.926 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544871527.926 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871527.926 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871527.926 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871527.926 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871527.926 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871527.926 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871527.926 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871527.926 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871527.926 * [misc]taylor: Taking taylor expansion of k in k 1544871527.926 * [misc]backup-simplify: Simplify 0 into 0 1544871527.926 * [misc]backup-simplify: Simplify 1 into 1 1544871527.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871527.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.926 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871527.926 * [misc]taylor: Taking taylor expansion of n in k 1544871527.926 * [misc]backup-simplify: Simplify n into n 1544871527.926 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871527.927 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871527.927 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871527.927 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871527.927 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871527.927 * [misc]backup-simplify: Simplify (* (pow PI 1/2) (pow n 1/2)) into (sqrt (* n PI)) 1544871527.927 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.927 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.928 * [misc]taylor: Taking taylor expansion of n in n 1544871527.928 * [misc]backup-simplify: Simplify 0 into 0 1544871527.928 * [misc]backup-simplify: Simplify 1 into 1 1544871527.928 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.928 * [misc]backup-simplify: Simplify PI into PI 1544871527.928 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.929 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.929 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.929 * [misc]backup-simplify: Simplify 0 into 0 1544871527.930 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871527.932 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871527.933 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871527.933 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871527.936 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.936 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871527.937 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871527.938 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544871527.941 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544871527.943 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* -1/2 (* (sqrt n) (log n)))) (* (* -1/2 (* (log PI) (sqrt PI))) (pow n 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) 1544871527.943 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n)))))) in n 1544871527.943 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (* n PI)) (log n))) (* 1/2 (* (log PI) (sqrt (* PI n))))) in n 1544871527.943 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (log n))) in n 1544871527.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.943 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (log n)) in n 1544871527.944 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.944 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.944 * [misc]taylor: Taking taylor expansion of n in n 1544871527.944 * [misc]backup-simplify: Simplify 0 into 0 1544871527.944 * [misc]backup-simplify: Simplify 1 into 1 1544871527.944 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.944 * [misc]backup-simplify: Simplify PI into PI 1544871527.944 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.945 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.945 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.946 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.946 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.946 * [misc]taylor: Taking taylor expansion of n in n 1544871527.946 * [misc]backup-simplify: Simplify 0 into 0 1544871527.946 * [misc]backup-simplify: Simplify 1 into 1 1544871527.946 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.946 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log PI) (sqrt (* PI n)))) in n 1544871527.946 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871527.946 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871527.946 * [misc]taylor: Taking taylor expansion of (* (log PI) (sqrt (* PI n))) in n 1544871527.946 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.946 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.946 * [misc]backup-simplify: Simplify PI into PI 1544871527.947 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.947 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.947 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.947 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.947 * [misc]backup-simplify: Simplify PI into PI 1544871527.947 * [misc]taylor: Taking taylor expansion of n in n 1544871527.947 * [misc]backup-simplify: Simplify 0 into 0 1544871527.947 * [misc]backup-simplify: Simplify 1 into 1 1544871527.947 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.948 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.948 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.949 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.949 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.949 * [misc]backup-simplify: Simplify (* 0 (log n)) into 0 1544871527.949 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871527.950 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544871527.950 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871527.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.950 * [misc]backup-simplify: Simplify (- 0) into 0 1544871527.950 * [misc]backup-simplify: Simplify 0 into 0 1544871527.951 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1544871527.953 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871527.953 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.954 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871527.956 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871527.961 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871527.962 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871527.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544871527.969 * [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))) 1544871527.975 * [misc]backup-simplify: Simplify (+ (* (pow PI 1/2) (* 1/8 (* (sqrt n) (pow (log n) 2)))) (+ (* (* -1/2 (* (log PI) (sqrt PI))) (* -1/2 (* (sqrt n) (log n)))) (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow n 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) 1544871527.975 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))))) in n 1544871527.975 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) in n 1544871527.975 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871527.975 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871527.975 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (log n) 2)) in n 1544871527.975 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871527.975 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871527.975 * [misc]taylor: Taking taylor expansion of n in n 1544871527.975 * [misc]backup-simplify: Simplify 0 into 0 1544871527.975 * [misc]backup-simplify: Simplify 1 into 1 1544871527.975 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.975 * [misc]backup-simplify: Simplify PI into PI 1544871527.976 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871527.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871527.977 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.977 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.977 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1544871527.977 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.977 * [misc]taylor: Taking taylor expansion of n in n 1544871527.977 * [misc]backup-simplify: Simplify 0 into 0 1544871527.977 * [misc]backup-simplify: Simplify 1 into 1 1544871527.978 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.978 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.978 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n))))) in n 1544871527.978 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow (log PI) 2) (sqrt (* PI n)))) in n 1544871527.978 * [misc]taylor: Taking taylor expansion of 1/8 in n 1544871527.978 * [misc]backup-simplify: Simplify 1/8 into 1/8 1544871527.978 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (sqrt (* PI n))) in n 1544871527.978 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544871527.978 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.978 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.978 * [misc]backup-simplify: Simplify PI into PI 1544871527.978 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.978 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.979 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.979 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.979 * [misc]backup-simplify: Simplify PI into PI 1544871527.979 * [misc]taylor: Taking taylor expansion of n in n 1544871527.979 * [misc]backup-simplify: Simplify 0 into 0 1544871527.979 * [misc]backup-simplify: Simplify 1 into 1 1544871527.979 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.980 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.980 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.980 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (* (log PI) (log n)) (sqrt (* PI n)))) in n 1544871527.980 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544871527.980 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544871527.980 * [misc]taylor: Taking taylor expansion of (* (* (log PI) (log n)) (sqrt (* PI n))) in n 1544871527.981 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1544871527.981 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871527.981 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.981 * [misc]backup-simplify: Simplify PI into PI 1544871527.981 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871527.981 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871527.981 * [misc]taylor: Taking taylor expansion of n in n 1544871527.981 * [misc]backup-simplify: Simplify 0 into 0 1544871527.981 * [misc]backup-simplify: Simplify 1 into 1 1544871527.981 * [misc]backup-simplify: Simplify (log 1) into 0 1544871527.981 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544871527.981 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544871527.981 * [misc]taylor: Taking taylor expansion of PI in n 1544871527.981 * [misc]backup-simplify: Simplify PI into PI 1544871527.981 * [misc]taylor: Taking taylor expansion of n in n 1544871527.981 * [misc]backup-simplify: Simplify 0 into 0 1544871527.981 * [misc]backup-simplify: Simplify 1 into 1 1544871527.982 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544871527.982 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544871527.983 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871527.983 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871527.983 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.984 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.984 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1544871527.984 * [misc]backup-simplify: Simplify (* 0 (pow (log n) 2)) into 0 1544871527.985 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871527.986 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544871527.987 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1544871527.987 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1544871527.987 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.987 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1544871527.988 * [misc]backup-simplify: Simplify (* (* (log PI) (log n)) 0) into 0 1544871527.988 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1544871527.988 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.988 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871527.988 * [misc]backup-simplify: Simplify 0 into 0 1544871527.991 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871527.991 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871527.992 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (log n))) into (- (* +nan.0 (* PI (log n)))) 1544871527.992 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* PI (log n))))) (* 0 0)) into (- (* +nan.0 (* PI (log n)))) 1544871527.995 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871527.996 * [misc]backup-simplify: Simplify (+ (* (log PI) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1544871527.999 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (log PI) PI)))) (* 0 0)) into (- (* +nan.0 (* (log PI) PI))) 1544871528.000 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* PI (log n)))) (- (* +nan.0 (* (log PI) PI)))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1544871528.002 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n))))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1544871528.003 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) into (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) 1544871528.004 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871528.006 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544871528.007 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1544871528.010 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 2)) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (log PI) PI)) (- (* +nan.0 (* PI (log n)))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (* +nan.0 (* n PI))))))))) 1544871528.011 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871528.011 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in (k n) around 0 1544871528.011 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871528.011 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1544871528.011 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1544871528.011 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1544871528.011 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871528.012 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.012 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871528.012 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.012 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871528.012 * [misc]taylor: Taking taylor expansion of k in n 1544871528.012 * [misc]backup-simplify: Simplify k into k 1544871528.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871528.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.012 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871528.012 * [misc]taylor: Taking taylor expansion of PI in n 1544871528.012 * [misc]backup-simplify: Simplify PI into PI 1544871528.012 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.013 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871528.013 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871528.013 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544871528.014 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544871528.014 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871528.014 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.014 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.014 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of k in n 1544871528.014 * [misc]backup-simplify: Simplify k into k 1544871528.014 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871528.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.014 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871528.014 * [misc]taylor: Taking taylor expansion of n in n 1544871528.014 * [misc]backup-simplify: Simplify 0 into 0 1544871528.014 * [misc]backup-simplify: Simplify 1 into 1 1544871528.014 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871528.015 * [misc]backup-simplify: Simplify (log 1) into 0 1544871528.015 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871528.015 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871528.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871528.015 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871528.015 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871528.016 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871528.016 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.016 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.016 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of k in k 1544871528.016 * [misc]backup-simplify: Simplify 0 into 0 1544871528.016 * [misc]backup-simplify: Simplify 1 into 1 1544871528.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871528.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.016 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871528.016 * [misc]taylor: Taking taylor expansion of PI in k 1544871528.016 * [misc]backup-simplify: Simplify PI into PI 1544871528.017 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.017 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871528.017 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871528.017 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544871528.018 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871528.018 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871528.018 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871528.018 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871528.018 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871528.018 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.018 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871528.018 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.018 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871528.018 * [misc]taylor: Taking taylor expansion of k in k 1544871528.018 * [misc]backup-simplify: Simplify 0 into 0 1544871528.018 * [misc]backup-simplify: Simplify 1 into 1 1544871528.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871528.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.019 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871528.019 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871528.019 * [misc]taylor: Taking taylor expansion of n in k 1544871528.019 * [misc]backup-simplify: Simplify n into n 1544871528.019 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871528.019 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871528.019 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871528.019 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871528.019 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871528.019 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871528.019 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871528.019 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in k 1544871528.020 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in k 1544871528.020 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in k 1544871528.020 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871528.020 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.020 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871528.020 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.020 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.020 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871528.020 * [misc]taylor: Taking taylor expansion of k in k 1544871528.020 * [misc]backup-simplify: Simplify 0 into 0 1544871528.020 * [misc]backup-simplify: Simplify 1 into 1 1544871528.020 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871528.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.020 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871528.020 * [misc]taylor: Taking taylor expansion of PI in k 1544871528.020 * [misc]backup-simplify: Simplify PI into PI 1544871528.020 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.021 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871528.021 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871528.021 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544871528.022 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) into (pow PI (fma -1/2 (/ 1 k) 1/2)) 1544871528.022 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871528.022 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871528.022 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871528.022 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871528.022 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.022 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871528.022 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.022 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.022 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871528.022 * [misc]taylor: Taking taylor expansion of k in k 1544871528.022 * [misc]backup-simplify: Simplify 0 into 0 1544871528.022 * [misc]backup-simplify: Simplify 1 into 1 1544871528.022 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871528.022 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.022 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871528.023 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871528.023 * [misc]taylor: Taking taylor expansion of n in k 1544871528.023 * [misc]backup-simplify: Simplify n into n 1544871528.023 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871528.023 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871528.023 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871528.023 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871528.023 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871528.023 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871528.024 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871528.024 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ 1 k) 1/2)) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log PI))) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log PI)) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871528.024 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.024 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.024 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.024 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of k in n 1544871528.024 * [misc]backup-simplify: Simplify k into k 1544871528.024 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871528.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.024 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871528.024 * [misc]taylor: Taking taylor expansion of PI in n 1544871528.024 * [misc]backup-simplify: Simplify PI into PI 1544871528.025 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.025 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871528.025 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871528.025 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544871528.026 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544871528.026 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871528.026 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871528.026 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.026 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.026 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of k in n 1544871528.026 * [misc]backup-simplify: Simplify k into k 1544871528.026 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871528.026 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.026 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871528.026 * [misc]taylor: Taking taylor expansion of n in n 1544871528.026 * [misc]backup-simplify: Simplify 0 into 0 1544871528.027 * [misc]backup-simplify: Simplify 1 into 1 1544871528.027 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871528.027 * [misc]backup-simplify: Simplify (log 1) into 0 1544871528.027 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871528.027 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871528.027 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871528.027 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871528.028 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871528.028 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1544871528.028 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1544871528.029 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1544871528.029 * [misc]taylor: Taking taylor expansion of 0 in n 1544871528.029 * [misc]backup-simplify: Simplify 0 into 0 1544871528.029 * [misc]backup-simplify: Simplify 0 into 0 1544871528.029 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871528.032 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871528.032 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871528.032 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871528.032 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.033 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871528.033 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871528.034 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871528.037 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871528.037 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871528.037 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871528.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.038 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544871528.039 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871528.040 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1544871528.040 * [misc]backup-simplify: Simplify 0 into 0 1544871528.040 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1544871528.040 * [misc]taylor: Taking taylor expansion of 0 in n 1544871528.040 * [misc]backup-simplify: Simplify 0 into 0 1544871528.040 * [misc]backup-simplify: Simplify 0 into 0 1544871528.040 * [misc]backup-simplify: Simplify 0 into 0 1544871528.040 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871528.043 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871528.043 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871528.043 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871528.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871528.044 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871528.045 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871528.048 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871528.048 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871528.048 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871528.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.049 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544871528.050 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871528.051 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1544871528.051 * [misc]backup-simplify: Simplify 0 into 0 1544871528.051 * [misc]backup-simplify: Simplify (+ (* (pow PI (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1544871528.051 * [misc]taylor: Taking taylor expansion of 0 in n 1544871528.051 * [misc]backup-simplify: Simplify 0 into 0 1544871528.051 * [misc]backup-simplify: Simplify 0 into 0 1544871528.052 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1544871528.052 * [misc]backup-simplify: Simplify (* (pow PI (fma -1/2 (/ 1 (- k)) 1/2)) (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2))) into (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) 1544871528.052 * [misc]approximate: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in (k n) around 0 1544871528.052 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871528.052 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.052 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.052 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.052 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of -1 in n 1544871528.052 * [misc]backup-simplify: Simplify -1 into -1 1544871528.052 * [misc]taylor: Taking taylor expansion of k in n 1544871528.052 * [misc]backup-simplify: Simplify k into k 1544871528.052 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871528.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.052 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871528.052 * [misc]taylor: Taking taylor expansion of PI in n 1544871528.052 * [misc]backup-simplify: Simplify PI into PI 1544871528.053 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.053 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871528.053 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871528.053 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544871528.053 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544871528.053 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871528.053 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871528.053 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871528.053 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871528.053 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.053 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871528.053 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.053 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.053 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871528.053 * [misc]taylor: Taking taylor expansion of -1 in n 1544871528.053 * [misc]backup-simplify: Simplify -1 into -1 1544871528.053 * [misc]taylor: Taking taylor expansion of k in n 1544871528.053 * [misc]backup-simplify: Simplify k into k 1544871528.053 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871528.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.054 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871528.054 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871528.054 * [misc]taylor: Taking taylor expansion of -1 in n 1544871528.054 * [misc]backup-simplify: Simplify -1 into -1 1544871528.054 * [misc]taylor: Taking taylor expansion of n in n 1544871528.054 * [misc]backup-simplify: Simplify 0 into 0 1544871528.054 * [misc]backup-simplify: Simplify 1 into 1 1544871528.054 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871528.054 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871528.054 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871528.054 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871528.054 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871528.054 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871528.055 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871528.055 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871528.055 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.055 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.055 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.055 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of -1 in k 1544871528.055 * [misc]backup-simplify: Simplify -1 into -1 1544871528.055 * [misc]taylor: Taking taylor expansion of k in k 1544871528.055 * [misc]backup-simplify: Simplify 0 into 0 1544871528.055 * [misc]backup-simplify: Simplify 1 into 1 1544871528.055 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871528.055 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.055 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871528.055 * [misc]taylor: Taking taylor expansion of PI in k 1544871528.055 * [misc]backup-simplify: Simplify PI into PI 1544871528.055 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.055 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871528.056 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871528.056 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871528.056 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871528.056 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871528.056 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871528.056 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871528.056 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871528.056 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.056 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871528.056 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.056 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.056 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871528.056 * [misc]taylor: Taking taylor expansion of -1 in k 1544871528.056 * [misc]backup-simplify: Simplify -1 into -1 1544871528.056 * [misc]taylor: Taking taylor expansion of k in k 1544871528.056 * [misc]backup-simplify: Simplify 0 into 0 1544871528.056 * [misc]backup-simplify: Simplify 1 into 1 1544871528.057 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871528.057 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.057 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of -1 in k 1544871528.057 * [misc]backup-simplify: Simplify -1 into -1 1544871528.057 * [misc]taylor: Taking taylor expansion of n in k 1544871528.057 * [misc]backup-simplify: Simplify n into n 1544871528.057 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871528.057 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871528.057 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871528.057 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871528.057 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871528.057 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871528.057 * [misc]taylor: Taking taylor expansion of (* (pow PI (fma -1/2 (/ -1 k) 1/2)) (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2))) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of (pow PI (fma -1/2 (/ -1 k) 1/2)) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log PI)) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871528.057 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.057 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.057 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.057 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871528.057 * [misc]taylor: Taking taylor expansion of -1 in k 1544871528.057 * [misc]backup-simplify: Simplify -1 into -1 1544871528.057 * [misc]taylor: Taking taylor expansion of k in k 1544871528.057 * [misc]backup-simplify: Simplify 0 into 0 1544871528.057 * [misc]backup-simplify: Simplify 1 into 1 1544871528.058 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871528.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.058 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544871528.058 * [misc]taylor: Taking taylor expansion of PI in k 1544871528.058 * [misc]backup-simplify: Simplify PI into PI 1544871528.058 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.058 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871528.058 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871528.058 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544871528.059 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log PI))) into (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 1544871528.059 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871528.059 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.059 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871528.059 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.059 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of -1 in k 1544871528.059 * [misc]backup-simplify: Simplify -1 into -1 1544871528.059 * [misc]taylor: Taking taylor expansion of k in k 1544871528.059 * [misc]backup-simplify: Simplify 0 into 0 1544871528.059 * [misc]backup-simplify: Simplify 1 into 1 1544871528.059 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871528.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871528.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.059 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871528.059 * [misc]taylor: Taking taylor expansion of -1 in k 1544871528.059 * [misc]backup-simplify: Simplify -1 into -1 1544871528.059 * [misc]taylor: Taking taylor expansion of n in k 1544871528.059 * [misc]backup-simplify: Simplify n into n 1544871528.059 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871528.059 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871528.059 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871528.059 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871528.060 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871528.060 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871528.060 * [misc]backup-simplify: Simplify (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) 1544871528.060 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871528.060 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871528.060 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871528.060 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871528.060 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871528.060 * [misc]taylor: Taking taylor expansion of -1 in n 1544871528.060 * [misc]backup-simplify: Simplify -1 into -1 1544871528.060 * [misc]taylor: Taking taylor expansion of n in n 1544871528.060 * [misc]backup-simplify: Simplify 0 into 0 1544871528.060 * [misc]backup-simplify: Simplify 1 into 1 1544871528.060 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871528.060 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871528.060 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871528.060 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.061 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871528.061 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.061 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.061 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871528.061 * [misc]taylor: Taking taylor expansion of -1 in n 1544871528.061 * [misc]backup-simplify: Simplify -1 into -1 1544871528.061 * [misc]taylor: Taking taylor expansion of k in n 1544871528.061 * [misc]backup-simplify: Simplify k into k 1544871528.061 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871528.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.061 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871528.061 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871528.061 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871528.061 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871528.061 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871528.061 * [misc]taylor: Taking taylor expansion of (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871528.061 * [misc]taylor: Taking taylor expansion of (* (log PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871528.062 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544871528.062 * [misc]taylor: Taking taylor expansion of PI in n 1544871528.062 * [misc]backup-simplify: Simplify PI into PI 1544871528.062 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544871528.062 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871528.062 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871528.062 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871528.062 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871528.062 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871528.062 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871528.062 * [misc]taylor: Taking taylor expansion of -1 in n 1544871528.062 * [misc]backup-simplify: Simplify -1 into -1 1544871528.062 * [misc]taylor: Taking taylor expansion of k in n 1544871528.062 * [misc]backup-simplify: Simplify k into k 1544871528.062 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871528.062 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871528.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871528.062 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871528.062 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871528.062 * [misc]backup-simplify: Simplify (* (log PI) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544871528.063 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544871528.063 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544871528.064 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1544871528.064 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))) into 0 1544871528.064 * [misc]taylor: Taking taylor expansion of 0 in n 1544871528.064 * [misc]backup-simplify: Simplify 0 into 0 1544871528.064 * [misc]backup-simplify: Simplify 0 into 0 1544871528.064 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871528.064 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871528.064 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.066 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544871528.066 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871528.068 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871528.068 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871528.068 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871528.068 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871528.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.069 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871528.071 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871528.072 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871528.073 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871528.074 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871528.074 * [misc]backup-simplify: Simplify 0 into 0 1544871528.075 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))))) into 0 1544871528.075 * [misc]taylor: Taking taylor expansion of 0 in n 1544871528.075 * [misc]backup-simplify: Simplify 0 into 0 1544871528.075 * [misc]backup-simplify: Simplify 0 into 0 1544871528.075 * [misc]backup-simplify: Simplify 0 into 0 1544871528.077 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871528.077 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871528.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.083 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544871528.084 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871528.086 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871528.086 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871528.086 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871528.087 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871528.087 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871528.087 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871528.092 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871528.093 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (+ (* 0 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871528.095 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871528.096 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1544871528.096 * [misc]backup-simplify: Simplify 0 into 0 1544871528.097 * [misc]backup-simplify: Simplify (+ (* (exp (* (log PI) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))))))) into 0 1544871528.097 * [misc]taylor: Taking taylor expansion of 0 in n 1544871528.097 * [misc]backup-simplify: Simplify 0 into 0 1544871528.097 * [misc]backup-simplify: Simplify 0 into 0 1544871528.097 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1544871528.097 * * * [misc]progress: simplifying candidates 1544871528.098 * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # 1544871528.098 * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # 1544871528.098 * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # 1544871528.098 * * * * [misc]progress: [ 4 / 92 ] simplifiying candidate # 1544871528.098 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1544871528.099 * * [misc]simplify: iters left: 2 (5 enodes) 1544871528.101 * * [misc]simplify: iters left: 1 (7 enodes) 1544871528.103 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1544871528.103 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))))) (sqrt k))) 1544871528.103 * * * * [misc]progress: [ 5 / 92 ] simplifiying candidate # 1544871528.104 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1544871528.104 * * [misc]simplify: iters left: 2 (5 enodes) 1544871528.106 * * [misc]simplify: iters left: 1 (7 enodes) 1544871528.109 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1544871528.109 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))))) (sqrt k))) 1544871528.109 * * * * [misc]progress: [ 6 / 92 ] simplifiying candidate # 1544871528.109 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871528.110 * * [misc]simplify: iters left: 1 (4 enodes) 1544871528.111 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871528.111 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow (pow n 1) (fma -1/2 k 1/2)))) (sqrt k))) 1544871528.111 * * * * [misc]progress: [ 7 / 92 ] simplifiying candidate # 1544871528.112 * [enter]simplify: Simplifying (pow n 1/2) 1544871528.112 * * [misc]simplify: iters left: 1 (3 enodes) 1544871528.113 * [exit]simplify: Simplified to (sqrt n) 1544871528.113 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (* (pow n (* -1/2 k)) (sqrt n)))) (sqrt k))) 1544871528.113 * * * * [misc]progress: [ 8 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 9 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 10 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 11 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 12 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 13 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 14 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 15 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 16 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 17 / 92 ] simplifiying candidate # 1544871528.114 * * * * [misc]progress: [ 18 / 92 ] simplifiying candidate # 1544871528.115 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1544871528.115 * * [misc]simplify: iters left: 2 (5 enodes) 1544871528.117 * * [misc]simplify: iters left: 1 (7 enodes) 1544871528.120 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1544871528.120 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow (pow PI (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871528.120 * * * * [misc]progress: [ 19 / 92 ] simplifiying candidate # 1544871528.120 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1544871528.121 * * [misc]simplify: iters left: 2 (5 enodes) 1544871528.123 * * [misc]simplify: iters left: 1 (7 enodes) 1544871528.126 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1544871528.126 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow (pow PI (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871528.126 * * * * [misc]progress: [ 20 / 92 ] simplifiying candidate # 1544871528.126 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871528.126 * * [misc]simplify: iters left: 1 (4 enodes) 1544871528.128 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871528.128 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow (pow PI 1) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871528.128 * * * * [misc]progress: [ 21 / 92 ] simplifiying candidate # 1544871528.129 * [enter]simplify: Simplifying (pow PI 1/2) 1544871528.129 * * [misc]simplify: iters left: 1 (3 enodes) 1544871528.130 * [exit]simplify: Simplified to (sqrt PI) 1544871528.130 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (* -1/2 k)) (sqrt PI)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871528.130 * * * * [misc]progress: [ 22 / 92 ] simplifiying candidate # 1544871528.130 * * * * [misc]progress: [ 23 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 24 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 25 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 26 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 27 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 28 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 29 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 30 / 92 ] simplifiying candidate # 1544871528.131 * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # 1544871528.131 * [enter]simplify: Simplifying (* 2 (* PI n)) 1544871528.132 * * [misc]simplify: iters left: 4 (5 enodes) 1544871528.134 * * [misc]simplify: iters left: 3 (9 enodes) 1544871528.139 * * [misc]simplify: iters left: 2 (15 enodes) 1544871528.144 * * [misc]simplify: iters left: 1 (17 enodes) 1544871528.150 * [exit]simplify: Simplified to (* (* n PI) 2) 1544871528.150 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n PI) 2) (fma -1/2 k 1/2)) (sqrt k))) 1544871528.150 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871528.150 * * [misc]simplify: iters left: 1 (4 enodes) 1544871528.152 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871528.152 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* 2 (* PI n)) (fma -1/2 k 1/2)) (sqrt k))) 1544871528.152 * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # 1544871528.152 * * * * [misc]progress: [ 33 / 92 ] simplifiying candidate # 1544871528.153 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (* (log PI) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2)))) 1544871528.154 * * [misc]simplify: iters left: 6 (15 enodes) 1544871528.162 * * [misc]simplify: iters left: 5 (28 enodes) 1544871528.180 * * [misc]simplify: iters left: 4 (70 enodes) 1544871528.211 * * [misc]simplify: iters left: 3 (203 enodes) 1544871528.393 * [exit]simplify: Simplified to (fma (+ (log PI) (log n)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log 2))) 1544871528.393 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log n)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log 2)))) (sqrt k))) 1544871528.394 * * * * [misc]progress: [ 34 / 92 ] simplifiying candidate # 1544871528.394 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (* (log PI) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2))))) 1544871528.395 * * [misc]simplify: iters left: 6 (15 enodes) 1544871528.399 * * [misc]simplify: iters left: 5 (27 enodes) 1544871528.409 * * [misc]simplify: iters left: 4 (59 enodes) 1544871528.438 * * [misc]simplify: iters left: 3 (168 enodes) 1544871528.563 * * [misc]simplify: iters left: 2 (472 enodes) 1544871528.961 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log n) (log PI)) (* (fma -1/2 k 1/2) (log 2))) 1544871528.961 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma -1/2 k 1/2) (+ (log n) (log PI)) (* (fma -1/2 k 1/2) (log 2)))) (sqrt k))) 1544871528.961 * * * * [misc]progress: [ 35 / 92 ] simplifiying candidate # 1544871528.962 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (log (pow PI (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2)))) 1544871528.964 * * [misc]simplify: iters left: 6 (15 enodes) 1544871528.972 * * [misc]simplify: iters left: 5 (26 enodes) 1544871528.987 * * [misc]simplify: iters left: 4 (59 enodes) 1544871529.032 * * [misc]simplify: iters left: 3 (168 enodes) 1544871529.146 * * [misc]simplify: iters left: 2 (449 enodes) 1544871529.610 * [exit]simplify: Simplified to (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) 1544871529.610 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1544871529.610 * * * * [misc]progress: [ 36 / 92 ] simplifiying candidate # 1544871529.611 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (+ (log (pow PI (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2))))) 1544871529.611 * * [misc]simplify: iters left: 6 (15 enodes) 1544871529.615 * * [misc]simplify: iters left: 5 (27 enodes) 1544871529.623 * * [misc]simplify: iters left: 4 (54 enodes) 1544871529.652 * * [misc]simplify: iters left: 3 (139 enodes) 1544871529.736 * * [misc]simplify: iters left: 2 (390 enodes) 1544871530.170 * [exit]simplify: Simplified to (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n))) 1544871530.170 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log 2)) (fma -1/2 k 1/2) (* (fma -1/2 k 1/2) (log n)))) (sqrt k))) 1544871530.171 * * * * [misc]progress: [ 37 / 92 ] simplifiying candidate # 1544871530.171 * [enter]simplify: Simplifying (+ (* (log 2) (fma -1/2 k 1/2)) (log (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1544871530.172 * * [misc]simplify: iters left: 6 (14 enodes) 1544871530.176 * * [misc]simplify: iters left: 5 (23 enodes) 1544871530.183 * * [misc]simplify: iters left: 4 (41 enodes) 1544871530.195 * * [misc]simplify: iters left: 3 (86 enodes) 1544871530.234 * * [misc]simplify: iters left: 2 (191 enodes) 1544871530.401 * * [misc]simplify: iters left: 1 (486 enodes) 1544871530.810 * [exit]simplify: Simplified to (fma (+ (log 2) (log PI)) (fma -1/2 k 1/2) (* (log n) (fma -1/2 k 1/2))) 1544871530.810 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log PI)) (fma -1/2 k 1/2) (* (log n) (fma -1/2 k 1/2)))) (sqrt k))) 1544871530.810 * * * * [misc]progress: [ 38 / 92 ] simplifiying candidate # 1544871530.811 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (* (log PI) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2)))) 1544871530.812 * * [misc]simplify: iters left: 6 (15 enodes) 1544871530.816 * * [misc]simplify: iters left: 5 (28 enodes) 1544871530.824 * * [misc]simplify: iters left: 4 (64 enodes) 1544871530.864 * * [misc]simplify: iters left: 3 (175 enodes) 1544871530.990 * * [misc]simplify: iters left: 2 (481 enodes) 1544871531.531 * [exit]simplify: Simplified to (fma (+ (log PI) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log 2))) 1544871531.531 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log PI) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log 2)))) (sqrt k))) 1544871531.532 * * * * [misc]progress: [ 39 / 92 ] simplifiying candidate # 1544871531.532 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (* (log PI) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2))))) 1544871531.533 * * [misc]simplify: iters left: 6 (15 enodes) 1544871531.541 * * [misc]simplify: iters left: 5 (27 enodes) 1544871531.553 * * [misc]simplify: iters left: 4 (53 enodes) 1544871531.593 * * [misc]simplify: iters left: 3 (140 enodes) 1544871531.715 * * [misc]simplify: iters left: 2 (411 enodes) 1544871532.105 * [exit]simplify: Simplified to (fma (+ (log 2) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log PI))) 1544871532.105 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log n)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log PI)))) (sqrt k))) 1544871532.105 * * * * [misc]progress: [ 40 / 92 ] simplifiying candidate # 1544871532.105 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (log (pow PI (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2)))) 1544871532.107 * * [misc]simplify: iters left: 6 (15 enodes) 1544871532.114 * * [misc]simplify: iters left: 5 (26 enodes) 1544871532.128 * * [misc]simplify: iters left: 4 (53 enodes) 1544871532.165 * * [misc]simplify: iters left: 3 (140 enodes) 1544871532.256 * * [misc]simplify: iters left: 2 (403 enodes) 1544871532.679 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2))) 1544871532.679 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log 2) (log PI)) (* (log n) (fma k -1/2 1/2)))) (sqrt k))) 1544871532.679 * * * * [misc]progress: [ 41 / 92 ] simplifiying candidate # 1544871532.679 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (+ (log (pow PI (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2))))) 1544871532.680 * * [misc]simplify: iters left: 6 (15 enodes) 1544871532.684 * * [misc]simplify: iters left: 5 (27 enodes) 1544871532.694 * * [misc]simplify: iters left: 4 (48 enodes) 1544871532.716 * * [misc]simplify: iters left: 3 (112 enodes) 1544871532.816 * * [misc]simplify: iters left: 2 (330 enodes) 1544871533.276 * [exit]simplify: Simplified to (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log n))) 1544871533.276 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (+ (log 2) (log PI)) (fma k -1/2 1/2) (* (fma k -1/2 1/2) (log n)))) (sqrt k))) 1544871533.277 * * * * [misc]progress: [ 42 / 92 ] simplifiying candidate # 1544871533.277 * [enter]simplify: Simplifying (+ (log (pow 2 (fma -1/2 k 1/2))) (log (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1544871533.278 * * [misc]simplify: iters left: 6 (14 enodes) 1544871533.289 * * [misc]simplify: iters left: 5 (23 enodes) 1544871533.299 * * [misc]simplify: iters left: 4 (36 enodes) 1544871533.317 * * [misc]simplify: iters left: 3 (66 enodes) 1544871533.366 * * [misc]simplify: iters left: 2 (179 enodes) 1544871533.578 * [exit]simplify: Simplified to (fma (fma k -1/2 1/2) (+ (log n) (log PI)) (* (fma k -1/2 1/2) (log 2))) 1544871533.578 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (fma (fma k -1/2 1/2) (+ (log n) (log PI)) (* (fma k -1/2 1/2) (log 2)))) (sqrt k))) 1544871533.578 * * * * [misc]progress: [ 43 / 92 ] simplifiying candidate # 1544871533.578 * * * * [misc]progress: [ 44 / 92 ] simplifiying candidate # 1544871533.578 * * * * [misc]progress: [ 45 / 92 ] simplifiying candidate # 1544871533.578 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) 1544871533.580 * * [misc]simplify: iters left: 6 (18 enodes) 1544871533.589 * * [misc]simplify: iters left: 5 (33 enodes) 1544871533.608 * * [misc]simplify: iters left: 4 (101 enodes) 1544871533.676 * * [misc]simplify: iters left: 3 (293 enodes) 1544871534.029 * [exit]simplify: Simplified to (* (* (* (pow PI (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))) (* (pow (pow 2 (fma k -1/2 1/2)) 3) (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))))) 1544871534.029 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow PI (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2)))) (* (pow (pow 2 (fma k -1/2 1/2)) 3) (* (pow PI (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))))) (sqrt k))) 1544871534.030 * * * * [misc]progress: [ 46 / 92 ] simplifiying candidate # 1544871534.030 * [enter]simplify: Simplifying (* (* (* (pow 2 (fma -1/2 k 1/2)) (pow 2 (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (* (* (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) 1544871534.032 * * [misc]simplify: iters left: 6 (16 enodes) 1544871534.040 * * [misc]simplify: iters left: 5 (32 enodes) 1544871534.061 * * [misc]simplify: iters left: 4 (87 enodes) 1544871534.102 * * [misc]simplify: iters left: 3 (252 enodes) 1544871534.448 * [exit]simplify: Simplified to (* (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (pow (pow 2 (fma k -1/2 1/2)) 3)) (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))))) 1544871534.448 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (pow (pow 2 (fma k -1/2 1/2)) 3)) (* (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))))) (sqrt k))) 1544871534.448 * * * * [misc]progress: [ 47 / 92 ] simplifiying candidate # 1544871534.448 * * * * [misc]progress: [ 48 / 92 ] simplifiying candidate # 1544871534.448 * * * * [misc]progress: [ 49 / 92 ] simplifiying candidate # 1544871534.448 * * * * [misc]progress: [ 50 / 92 ] simplifiying candidate # 1544871534.448 * * * * [misc]progress: [ 51 / 92 ] simplifiying candidate # 1544871534.448 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1544871534.449 * * [misc]simplify: iters left: 2 (6 enodes) 1544871534.451 * * [misc]simplify: iters left: 1 (8 enodes) 1544871534.454 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1544871534.454 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871534.454 * * * * [misc]progress: [ 52 / 92 ] simplifiying candidate # 1544871534.455 * [enter]simplify: Simplifying (pow 2 (* -1/2 k)) 1544871534.455 * * [misc]simplify: iters left: 3 (5 enodes) 1544871534.457 * * [misc]simplify: iters left: 2 (6 enodes) 1544871534.459 * [exit]simplify: Simplified to (pow 2 (* k -1/2)) 1544871534.459 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow 2 (* k -1/2)) (* (pow 2 1/2) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1544871534.459 * * * * [misc]progress: [ 53 / 92 ] simplifiying candidate # 1544871534.459 * [enter]simplify: Simplifying (* (cbrt (pow 2 (fma -1/2 k 1/2))) (cbrt (pow 2 (fma -1/2 k 1/2)))) 1544871534.460 * * [misc]simplify: iters left: 5 (8 enodes) 1544871534.462 * * [misc]simplify: iters left: 4 (10 enodes) 1544871534.466 * * [misc]simplify: iters left: 3 (12 enodes) 1544871534.470 * * [misc]simplify: iters left: 2 (13 enodes) 1544871534.474 * [exit]simplify: Simplified to (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) 1544871534.474 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow 2 (fma k -1/2 1/2))) (cbrt (pow 2 (fma k -1/2 1/2)))) (* (cbrt (pow 2 (fma -1/2 k 1/2))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1544871534.474 * * * * [misc]progress: [ 54 / 92 ] simplifiying candidate # 1544871534.474 * [enter]simplify: Simplifying (sqrt (pow 2 (fma -1/2 k 1/2))) 1544871534.475 * * [misc]simplify: iters left: 3 (7 enodes) 1544871534.477 * * [misc]simplify: iters left: 2 (9 enodes) 1544871534.481 * * [misc]simplify: iters left: 1 (11 enodes) 1544871534.484 * [exit]simplify: Simplified to (sqrt (pow 2 (fma k -1/2 1/2))) 1544871534.484 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow 2 (fma k -1/2 1/2))) (* (sqrt (pow 2 (fma -1/2 k 1/2))) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1544871534.484 * * * * [misc]progress: [ 55 / 92 ] simplifiying candidate # 1544871534.485 * * * * [misc]progress: [ 56 / 92 ] simplifiying candidate # 1544871534.485 * * * * [misc]progress: [ 57 / 92 ] simplifiying candidate # 1544871534.485 * * * * [misc]progress: [ 58 / 92 ] simplifiying candidate # 1544871534.485 * * * * [misc]progress: [ 59 / 92 ] simplifiying candidate # 1544871534.485 * [enter]simplify: Simplifying (* PI n) 1544871534.485 * * [misc]simplify: iters left: 2 (3 enodes) 1544871534.487 * * [misc]simplify: iters left: 1 (4 enodes) 1544871534.488 * [exit]simplify: Simplified to (* PI n) 1544871534.488 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))) 1544871534.488 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871534.489 * * [misc]simplify: iters left: 1 (4 enodes) 1544871534.490 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871534.490 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (pow (* PI n) (fma -1/2 k 1/2))) (sqrt k))) 1544871534.490 * * * * [misc]progress: [ 60 / 92 ] simplifiying candidate # 1544871534.490 * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # 1544871534.491 * [enter]simplify: Simplifying (+ (* (log PI) (fma -1/2 k 1/2)) (* (log n) (fma -1/2 k 1/2))) 1544871534.492 * * [misc]simplify: iters left: 5 (11 enodes) 1544871534.496 * * [misc]simplify: iters left: 4 (19 enodes) 1544871534.506 * * [misc]simplify: iters left: 3 (39 enodes) 1544871534.527 * * [misc]simplify: iters left: 2 (88 enodes) 1544871534.564 * * [misc]simplify: iters left: 1 (168 enodes) 1544871534.658 * [exit]simplify: Simplified to (* (+ (log PI) (log n)) (fma -1/2 k 1/2)) 1544871534.659 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (+ (log PI) (log n)) (fma -1/2 k 1/2)))) (sqrt k))) 1544871534.659 * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # 1544871534.659 * [enter]simplify: Simplifying (+ (* (log PI) (fma -1/2 k 1/2)) (log (pow n (fma -1/2 k 1/2)))) 1544871534.660 * * [misc]simplify: iters left: 5 (11 enodes) 1544871534.665 * * [misc]simplify: iters left: 4 (18 enodes) 1544871534.674 * * [misc]simplify: iters left: 3 (33 enodes) 1544871534.691 * * [misc]simplify: iters left: 2 (64 enodes) 1544871534.732 * * [misc]simplify: iters left: 1 (152 enodes) 1544871534.808 * [exit]simplify: Simplified to (* (+ (log PI) (log n)) (fma -1/2 k 1/2)) 1544871534.808 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (+ (log PI) (log n)) (fma -1/2 k 1/2)))) (sqrt k))) 1544871534.808 * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # 1544871534.809 * [enter]simplify: Simplifying (+ (log (pow PI (fma -1/2 k 1/2))) (* (log n) (fma -1/2 k 1/2))) 1544871534.810 * * [misc]simplify: iters left: 5 (11 enodes) 1544871534.814 * * [misc]simplify: iters left: 4 (17 enodes) 1544871534.823 * * [misc]simplify: iters left: 3 (33 enodes) 1544871534.843 * * [misc]simplify: iters left: 2 (64 enodes) 1544871534.884 * * [misc]simplify: iters left: 1 (153 enodes) 1544871534.977 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (+ (log PI) (log n))) 1544871534.977 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (fma k -1/2 1/2) (+ (log PI) (log n))))) (sqrt k))) 1544871534.977 * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # 1544871534.978 * [enter]simplify: Simplifying (+ (log (pow PI (fma -1/2 k 1/2))) (log (pow n (fma -1/2 k 1/2)))) 1544871534.979 * * [misc]simplify: iters left: 5 (11 enodes) 1544871534.983 * * [misc]simplify: iters left: 4 (18 enodes) 1544871534.990 * * [misc]simplify: iters left: 3 (28 enodes) 1544871535.001 * * [misc]simplify: iters left: 2 (48 enodes) 1544871535.027 * * [misc]simplify: iters left: 1 (112 enodes) 1544871535.106 * [exit]simplify: Simplified to (* (fma k -1/2 1/2) (+ (log n) (log PI))) 1544871535.106 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (exp (* (fma k -1/2 1/2) (+ (log n) (log PI))))) (sqrt k))) 1544871535.106 * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # 1544871535.106 * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # 1544871535.106 * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # 1544871535.106 * [enter]simplify: Simplifying (* (* (* (pow PI (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow PI (fma -1/2 k 1/2))) (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2)))) 1544871535.108 * * [misc]simplify: iters left: 6 (13 enodes) 1544871535.114 * * [misc]simplify: iters left: 5 (22 enodes) 1544871535.127 * * [misc]simplify: iters left: 4 (49 enodes) 1544871535.150 * * [misc]simplify: iters left: 3 (83 enodes) 1544871535.180 * * [misc]simplify: iters left: 2 (105 enodes) 1544871535.216 * * [misc]simplify: iters left: 1 (108 enodes) 1544871535.248 * [exit]simplify: Simplified to (pow (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 3) 1544871535.248 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (cbrt (pow (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 3))) (sqrt k))) 1544871535.248 * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # 1544871535.248 * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # 1544871535.248 * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # 1544871535.248 * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # 1544871535.248 * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # 1544871535.249 * [enter]simplify: Simplifying (pow n 1/2) 1544871535.249 * * [misc]simplify: iters left: 1 (3 enodes) 1544871535.250 * [exit]simplify: Simplified to (sqrt n) 1544871535.250 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) (pow n (* -1/2 k))) (sqrt n))) (sqrt k))) 1544871535.250 * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # 1544871535.251 * [enter]simplify: Simplifying (cbrt (pow n (fma -1/2 k 1/2))) 1544871535.251 * * [misc]simplify: iters left: 3 (7 enodes) 1544871535.254 * * [misc]simplify: iters left: 2 (9 enodes) 1544871535.258 * * [misc]simplify: iters left: 1 (11 enodes) 1544871535.262 * [exit]simplify: Simplified to (cbrt (pow n (fma k -1/2 1/2))) 1544871535.262 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2))))) (cbrt (pow n (fma k -1/2 1/2))))) (sqrt k))) 1544871535.262 * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # 1544871535.262 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1544871535.263 * * [misc]simplify: iters left: 3 (7 enodes) 1544871535.265 * * [misc]simplify: iters left: 2 (9 enodes) 1544871535.268 * * [misc]simplify: iters left: 1 (11 enodes) 1544871535.272 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1544871535.272 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) (sqrt (pow n (fma -1/2 k 1/2)))) (sqrt (pow n (fma k -1/2 1/2))))) (sqrt k))) 1544871535.272 * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # 1544871535.273 * [enter]simplify: Simplifying (pow n (fma -1/2 k 1/2)) 1544871535.273 * * [misc]simplify: iters left: 2 (6 enodes) 1544871535.275 * * [misc]simplify: iters left: 1 (8 enodes) 1544871535.278 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1544871535.278 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (pow PI (fma -1/2 k 1/2)) 1) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871535.278 * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # 1544871535.279 * [enter]simplify: Simplifying (pow PI (* -1/2 k)) 1544871535.279 * * [misc]simplify: iters left: 3 (5 enodes) 1544871535.281 * * [misc]simplify: iters left: 2 (6 enodes) 1544871535.283 * [exit]simplify: Simplified to (pow PI (* k -1/2)) 1544871535.283 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (* k -1/2)) (* (pow PI 1/2) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1544871535.283 * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # 1544871535.283 * [enter]simplify: Simplifying (* (cbrt (pow PI (fma -1/2 k 1/2))) (cbrt (pow PI (fma -1/2 k 1/2)))) 1544871535.284 * * [misc]simplify: iters left: 5 (8 enodes) 1544871535.287 * * [misc]simplify: iters left: 4 (10 enodes) 1544871535.291 * * [misc]simplify: iters left: 3 (12 enodes) 1544871535.295 * * [misc]simplify: iters left: 2 (13 enodes) 1544871535.299 * [exit]simplify: Simplified to (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) 1544871535.299 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (* (cbrt (pow PI (fma k -1/2 1/2))) (cbrt (pow PI (fma k -1/2 1/2)))) (* (cbrt (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1544871535.299 * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # 1544871535.300 * [enter]simplify: Simplifying (sqrt (pow PI (fma -1/2 k 1/2))) 1544871535.300 * * [misc]simplify: iters left: 3 (7 enodes) 1544871535.303 * * [misc]simplify: iters left: 2 (9 enodes) 1544871535.307 * * [misc]simplify: iters left: 1 (11 enodes) 1544871535.311 * [exit]simplify: Simplified to (sqrt (pow PI (fma k -1/2 1/2))) 1544871535.311 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (sqrt (pow PI (fma k -1/2 1/2))) (* (sqrt (pow PI (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))))) (sqrt k))) 1544871535.311 * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # 1544871535.311 * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # 1544871535.311 * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # 1544871535.312 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1544871535.313 * * [misc]simplify: iters left: 6 (18 enodes) 1544871535.324 * * [misc]simplify: iters left: 5 (39 enodes) 1544871535.349 * * [misc]simplify: iters left: 4 (119 enodes) 1544871535.416 * * [misc]simplify: iters left: 3 (334 enodes) 1544871535.621 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1544871535.621 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))))) (sqrt k))) 1544871535.621 * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # 1544871535.621 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1544871535.622 * * [misc]simplify: iters left: 6 (12 enodes) 1544871535.626 * * [misc]simplify: iters left: 5 (28 enodes) 1544871535.636 * * [misc]simplify: iters left: 4 (67 enodes) 1544871535.659 * * [misc]simplify: iters left: 3 (180 enodes) 1544871535.809 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1544871535.809 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871535.809 * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # 1544871535.810 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1544871535.811 * * [misc]simplify: iters left: 6 (12 enodes) 1544871535.817 * * [misc]simplify: iters left: 5 (22 enodes) 1544871535.830 * * [misc]simplify: iters left: 4 (52 enodes) 1544871535.869 * * [misc]simplify: iters left: 3 (149 enodes) 1544871535.977 * * [misc]simplify: iters left: 2 (453 enodes) 1544871536.839 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1544871536.839 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma k -1/2 1/2)))) (sqrt k))) 1544871536.839 * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # 1544871536.839 * [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)))) 1544871536.840 * * [misc]simplify: iters left: 6 (18 enodes) 1544871536.845 * * [misc]simplify: iters left: 5 (39 enodes) 1544871536.859 * * [misc]simplify: iters left: 4 (110 enodes) 1544871536.934 * * [misc]simplify: iters left: 3 (321 enodes) 1544871537.294 * [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))) 1544871537.294 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871537.295 * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # 1544871537.295 * [enter]simplify: Simplifying (pow PI (fma -1/2 k 1/2)) 1544871537.295 * * [misc]simplify: iters left: 2 (6 enodes) 1544871537.296 * * [misc]simplify: iters left: 1 (8 enodes) 1544871537.298 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1544871537.298 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871537.298 * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # 1544871537.298 * [enter]simplify: Simplifying (exp (* (log PI) (fma -1/2 k 1/2))) 1544871537.299 * * [misc]simplify: iters left: 4 (8 enodes) 1544871537.301 * * [misc]simplify: iters left: 3 (14 enodes) 1544871537.303 * * [misc]simplify: iters left: 2 (22 enodes) 1544871537.314 * * [misc]simplify: iters left: 1 (41 enodes) 1544871537.325 * [exit]simplify: Simplified to (pow PI (fma -1/2 k 1/2)) 1544871537.325 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))) (sqrt k))) 1544871537.325 * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # 1544871537.325 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log 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) (* (pow n 2) (pow PI 2))))))))))))) 1544871537.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1544871537.325 * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # 1544871537.326 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1544871537.327 * * [misc]simplify: iters left: 6 (20 enodes) 1544871537.333 * * [misc]simplify: iters left: 5 (44 enodes) 1544871537.347 * * [misc]simplify: iters left: 4 (97 enodes) 1544871537.402 * * [misc]simplify: iters left: 3 (262 enodes) 1544871537.663 * [exit]simplify: Simplified to (* (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) 1544871537.663 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (pow 2 (fma -1/2 k 1/2))) (sqrt k))) 1544871537.663 * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # 1544871537.663 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1544871537.665 * * [misc]simplify: iters left: 6 (20 enodes) 1544871537.670 * * [misc]simplify: iters left: 5 (38 enodes) 1544871537.682 * * [misc]simplify: iters left: 4 (82 enodes) 1544871537.733 * * [misc]simplify: iters left: 3 (219 enodes) 1544871537.908 * [exit]simplify: Simplified to (* (exp (* (fma k -1/2 1/2) (log n))) (* (pow 2 (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) 1544871537.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (exp (* (fma k -1/2 1/2) (log n))) (* (pow 2 (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (sqrt k))) 1544871537.908 * * * * [misc]progress: [ 90 / 92 ] simplifiying candidate # 1544871537.908 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* n (* PI (* (log PI) k)))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* n (* PI (* (log n) k)))) (- (* +nan.0 (* n PI))))))))) 1544871537.908 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) +nan.0) (sqrt k))) 1544871537.908 * * * * [misc]progress: [ 91 / 92 ] simplifiying candidate # 1544871537.909 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1544871537.910 * * [misc]simplify: iters left: 6 (15 enodes) 1544871537.920 * * [misc]simplify: iters left: 5 (32 enodes) 1544871537.938 * * [misc]simplify: iters left: 4 (71 enodes) 1544871537.986 * * [misc]simplify: iters left: 3 (188 enodes) 1544871538.122 * * [misc]simplify: iters left: 2 (457 enodes) 1544871538.558 * [exit]simplify: Simplified to (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1544871538.559 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))) (sqrt k))) 1544871538.559 * * * * [misc]progress: [ 92 / 92 ] simplifiying candidate # 1544871538.559 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1544871538.560 * * [misc]simplify: iters left: 6 (15 enodes) 1544871538.564 * * [misc]simplify: iters left: 5 (26 enodes) 1544871538.572 * * [misc]simplify: iters left: 4 (56 enodes) 1544871538.595 * * [misc]simplify: iters left: 3 (153 enodes) 1544871538.700 * * [misc]simplify: iters left: 2 (465 enodes) 1544871539.839 * [exit]simplify: Simplified to (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2))) 1544871539.839 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow 2 (fma -1/2 k 1/2)) (* (pow n (fma k -1/2 1/2)) (pow PI (fma k -1/2 1/2)))) (sqrt k))) 1544871539.839 * * * [misc]progress: adding candidates to table 1544871542.161 * * [misc]progress: iteration 4 / 4 1544871542.161 * * * [misc]progress: picking best candidate 1544871542.200 * * * * [misc]pick: Picked # 1544871542.200 * * * [misc]progress: localizing error 1544871542.214 * * * [misc]progress: generating rewritten candidates 1544871542.214 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544871542.221 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1544871542.234 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544871542.339 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544871542.402 * * * [misc]progress: generating series expansions 1544871542.402 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544871542.402 * [misc]backup-simplify: Simplify (pow n (fma -1/2 k 1/2)) into (pow n (fma -1/2 k 1/2)) 1544871542.402 * [misc]approximate: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in (n k) around 0 1544871542.402 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871542.402 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871542.402 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871542.402 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.402 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.402 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.403 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.403 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.403 * [misc]taylor: Taking taylor expansion of k in k 1544871542.403 * [misc]backup-simplify: Simplify 0 into 0 1544871542.403 * [misc]backup-simplify: Simplify 1 into 1 1544871542.403 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.403 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.403 * [misc]taylor: Taking taylor expansion of n in k 1544871542.403 * [misc]backup-simplify: Simplify n into n 1544871542.403 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.403 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.403 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.404 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871542.404 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871542.404 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871542.404 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871542.404 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871542.404 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871542.404 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.404 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871542.404 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.404 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.404 * [misc]taylor: Taking taylor expansion of k in n 1544871542.404 * [misc]backup-simplify: Simplify k into k 1544871542.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.404 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.404 * [misc]taylor: Taking taylor expansion of n in n 1544871542.404 * [misc]backup-simplify: Simplify 0 into 0 1544871542.404 * [misc]backup-simplify: Simplify 1 into 1 1544871542.404 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.404 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871542.405 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871542.405 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.405 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871542.405 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871542.405 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871542.405 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871542.405 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871542.405 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871542.405 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.405 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871542.405 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.405 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.405 * [misc]taylor: Taking taylor expansion of k in n 1544871542.405 * [misc]backup-simplify: Simplify k into k 1544871542.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.406 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.406 * [misc]taylor: Taking taylor expansion of n in n 1544871542.406 * [misc]backup-simplify: Simplify 0 into 0 1544871542.406 * [misc]backup-simplify: Simplify 1 into 1 1544871542.406 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.406 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871542.406 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871542.406 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.406 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871542.407 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871542.407 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1544871542.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1544871542.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1544871542.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871542.407 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.407 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871542.407 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.407 * [misc]taylor: Taking taylor expansion of k in k 1544871542.407 * [misc]backup-simplify: Simplify 0 into 0 1544871542.407 * [misc]backup-simplify: Simplify 1 into 1 1544871542.407 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.407 * [misc]taylor: Taking taylor expansion of n in k 1544871542.407 * [misc]backup-simplify: Simplify n into n 1544871542.407 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.407 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871542.407 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.408 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.408 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871542.408 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871542.408 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1544871542.411 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871542.411 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1544871542.411 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.411 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.411 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1544871542.413 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.413 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.413 * [misc]backup-simplify: Simplify 0 into 0 1544871542.413 * [misc]backup-simplify: Simplify 0 into 0 1544871542.414 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871542.414 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544871542.414 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871542.414 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871542.415 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871542.415 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871542.415 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1544871542.420 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871542.420 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544871542.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.421 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.421 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1544871542.423 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871542.423 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.423 * [misc]backup-simplify: Simplify 0 into 0 1544871542.423 * [misc]backup-simplify: Simplify 0 into 0 1544871542.423 * [misc]backup-simplify: Simplify 0 into 0 1544871542.425 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871542.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871542.426 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.426 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871542.428 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871542.429 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871542.431 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1544871542.431 * [misc]backup-simplify: Simplify (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871542.431 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in (n k) around 0 1544871542.431 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.431 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871542.431 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871542.431 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.431 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.431 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.432 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.432 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.432 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.432 * [misc]taylor: Taking taylor expansion of k in k 1544871542.432 * [misc]backup-simplify: Simplify 0 into 0 1544871542.432 * [misc]backup-simplify: Simplify 1 into 1 1544871542.432 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.432 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.432 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871542.432 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871542.432 * [misc]taylor: Taking taylor expansion of n in k 1544871542.432 * [misc]backup-simplify: Simplify n into n 1544871542.432 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871542.432 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871542.432 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.433 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.433 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871542.433 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871542.433 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.433 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.433 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.433 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.433 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.433 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.433 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.433 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.433 * [misc]taylor: Taking taylor expansion of k in n 1544871542.433 * [misc]backup-simplify: Simplify k into k 1544871542.433 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.433 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.433 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.434 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.434 * [misc]taylor: Taking taylor expansion of n in n 1544871542.434 * [misc]backup-simplify: Simplify 0 into 0 1544871542.434 * [misc]backup-simplify: Simplify 1 into 1 1544871542.434 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.434 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.434 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.434 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.434 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.435 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.435 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.435 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.435 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.435 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.435 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.435 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of k in n 1544871542.435 * [misc]backup-simplify: Simplify k into k 1544871542.435 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.435 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.435 * [misc]taylor: Taking taylor expansion of n in n 1544871542.435 * [misc]backup-simplify: Simplify 0 into 0 1544871542.435 * [misc]backup-simplify: Simplify 1 into 1 1544871542.435 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.436 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.436 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.436 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.436 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.436 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.436 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.436 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.436 * [misc]backup-simplify: Simplify -1 into -1 1544871542.436 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of k in k 1544871542.436 * [misc]backup-simplify: Simplify 0 into 0 1544871542.436 * [misc]backup-simplify: Simplify 1 into 1 1544871542.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.436 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.436 * [misc]taylor: Taking taylor expansion of n in k 1544871542.436 * [misc]backup-simplify: Simplify n into n 1544871542.437 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.437 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871542.437 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871542.437 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871542.437 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1544871542.437 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1544871542.437 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.437 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.437 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871542.439 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871542.439 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.439 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871542.439 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.440 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871542.440 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.440 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.440 * [misc]backup-simplify: Simplify 0 into 0 1544871542.440 * [misc]backup-simplify: Simplify 0 into 0 1544871542.440 * [misc]backup-simplify: Simplify 0 into 0 1544871542.441 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.443 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871542.443 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.443 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871542.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.444 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871542.445 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871542.445 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.445 * [misc]backup-simplify: Simplify 0 into 0 1544871542.445 * [misc]backup-simplify: Simplify 0 into 0 1544871542.445 * [misc]backup-simplify: Simplify 0 into 0 1544871542.445 * [misc]backup-simplify: Simplify 0 into 0 1544871542.445 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.450 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544871542.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.450 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871542.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.450 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.451 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1544871542.453 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871542.453 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.453 * [misc]backup-simplify: Simplify 0 into 0 1544871542.453 * [misc]backup-simplify: Simplify 0 into 0 1544871542.453 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1544871542.453 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) 1544871542.453 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in (n k) around 0 1544871542.453 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.453 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871542.453 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871542.453 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.453 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.453 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.453 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.453 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.453 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.453 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.453 * [misc]backup-simplify: Simplify -1 into -1 1544871542.453 * [misc]taylor: Taking taylor expansion of k in k 1544871542.453 * [misc]backup-simplify: Simplify 0 into 0 1544871542.453 * [misc]backup-simplify: Simplify 1 into 1 1544871542.453 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.453 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.454 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871542.454 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871542.454 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.454 * [misc]backup-simplify: Simplify -1 into -1 1544871542.454 * [misc]taylor: Taking taylor expansion of n in k 1544871542.454 * [misc]backup-simplify: Simplify n into n 1544871542.454 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871542.454 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871542.454 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.454 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.454 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871542.454 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871542.454 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.454 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.454 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.454 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.454 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.454 * [misc]backup-simplify: Simplify -1 into -1 1544871542.454 * [misc]taylor: Taking taylor expansion of k in n 1544871542.454 * [misc]backup-simplify: Simplify k into k 1544871542.454 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.454 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.454 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.454 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871542.454 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.454 * [misc]backup-simplify: Simplify -1 into -1 1544871542.454 * [misc]taylor: Taking taylor expansion of n in n 1544871542.454 * [misc]backup-simplify: Simplify 0 into 0 1544871542.454 * [misc]backup-simplify: Simplify 1 into 1 1544871542.455 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.455 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.455 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.455 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.455 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.455 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871542.455 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.455 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.455 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871542.456 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871542.456 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.456 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.456 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.456 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.456 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.456 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.456 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.456 * [misc]backup-simplify: Simplify -1 into -1 1544871542.456 * [misc]taylor: Taking taylor expansion of k in n 1544871542.456 * [misc]backup-simplify: Simplify k into k 1544871542.456 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.456 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871542.456 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871542.456 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.456 * [misc]backup-simplify: Simplify -1 into -1 1544871542.456 * [misc]taylor: Taking taylor expansion of n in n 1544871542.456 * [misc]backup-simplify: Simplify 0 into 0 1544871542.456 * [misc]backup-simplify: Simplify 1 into 1 1544871542.456 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.456 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.456 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.456 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.456 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.457 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871542.457 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.457 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of k in k 1544871542.457 * [misc]backup-simplify: Simplify 0 into 0 1544871542.457 * [misc]backup-simplify: Simplify 1 into 1 1544871542.457 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.457 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of (log -1) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.457 * [misc]backup-simplify: Simplify -1 into -1 1544871542.457 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.457 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.457 * [misc]taylor: Taking taylor expansion of n in k 1544871542.457 * [misc]backup-simplify: Simplify n into n 1544871542.457 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.458 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871542.458 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.458 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871542.458 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1544871542.458 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1544871542.458 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.458 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871542.460 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871542.460 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871542.460 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871542.461 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.461 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.461 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1544871542.462 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.462 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.462 * [misc]backup-simplify: Simplify 0 into 0 1544871542.462 * [misc]backup-simplify: Simplify 0 into 0 1544871542.462 * [misc]backup-simplify: Simplify 0 into 0 1544871542.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.465 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871542.465 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.465 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871542.465 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.466 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.466 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1544871542.467 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871542.467 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.467 * [misc]backup-simplify: Simplify 0 into 0 1544871542.467 * [misc]backup-simplify: Simplify 0 into 0 1544871542.467 * [misc]backup-simplify: Simplify 0 into 0 1544871542.467 * [misc]backup-simplify: Simplify 0 into 0 1544871542.468 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.476 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1544871542.476 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.476 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 k))))) into 0 1544871542.477 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.477 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.478 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1544871542.481 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871542.481 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.481 * [misc]backup-simplify: Simplify 0 into 0 1544871542.481 * [misc]backup-simplify: Simplify 0 into 0 1544871542.482 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1544871542.482 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1544871542.482 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 k 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871542.482 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in (k) around 0 1544871542.483 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871542.483 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871542.483 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871542.483 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.483 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.483 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.483 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.483 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.483 * [misc]taylor: Taking taylor expansion of k in k 1544871542.483 * [misc]backup-simplify: Simplify 0 into 0 1544871542.483 * [misc]backup-simplify: Simplify 1 into 1 1544871542.483 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.483 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.483 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.483 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.483 * [misc]backup-simplify: Simplify 2 into 2 1544871542.483 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.483 * [misc]backup-simplify: Simplify PI into PI 1544871542.483 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.484 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.484 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.484 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.485 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.487 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871542.487 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871542.487 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871542.487 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871542.487 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.487 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.487 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.487 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.487 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.487 * [misc]taylor: Taking taylor expansion of k in k 1544871542.487 * [misc]backup-simplify: Simplify 0 into 0 1544871542.487 * [misc]backup-simplify: Simplify 1 into 1 1544871542.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.487 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.487 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.487 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.487 * [misc]backup-simplify: Simplify 2 into 2 1544871542.487 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.487 * [misc]backup-simplify: Simplify PI into PI 1544871542.488 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.488 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.488 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.489 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.489 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.491 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871542.491 * [misc]backup-simplify: Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2) 1544871542.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871542.495 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871542.496 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871542.496 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.496 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1544871542.499 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1544871542.501 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) 1544871542.501 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871542.508 * [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 1544871542.508 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871542.508 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.509 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1544871542.513 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1544871542.514 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) 1544871542.519 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1544871542.519 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871542.519 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in (k) around 0 1544871542.519 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.519 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871542.519 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871542.519 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.519 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.519 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.519 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.519 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.519 * [misc]taylor: Taking taylor expansion of k in k 1544871542.519 * [misc]backup-simplify: Simplify 0 into 0 1544871542.519 * [misc]backup-simplify: Simplify 1 into 1 1544871542.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.520 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.520 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.520 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.520 * [misc]backup-simplify: Simplify 2 into 2 1544871542.520 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.520 * [misc]backup-simplify: Simplify PI into PI 1544871542.520 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.520 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.520 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.520 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.521 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871542.521 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871542.521 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.521 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871542.521 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871542.521 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.521 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.522 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.522 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.522 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.522 * [misc]taylor: Taking taylor expansion of k in k 1544871542.522 * [misc]backup-simplify: Simplify 0 into 0 1544871542.522 * [misc]backup-simplify: Simplify 1 into 1 1544871542.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.522 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.522 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.522 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.522 * [misc]backup-simplify: Simplify 2 into 2 1544871542.522 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.522 * [misc]backup-simplify: Simplify PI into PI 1544871542.522 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.522 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.522 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.523 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.523 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871542.523 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871542.524 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871542.524 * [misc]backup-simplify: Simplify 0 into 0 1544871542.524 * [misc]backup-simplify: Simplify 0 into 0 1544871542.524 * [misc]backup-simplify: Simplify 0 into 0 1544871542.524 * [misc]backup-simplify: Simplify 0 into 0 1544871542.524 * [misc]backup-simplify: Simplify 0 into 0 1544871542.524 * [misc]backup-simplify: Simplify 0 into 0 1544871542.524 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (/ 1 k)) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871542.524 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871542.524 * [misc]approximate: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in (k) around 0 1544871542.525 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.525 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.525 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.525 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.525 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.525 * [misc]backup-simplify: Simplify -1 into -1 1544871542.525 * [misc]taylor: Taking taylor expansion of k in k 1544871542.525 * [misc]backup-simplify: Simplify 0 into 0 1544871542.525 * [misc]backup-simplify: Simplify 1 into 1 1544871542.525 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.525 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.525 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.525 * [misc]backup-simplify: Simplify 2 into 2 1544871542.525 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.525 * [misc]backup-simplify: Simplify PI into PI 1544871542.525 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.526 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.526 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.526 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.526 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.527 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871542.527 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.527 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.527 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.527 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.527 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.527 * [misc]backup-simplify: Simplify -1 into -1 1544871542.527 * [misc]taylor: Taking taylor expansion of k in k 1544871542.527 * [misc]backup-simplify: Simplify 0 into 0 1544871542.527 * [misc]backup-simplify: Simplify 1 into 1 1544871542.527 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.527 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.527 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.527 * [misc]backup-simplify: Simplify 2 into 2 1544871542.527 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.527 * [misc]backup-simplify: Simplify PI into PI 1544871542.528 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.528 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.528 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.528 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.529 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.530 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871542.530 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871542.530 * [misc]backup-simplify: Simplify 0 into 0 1544871542.531 * [misc]backup-simplify: Simplify 0 into 0 1544871542.531 * [misc]backup-simplify: Simplify 0 into 0 1544871542.531 * [misc]backup-simplify: Simplify 0 into 0 1544871542.531 * [misc]backup-simplify: Simplify 0 into 0 1544871542.531 * [misc]backup-simplify: Simplify 0 into 0 1544871542.531 * [misc]backup-simplify: Simplify (pow (* 2 PI) (fma -1/2 (/ -1 (/ 1 (- k))) 1/2)) into (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871542.531 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544871542.532 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) into (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) 1544871542.532 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in (k n) around 0 1544871542.532 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in n 1544871542.532 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544871542.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.532 * [misc]taylor: Taking taylor expansion of k in n 1544871542.532 * [misc]backup-simplify: Simplify k into k 1544871542.532 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.533 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544871542.533 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.533 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544871542.533 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in n 1544871542.533 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871542.533 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871542.533 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871542.533 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871542.533 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.533 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871542.533 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.533 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.533 * [misc]taylor: Taking taylor expansion of k in n 1544871542.533 * [misc]backup-simplify: Simplify k into k 1544871542.533 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.533 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.533 * [misc]taylor: Taking taylor expansion of n in n 1544871542.533 * [misc]backup-simplify: Simplify 0 into 0 1544871542.533 * [misc]backup-simplify: Simplify 1 into 1 1544871542.534 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.534 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871542.534 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871542.534 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.534 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871542.534 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871542.534 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in n 1544871542.534 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in n 1544871542.534 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in n 1544871542.534 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871542.535 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.535 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871542.535 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.535 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.535 * [misc]taylor: Taking taylor expansion of k in n 1544871542.535 * [misc]backup-simplify: Simplify k into k 1544871542.535 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.535 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.535 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.535 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.535 * [misc]backup-simplify: Simplify 2 into 2 1544871542.535 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.535 * [misc]backup-simplify: Simplify PI into PI 1544871542.535 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.536 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.536 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871542.536 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871542.537 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) into (* (- 1/2 (* 1/2 k)) (log (* 2 PI))) 1544871542.538 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 k))) 1544871542.538 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1544871542.538 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871542.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.538 * [misc]taylor: Taking taylor expansion of k in k 1544871542.538 * [misc]backup-simplify: Simplify 0 into 0 1544871542.538 * [misc]backup-simplify: Simplify 1 into 1 1544871542.538 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.538 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.539 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.539 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1544871542.539 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871542.539 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871542.539 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871542.539 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.539 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.539 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.539 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.539 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.539 * [misc]taylor: Taking taylor expansion of k in k 1544871542.539 * [misc]backup-simplify: Simplify 0 into 0 1544871542.539 * [misc]backup-simplify: Simplify 1 into 1 1544871542.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.539 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.539 * [misc]taylor: Taking taylor expansion of n in k 1544871542.540 * [misc]backup-simplify: Simplify n into n 1544871542.540 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.540 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.540 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.540 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871542.540 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871542.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871542.540 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871542.540 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871542.540 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.540 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.540 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.540 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.540 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.540 * [misc]taylor: Taking taylor expansion of k in k 1544871542.540 * [misc]backup-simplify: Simplify 0 into 0 1544871542.540 * [misc]backup-simplify: Simplify 1 into 1 1544871542.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.541 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.541 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.541 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.541 * [misc]backup-simplify: Simplify 2 into 2 1544871542.541 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.541 * [misc]backup-simplify: Simplify PI into PI 1544871542.541 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.542 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.542 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.542 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.543 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.544 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871542.544 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2)))) in k 1544871542.544 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871542.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.544 * [misc]taylor: Taking taylor expansion of k in k 1544871542.544 * [misc]backup-simplify: Simplify 0 into 0 1544871542.544 * [misc]backup-simplify: Simplify 1 into 1 1544871542.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.545 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.545 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.545 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) in k 1544871542.545 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871542.545 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871542.545 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871542.545 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.545 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.545 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.546 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.546 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.546 * [misc]taylor: Taking taylor expansion of k in k 1544871542.546 * [misc]backup-simplify: Simplify 0 into 0 1544871542.546 * [misc]backup-simplify: Simplify 1 into 1 1544871542.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.546 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.546 * [misc]taylor: Taking taylor expansion of n in k 1544871542.546 * [misc]backup-simplify: Simplify n into n 1544871542.546 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.546 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.546 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.546 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871542.546 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871542.546 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 k 1/2)) in k 1544871542.546 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log (* 2 PI)))) in k 1544871542.547 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log (* 2 PI))) in k 1544871542.547 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.547 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.547 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.547 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.547 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.547 * [misc]taylor: Taking taylor expansion of k in k 1544871542.547 * [misc]backup-simplify: Simplify 0 into 0 1544871542.547 * [misc]backup-simplify: Simplify 1 into 1 1544871542.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.547 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.547 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.547 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.547 * [misc]backup-simplify: Simplify 2 into 2 1544871542.547 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.547 * [misc]backup-simplify: Simplify PI into PI 1544871542.547 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.548 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.548 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.548 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.549 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.550 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2) 1544871542.551 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow (* 2 PI) 1/2)) into (sqrt (* PI (* n 2))) 1544871542.552 * [misc]backup-simplify: Simplify (* 0 (sqrt (* PI (* n 2)))) into 0 1544871542.552 * [misc]taylor: Taking taylor expansion of 0 in n 1544871542.552 * [misc]backup-simplify: Simplify 0 into 0 1544871542.552 * [misc]backup-simplify: Simplify 0 into 0 1544871542.552 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871542.556 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871542.556 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871542.556 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.558 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI)))) 1544871542.562 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 1544871542.564 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871542.564 * [misc]backup-simplify: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 1544871542.564 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.564 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871542.565 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871542.568 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/2 (* (sqrt n) (log n))) (pow (* 2 PI) 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) 1544871542.571 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1544871542.571 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544871542.571 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544871542.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.571 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871542.571 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.571 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.571 * [misc]backup-simplify: Simplify 2 into 2 1544871542.571 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.572 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.572 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.572 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.572 * [misc]taylor: Taking taylor expansion of n in n 1544871542.572 * [misc]backup-simplify: Simplify 0 into 0 1544871542.572 * [misc]backup-simplify: Simplify 1 into 1 1544871542.572 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.572 * [misc]backup-simplify: Simplify PI into PI 1544871542.572 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.573 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.574 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.574 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871542.574 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.574 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.574 * [misc]backup-simplify: Simplify 0 into 0 1544871542.575 * [misc]backup-simplify: Simplify 0 into 0 1544871542.576 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544871542.582 * [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 1544871542.582 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871542.582 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.584 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0 1544871542.590 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 1544871542.592 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871542.592 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871542.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871542.594 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871542.599 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* 2 PI) 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))))) 1544871542.599 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871542.599 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871542.605 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1544871542.605 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.605 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.605 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.605 * [misc]backup-simplify: Simplify 2 into 2 1544871542.605 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.605 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.605 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.605 * [misc]taylor: Taking taylor expansion of n in n 1544871542.605 * [misc]backup-simplify: Simplify 0 into 0 1544871542.605 * [misc]backup-simplify: Simplify 1 into 1 1544871542.606 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.606 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.606 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.606 * [misc]taylor: Taking taylor expansion of n in n 1544871542.606 * [misc]backup-simplify: Simplify 0 into 0 1544871542.606 * [misc]backup-simplify: Simplify 1 into 1 1544871542.606 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.606 * [misc]backup-simplify: Simplify PI into PI 1544871542.606 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.606 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.607 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.607 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.607 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.607 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.607 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.607 * [misc]backup-simplify: Simplify 2 into 2 1544871542.607 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.607 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.607 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.607 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.607 * [misc]backup-simplify: Simplify 2 into 2 1544871542.607 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.607 * [misc]backup-simplify: Simplify PI into PI 1544871542.608 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.608 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.608 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.608 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.608 * [misc]taylor: Taking taylor expansion of n in n 1544871542.608 * [misc]backup-simplify: Simplify 0 into 0 1544871542.608 * [misc]backup-simplify: Simplify 1 into 1 1544871542.608 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.608 * [misc]backup-simplify: Simplify PI into PI 1544871542.608 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.609 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.609 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.609 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544871542.609 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544871542.609 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.609 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.609 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871542.609 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.609 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.609 * [misc]backup-simplify: Simplify 2 into 2 1544871542.609 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.609 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.609 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.610 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.610 * [misc]taylor: Taking taylor expansion of n in n 1544871542.610 * [misc]backup-simplify: Simplify 0 into 0 1544871542.610 * [misc]backup-simplify: Simplify 1 into 1 1544871542.610 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.610 * [misc]backup-simplify: Simplify PI into PI 1544871542.610 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.610 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.610 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.611 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.611 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.611 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871542.611 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1544871542.611 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.612 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1544871542.613 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.613 * [misc]backup-simplify: Simplify 0 into 0 1544871542.614 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.615 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.616 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.617 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.617 * [misc]backup-simplify: Simplify 0 into 0 1544871542.618 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544871542.627 * [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 1544871542.627 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544871542.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.630 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0 1544871542.643 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 1544871542.646 * [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 1544871542.646 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544871542.647 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.647 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1544871542.650 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1544871542.666 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow (* 2 PI) 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI)))))))) 1544871542.667 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.668 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871542.685 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log n) (pow (log (* 2 PI)) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log n) 2) (log (* 2 PI)))) (sqrt (* n PI)))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 PI)) 3)) (sqrt (* n PI))))))))) (+ (* +nan.0 (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) (* 1/4 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) (* +nan.0 (sqrt (* PI (* n 2))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) 1544871542.685 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))))) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))))) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.685 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.685 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.685 * [misc]backup-simplify: Simplify 2 into 2 1544871542.685 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.685 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.685 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.685 * [misc]taylor: Taking taylor expansion of n in n 1544871542.685 * [misc]backup-simplify: Simplify 0 into 0 1544871542.686 * [misc]backup-simplify: Simplify 1 into 1 1544871542.686 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.686 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.686 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.686 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.686 * [misc]taylor: Taking taylor expansion of n in n 1544871542.686 * [misc]backup-simplify: Simplify 0 into 0 1544871542.686 * [misc]backup-simplify: Simplify 1 into 1 1544871542.686 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.686 * [misc]backup-simplify: Simplify PI into PI 1544871542.686 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.687 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.687 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.687 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))))) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))))) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI)))) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.687 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.687 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) (sqrt (* n PI))) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log n) (log (* 2 PI)))) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.687 * [misc]backup-simplify: Simplify 2 into 2 1544871542.687 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.687 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.687 * [misc]taylor: Taking taylor expansion of (* (log n) (log (* 2 PI))) in n 1544871542.687 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.688 * [misc]taylor: Taking taylor expansion of n in n 1544871542.688 * [misc]backup-simplify: Simplify 0 into 0 1544871542.688 * [misc]backup-simplify: Simplify 1 into 1 1544871542.688 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.688 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.688 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.688 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.688 * [misc]backup-simplify: Simplify 2 into 2 1544871542.688 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.688 * [misc]backup-simplify: Simplify PI into PI 1544871542.688 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.688 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.688 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.688 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.688 * [misc]taylor: Taking taylor expansion of n in n 1544871542.688 * [misc]backup-simplify: Simplify 0 into 0 1544871542.688 * [misc]backup-simplify: Simplify 1 into 1 1544871542.688 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.688 * [misc]backup-simplify: Simplify PI into PI 1544871542.689 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.689 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.689 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.689 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.689 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))))) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))))) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.690 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.690 * [misc]backup-simplify: Simplify 2 into 2 1544871542.690 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.690 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.690 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of n in n 1544871542.690 * [misc]backup-simplify: Simplify 0 into 0 1544871542.690 * [misc]backup-simplify: Simplify 1 into 1 1544871542.690 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.690 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.690 * [misc]taylor: Taking taylor expansion of n in n 1544871542.690 * [misc]backup-simplify: Simplify 0 into 0 1544871542.690 * [misc]backup-simplify: Simplify 1 into 1 1544871542.690 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.690 * [misc]backup-simplify: Simplify PI into PI 1544871542.690 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.691 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.691 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.691 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.691 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))))) in n 1544871542.691 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))))) in n 1544871542.691 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544871542.691 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.691 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.691 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544871542.691 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.691 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.691 * [misc]backup-simplify: Simplify 2 into 2 1544871542.692 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.692 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.692 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.692 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.692 * [misc]taylor: Taking taylor expansion of n in n 1544871542.692 * [misc]backup-simplify: Simplify 0 into 0 1544871542.692 * [misc]backup-simplify: Simplify 1 into 1 1544871542.692 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.692 * [misc]backup-simplify: Simplify PI into PI 1544871542.692 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.692 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.693 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.693 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.693 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))))) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))))) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI)))) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.693 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.693 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 PI))) (sqrt (* n PI))) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 PI))) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.693 * [misc]backup-simplify: Simplify 2 into 2 1544871542.693 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.693 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.693 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.693 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.693 * [misc]backup-simplify: Simplify 2 into 2 1544871542.693 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.693 * [misc]backup-simplify: Simplify PI into PI 1544871542.694 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.694 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.694 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.694 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.694 * [misc]taylor: Taking taylor expansion of n in n 1544871542.694 * [misc]backup-simplify: Simplify 0 into 0 1544871542.694 * [misc]backup-simplify: Simplify 1 into 1 1544871542.694 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.694 * [misc]backup-simplify: Simplify PI into PI 1544871542.694 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.695 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.695 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.695 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))))) in n 1544871542.695 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI)))) in n 1544871542.695 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.695 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt (* n PI))) in n 1544871542.695 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 PI)) 2)) in n 1544871542.695 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544871542.695 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.695 * [misc]backup-simplify: Simplify 2 into 2 1544871542.695 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544871542.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544871542.696 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 PI)) 2) in n 1544871542.696 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.696 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.696 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.696 * [misc]backup-simplify: Simplify 2 into 2 1544871542.696 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.696 * [misc]backup-simplify: Simplify PI into PI 1544871542.696 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.696 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.696 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544871542.696 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544871542.696 * [misc]taylor: Taking taylor expansion of n in n 1544871542.696 * [misc]backup-simplify: Simplify 0 into 0 1544871542.696 * [misc]backup-simplify: Simplify 1 into 1 1544871542.696 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.696 * [misc]backup-simplify: Simplify PI into PI 1544871542.696 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544871542.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544871542.697 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.697 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544871542.697 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.698 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.698 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1544871542.698 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1544871542.699 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1544871542.699 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.699 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.699 * [misc]backup-simplify: Simplify (* (log n) (log (* 2 PI))) into (* (log n) (log (* 2 PI))) 1544871542.700 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log n) (log (* 2 PI)))) into (* (sqrt 2) (* (log n) (log (* 2 PI)))) 1544871542.700 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log n) (log (* 2 PI)))) 0) into 0 1544871542.700 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.701 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1544871542.701 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1544871542.701 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.701 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544871542.701 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.702 * [misc]backup-simplify: Simplify (* (sqrt 2) (log (* 2 PI))) into (* (sqrt 2) (log (* 2 PI))) 1544871542.703 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log (* 2 PI))) 0) into 0 1544871542.703 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.704 * [misc]backup-simplify: Simplify (* (log (* 2 PI)) (log (* 2 PI))) into (pow (log (* 2 PI)) 2) 1544871542.705 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log (* 2 PI)) 2)) into (* (sqrt 2) (pow (log (* 2 PI)) 2)) 1544871542.706 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) 0) into 0 1544871542.706 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544871542.706 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.706 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.706 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.707 * [misc]backup-simplify: Simplify 0 into 0 1544871542.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871542.709 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.709 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1544871542.710 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871542.710 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1544871542.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871542.713 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871542.714 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log (* 2 PI)))) into 0 1544871542.715 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log (* 2 PI))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1544871542.717 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))) 1544871542.718 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.719 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.720 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544871542.725 * [misc]backup-simplify: Simplify (+ (- (* +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 (* 2 PI)))))))) 1544871542.730 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) PI))))) 1544871542.735 * [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)))))))))) 1544871542.739 * [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))))))) 1544871542.743 * [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))))))) 1544871542.745 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544871542.749 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544871542.751 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544871542.754 * [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)))) 1544871542.760 * [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)))) 1544871542.762 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544871542.764 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544871542.773 * [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))))))))))))) 1544871542.774 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (/ (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k)))) into (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) 1544871542.774 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in (k n) around 0 1544871542.774 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in n 1544871542.774 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871542.774 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.774 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871542.775 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871542.775 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.775 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.775 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.775 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.775 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.775 * [misc]taylor: Taking taylor expansion of k in n 1544871542.775 * [misc]backup-simplify: Simplify k into k 1544871542.775 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.775 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.775 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.775 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.775 * [misc]backup-simplify: Simplify 2 into 2 1544871542.775 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.775 * [misc]backup-simplify: Simplify PI into PI 1544871542.776 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.776 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.776 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.776 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.777 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871542.777 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871542.777 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.778 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.778 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.778 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.778 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of k in n 1544871542.778 * [misc]backup-simplify: Simplify k into k 1544871542.778 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.778 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.778 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.778 * [misc]taylor: Taking taylor expansion of n in n 1544871542.778 * [misc]backup-simplify: Simplify 0 into 0 1544871542.778 * [misc]backup-simplify: Simplify 1 into 1 1544871542.778 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.778 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.778 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.779 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.779 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.779 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.779 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.779 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544871542.779 * [misc]taylor: Taking taylor expansion of k in n 1544871542.779 * [misc]backup-simplify: Simplify k into k 1544871542.779 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544871542.779 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544871542.779 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1544871542.779 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871542.779 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.779 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871542.779 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871542.780 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.780 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.780 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.780 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.780 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.780 * [misc]taylor: Taking taylor expansion of k in k 1544871542.780 * [misc]backup-simplify: Simplify 0 into 0 1544871542.780 * [misc]backup-simplify: Simplify 1 into 1 1544871542.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.780 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.780 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.780 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.780 * [misc]backup-simplify: Simplify 2 into 2 1544871542.780 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.780 * [misc]backup-simplify: Simplify PI into PI 1544871542.780 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.781 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.781 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.781 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.782 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871542.783 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871542.783 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.783 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.783 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.783 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of k in k 1544871542.783 * [misc]backup-simplify: Simplify 0 into 0 1544871542.783 * [misc]backup-simplify: Simplify 1 into 1 1544871542.783 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.783 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.783 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871542.783 * [misc]taylor: Taking taylor expansion of n in k 1544871542.783 * [misc]backup-simplify: Simplify n into n 1544871542.783 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871542.783 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871542.784 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.784 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.784 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871542.784 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871542.784 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871542.784 * [misc]taylor: Taking taylor expansion of k in k 1544871542.784 * [misc]backup-simplify: Simplify 0 into 0 1544871542.784 * [misc]backup-simplify: Simplify 1 into 1 1544871542.784 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.785 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.785 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) (sqrt k)) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.785 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.785 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.785 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of k in k 1544871542.785 * [misc]backup-simplify: Simplify 0 into 0 1544871542.785 * [misc]backup-simplify: Simplify 1 into 1 1544871542.785 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.785 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.785 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.785 * [misc]backup-simplify: Simplify 2 into 2 1544871542.785 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.785 * [misc]backup-simplify: Simplify PI into PI 1544871542.786 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.786 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.786 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.787 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.787 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI))) 1544871542.788 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 1544871542.788 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.788 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871542.788 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871542.788 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.788 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.788 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.788 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.788 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.788 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.788 * [misc]taylor: Taking taylor expansion of k in k 1544871542.788 * [misc]backup-simplify: Simplify 0 into 0 1544871542.788 * [misc]backup-simplify: Simplify 1 into 1 1544871542.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.788 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871542.789 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871542.789 * [misc]taylor: Taking taylor expansion of n in k 1544871542.789 * [misc]backup-simplify: Simplify n into n 1544871542.789 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871542.789 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871542.789 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.789 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.789 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871542.789 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871542.789 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871542.789 * [misc]taylor: Taking taylor expansion of k in k 1544871542.789 * [misc]backup-simplify: Simplify 0 into 0 1544871542.789 * [misc]backup-simplify: Simplify 1 into 1 1544871542.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.790 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.791 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) into (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 1544871542.791 * [misc]backup-simplify: Simplify (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) 0) into 0 1544871542.791 * [misc]taylor: Taking taylor expansion of 0 in n 1544871542.791 * [misc]backup-simplify: Simplify 0 into 0 1544871542.791 * [misc]backup-simplify: Simplify 0 into 0 1544871542.792 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) into 0 1544871542.792 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1544871542.793 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.793 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.793 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.793 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.793 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.793 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of k in n 1544871542.793 * [misc]backup-simplify: Simplify k into k 1544871542.793 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.793 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.793 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.793 * [misc]backup-simplify: Simplify 2 into 2 1544871542.793 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.793 * [misc]backup-simplify: Simplify PI into PI 1544871542.794 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.794 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.794 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.794 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.795 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871542.796 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871542.796 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.796 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.796 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.796 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.796 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of k in n 1544871542.796 * [misc]backup-simplify: Simplify k into k 1544871542.796 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.796 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.796 * [misc]taylor: Taking taylor expansion of n in n 1544871542.796 * [misc]backup-simplify: Simplify 0 into 0 1544871542.796 * [misc]backup-simplify: Simplify 1 into 1 1544871542.796 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.797 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.797 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.797 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.797 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.797 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.798 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871542.799 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1544871542.799 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871542.800 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871542.800 * [misc]backup-simplify: Simplify 0 into 0 1544871542.802 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871542.802 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) into 0 1544871542.803 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1544871542.803 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1544871542.803 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871542.803 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.803 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.803 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871542.803 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.803 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871542.803 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871542.803 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.804 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.804 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.804 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.804 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.804 * [misc]taylor: Taking taylor expansion of k in n 1544871542.804 * [misc]backup-simplify: Simplify k into k 1544871542.804 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.804 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.804 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.804 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.804 * [misc]backup-simplify: Simplify 2 into 2 1544871542.804 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.804 * [misc]backup-simplify: Simplify PI into PI 1544871542.804 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.805 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.805 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.805 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.806 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871542.806 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871542.807 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.807 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.807 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.807 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of k in n 1544871542.807 * [misc]backup-simplify: Simplify k into k 1544871542.807 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.807 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.807 * [misc]taylor: Taking taylor expansion of n in n 1544871542.807 * [misc]backup-simplify: Simplify 0 into 0 1544871542.807 * [misc]backup-simplify: Simplify 1 into 1 1544871542.807 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.808 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.808 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.808 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.808 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.808 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.809 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871542.810 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1544871542.810 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871542.811 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871542.812 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871542.815 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871542.815 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.815 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871542.815 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.816 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871542.817 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.818 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871542.821 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871542.821 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.822 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871542.822 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.823 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log (* 2 PI)))) into 0 1544871542.824 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.825 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1544871542.826 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544871542.826 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.826 * [misc]backup-simplify: Simplify 0 into 0 1544871542.826 * [misc]backup-simplify: Simplify 0 into 0 1544871542.827 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871542.828 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))))) into 0 1544871542.829 * [misc]backup-simplify: Simplify (+ (* (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) 1544871542.829 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))))) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)))) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.829 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.829 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2))) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI)))) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (* 2 PI))) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.829 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.829 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.829 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.829 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of k in n 1544871542.829 * [misc]backup-simplify: Simplify k into k 1544871542.829 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.829 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.829 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.829 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.829 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.830 * [misc]backup-simplify: Simplify 2 into 2 1544871542.830 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.830 * [misc]backup-simplify: Simplify PI into PI 1544871542.830 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.830 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.831 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.831 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.831 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI))) 1544871542.832 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 PI)))) into (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) 1544871542.832 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.832 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.832 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.832 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.832 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.832 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.832 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.832 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.832 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.832 * [misc]taylor: Taking taylor expansion of k in n 1544871542.832 * [misc]backup-simplify: Simplify k into k 1544871542.832 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.832 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.833 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.833 * [misc]taylor: Taking taylor expansion of n in n 1544871542.833 * [misc]backup-simplify: Simplify 0 into 0 1544871542.833 * [misc]backup-simplify: Simplify 1 into 1 1544871542.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.833 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.833 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.833 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.833 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.834 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.834 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))) 1544871542.835 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k)))))) 1544871542.835 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871542.836 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 k))))))) 1544871542.839 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1544871542.840 * [misc]backup-simplify: Simplify (* (pow (* 2 PI) (fma -1/2 (/ 1 (- k)) 1/2)) (/ (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) 1544871542.840 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1544871542.840 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in n 1544871542.840 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.840 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.840 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871542.840 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871542.840 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.841 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.841 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.841 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.841 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.841 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.841 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.841 * [misc]backup-simplify: Simplify -1 into -1 1544871542.841 * [misc]taylor: Taking taylor expansion of k in n 1544871542.841 * [misc]backup-simplify: Simplify k into k 1544871542.841 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.841 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871542.841 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871542.841 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.841 * [misc]backup-simplify: Simplify -1 into -1 1544871542.841 * [misc]taylor: Taking taylor expansion of n in n 1544871542.841 * [misc]backup-simplify: Simplify 0 into 0 1544871542.841 * [misc]backup-simplify: Simplify 1 into 1 1544871542.841 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.841 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.842 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.842 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.842 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871542.843 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.843 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.843 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.843 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.843 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.843 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.843 * [misc]backup-simplify: Simplify -1 into -1 1544871542.843 * [misc]taylor: Taking taylor expansion of k in n 1544871542.843 * [misc]backup-simplify: Simplify k into k 1544871542.843 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.843 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.843 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.843 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.843 * [misc]backup-simplify: Simplify 2 into 2 1544871542.843 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.844 * [misc]backup-simplify: Simplify PI into PI 1544871542.844 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.844 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.845 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.845 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.845 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871542.846 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871542.846 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544871542.846 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.846 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.846 * [misc]backup-simplify: Simplify -1 into -1 1544871542.846 * [misc]taylor: Taking taylor expansion of k in n 1544871542.846 * [misc]backup-simplify: Simplify k into k 1544871542.846 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.847 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544871542.847 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871542.847 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544871542.848 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871542.848 * [misc]backup-simplify: Simplify (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1544871542.849 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.849 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.849 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.849 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.849 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.849 * [misc]backup-simplify: Simplify -1 into -1 1544871542.849 * [misc]taylor: Taking taylor expansion of k in k 1544871542.849 * [misc]backup-simplify: Simplify 0 into 0 1544871542.849 * [misc]backup-simplify: Simplify 1 into 1 1544871542.849 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.849 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.849 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871542.849 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.849 * [misc]backup-simplify: Simplify -1 into -1 1544871542.849 * [misc]taylor: Taking taylor expansion of n in k 1544871542.849 * [misc]backup-simplify: Simplify n into n 1544871542.850 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871542.850 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871542.850 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.850 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.850 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871542.850 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871542.850 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.850 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871542.850 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871542.850 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.850 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.850 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.850 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.850 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.851 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.851 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.851 * [misc]backup-simplify: Simplify -1 into -1 1544871542.851 * [misc]taylor: Taking taylor expansion of k in k 1544871542.851 * [misc]backup-simplify: Simplify 0 into 0 1544871542.851 * [misc]backup-simplify: Simplify 1 into 1 1544871542.851 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.851 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.851 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.851 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.851 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.851 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.851 * [misc]backup-simplify: Simplify 2 into 2 1544871542.851 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.851 * [misc]backup-simplify: Simplify PI into PI 1544871542.851 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.852 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.852 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.852 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.853 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.854 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871542.854 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871542.854 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.854 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.854 * [misc]backup-simplify: Simplify -1 into -1 1544871542.854 * [misc]taylor: Taking taylor expansion of k in k 1544871542.854 * [misc]backup-simplify: Simplify 0 into 0 1544871542.854 * [misc]backup-simplify: Simplify 1 into 1 1544871542.854 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.855 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871542.855 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1544871542.856 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1544871542.856 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) (sqrt (/ -1 k))) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.856 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.856 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.856 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.856 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.856 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.856 * [misc]backup-simplify: Simplify -1 into -1 1544871542.856 * [misc]taylor: Taking taylor expansion of k in k 1544871542.856 * [misc]backup-simplify: Simplify 0 into 0 1544871542.856 * [misc]backup-simplify: Simplify 1 into 1 1544871542.857 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.857 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.857 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871542.857 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871542.857 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.857 * [misc]backup-simplify: Simplify -1 into -1 1544871542.857 * [misc]taylor: Taking taylor expansion of n in k 1544871542.857 * [misc]backup-simplify: Simplify n into n 1544871542.857 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871542.857 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871542.857 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.857 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.857 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871542.858 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871542.858 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.858 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.858 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.858 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.858 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.858 * [misc]backup-simplify: Simplify -1 into -1 1544871542.858 * [misc]taylor: Taking taylor expansion of k in k 1544871542.858 * [misc]backup-simplify: Simplify 0 into 0 1544871542.858 * [misc]backup-simplify: Simplify 1 into 1 1544871542.858 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.858 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.858 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544871542.858 * [misc]taylor: Taking taylor expansion of 2 in k 1544871542.858 * [misc]backup-simplify: Simplify 2 into 2 1544871542.858 * [misc]taylor: Taking taylor expansion of PI in k 1544871542.859 * [misc]backup-simplify: Simplify PI into PI 1544871542.859 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.859 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.860 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.860 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.861 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI))) 1544871542.861 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) 1544871542.861 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871542.861 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.861 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.861 * [misc]backup-simplify: Simplify -1 into -1 1544871542.861 * [misc]taylor: Taking taylor expansion of k in k 1544871542.861 * [misc]backup-simplify: Simplify 0 into 0 1544871542.861 * [misc]backup-simplify: Simplify 1 into 1 1544871542.862 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.862 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871542.863 * [misc]backup-simplify: Simplify (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) into (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) 1544871542.863 * [misc]backup-simplify: Simplify (/ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) 1544871542.864 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.864 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.864 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.864 * [misc]backup-simplify: Simplify -1 into -1 1544871542.864 * [misc]taylor: Taking taylor expansion of n in n 1544871542.864 * [misc]backup-simplify: Simplify 0 into 0 1544871542.864 * [misc]backup-simplify: Simplify 1 into 1 1544871542.864 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.864 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.864 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.864 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.864 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.864 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.864 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.864 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.865 * [misc]backup-simplify: Simplify -1 into -1 1544871542.865 * [misc]taylor: Taking taylor expansion of k in n 1544871542.865 * [misc]backup-simplify: Simplify k into k 1544871542.865 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.865 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.865 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.866 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871542.866 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.866 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.866 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871542.866 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871542.866 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.867 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.867 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.867 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.867 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.867 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.867 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.867 * [misc]backup-simplify: Simplify -1 into -1 1544871542.867 * [misc]taylor: Taking taylor expansion of k in n 1544871542.867 * [misc]backup-simplify: Simplify k into k 1544871542.867 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.867 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.867 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.867 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.867 * [misc]backup-simplify: Simplify 2 into 2 1544871542.867 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.867 * [misc]backup-simplify: Simplify PI into PI 1544871542.868 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.868 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.868 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.868 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.869 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871542.870 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871542.870 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871542.871 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871542.872 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871542.873 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) into 0 1544871542.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871542.874 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871542.875 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1544871542.875 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.875 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.875 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871542.875 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.876 * [misc]backup-simplify: Simplify -1 into -1 1544871542.876 * [misc]taylor: Taking taylor expansion of n in n 1544871542.876 * [misc]backup-simplify: Simplify 0 into 0 1544871542.876 * [misc]backup-simplify: Simplify 1 into 1 1544871542.876 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.876 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.876 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.876 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.876 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.876 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.876 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.876 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.876 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.876 * [misc]backup-simplify: Simplify -1 into -1 1544871542.876 * [misc]taylor: Taking taylor expansion of k in n 1544871542.876 * [misc]backup-simplify: Simplify k into k 1544871542.876 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.877 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.877 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.877 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871542.878 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.878 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.878 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.878 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.878 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.878 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.878 * [misc]backup-simplify: Simplify -1 into -1 1544871542.878 * [misc]taylor: Taking taylor expansion of k in n 1544871542.878 * [misc]backup-simplify: Simplify k into k 1544871542.878 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.878 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.878 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.878 * [misc]backup-simplify: Simplify 2 into 2 1544871542.878 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.878 * [misc]backup-simplify: Simplify PI into PI 1544871542.879 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.879 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.879 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.879 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.880 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871542.881 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871542.882 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871542.882 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871542.883 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871542.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871542.885 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544871542.888 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544871542.888 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871542.889 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871542.889 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.890 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log (* 2 PI)))) into 0 1544871542.891 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.892 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.892 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871542.892 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871542.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871542.895 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871542.896 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1544871542.897 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.898 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544871542.899 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1544871542.899 * [misc]backup-simplify: Simplify 0 into 0 1544871542.900 * [misc]backup-simplify: Simplify (+ (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 0) (+ (* 0 0) (* 0 (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) into 0 1544871542.900 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.903 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871542.906 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) 1544871542.906 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))))) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)))) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544871542.906 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544871542.906 * [misc]taylor: Taking taylor expansion of (* (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871542.906 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.906 * [misc]backup-simplify: Simplify -1 into -1 1544871542.906 * [misc]taylor: Taking taylor expansion of n in n 1544871542.906 * [misc]backup-simplify: Simplify 0 into 0 1544871542.906 * [misc]backup-simplify: Simplify 1 into 1 1544871542.906 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.906 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871542.907 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.907 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.907 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.907 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.907 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.907 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.907 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.907 * [misc]backup-simplify: Simplify -1 into -1 1544871542.907 * [misc]taylor: Taking taylor expansion of k in n 1544871542.907 * [misc]backup-simplify: Simplify k into k 1544871542.907 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871542.907 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.908 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.908 * [misc]backup-simplify: Simplify (* (- (log -1) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871542.908 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871542.908 * [misc]taylor: Taking taylor expansion of (pow (* 2 PI) (fma -1/2 (/ -1 k) 1/2)) in n 1544871542.908 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI)))) in n 1544871542.908 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (* 2 PI))) in n 1544871542.908 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871542.908 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.908 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871542.909 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.909 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.909 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871542.909 * [misc]taylor: Taking taylor expansion of -1 in n 1544871542.909 * [misc]backup-simplify: Simplify -1 into -1 1544871542.909 * [misc]taylor: Taking taylor expansion of k in n 1544871542.909 * [misc]backup-simplify: Simplify k into k 1544871542.909 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871542.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.909 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in n 1544871542.909 * [misc]taylor: Taking taylor expansion of (* 2 PI) in n 1544871542.909 * [misc]taylor: Taking taylor expansion of 2 in n 1544871542.909 * [misc]backup-simplify: Simplify 2 into 2 1544871542.909 * [misc]taylor: Taking taylor expansion of PI in n 1544871542.909 * [misc]backup-simplify: Simplify PI into PI 1544871542.909 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544871542.910 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544871542.910 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871542.910 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871542.911 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI))) 1544871542.912 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* 2 PI)))) into (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) 1544871542.912 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871542.913 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871542.914 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871542.915 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1544871542.919 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (pow (* 2 PI) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1544871542.919 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544871542.920 * [misc]backup-simplify: Simplify (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) into (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) 1544871542.920 * [misc]approximate: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in (n k) around 0 1544871542.920 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in k 1544871542.920 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in k 1544871542.920 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in k 1544871542.920 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in k 1544871542.920 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in k 1544871542.920 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.920 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in k 1544871542.920 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.920 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.920 * [misc]taylor: Taking taylor expansion of k in k 1544871542.920 * [misc]backup-simplify: Simplify 0 into 0 1544871542.920 * [misc]backup-simplify: Simplify 1 into 1 1544871542.920 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.920 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.920 * [misc]taylor: Taking taylor expansion of n in k 1544871542.920 * [misc]backup-simplify: Simplify n into n 1544871542.920 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.921 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1544871542.921 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1544871542.921 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871542.921 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871542.921 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871542.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.921 * [misc]taylor: Taking taylor expansion of k in k 1544871542.921 * [misc]backup-simplify: Simplify 0 into 0 1544871542.921 * [misc]backup-simplify: Simplify 1 into 1 1544871542.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.922 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.922 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.923 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1544871542.923 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871542.923 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871542.923 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871542.923 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871542.923 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.923 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871542.923 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.923 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.923 * [misc]taylor: Taking taylor expansion of k in n 1544871542.923 * [misc]backup-simplify: Simplify k into k 1544871542.923 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.923 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.923 * [misc]taylor: Taking taylor expansion of n in n 1544871542.923 * [misc]backup-simplify: Simplify 0 into 0 1544871542.923 * [misc]backup-simplify: Simplify 1 into 1 1544871542.923 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.923 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871542.924 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871542.924 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.924 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871542.924 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871542.924 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544871542.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.924 * [misc]taylor: Taking taylor expansion of k in n 1544871542.924 * [misc]backup-simplify: Simplify k into k 1544871542.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.924 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544871542.925 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544871542.925 * [misc]taylor: Taking taylor expansion of (* (pow n (fma -1/2 k 1/2)) (sqrt (/ 1 k))) in n 1544871542.925 * [misc]taylor: Taking taylor expansion of (pow n (fma -1/2 k 1/2)) in n 1544871542.925 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 k 1/2) (log n))) in n 1544871542.925 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 k 1/2) (log n)) in n 1544871542.925 * [misc]taylor: Taking taylor expansion of (fma -1/2 k 1/2) in n 1544871542.925 * [misc]taylor: Rewrote expression to (+ (* -1/2 k) 1/2) 1544871542.925 * [misc]taylor: Taking taylor expansion of (* -1/2 k) in n 1544871542.925 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.925 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.925 * [misc]taylor: Taking taylor expansion of k in n 1544871542.925 * [misc]backup-simplify: Simplify k into k 1544871542.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.925 * [misc]taylor: Taking taylor expansion of (log n) in n 1544871542.925 * [misc]taylor: Taking taylor expansion of n in n 1544871542.925 * [misc]backup-simplify: Simplify 0 into 0 1544871542.925 * [misc]backup-simplify: Simplify 1 into 1 1544871542.925 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.925 * [misc]backup-simplify: Simplify (* -1/2 k) into (* -1/2 k) 1544871542.926 * [misc]backup-simplify: Simplify (+ (* -1/2 k) 1/2) into (- 1/2 (* 1/2 k)) 1544871542.926 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.926 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1544871542.926 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1544871542.926 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544871542.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.926 * [misc]taylor: Taking taylor expansion of k in n 1544871542.926 * [misc]backup-simplify: Simplify k into k 1544871542.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.926 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544871542.926 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544871542.927 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1544871542.927 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.927 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.927 * [misc]taylor: Taking taylor expansion of k in k 1544871542.927 * [misc]backup-simplify: Simplify 0 into 0 1544871542.927 * [misc]backup-simplify: Simplify 1 into 1 1544871542.927 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.927 * [misc]taylor: Taking taylor expansion of n in k 1544871542.927 * [misc]backup-simplify: Simplify n into n 1544871542.927 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.928 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544871542.928 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.928 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.928 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1544871542.928 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1544871542.928 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544871542.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.928 * [misc]taylor: Taking taylor expansion of k in k 1544871542.928 * [misc]backup-simplify: Simplify 0 into 0 1544871542.928 * [misc]backup-simplify: Simplify 1 into 1 1544871542.928 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.929 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.929 * [misc]backup-simplify: Simplify (* (pow n 1/2) 0) into 0 1544871542.929 * [misc]backup-simplify: Simplify 0 into 0 1544871542.932 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871542.932 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 k)) into 0 1544871542.932 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.932 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.933 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1544871542.934 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.934 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544871542.934 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.934 * [misc]backup-simplify: Simplify 0 into 0 1544871542.935 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544871542.935 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544871542.936 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871542.936 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871542.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1544871542.936 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1544871542.937 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) +nan.0) (* (* -1/2 (* (sqrt n) (log n))) 0)) into (- (* +nan.0 (sqrt n))) 1544871542.937 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt n))) into (- (* +nan.0 (sqrt n))) 1544871542.937 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.938 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544871542.942 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871542.943 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544871542.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.943 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.943 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1544871542.945 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871542.946 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544871542.946 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.946 * [misc]backup-simplify: Simplify 0 into 0 1544871542.946 * [misc]backup-simplify: Simplify 0 into 0 1544871542.946 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871542.947 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871542.948 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544871542.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544871542.949 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1544871542.950 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1544871542.951 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt n) (log n))) +nan.0) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) 1544871542.951 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) 1544871542.951 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.952 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544871542.956 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544871542.956 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544871542.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.956 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1544871542.957 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 1544871542.959 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871542.959 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544871542.959 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.959 * [misc]backup-simplify: Simplify 0 into 0 1544871542.959 * [misc]backup-simplify: Simplify 0 into 0 1544871542.959 * [misc]backup-simplify: Simplify 0 into 0 1544871542.959 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.960 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871542.962 * [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 1544871542.962 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544871542.962 * [misc]backup-simplify: Simplify (- 0) into 0 1544871542.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1544871542.964 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1544871542.966 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt n) (log n))) +nan.0) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) +nan.0) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) 1544871542.967 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) into (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) 1544871542.970 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (+ (* +nan.0 (* (sqrt n) (pow (log n) 2))) (- (* +nan.0 (sqrt n))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt n) (log n))) (- (* +nan.0 (sqrt n))))) (* k 1)) (- (* +nan.0 (sqrt n))))) into (- (+ (* +nan.0 (* (sqrt n) k)) (- (+ (* +nan.0 (* (sqrt n) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow k 2))) (- (+ (* +nan.0 (sqrt n)) (- (* +nan.0 (* (sqrt n) (* (log n) (pow k 2))))))))))))))) 1544871542.970 * [misc]backup-simplify: Simplify (/ (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt (/ 1 k))) into (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) 1544871542.970 * [misc]approximate: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in (n k) around 0 1544871542.970 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in k 1544871542.971 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.971 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.971 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.971 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of k in k 1544871542.971 * [misc]backup-simplify: Simplify 0 into 0 1544871542.971 * [misc]backup-simplify: Simplify 1 into 1 1544871542.971 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.971 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544871542.971 * [misc]taylor: Taking taylor expansion of n in k 1544871542.971 * [misc]backup-simplify: Simplify n into n 1544871542.971 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544871542.971 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1544871542.971 * [misc]backup-simplify: Simplify (* -1/2 1) into -1/2 1544871542.972 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 1544871542.972 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1544871542.972 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) into (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) 1544871542.972 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871542.972 * [misc]taylor: Taking taylor expansion of k in k 1544871542.972 * [misc]backup-simplify: Simplify 0 into 0 1544871542.972 * [misc]backup-simplify: Simplify 1 into 1 1544871542.972 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.972 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.972 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in n 1544871542.972 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.972 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.972 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.973 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.973 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.973 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.973 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.973 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.973 * [misc]taylor: Taking taylor expansion of k in n 1544871542.973 * [misc]backup-simplify: Simplify k into k 1544871542.973 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.973 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.973 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.973 * [misc]taylor: Taking taylor expansion of n in n 1544871542.973 * [misc]backup-simplify: Simplify 0 into 0 1544871542.973 * [misc]backup-simplify: Simplify 1 into 1 1544871542.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.973 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.973 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.973 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.973 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.973 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.974 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.974 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of k in n 1544871542.974 * [misc]backup-simplify: Simplify k into k 1544871542.974 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544871542.974 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544871542.974 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) (sqrt k)) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (fma -1/2 (/ 1 k) 1/2)) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n)))) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ 1 k) 1/2) (log (/ 1 n))) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ 1 k) 1/2) in n 1544871542.974 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ 1 k)) 1/2) 1544871542.974 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ 1 k)) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871542.974 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of k in n 1544871542.974 * [misc]backup-simplify: Simplify k into k 1544871542.974 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544871542.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871542.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.974 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544871542.974 * [misc]taylor: Taking taylor expansion of n in n 1544871542.974 * [misc]backup-simplify: Simplify 0 into 0 1544871542.974 * [misc]backup-simplify: Simplify 1 into 1 1544871542.974 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.974 * [misc]backup-simplify: Simplify (log 1) into 0 1544871542.974 * [misc]backup-simplify: Simplify (* -1/2 (/ 1 k)) into (/ -1/2 k) 1544871542.974 * [misc]backup-simplify: Simplify (+ (/ -1/2 k) 1/2) into (- 1/2 (* 1/2 (/ 1 k))) 1544871542.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.975 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1544871542.975 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.975 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544871542.975 * [misc]taylor: Taking taylor expansion of k in n 1544871542.975 * [misc]backup-simplify: Simplify k into k 1544871542.975 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544871542.975 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544871542.975 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt k)) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt k)) 1544871542.975 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt k)) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.975 * [misc]backup-simplify: Simplify -1 into -1 1544871542.975 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.975 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871542.975 * [misc]taylor: Taking taylor expansion of k in k 1544871542.975 * [misc]backup-simplify: Simplify 0 into 0 1544871542.975 * [misc]backup-simplify: Simplify 1 into 1 1544871542.976 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871542.976 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871542.976 * [misc]taylor: Taking taylor expansion of n in k 1544871542.976 * [misc]backup-simplify: Simplify n into n 1544871542.976 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871542.976 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871542.976 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544871542.976 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544871542.976 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1544871542.976 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1544871542.976 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1544871542.976 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544871542.976 * [misc]taylor: Taking taylor expansion of k in k 1544871542.976 * [misc]backup-simplify: Simplify 0 into 0 1544871542.976 * [misc]backup-simplify: Simplify 1 into 1 1544871542.976 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871542.977 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544871542.977 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) into 0 1544871542.977 * [misc]backup-simplify: Simplify 0 into 0 1544871542.977 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544871542.979 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544871542.979 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544871542.979 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ 1 k))) into 0 1544871542.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.979 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.979 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1544871542.980 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871542.980 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (sqrt k))) into 0 1544871542.980 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.980 * [misc]backup-simplify: Simplify 0 into 0 1544871542.980 * [misc]backup-simplify: Simplify 0 into 0 1544871542.980 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1544871542.981 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1544871542.981 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544871542.981 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.984 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544871542.984 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.984 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544871542.984 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.985 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.985 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1544871542.986 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871542.986 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544871542.986 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.986 * [misc]backup-simplify: Simplify 0 into 0 1544871542.986 * [misc]backup-simplify: Simplify 0 into 0 1544871542.986 * [misc]backup-simplify: Simplify 0 into 0 1544871542.987 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871542.987 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1544871542.987 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1544871542.988 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544871542.988 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871542.992 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544871542.992 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871542.993 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544871542.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871542.993 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1544871542.993 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1544871542.995 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544871542.995 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544871542.995 * [misc]taylor: Taking taylor expansion of 0 in k 1544871542.996 * [misc]backup-simplify: Simplify 0 into 0 1544871542.996 * [misc]backup-simplify: Simplify 0 into 0 1544871542.996 * [misc]backup-simplify: Simplify 0 into 0 1544871542.996 * [misc]backup-simplify: Simplify 0 into 0 1544871542.996 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871542.997 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1544871542.997 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) 1544871542.998 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 3)))))))) 1544871542.998 * [misc]backup-simplify: Simplify (/ (pow (/ 1 (- n)) (fma -1/2 (/ 1 (- k)) 1/2)) (sqrt (/ 1 (- k)))) into (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) 1544871542.998 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544871542.998 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in k 1544871542.998 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871542.998 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of -1/2 in k 1544871542.998 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871542.998 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.998 * [misc]backup-simplify: Simplify -1 into -1 1544871542.998 * [misc]taylor: Taking taylor expansion of k in k 1544871542.998 * [misc]backup-simplify: Simplify 0 into 0 1544871542.998 * [misc]backup-simplify: Simplify 1 into 1 1544871542.998 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.998 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871542.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871542.998 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1544871542.998 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.998 * [misc]backup-simplify: Simplify -1 into -1 1544871542.998 * [misc]taylor: Taking taylor expansion of n in k 1544871542.998 * [misc]backup-simplify: Simplify n into n 1544871542.999 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1544871542.999 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1544871542.999 * [misc]backup-simplify: Simplify (* -1/2 -1) into 1/2 1544871542.999 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871542.999 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1544871542.999 * [misc]backup-simplify: Simplify (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) into (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) 1544871542.999 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871542.999 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871542.999 * [misc]taylor: Taking taylor expansion of -1 in k 1544871542.999 * [misc]backup-simplify: Simplify -1 into -1 1544871542.999 * [misc]taylor: Taking taylor expansion of k in k 1544871542.999 * [misc]backup-simplify: Simplify 0 into 0 1544871542.999 * [misc]backup-simplify: Simplify 1 into 1 1544871542.999 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871542.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871543.000 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871543.000 * [misc]backup-simplify: Simplify (/ (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (/ -1 n)) (fma -1/2 (/ -1 k) 1/2)))) 1544871543.000 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871543.000 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871543.000 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871543.000 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871543.000 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of -1 in n 1544871543.000 * [misc]backup-simplify: Simplify -1 into -1 1544871543.000 * [misc]taylor: Taking taylor expansion of k in n 1544871543.000 * [misc]backup-simplify: Simplify k into k 1544871543.000 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871543.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871543.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871543.000 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871543.000 * [misc]taylor: Taking taylor expansion of -1 in n 1544871543.000 * [misc]backup-simplify: Simplify -1 into -1 1544871543.000 * [misc]taylor: Taking taylor expansion of n in n 1544871543.000 * [misc]backup-simplify: Simplify 0 into 0 1544871543.000 * [misc]backup-simplify: Simplify 1 into 1 1544871543.000 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871543.001 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871543.001 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871543.001 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871543.001 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871543.001 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871543.001 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871543.001 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544871543.001 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871543.001 * [misc]taylor: Taking taylor expansion of -1 in n 1544871543.001 * [misc]backup-simplify: Simplify -1 into -1 1544871543.001 * [misc]taylor: Taking taylor expansion of k in n 1544871543.001 * [misc]backup-simplify: Simplify k into k 1544871543.001 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871543.002 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544871543.002 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871543.002 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544871543.002 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) 1544871543.002 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) (sqrt (/ -1 k))) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (fma -1/2 (/ -1 k) 1/2)) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of (exp (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n)))) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of (* (fma -1/2 (/ -1 k) 1/2) (log (/ -1 n))) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of (fma -1/2 (/ -1 k) 1/2) in n 1544871543.002 * [misc]taylor: Rewrote expression to (+ (* -1/2 (/ -1 k)) 1/2) 1544871543.002 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ -1 k)) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544871543.002 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544871543.002 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of -1 in n 1544871543.002 * [misc]backup-simplify: Simplify -1 into -1 1544871543.002 * [misc]taylor: Taking taylor expansion of k in n 1544871543.002 * [misc]backup-simplify: Simplify k into k 1544871543.002 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871543.002 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544871543.002 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871543.002 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1544871543.002 * [misc]taylor: Taking taylor expansion of -1 in n 1544871543.002 * [misc]backup-simplify: Simplify -1 into -1 1544871543.002 * [misc]taylor: Taking taylor expansion of n in n 1544871543.002 * [misc]backup-simplify: Simplify 0 into 0 1544871543.002 * [misc]backup-simplify: Simplify 1 into 1 1544871543.002 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871543.003 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871543.003 * [misc]backup-simplify: Simplify (* -1/2 (/ -1 k)) into (/ 1/2 k) 1544871543.003 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544871543.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871543.003 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1544871543.003 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871543.003 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544871543.003 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544871543.003 * [misc]taylor: Taking taylor expansion of -1 in n 1544871543.003 * [misc]backup-simplify: Simplify -1 into -1 1544871543.003 * [misc]taylor: Taking taylor expansion of k in n 1544871543.004 * [misc]backup-simplify: Simplify k into k 1544871543.004 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544871543.004 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544871543.004 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871543.004 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544871543.004 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) 1544871543.004 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) in k 1544871543.004 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1544871543.004 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1544871543.004 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544871543.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544871543.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871543.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871543.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544871543.004 * [misc]taylor: Taking taylor expansion of k in k 1544871543.004 * [misc]backup-simplify: Simplify 0 into 0 1544871543.004 * [misc]backup-simplify: Simplify 1 into 1 1544871543.005 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544871543.005 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544871543.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544871543.005 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1544871543.005 * [misc]taylor: Taking taylor expansion of (log -1) in k 1544871543.005 * [misc]taylor: Taking taylor expansion of -1 in k 1544871543.005 * [misc]backup-simplify: Simplify -1 into -1 1544871543.005 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1544871543.005 * [misc]taylor: Taking taylor expansion of (log n) in k 1544871543.005 * [misc]taylor: Taking taylor expansion of n in k 1544871543.005 * [misc]backup-simplify: Simplify n into n 1544871543.005 * [misc]backup-simplify: Simplify (log n) into (log n) 1544871543.005 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544871543.005 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544871543.005 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544871543.005 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1544871543.005 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1544871543.006 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1544871543.006 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544871543.006 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544871543.006 * [misc]taylor: Taking taylor expansion of -1 in k 1544871543.006 * [misc]backup-simplify: Simplify -1 into -1 1544871543.006 * [misc]taylor: Taking taylor expansion of k in k 1544871543.006 * [misc]backup-simplify: Simplify 0 into 0 1544871543.006 * [misc]backup-simplify: Simplify 1 into 1 1544871543.006 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544871543.006 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544871543.006 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544871543.006 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871543.007 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1544871543.007 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871543.008 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1544871543.009 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544871543.009 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ -1 k))) into 0 1544871543.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871543.009 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871543.009 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1544871543.010 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544871543.010 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544871543.011 * [misc]taylor: Taking taylor expansion of 0 in k 1544871543.011 * [misc]backup-simplify: Simplify 0 into 0 1544871543.011 * [misc]backup-simplify: Simplify 0 into 0 1544871543.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544871543.012 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544871543.012 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871543.013 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871543.013 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871543.017 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1544871543.017 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871543.018 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ -1 k)))) into 0 1544871543.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544871543.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1544871543.019 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1544871543.021 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544871543.021 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544871543.021 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544871543.022 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544871543.022 * [misc]taylor: Taking taylor expansion of 0 in k 1544871543.022 * [misc]backup-simplify: Simplify 0 into 0 1544871543.022 * [misc]backup-simplify: Simplify 0 into 0 1544871543.022 * [misc]backup-simplify: Simplify 0 into 0 1544871543.023 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544871543.024 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544871543.025 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871543.026 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1544871543.030 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))))))))) 1544871543.030 * * * [misc]progress: simplifying candidates 1544871543.030 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1544871543.030 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1544871543.030 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1544871543.030 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1544871543.031 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1544871543.031 * * [misc]simplify: iters left: 2 (5 enodes) 1544871543.033 * * [misc]simplify: iters left: 1 (7 enodes) 1544871543.035 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1544871543.036 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow (pow n (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (sqrt k)))) 1544871543.036 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1544871543.036 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1544871543.036 * * [misc]simplify: iters left: 2 (5 enodes) 1544871543.038 * * [misc]simplify: iters left: 1 (7 enodes) 1544871543.040 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1544871543.040 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow (pow n (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (sqrt k)))) 1544871543.040 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1544871543.041 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871543.041 * * [misc]simplify: iters left: 1 (4 enodes) 1544871543.042 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871543.042 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow (pow n 1) (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.042 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1544871543.043 * [enter]simplify: Simplifying (pow n 1/2) 1544871543.043 * * [misc]simplify: iters left: 1 (3 enodes) 1544871543.044 * [exit]simplify: Simplified to (sqrt n) 1544871543.044 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (pow n (* -1/2 k)) (sqrt n)) (sqrt k)))) 1544871543.044 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1544871543.044 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1544871543.045 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1544871543.045 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1544871543.045 * [enter]simplify: Simplifying (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1544871543.045 * * [misc]simplify: iters left: 5 (9 enodes) 1544871543.050 * * [misc]simplify: iters left: 4 (16 enodes) 1544871543.057 * * [misc]simplify: iters left: 3 (31 enodes) 1544871543.068 * * [misc]simplify: iters left: 2 (72 enodes) 1544871543.106 * * [misc]simplify: iters left: 1 (184 enodes) 1544871543.265 * [exit]simplify: Simplified to (* (log (* 2 PI)) (fma -1/2 k 1/2)) 1544871543.265 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (log (* 2 PI)) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.265 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1544871543.265 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1544871543.266 * [enter]simplify: Simplifying (* 2 PI) 1544871543.266 * * [misc]simplify: iters left: 2 (3 enodes) 1544871543.268 * * [misc]simplify: iters left: 1 (4 enodes) 1544871543.269 * [exit]simplify: Simplified to (* 2 PI) 1544871543.269 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (pow (* 2 PI) (* 1 (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.269 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1544871543.270 * [enter]simplify: Simplifying (cbrt (fma -1/2 k 1/2)) 1544871543.270 * * [misc]simplify: iters left: 2 (5 enodes) 1544871543.272 * * [misc]simplify: iters left: 1 (7 enodes) 1544871543.275 * [exit]simplify: Simplified to (cbrt (fma -1/2 k 1/2)) 1544871543.275 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* 2 PI) (* (cbrt (fma -1/2 k 1/2)) (cbrt (fma -1/2 k 1/2)))) (cbrt (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.275 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1544871543.275 * [enter]simplify: Simplifying (sqrt (fma -1/2 k 1/2)) 1544871543.276 * * [misc]simplify: iters left: 2 (5 enodes) 1544871543.278 * * [misc]simplify: iters left: 1 (7 enodes) 1544871543.281 * [exit]simplify: Simplified to (sqrt (fma -1/2 k 1/2)) 1544871543.281 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* 2 PI) (sqrt (fma -1/2 k 1/2))) (sqrt (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.281 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1544871543.281 * [enter]simplify: Simplifying (fma -1/2 k 1/2) 1544871543.281 * * [misc]simplify: iters left: 1 (4 enodes) 1544871543.283 * [exit]simplify: Simplified to (fma -1/2 k 1/2) 1544871543.283 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow (* 2 PI) 1) (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.283 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1544871543.283 * [enter]simplify: Simplifying (pow (* 2 PI) 1/2) 1544871543.284 * * [misc]simplify: iters left: 3 (5 enodes) 1544871543.286 * * [misc]simplify: iters left: 2 (7 enodes) 1544871543.288 * [exit]simplify: Simplified to (sqrt (* 2 PI)) 1544871543.288 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow (* 2 PI) (* -1/2 k)) (sqrt (* 2 PI))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.288 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1544871543.289 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1544871543.289 * * [misc]simplify: iters left: 2 (6 enodes) 1544871543.291 * * [misc]simplify: iters left: 1 (8 enodes) 1544871543.295 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1544871543.295 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (pow 2 (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.296 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1544871543.296 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1544871543.296 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1544871543.296 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1544871543.296 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1544871543.296 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1544871543.297 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1544871543.297 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1544871543.297 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1544871543.297 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1544871543.297 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1544871543.297 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871543.299 * * [misc]simplify: iters left: 6 (16 enodes) 1544871543.308 * * [misc]simplify: iters left: 5 (31 enodes) 1544871543.324 * * [misc]simplify: iters left: 4 (65 enodes) 1544871543.376 * * [misc]simplify: iters left: 3 (211 enodes) 1544871543.580 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1544871543.580 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1544871543.580 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1544871543.580 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k)))) 1544871543.581 * * [misc]simplify: iters left: 6 (16 enodes) 1544871543.586 * * [misc]simplify: iters left: 5 (31 enodes) 1544871543.595 * * [misc]simplify: iters left: 4 (60 enodes) 1544871543.644 * * [misc]simplify: iters left: 3 (180 enodes) 1544871543.907 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871543.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1544871543.907 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1544871543.907 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871543.909 * * [misc]simplify: iters left: 6 (15 enodes) 1544871543.915 * * [misc]simplify: iters left: 5 (27 enodes) 1544871543.929 * * [misc]simplify: iters left: 4 (51 enodes) 1544871543.964 * * [misc]simplify: iters left: 3 (140 enodes) 1544871544.172 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1544871544.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))))) 1544871544.173 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1544871544.173 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871544.175 * * [misc]simplify: iters left: 6 (16 enodes) 1544871544.183 * * [misc]simplify: iters left: 5 (31 enodes) 1544871544.196 * * [misc]simplify: iters left: 4 (65 enodes) 1544871544.225 * * [misc]simplify: iters left: 3 (211 enodes) 1544871544.483 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))) 1544871544.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1544871544.483 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1544871544.483 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k)))) 1544871544.484 * * [misc]simplify: iters left: 6 (16 enodes) 1544871544.489 * * [misc]simplify: iters left: 5 (31 enodes) 1544871544.499 * * [misc]simplify: iters left: 4 (60 enodes) 1544871544.540 * * [misc]simplify: iters left: 3 (180 enodes) 1544871544.743 * [exit]simplify: Simplified to (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871544.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* 2 PI)) (fma -1/2 k 1/2) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))))) 1544871544.743 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1544871544.744 * [enter]simplify: Simplifying (+ (* (log (* 2 PI)) (fma -1/2 k 1/2)) (log (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871544.746 * * [misc]simplify: iters left: 6 (15 enodes) 1544871544.753 * * [misc]simplify: iters left: 5 (27 enodes) 1544871544.764 * * [misc]simplify: iters left: 4 (51 enodes) 1544871544.792 * * [misc]simplify: iters left: 3 (140 enodes) 1544871544.979 * [exit]simplify: Simplified to (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))) 1544871544.979 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (fma -1/2 k 1/2) (log (* 2 PI)) (* (log n) (fma -1/2 k 1/2))) (log (sqrt k))))) 1544871544.979 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1544871544.980 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k)))) 1544871544.982 * * [misc]simplify: iters left: 6 (16 enodes) 1544871544.989 * * [misc]simplify: iters left: 5 (28 enodes) 1544871545.003 * * [misc]simplify: iters left: 4 (53 enodes) 1544871545.040 * * [misc]simplify: iters left: 3 (129 enodes) 1544871545.169 * * [misc]simplify: iters left: 2 (436 enodes) 1544871545.946 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1544871545.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1544871545.947 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1544871545.947 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k)))) 1544871545.948 * * [misc]simplify: iters left: 6 (16 enodes) 1544871545.952 * * [misc]simplify: iters left: 5 (28 enodes) 1544871545.964 * * [misc]simplify: iters left: 4 (48 enodes) 1544871545.978 * * [misc]simplify: iters left: 3 (98 enodes) 1544871546.049 * * [misc]simplify: iters left: 2 (378 enodes) 1544871546.783 * [exit]simplify: Simplified to (fma (+ (log (* 2 PI)) (log n)) (fma -1/2 k 1/2) (- (log (sqrt k)))) 1544871546.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log (* 2 PI)) (log n)) (fma -1/2 k 1/2) (- (log (sqrt k)))))) 1544871546.783 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1544871546.784 * [enter]simplify: Simplifying (+ (log (pow (* 2 PI) (fma -1/2 k 1/2))) (log (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871546.785 * * [misc]simplify: iters left: 6 (15 enodes) 1544871546.792 * * [misc]simplify: iters left: 5 (24 enodes) 1544871546.803 * * [misc]simplify: iters left: 4 (40 enodes) 1544871546.819 * * [misc]simplify: iters left: 3 (74 enodes) 1544871546.857 * * [misc]simplify: iters left: 2 (264 enodes) 1544871547.743 * [exit]simplify: Simplified to (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))) 1544871547.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (fma -1/2 k 1/2) (+ (log (* 2 PI)) (log n)) (- (log (sqrt k)))))) 1544871547.743 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1544871547.743 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1544871547.743 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1544871547.743 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544871547.745 * * [misc]simplify: iters left: 6 (19 enodes) 1544871547.750 * * [misc]simplify: iters left: 5 (37 enodes) 1544871547.765 * * [misc]simplify: iters left: 4 (113 enodes) 1544871547.836 * * [misc]simplify: iters left: 3 (435 enodes) 1544871548.597 * [exit]simplify: Simplified to (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* k (sqrt k)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1544871548.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (* k (sqrt k)) (pow n (fma -1/2 k 1/2)))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1544871548.598 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1544871548.598 * [enter]simplify: Simplifying (* (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (* (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871548.600 * * [misc]simplify: iters left: 6 (17 enodes) 1544871548.609 * * [misc]simplify: iters left: 5 (33 enodes) 1544871548.631 * * [misc]simplify: iters left: 4 (90 enodes) 1544871548.697 * * [misc]simplify: iters left: 3 (233 enodes) 1544871548.941 * [exit]simplify: Simplified to (* (/ (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) (/ k (pow n (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))) 1544871548.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) (/ k (pow n (fma -1/2 k 1/2)))) (* (* (pow n (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow (* 2 PI) (fma -1/2 k 1/2))))))) 1544871548.942 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1544871548.942 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1544871548.942 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1544871548.942 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1544871548.942 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1544871548.942 * [enter]simplify: Simplifying (cbrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) 1544871548.943 * * [misc]simplify: iters left: 5 (9 enodes) 1544871548.947 * * [misc]simplify: iters left: 4 (11 enodes) 1544871548.951 * * [misc]simplify: iters left: 3 (13 enodes) 1544871548.956 * * [misc]simplify: iters left: 2 (14 enodes) 1544871548.961 * [exit]simplify: Simplified to (cbrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))) 1544871548.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (cbrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) (cbrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) (cbrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1544871548.961 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1544871548.961 * [enter]simplify: Simplifying (sqrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k))) 1544871548.962 * * [misc]simplify: iters left: 5 (9 enodes) 1544871548.965 * * [misc]simplify: iters left: 4 (11 enodes) 1544871548.969 * * [misc]simplify: iters left: 3 (13 enodes) 1544871548.973 * * [misc]simplify: iters left: 2 (14 enodes) 1544871548.978 * [exit]simplify: Simplified to (sqrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))) 1544871548.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (sqrt (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) (sqrt (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1544871548.978 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1544871548.978 * [enter]simplify: Simplifying (/ (pow n 1/2) (cbrt (sqrt k))) 1544871548.979 * * [misc]simplify: iters left: 4 (7 enodes) 1544871548.981 * * [misc]simplify: iters left: 3 (8 enodes) 1544871548.984 * [exit]simplify: Simplified to (/ (sqrt n) (cbrt (sqrt k))) 1544871548.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt n) (cbrt (sqrt k))))) 1544871548.984 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1544871548.985 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt (sqrt k))) 1544871548.985 * * [misc]simplify: iters left: 4 (7 enodes) 1544871548.988 * * [misc]simplify: iters left: 3 (8 enodes) 1544871548.991 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1544871548.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* -1/2 k)) (sqrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k))))) 1544871548.991 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1544871548.991 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt k)) 1544871548.991 * * [misc]simplify: iters left: 3 (6 enodes) 1544871548.994 * * [misc]simplify: iters left: 2 (7 enodes) 1544871548.996 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt k)) 1544871548.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* -1/2 k)) 1)) (/ (sqrt n) (sqrt k)))) 1544871548.996 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1544871548.997 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1544871548.997 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.001 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.005 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.010 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.015 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1544871549.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1544871549.015 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1544871549.016 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1544871549.017 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.021 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.026 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.030 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.035 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1544871549.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k)))) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1544871549.035 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1544871549.037 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1544871549.038 * * [misc]simplify: iters left: 5 (9 enodes) 1544871549.041 * * [misc]simplify: iters left: 4 (11 enodes) 1544871549.045 * * [misc]simplify: iters left: 3 (13 enodes) 1544871549.049 * * [misc]simplify: iters left: 2 (14 enodes) 1544871549.054 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1544871549.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1)) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k)))) 1544871549.055 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1544871549.055 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1544871549.056 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.057 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.059 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.061 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.064 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1544871549.064 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))))) 1544871549.064 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1544871549.064 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1544871549.065 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.066 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.068 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.071 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.073 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1544871549.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))))) 1544871549.073 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1544871549.073 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1544871549.074 * * [misc]simplify: iters left: 5 (9 enodes) 1544871549.075 * * [misc]simplify: iters left: 4 (11 enodes) 1544871549.077 * * [misc]simplify: iters left: 3 (13 enodes) 1544871549.079 * * [misc]simplify: iters left: 2 (14 enodes) 1544871549.082 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1544871549.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma -1/2 k 1/2))) 1)) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k)))) 1544871549.082 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1544871549.082 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1544871549.082 * * [misc]simplify: iters left: 4 (9 enodes) 1544871549.084 * * [misc]simplify: iters left: 3 (11 enodes) 1544871549.088 * * [misc]simplify: iters left: 2 (13 enodes) 1544871549.092 * * [misc]simplify: iters left: 1 (14 enodes) 1544871549.097 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1544871549.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))))) 1544871549.097 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1544871549.097 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1544871549.098 * * [misc]simplify: iters left: 4 (9 enodes) 1544871549.101 * * [misc]simplify: iters left: 3 (11 enodes) 1544871549.105 * * [misc]simplify: iters left: 2 (13 enodes) 1544871549.110 * * [misc]simplify: iters left: 1 (14 enodes) 1544871549.115 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1544871549.115 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ 1 (sqrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))))) 1544871549.115 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1544871549.115 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1544871549.116 * * [misc]simplify: iters left: 4 (8 enodes) 1544871549.119 * * [misc]simplify: iters left: 3 (10 enodes) 1544871549.123 * * [misc]simplify: iters left: 2 (12 enodes) 1544871549.127 * * [misc]simplify: iters left: 1 (13 enodes) 1544871549.132 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1544871549.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ 1 1)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1544871549.132 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1544871549.132 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1544871549.133 * * [misc]simplify: iters left: 4 (8 enodes) 1544871549.136 * * [misc]simplify: iters left: 3 (10 enodes) 1544871549.139 * * [misc]simplify: iters left: 2 (12 enodes) 1544871549.143 * * [misc]simplify: iters left: 1 (13 enodes) 1544871549.147 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1544871549.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) 1) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1544871549.147 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1544871549.148 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544871549.150 * * [misc]simplify: iters left: 3 (4 enodes) 1544871549.151 * * [misc]simplify: iters left: 2 (6 enodes) 1544871549.153 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544871549.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (/ 1 (sqrt k)))) 1544871549.153 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1544871549.154 * [enter]simplify: Simplifying (pow (* 2 PI) (* -1/2 k)) 1544871549.154 * * [misc]simplify: iters left: 3 (7 enodes) 1544871549.157 * * [misc]simplify: iters left: 2 (9 enodes) 1544871549.160 * [exit]simplify: Simplified to (pow (* 2 PI) (* -1/2 k)) 1544871549.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow (* 2 PI) (* -1/2 k)) (* (pow (* 2 PI) 1/2) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1544871549.160 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1544871549.160 * [enter]simplify: Simplifying (pow 2 (fma -1/2 k 1/2)) 1544871549.161 * * [misc]simplify: iters left: 2 (6 enodes) 1544871549.163 * * [misc]simplify: iters left: 1 (8 enodes) 1544871549.167 * [exit]simplify: Simplified to (pow 2 (fma -1/2 k 1/2)) 1544871549.167 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow 2 (fma -1/2 k 1/2)) (* (pow PI (fma -1/2 k 1/2)) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1544871549.167 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1544871549.167 * [enter]simplify: Simplifying (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1544871549.168 * * [misc]simplify: iters left: 6 (10 enodes) 1544871549.172 * * [misc]simplify: iters left: 5 (13 enodes) 1544871549.176 * * [misc]simplify: iters left: 4 (15 enodes) 1544871549.180 * * [misc]simplify: iters left: 3 (16 enodes) 1544871549.183 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) 1544871549.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (cbrt (pow (* 2 PI) (fma -1/2 k 1/2)))) (* (cbrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1544871549.183 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1544871549.183 * [enter]simplify: Simplifying (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1544871549.184 * * [misc]simplify: iters left: 4 (9 enodes) 1544871549.186 * * [misc]simplify: iters left: 3 (12 enodes) 1544871549.188 * * [misc]simplify: iters left: 2 (14 enodes) 1544871549.190 * * [misc]simplify: iters left: 1 (15 enodes) 1544871549.193 * [exit]simplify: Simplified to (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) 1544871549.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (* (sqrt (pow (* 2 PI) (fma -1/2 k 1/2))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1544871549.193 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1544871549.193 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1544871549.193 * [enter]simplify: Simplifying (sqrt k) 1544871549.193 * * [misc]simplify: iters left: 1 (2 enodes) 1544871549.194 * [exit]simplify: Simplified to (sqrt k) 1544871549.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544871549.194 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1544871549.194 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1544871549.194 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1544871549.194 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1544871549.194 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1544871549.194 * [enter]simplify: Simplifying (- (* (log n) (fma -1/2 k 1/2)) (log (sqrt k))) 1544871549.195 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.197 * * [misc]simplify: iters left: 4 (16 enodes) 1544871549.200 * * [misc]simplify: iters left: 3 (26 enodes) 1544871549.207 * * [misc]simplify: iters left: 2 (51 enodes) 1544871549.219 * * [misc]simplify: iters left: 1 (80 enodes) 1544871549.240 * [exit]simplify: Simplified to (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k))) 1544871549.240 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (exp (- (* (fma -1/2 k 1/2) (log n)) (log (sqrt k)))))) 1544871549.240 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1544871549.241 * [enter]simplify: Simplifying (- (log (pow n (fma -1/2 k 1/2))) (log (sqrt k))) 1544871549.243 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.246 * * [misc]simplify: iters left: 4 (16 enodes) 1544871549.249 * * [misc]simplify: iters left: 3 (21 enodes) 1544871549.252 * * [misc]simplify: iters left: 2 (31 enodes) 1544871549.261 * * [misc]simplify: iters left: 1 (67 enodes) 1544871549.283 * [exit]simplify: Simplified to (- (* (fma k -1/2 1/2) (log n)) (log (sqrt k))) 1544871549.284 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (exp (- (* (fma k -1/2 1/2) (log n)) (log (sqrt k)))))) 1544871549.284 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1544871549.284 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1544871549.284 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1544871549.284 * [enter]simplify: Simplifying (/ (* (* (pow n (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (pow n (fma -1/2 k 1/2))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544871549.285 * * [misc]simplify: iters left: 6 (12 enodes) 1544871549.292 * * [misc]simplify: iters left: 5 (23 enodes) 1544871549.303 * * [misc]simplify: iters left: 4 (52 enodes) 1544871549.332 * * [misc]simplify: iters left: 3 (108 enodes) 1544871549.392 * * [misc]simplify: iters left: 2 (185 enodes) 1544871549.479 * * [misc]simplify: iters left: 1 (301 enodes) 1544871549.678 * [exit]simplify: Simplified to (/ (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2)))) 1544871549.678 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (cbrt (/ (* (pow n (fma k -1/2 1/2)) (pow n (fma k -1/2 1/2))) (/ (* k (sqrt k)) (pow n (fma k -1/2 1/2))))))) 1544871549.678 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1544871549.678 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1544871549.678 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1544871549.678 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1544871549.678 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1544871549.678 * [enter]simplify: Simplifying (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871549.679 * * [misc]simplify: iters left: 6 (9 enodes) 1544871549.681 * * [misc]simplify: iters left: 5 (12 enodes) 1544871549.683 * [exit]simplify: Simplified to (/ (pow n (* k -1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871549.683 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* k -1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n 1/2) (cbrt (sqrt k)))))) 1544871549.684 * [enter]simplify: Simplifying (/ (pow n 1/2) (cbrt (sqrt k))) 1544871549.684 * * [misc]simplify: iters left: 4 (7 enodes) 1544871549.685 * * [misc]simplify: iters left: 3 (8 enodes) 1544871549.687 * [exit]simplify: Simplified to (/ (sqrt n) (cbrt (sqrt k))) 1544871549.687 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt k)))))) 1544871549.687 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1544871549.687 * [enter]simplify: Simplifying (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) 1544871549.688 * * [misc]simplify: iters left: 5 (8 enodes) 1544871549.692 * * [misc]simplify: iters left: 4 (9 enodes) 1544871549.696 * [exit]simplify: Simplified to (/ (pow n (* k -1/2)) (sqrt (sqrt k))) 1544871549.696 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* k -1/2)) (sqrt (sqrt k))) (/ (pow n 1/2) (sqrt (sqrt k)))))) 1544871549.696 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt (sqrt k))) 1544871549.697 * * [misc]simplify: iters left: 4 (7 enodes) 1544871549.699 * * [misc]simplify: iters left: 3 (8 enodes) 1544871549.702 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1544871549.702 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (pow n (* -1/2 k)) (sqrt (sqrt k))) (/ (sqrt n) (sqrt (sqrt k)))))) 1544871549.702 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1544871549.702 * [enter]simplify: Simplifying (/ (pow n (* -1/2 k)) 1) 1544871549.703 * * [misc]simplify: iters left: 5 (7 enodes) 1544871549.706 * * [misc]simplify: iters left: 4 (10 enodes) 1544871549.710 * * [misc]simplify: iters left: 3 (12 enodes) 1544871549.713 * [exit]simplify: Simplified to (pow n (* k -1/2)) 1544871549.713 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* k -1/2)) (/ (pow n 1/2) (sqrt k))))) 1544871549.714 * [enter]simplify: Simplifying (/ (pow n 1/2) (sqrt k)) 1544871549.714 * * [misc]simplify: iters left: 3 (6 enodes) 1544871549.716 * * [misc]simplify: iters left: 2 (7 enodes) 1544871549.719 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt k)) 1544871549.719 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (pow n (* k -1/2)) (/ (sqrt n) (sqrt k))))) 1544871549.719 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1544871549.719 * [enter]simplify: Simplifying (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871549.720 * * [misc]simplify: iters left: 6 (12 enodes) 1544871549.725 * * [misc]simplify: iters left: 5 (20 enodes) 1544871549.734 * * [misc]simplify: iters left: 4 (31 enodes) 1544871549.745 * * [misc]simplify: iters left: 3 (35 enodes) 1544871549.755 * * [misc]simplify: iters left: 2 (38 enodes) 1544871549.772 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))) 1544871549.772 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))) (/ (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1544871549.772 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1544871549.773 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.775 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.777 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.779 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.783 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1544871549.783 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1544871549.783 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1544871549.784 * [enter]simplify: Simplifying (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k))) 1544871549.784 * * [misc]simplify: iters left: 6 (11 enodes) 1544871549.786 * * [misc]simplify: iters left: 5 (15 enodes) 1544871549.789 * * [misc]simplify: iters left: 4 (19 enodes) 1544871549.793 * * [misc]simplify: iters left: 3 (21 enodes) 1544871549.797 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) (cbrt (pow n (fma k -1/2 1/2)))) 1544871549.797 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1544871549.797 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1544871549.798 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.799 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.801 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.804 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.806 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1544871549.806 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) (sqrt (sqrt k))) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1544871549.806 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1544871549.806 * [enter]simplify: Simplifying (/ (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1) 1544871549.807 * * [misc]simplify: iters left: 6 (10 enodes) 1544871549.809 * * [misc]simplify: iters left: 5 (16 enodes) 1544871549.812 * * [misc]simplify: iters left: 4 (24 enodes) 1544871549.816 * * [misc]simplify: iters left: 3 (27 enodes) 1544871549.820 * * [misc]simplify: iters left: 2 (32 enodes) 1544871549.824 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) 1544871549.824 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt k))))) 1544871549.824 * [enter]simplify: Simplifying (/ (cbrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1544871549.825 * * [misc]simplify: iters left: 5 (9 enodes) 1544871549.826 * * [misc]simplify: iters left: 4 (11 enodes) 1544871549.829 * * [misc]simplify: iters left: 3 (13 enodes) 1544871549.834 * * [misc]simplify: iters left: 2 (14 enodes) 1544871549.838 * [exit]simplify: Simplified to (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1544871549.838 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (cbrt (pow n (fma k -1/2 1/2))) (sqrt k))))) 1544871549.838 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1544871549.839 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871549.840 * * [misc]simplify: iters left: 6 (11 enodes) 1544871549.844 * * [misc]simplify: iters left: 5 (15 enodes) 1544871549.852 * * [misc]simplify: iters left: 4 (17 enodes) 1544871549.858 * * [misc]simplify: iters left: 3 (18 enodes) 1544871549.864 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871549.864 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma k -1/2 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k)))))) 1544871549.865 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (cbrt (sqrt k))) 1544871549.866 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.869 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.874 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.878 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.883 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k))) 1544871549.884 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma -1/2 k 1/2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow n (fma k -1/2 1/2))) (cbrt (sqrt k)))))) 1544871549.884 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1544871549.884 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1544871549.885 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.888 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.893 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.897 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.903 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1544871549.903 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k)))))) 1544871549.903 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) 1544871549.904 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.908 * * [misc]simplify: iters left: 4 (12 enodes) 1544871549.912 * * [misc]simplify: iters left: 3 (14 enodes) 1544871549.914 * * [misc]simplify: iters left: 2 (15 enodes) 1544871549.916 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k))) 1544871549.916 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt (sqrt k))) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt (sqrt k)))))) 1544871549.916 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1544871549.916 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) 1) 1544871549.917 * * [misc]simplify: iters left: 5 (9 enodes) 1544871549.918 * * [misc]simplify: iters left: 4 (13 enodes) 1544871549.921 * * [misc]simplify: iters left: 3 (17 enodes) 1544871549.923 * * [misc]simplify: iters left: 2 (18 enodes) 1544871549.925 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1544871549.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt k))))) 1544871549.926 * [enter]simplify: Simplifying (/ (sqrt (pow n (fma -1/2 k 1/2))) (sqrt k)) 1544871549.926 * * [misc]simplify: iters left: 5 (9 enodes) 1544871549.928 * * [misc]simplify: iters left: 4 (11 enodes) 1544871549.930 * * [misc]simplify: iters left: 3 (13 enodes) 1544871549.932 * * [misc]simplify: iters left: 2 (14 enodes) 1544871549.934 * [exit]simplify: Simplified to (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k)) 1544871549.934 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt (pow n (fma k -1/2 1/2))) (sqrt k))))) 1544871549.934 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1544871549.934 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544871549.934 * * [misc]simplify: iters left: 6 (6 enodes) 1544871549.936 * * [misc]simplify: iters left: 5 (10 enodes) 1544871549.937 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544871549.937 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k)))))) 1544871549.938 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (cbrt (sqrt k))) 1544871549.938 * * [misc]simplify: iters left: 4 (9 enodes) 1544871549.940 * * [misc]simplify: iters left: 3 (11 enodes) 1544871549.941 * * [misc]simplify: iters left: 2 (13 enodes) 1544871549.944 * * [misc]simplify: iters left: 1 (14 enodes) 1544871549.946 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k))) 1544871549.946 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (fma k -1/2 1/2)) (cbrt (sqrt k)))))) 1544871549.946 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1544871549.946 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544871549.946 * * [misc]simplify: iters left: 4 (5 enodes) 1544871549.947 * * [misc]simplify: iters left: 3 (7 enodes) 1544871549.948 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544871549.948 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k)))))) 1544871549.948 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) 1544871549.949 * * [misc]simplify: iters left: 4 (9 enodes) 1544871549.952 * * [misc]simplify: iters left: 3 (11 enodes) 1544871549.953 * * [misc]simplify: iters left: 2 (13 enodes) 1544871549.955 * * [misc]simplify: iters left: 1 (14 enodes) 1544871549.958 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k))) 1544871549.958 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow n (fma k -1/2 1/2)) (sqrt (sqrt k)))))) 1544871549.958 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1544871549.958 * [enter]simplify: Simplifying (/ 1 1) 1544871549.958 * * [misc]simplify: iters left: 2 (2 enodes) 1544871549.959 * * [misc]simplify: iters left: 1 (4 enodes) 1544871549.959 * [exit]simplify: Simplified to 1 1544871549.959 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* 1 (/ (pow n (fma -1/2 k 1/2)) (sqrt k))))) 1544871549.959 * [enter]simplify: Simplifying (/ (pow n (fma -1/2 k 1/2)) (sqrt k)) 1544871549.960 * * [misc]simplify: iters left: 4 (8 enodes) 1544871549.961 * * [misc]simplify: iters left: 3 (10 enodes) 1544871549.963 * * [misc]simplify: iters left: 2 (12 enodes) 1544871549.965 * * [misc]simplify: iters left: 1 (13 enodes) 1544871549.967 * [exit]simplify: Simplified to (/ (pow n (fma k -1/2 1/2)) (sqrt k)) 1544871549.967 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (* 1 (/ (pow n (fma k -1/2 1/2)) (sqrt k))))) 1544871549.967 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1544871549.967 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1544871549.967 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1544871549.967 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1544871549.967 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544871549.967 * * [misc]simplify: iters left: 2 (3 enodes) 1544871549.968 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544871549.968 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (/ (pow n (fma -1/2 k 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1544871549.968 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1544871549.968 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544871549.968 * * [misc]simplify: iters left: 2 (3 enodes) 1544871549.969 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544871549.969 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (/ (pow n (fma -1/2 k 1/2)) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544871549.969 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1544871549.969 * [enter]simplify: Simplifying (sqrt k) 1544871549.969 * * [misc]simplify: iters left: 1 (2 enodes) 1544871549.969 * [exit]simplify: Simplified to (sqrt k) 1544871549.969 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (/ (pow n (fma -1/2 k 1/2)) 1) (sqrt k)))) 1544871549.969 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1544871549.969 * [enter]simplify: Simplifying (pow n (* -1/2 k)) 1544871549.970 * * [misc]simplify: iters left: 3 (5 enodes) 1544871549.971 * * [misc]simplify: iters left: 2 (6 enodes) 1544871549.972 * [exit]simplify: Simplified to (pow n (* k -1/2)) 1544871549.972 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (* k -1/2)) (/ (sqrt k) (pow n 1/2))))) 1544871549.972 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1544871549.972 * [enter]simplify: Simplifying (* (cbrt (pow n (fma -1/2 k 1/2))) (cbrt (pow n (fma -1/2 k 1/2)))) 1544871549.972 * * [misc]simplify: iters left: 5 (8 enodes) 1544871549.974 * * [misc]simplify: iters left: 4 (10 enodes) 1544871549.975 * * [misc]simplify: iters left: 3 (12 enodes) 1544871549.977 * * [misc]simplify: iters left: 2 (13 enodes) 1544871549.979 * [exit]simplify: Simplified to (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) 1544871549.979 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (* (cbrt (pow n (fma k -1/2 1/2))) (cbrt (pow n (fma k -1/2 1/2)))) (/ (sqrt k) (cbrt (pow n (fma -1/2 k 1/2))))))) 1544871549.979 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1544871549.980 * [enter]simplify: Simplifying (sqrt (pow n (fma -1/2 k 1/2))) 1544871549.980 * * [misc]simplify: iters left: 3 (7 enodes) 1544871549.981 * * [misc]simplify: iters left: 2 (9 enodes) 1544871549.983 * * [misc]simplify: iters left: 1 (11 enodes) 1544871549.986 * [exit]simplify: Simplified to (sqrt (pow n (fma k -1/2 1/2))) 1544871549.986 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (sqrt (pow n (fma k -1/2 1/2))) (/ (sqrt k) (sqrt (pow n (fma -1/2 k 1/2))))))) 1544871549.986 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1544871549.986 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1544871549.987 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1544871549.988 * * [misc]simplify: iters left: 6 (18 enodes) 1544871549.998 * * [misc]simplify: iters left: 5 (39 enodes) 1544871550.026 * * [misc]simplify: iters left: 4 (119 enodes) 1544871550.096 * * [misc]simplify: iters left: 3 (334 enodes) 1544871550.381 * [exit]simplify: Simplified to (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) 1544871550.381 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (fma (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8) (fma (* -1/2 (sqrt n)) (* k (log n)) (sqrt n))) (sqrt k)))) 1544871550.381 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1544871550.381 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1544871550.383 * * [misc]simplify: iters left: 6 (12 enodes) 1544871550.391 * * [misc]simplify: iters left: 5 (28 enodes) 1544871550.408 * * [misc]simplify: iters left: 4 (67 enodes) 1544871550.455 * * [misc]simplify: iters left: 3 (180 enodes) 1544871550.614 * [exit]simplify: Simplified to (pow n (fma -1/2 k 1/2)) 1544871550.614 * [misc]simplify: Simplified (2 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)))) 1544871550.614 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1544871550.614 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1544871550.616 * * [misc]simplify: iters left: 6 (12 enodes) 1544871550.622 * * [misc]simplify: iters left: 5 (22 enodes) 1544871550.635 * * [misc]simplify: iters left: 4 (52 enodes) 1544871550.672 * * [misc]simplify: iters left: 3 (149 enodes) 1544871550.753 * * [misc]simplify: iters left: 2 (453 enodes) 1544871551.633 * [exit]simplify: Simplified to (pow n (fma k -1/2 1/2)) 1544871551.633 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (/ (pow n (fma k -1/2 1/2)) (sqrt k)))) 1544871551.633 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1544871551.634 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI)))) 1544871551.635 * * [misc]simplify: iters left: 6 (22 enodes) 1544871551.643 * * [misc]simplify: iters left: 5 (55 enodes) 1544871551.664 * * [misc]simplify: iters left: 4 (175 enodes) 1544871551.903 * [exit]simplify: Simplified to (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) 1544871551.903 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (fma (* -1/2 (* (log (* PI 2)) (* (sqrt 2) k))) (sqrt PI) (fma (* (* (log (* PI 2)) (* (* k k) (sqrt 2))) (* (log (* PI 2)) 1/8)) (sqrt PI) (sqrt (* PI 2)))) (/ (pow n (fma -1/2 k 1/2)) (sqrt k)))) 1544871551.903 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1544871551.903 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871551.904 * * [misc]simplify: iters left: 3 (8 enodes) 1544871551.907 * * [misc]simplify: iters left: 2 (11 enodes) 1544871551.911 * * [misc]simplify: iters left: 1 (13 enodes) 1544871551.915 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871551.915 * [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)))) 1544871551.915 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1544871551.916 * [enter]simplify: Simplifying (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871551.916 * * [misc]simplify: iters left: 3 (8 enodes) 1544871551.919 * * [misc]simplify: iters left: 2 (11 enodes) 1544871551.924 * * [misc]simplify: iters left: 1 (13 enodes) 1544871551.928 * [exit]simplify: Simplified to (pow (* 2 PI) (fma -1/2 k 1/2)) 1544871551.928 * [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)))) 1544871551.928 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1544871551.929 * [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))))))))))))) 1544871551.929 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871551.929 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1544871551.929 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 3)))))))) 1544871551.929 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871551.929 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1544871551.929 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))))))) 1544871551.930 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544871551.930 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1544871551.930 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt n) k)) (- (+ (* +nan.0 (* (sqrt n) (* (log n) k))) (- (+ (* +nan.0 (* (sqrt n) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (sqrt n) (pow k 2))) (- (+ (* +nan.0 (sqrt n)) (- (* +nan.0 (* (sqrt n) (* (log n) (pow k 2))))))))))))))) 1544871551.930 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) +nan.0)) 1544871551.930 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1544871551.930 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow k 3)))))))) 1544871551.930 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) +nan.0)) 1544871551.930 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1544871551.931 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))))))))) 1544871551.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow (* 2 PI) (fma -1/2 k 1/2)) +nan.0)) 1544871551.931 * * * [misc]progress: adding candidates to table 1544871555.001 * [misc]progress: [Phase 3 of 3] Extracting. 1544871555.001 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1544871555.005 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544871555.005 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1544871555.110 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1544871555.227 * * * [misc]regime: Found split indices: #