1540326311.505 * [misc]progress: [Phase 1 of 3] Setting up. 1540326311.505 * * * [misc]progress: [1/2] Preparing points 1540326311.505 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540326311.659 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.659 * * * * [misc]points: Sampling 194 additional inputs, on iter 1 have 62 / 256 1540326311.718 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.718 * * * * [misc]points: Sampling 153 additional inputs, on iter 2 have 103 / 256 1540326311.793 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.793 * * * * [misc]points: Sampling 107 additional inputs, on iter 3 have 149 / 256 1540326311.875 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.875 * * * * [misc]points: Sampling 75 additional inputs, on iter 4 have 181 / 256 1540326311.913 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.914 * * * * [misc]points: Sampling 57 additional inputs, on iter 5 have 199 / 256 1540326311.929 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.929 * * * * [misc]points: Sampling 44 additional inputs, on iter 6 have 212 / 256 1540326311.941 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.941 * * * * [misc]points: Sampling 34 additional inputs, on iter 7 have 222 / 256 1540326311.952 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.952 * * * * [misc]points: Sampling 28 additional inputs, on iter 8 have 228 / 256 1540326311.962 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326311.962 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1540326312.002 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.002 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1540326312.019 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.019 * * * * [misc]points: Sampling 10 additional inputs, on iter 11 have 246 / 256 1540326312.028 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.029 * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 1540326312.036 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.036 * * * * [misc]points: Sampling 6 additional inputs, on iter 13 have 250 / 256 1540326312.043 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.043 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1540326312.050 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.050 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 1540326312.056 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.056 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1540326312.063 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.063 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1540326312.070 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.070 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1540326312.076 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.076 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1540326312.083 * * * * [misc]points: Filtering points with unrepresentable outputs 1540326312.083 * * * * [exit]points: Sampled 257 points with exact outputs 1540326312.083 * * * [misc]progress: [2/2] Setting up program. 1540326312.094 * [misc]progress: [Phase 2 of 3] Improving. 1540326312.095 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1540326312.096 * * [misc]simplify: iters left: 6 (13 enodes) 1540326312.104 * * [misc]simplify: iters left: 5 (28 enodes) 1540326312.114 * * [misc]simplify: iters left: 4 (44 enodes) 1540326312.130 * * [misc]simplify: iters left: 3 (54 enodes) 1540326312.162 * * [misc]simplify: iters left: 2 (57 enodes) 1540326312.176 * * [misc]simplify: iters left: 1 (65 enodes) 1540326312.187 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540326312.198 * * [misc]progress: iteration 1 / 4 1540326312.198 * * * [misc]progress: picking best candidate 1540326312.208 * * * * [misc]pick: Picked # 1540326312.208 * * * [misc]progress: localizing error 1540326312.237 * * * [misc]progress: generating rewritten candidates 1540326312.238 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540326312.260 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1540326312.280 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540326312.344 * * * [misc]progress: generating series expansions 1540326312.344 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540326312.344 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540326312.344 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540326312.344 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326312.344 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326312.344 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326312.344 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326312.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.345 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326312.345 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.345 * [misc]taylor: Taking taylor expansion of k in k 1540326312.345 * [misc]backup-simplify: Simplify 0 into 0 1540326312.345 * [misc]backup-simplify: Simplify 1 into 1 1540326312.345 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326312.345 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326312.345 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.345 * [misc]backup-simplify: Simplify 2 into 2 1540326312.345 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326312.345 * [misc]taylor: Taking taylor expansion of n in k 1540326312.345 * [misc]backup-simplify: Simplify n into n 1540326312.345 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.345 * [misc]backup-simplify: Simplify PI into PI 1540326312.345 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326312.345 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326312.345 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326312.346 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326312.346 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.346 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.346 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326312.346 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326312.346 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326312.346 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.347 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.347 * [misc]taylor: Taking taylor expansion of k in n 1540326312.347 * [misc]backup-simplify: Simplify k into k 1540326312.347 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.347 * [misc]backup-simplify: Simplify 2 into 2 1540326312.347 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326312.347 * [misc]taylor: Taking taylor expansion of n in n 1540326312.347 * [misc]backup-simplify: Simplify 0 into 0 1540326312.347 * [misc]backup-simplify: Simplify 1 into 1 1540326312.347 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.347 * [misc]backup-simplify: Simplify PI into PI 1540326312.347 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326312.348 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326312.348 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326312.349 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326312.350 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.350 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326312.350 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326312.350 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326312.351 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.351 * [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)))) 1540326312.352 * [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))))) 1540326312.352 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.352 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.352 * [misc]taylor: Taking taylor expansion of k in n 1540326312.352 * [misc]backup-simplify: Simplify k into k 1540326312.352 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326312.352 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.352 * [misc]backup-simplify: Simplify 2 into 2 1540326312.352 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326312.353 * [misc]taylor: Taking taylor expansion of n in n 1540326312.353 * [misc]backup-simplify: Simplify 0 into 0 1540326312.353 * [misc]backup-simplify: Simplify 1 into 1 1540326312.353 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.353 * [misc]backup-simplify: Simplify PI into PI 1540326312.353 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326312.353 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326312.354 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326312.355 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326312.355 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.355 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326312.355 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326312.355 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326312.356 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.357 * [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)))) 1540326312.357 * [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))))) 1540326312.358 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.358 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.358 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.358 * [misc]taylor: Taking taylor expansion of k in k 1540326312.358 * [misc]backup-simplify: Simplify 0 into 0 1540326312.358 * [misc]backup-simplify: Simplify 1 into 1 1540326312.358 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of n in k 1540326312.358 * [misc]backup-simplify: Simplify n into n 1540326312.358 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326312.358 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540326312.358 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.358 * [misc]backup-simplify: Simplify 2 into 2 1540326312.358 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.358 * [misc]backup-simplify: Simplify PI into PI 1540326312.358 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.359 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.359 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326312.359 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.359 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.360 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.361 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540326312.361 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540326312.362 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540326312.363 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326312.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326312.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326312.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540326312.373 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.373 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.373 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.374 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540326312.376 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326312.376 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.376 * [misc]backup-simplify: Simplify 0 into 0 1540326312.376 * [misc]backup-simplify: Simplify 0 into 0 1540326312.376 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540326312.377 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326312.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326312.379 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.379 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326312.379 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326312.379 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326312.380 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540326312.381 * [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))))))) 1540326312.382 * [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))))))) 1540326312.383 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540326312.388 * [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 1540326312.388 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540326312.388 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.388 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.388 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.389 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540326312.390 * [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 1540326312.390 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.390 * [misc]backup-simplify: Simplify 0 into 0 1540326312.391 * [misc]backup-simplify: Simplify 0 into 0 1540326312.391 * [misc]backup-simplify: Simplify 0 into 0 1540326312.392 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540326312.392 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.396 * [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 1540326312.396 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.396 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326312.396 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.396 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540326312.399 * [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))))) 1540326312.402 * [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))))) 1540326312.407 * [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))))) 1540326312.407 * [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)))) 1540326312.407 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540326312.407 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326312.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326312.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326312.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326312.407 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.407 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.407 * [misc]taylor: Taking taylor expansion of k in k 1540326312.407 * [misc]backup-simplify: Simplify 0 into 0 1540326312.407 * [misc]backup-simplify: Simplify 1 into 1 1540326312.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.408 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326312.408 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326312.408 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.408 * [misc]backup-simplify: Simplify 2 into 2 1540326312.408 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326312.408 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.408 * [misc]backup-simplify: Simplify PI into PI 1540326312.408 * [misc]taylor: Taking taylor expansion of n in k 1540326312.408 * [misc]backup-simplify: Simplify n into n 1540326312.408 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326312.408 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326312.408 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326312.408 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.408 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326312.408 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326312.408 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326312.409 * [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)))) 1540326312.409 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of k in n 1540326312.409 * [misc]backup-simplify: Simplify k into k 1540326312.409 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.409 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.409 * [misc]backup-simplify: Simplify 2 into 2 1540326312.409 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.409 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.409 * [misc]backup-simplify: Simplify PI into PI 1540326312.409 * [misc]taylor: Taking taylor expansion of n in n 1540326312.409 * [misc]backup-simplify: Simplify 0 into 0 1540326312.409 * [misc]backup-simplify: Simplify 1 into 1 1540326312.409 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.410 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.410 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.410 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.410 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326312.410 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326312.411 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.411 * [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))) 1540326312.411 * [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)))) 1540326312.411 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of k in n 1540326312.412 * [misc]backup-simplify: Simplify k into k 1540326312.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.412 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.412 * [misc]backup-simplify: Simplify 2 into 2 1540326312.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.412 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.412 * [misc]backup-simplify: Simplify PI into PI 1540326312.412 * [misc]taylor: Taking taylor expansion of n in n 1540326312.412 * [misc]backup-simplify: Simplify 0 into 0 1540326312.412 * [misc]backup-simplify: Simplify 1 into 1 1540326312.412 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.412 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.413 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.413 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326312.413 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326312.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.414 * [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))) 1540326312.414 * [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)))) 1540326312.414 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540326312.414 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540326312.414 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326312.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.414 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.414 * [misc]taylor: Taking taylor expansion of k in k 1540326312.414 * [misc]backup-simplify: Simplify 0 into 0 1540326312.414 * [misc]backup-simplify: Simplify 1 into 1 1540326312.414 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.414 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540326312.414 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540326312.415 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540326312.415 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.415 * [misc]backup-simplify: Simplify 2 into 2 1540326312.415 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.415 * [misc]backup-simplify: Simplify PI into PI 1540326312.415 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.415 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.415 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326312.415 * [misc]taylor: Taking taylor expansion of n in k 1540326312.415 * [misc]backup-simplify: Simplify n into n 1540326312.415 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326312.415 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.415 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326312.416 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326312.416 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326312.416 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540326312.416 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540326312.417 * [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)))) 1540326312.417 * [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)))) 1540326312.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326312.418 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326312.420 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326312.420 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326312.421 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326312.421 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.421 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.422 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540326312.423 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326312.423 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.423 * [misc]backup-simplify: Simplify 0 into 0 1540326312.423 * [misc]backup-simplify: Simplify 0 into 0 1540326312.423 * [misc]backup-simplify: Simplify 0 into 0 1540326312.424 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.425 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.428 * [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 1540326312.428 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326312.429 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.430 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540326312.431 * [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 1540326312.431 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.431 * [misc]backup-simplify: Simplify 0 into 0 1540326312.432 * [misc]backup-simplify: Simplify 0 into 0 1540326312.432 * [misc]backup-simplify: Simplify 0 into 0 1540326312.432 * [misc]backup-simplify: Simplify 0 into 0 1540326312.433 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.434 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.439 * [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 1540326312.439 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.439 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326312.439 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.440 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.441 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540326312.443 * [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 1540326312.443 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.443 * [misc]backup-simplify: Simplify 0 into 0 1540326312.443 * [misc]backup-simplify: Simplify 0 into 0 1540326312.444 * [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))))) 1540326312.444 * [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)) 1540326312.444 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540326312.444 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of k in k 1540326312.444 * [misc]backup-simplify: Simplify 0 into 0 1540326312.444 * [misc]backup-simplify: Simplify 1 into 1 1540326312.444 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.444 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of -2 in k 1540326312.444 * [misc]backup-simplify: Simplify -2 into -2 1540326312.444 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326312.444 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.444 * [misc]backup-simplify: Simplify PI into PI 1540326312.444 * [misc]taylor: Taking taylor expansion of n in k 1540326312.444 * [misc]backup-simplify: Simplify n into n 1540326312.444 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326312.444 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326312.444 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326312.445 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.445 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326312.445 * [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))) 1540326312.445 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.445 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of k in n 1540326312.445 * [misc]backup-simplify: Simplify k into k 1540326312.445 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.445 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of -2 in n 1540326312.445 * [misc]backup-simplify: Simplify -2 into -2 1540326312.445 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.445 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.445 * [misc]backup-simplify: Simplify PI into PI 1540326312.445 * [misc]taylor: Taking taylor expansion of n in n 1540326312.445 * [misc]backup-simplify: Simplify 0 into 0 1540326312.445 * [misc]backup-simplify: Simplify 1 into 1 1540326312.446 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.446 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.446 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326312.446 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.446 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326312.447 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.447 * [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))) 1540326312.448 * [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)))) 1540326312.448 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.448 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of k in n 1540326312.448 * [misc]backup-simplify: Simplify k into k 1540326312.448 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.448 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of -2 in n 1540326312.448 * [misc]backup-simplify: Simplify -2 into -2 1540326312.448 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.448 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.448 * [misc]backup-simplify: Simplify PI into PI 1540326312.448 * [misc]taylor: Taking taylor expansion of n in n 1540326312.448 * [misc]backup-simplify: Simplify 0 into 0 1540326312.448 * [misc]backup-simplify: Simplify 1 into 1 1540326312.448 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.448 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.449 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326312.449 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.449 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326312.449 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.450 * [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))) 1540326312.450 * [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)))) 1540326312.450 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540326312.450 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540326312.450 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326312.450 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.450 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.450 * [misc]taylor: Taking taylor expansion of k in k 1540326312.450 * [misc]backup-simplify: Simplify 0 into 0 1540326312.451 * [misc]backup-simplify: Simplify 1 into 1 1540326312.451 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.451 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540326312.451 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540326312.451 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540326312.451 * [misc]taylor: Taking taylor expansion of -2 in k 1540326312.451 * [misc]backup-simplify: Simplify -2 into -2 1540326312.451 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.451 * [misc]backup-simplify: Simplify PI into PI 1540326312.451 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.451 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326312.451 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326312.451 * [misc]taylor: Taking taylor expansion of n in k 1540326312.451 * [misc]backup-simplify: Simplify n into n 1540326312.451 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326312.452 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.452 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.452 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326312.452 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540326312.452 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540326312.453 * [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)))) 1540326312.453 * [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)))) 1540326312.454 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326312.454 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326312.456 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540326312.456 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326312.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326312.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.457 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.458 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540326312.459 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326312.459 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.459 * [misc]backup-simplify: Simplify 0 into 0 1540326312.459 * [misc]backup-simplify: Simplify 0 into 0 1540326312.459 * [misc]backup-simplify: Simplify 0 into 0 1540326312.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.460 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.466 * [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 1540326312.466 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326312.466 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.467 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.467 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540326312.469 * [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 1540326312.469 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.469 * [misc]backup-simplify: Simplify 0 into 0 1540326312.469 * [misc]backup-simplify: Simplify 0 into 0 1540326312.469 * [misc]backup-simplify: Simplify 0 into 0 1540326312.469 * [misc]backup-simplify: Simplify 0 into 0 1540326312.470 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.471 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.480 * [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 1540326312.480 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.481 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326312.481 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.482 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.483 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540326312.487 * [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 1540326312.487 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.487 * [misc]backup-simplify: Simplify 0 into 0 1540326312.487 * [misc]backup-simplify: Simplify 0 into 0 1540326312.488 * [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))))) 1540326312.488 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1540326312.488 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540326312.488 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540326312.488 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326312.488 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.488 * [misc]backup-simplify: Simplify 2 into 2 1540326312.488 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326312.488 * [misc]taylor: Taking taylor expansion of n in n 1540326312.488 * [misc]backup-simplify: Simplify 0 into 0 1540326312.488 * [misc]backup-simplify: Simplify 1 into 1 1540326312.488 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.488 * [misc]backup-simplify: Simplify PI into PI 1540326312.488 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326312.488 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.488 * [misc]backup-simplify: Simplify 2 into 2 1540326312.488 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326312.488 * [misc]taylor: Taking taylor expansion of n in n 1540326312.488 * [misc]backup-simplify: Simplify 0 into 0 1540326312.489 * [misc]backup-simplify: Simplify 1 into 1 1540326312.489 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.489 * [misc]backup-simplify: Simplify PI into PI 1540326312.489 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326312.489 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326312.489 * [misc]backup-simplify: Simplify 0 into 0 1540326312.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326312.490 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326312.490 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326312.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326312.491 * [misc]backup-simplify: Simplify 0 into 0 1540326312.492 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.493 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540326312.493 * [misc]backup-simplify: Simplify 0 into 0 1540326312.495 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326312.496 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540326312.496 * [misc]backup-simplify: Simplify 0 into 0 1540326312.497 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540326312.499 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540326312.499 * [misc]backup-simplify: Simplify 0 into 0 1540326312.501 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540326312.503 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540326312.503 * [misc]backup-simplify: Simplify 0 into 0 1540326312.505 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540326312.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540326312.508 * [misc]backup-simplify: Simplify 0 into 0 1540326312.508 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540326312.508 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540326312.508 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540326312.508 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326312.508 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.508 * [misc]backup-simplify: Simplify 2 into 2 1540326312.508 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.508 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.508 * [misc]backup-simplify: Simplify PI into PI 1540326312.508 * [misc]taylor: Taking taylor expansion of n in n 1540326312.508 * [misc]backup-simplify: Simplify 0 into 0 1540326312.508 * [misc]backup-simplify: Simplify 1 into 1 1540326312.509 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.509 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326312.509 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.509 * [misc]backup-simplify: Simplify 2 into 2 1540326312.509 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.509 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.509 * [misc]backup-simplify: Simplify PI into PI 1540326312.509 * [misc]taylor: Taking taylor expansion of n in n 1540326312.509 * [misc]backup-simplify: Simplify 0 into 0 1540326312.509 * [misc]backup-simplify: Simplify 1 into 1 1540326312.509 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.509 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.509 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.510 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326312.511 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326312.511 * [misc]backup-simplify: Simplify 0 into 0 1540326312.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.512 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.512 * [misc]backup-simplify: Simplify 0 into 0 1540326312.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.514 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.514 * [misc]backup-simplify: Simplify 0 into 0 1540326312.516 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.518 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326312.518 * [misc]backup-simplify: Simplify 0 into 0 1540326312.520 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.523 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540326312.524 * [misc]backup-simplify: Simplify 0 into 0 1540326312.526 * [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 1540326312.530 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540326312.530 * [misc]backup-simplify: Simplify 0 into 0 1540326312.530 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540326312.530 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540326312.530 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540326312.530 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326312.530 * [misc]taylor: Taking taylor expansion of -2 in n 1540326312.530 * [misc]backup-simplify: Simplify -2 into -2 1540326312.530 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.530 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.531 * [misc]backup-simplify: Simplify PI into PI 1540326312.531 * [misc]taylor: Taking taylor expansion of n in n 1540326312.531 * [misc]backup-simplify: Simplify 0 into 0 1540326312.531 * [misc]backup-simplify: Simplify 1 into 1 1540326312.531 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.531 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326312.531 * [misc]taylor: Taking taylor expansion of -2 in n 1540326312.531 * [misc]backup-simplify: Simplify -2 into -2 1540326312.531 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.531 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.531 * [misc]backup-simplify: Simplify PI into PI 1540326312.531 * [misc]taylor: Taking taylor expansion of n in n 1540326312.531 * [misc]backup-simplify: Simplify 0 into 0 1540326312.531 * [misc]backup-simplify: Simplify 1 into 1 1540326312.532 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.532 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.532 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.534 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326312.534 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326312.534 * [misc]backup-simplify: Simplify 0 into 0 1540326312.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.537 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.537 * [misc]backup-simplify: Simplify 0 into 0 1540326312.539 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.541 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.541 * [misc]backup-simplify: Simplify 0 into 0 1540326312.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.546 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326312.546 * [misc]backup-simplify: Simplify 0 into 0 1540326312.548 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.551 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540326312.551 * [misc]backup-simplify: Simplify 0 into 0 1540326312.554 * [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 1540326312.557 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540326312.558 * [misc]backup-simplify: Simplify 0 into 0 1540326312.558 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540326312.558 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540326312.559 * [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)))) 1540326312.559 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1540326312.559 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540326312.559 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326312.559 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.559 * [misc]taylor: Taking taylor expansion of k in k 1540326312.559 * [misc]backup-simplify: Simplify 0 into 0 1540326312.559 * [misc]backup-simplify: Simplify 1 into 1 1540326312.559 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.559 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326312.560 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326312.560 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.560 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.560 * [misc]taylor: Taking taylor expansion of k in k 1540326312.560 * [misc]backup-simplify: Simplify 0 into 0 1540326312.560 * [misc]backup-simplify: Simplify 1 into 1 1540326312.560 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.560 * [misc]backup-simplify: Simplify 2 into 2 1540326312.560 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326312.560 * [misc]taylor: Taking taylor expansion of n in k 1540326312.560 * [misc]backup-simplify: Simplify n into n 1540326312.560 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.560 * [misc]backup-simplify: Simplify PI into PI 1540326312.560 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326312.560 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326312.560 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326312.560 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326312.560 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.560 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.561 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326312.561 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326312.561 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of k in n 1540326312.561 * [misc]backup-simplify: Simplify k into k 1540326312.561 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.561 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326312.561 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326312.561 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326312.561 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.561 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.561 * [misc]taylor: Taking taylor expansion of k in n 1540326312.561 * [misc]backup-simplify: Simplify k into k 1540326312.561 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.561 * [misc]backup-simplify: Simplify 2 into 2 1540326312.561 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326312.561 * [misc]taylor: Taking taylor expansion of n in n 1540326312.561 * [misc]backup-simplify: Simplify 0 into 0 1540326312.561 * [misc]backup-simplify: Simplify 1 into 1 1540326312.561 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.561 * [misc]backup-simplify: Simplify PI into PI 1540326312.562 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326312.562 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326312.562 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326312.563 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326312.563 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.563 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326312.563 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326312.563 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326312.564 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.564 * [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)))) 1540326312.564 * [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))))) 1540326312.564 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540326312.564 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326312.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of k in n 1540326312.565 * [misc]backup-simplify: Simplify k into k 1540326312.565 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.565 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326312.565 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326312.565 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326312.565 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.565 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.565 * [misc]taylor: Taking taylor expansion of k in n 1540326312.565 * [misc]backup-simplify: Simplify k into k 1540326312.565 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.565 * [misc]backup-simplify: Simplify 2 into 2 1540326312.565 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326312.565 * [misc]taylor: Taking taylor expansion of n in n 1540326312.565 * [misc]backup-simplify: Simplify 0 into 0 1540326312.565 * [misc]backup-simplify: Simplify 1 into 1 1540326312.565 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.565 * [misc]backup-simplify: Simplify PI into PI 1540326312.565 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326312.565 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326312.566 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326312.566 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326312.567 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.567 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326312.567 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326312.567 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326312.567 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.568 * [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)))) 1540326312.568 * [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))))) 1540326312.569 * [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))) 1540326312.569 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.569 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.569 * [misc]taylor: Taking taylor expansion of k in k 1540326312.569 * [misc]backup-simplify: Simplify 0 into 0 1540326312.569 * [misc]backup-simplify: Simplify 1 into 1 1540326312.569 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of n in k 1540326312.569 * [misc]backup-simplify: Simplify n into n 1540326312.569 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326312.569 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540326312.569 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.569 * [misc]backup-simplify: Simplify 2 into 2 1540326312.569 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.569 * [misc]backup-simplify: Simplify PI into PI 1540326312.569 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.570 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.570 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326312.570 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.570 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.570 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.571 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540326312.571 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540326312.571 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326312.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.571 * [misc]taylor: Taking taylor expansion of k in k 1540326312.571 * [misc]backup-simplify: Simplify 0 into 0 1540326312.571 * [misc]backup-simplify: Simplify 1 into 1 1540326312.571 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.571 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326312.572 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326312.572 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1540326312.572 * [misc]backup-simplify: Simplify 0 into 0 1540326312.573 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326312.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326312.575 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326312.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540326312.577 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.577 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.578 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540326312.579 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326312.579 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1540326312.580 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.580 * [misc]backup-simplify: Simplify 0 into 0 1540326312.580 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540326312.581 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326312.582 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326312.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.583 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326312.583 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326312.583 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326312.583 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540326312.585 * [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))))))) 1540326312.586 * [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))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1540326312.587 * [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))))))) 1540326312.588 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.589 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540326312.592 * [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 1540326312.592 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540326312.592 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.592 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.593 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.594 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540326312.595 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326312.595 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.596 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1540326312.596 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1540326312.596 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.596 * [misc]backup-simplify: Simplify 0 into 0 1540326312.596 * [misc]backup-simplify: Simplify 0 into 0 1540326312.596 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326312.597 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326312.598 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540326312.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.602 * [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 1540326312.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.603 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326312.603 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540326312.606 * [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))))) 1540326312.610 * [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)))))))) 1540326312.612 * [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)))))))) 1540326312.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326312.615 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540326312.620 * [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 1540326312.621 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540326312.621 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.621 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.621 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326312.622 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540326312.624 * [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 1540326312.624 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.625 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1540326312.625 * [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 1540326312.625 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.625 * [misc]backup-simplify: Simplify 0 into 0 1540326312.626 * [misc]backup-simplify: Simplify 0 into 0 1540326312.626 * [misc]backup-simplify: Simplify 0 into 0 1540326312.626 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.626 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326312.628 * [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 1540326312.629 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.635 * [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 1540326312.635 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.635 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540326312.635 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.635 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.636 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540326312.641 * [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))))))) 1540326312.660 * [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)))))))))))))) 1540326312.676 * [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)))))))))))))) 1540326312.689 * [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)))))))))))))))))))))) 1540326312.689 * [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))))) 1540326312.690 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540326312.690 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of k in k 1540326312.690 * [misc]backup-simplify: Simplify 0 into 0 1540326312.690 * [misc]backup-simplify: Simplify 1 into 1 1540326312.690 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326312.690 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326312.690 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of k in k 1540326312.690 * [misc]backup-simplify: Simplify 0 into 0 1540326312.690 * [misc]backup-simplify: Simplify 1 into 1 1540326312.690 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.690 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.690 * [misc]backup-simplify: Simplify 2 into 2 1540326312.690 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326312.690 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.690 * [misc]backup-simplify: Simplify PI into PI 1540326312.691 * [misc]taylor: Taking taylor expansion of n in k 1540326312.691 * [misc]backup-simplify: Simplify n into n 1540326312.691 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326312.691 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326312.691 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326312.691 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.691 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326312.691 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326312.691 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326312.691 * [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)))) 1540326312.691 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326312.691 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326312.691 * [misc]taylor: Taking taylor expansion of k in n 1540326312.691 * [misc]backup-simplify: Simplify k into k 1540326312.692 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326312.692 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326312.692 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.692 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.692 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of k in n 1540326312.692 * [misc]backup-simplify: Simplify k into k 1540326312.692 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.692 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.692 * [misc]backup-simplify: Simplify 2 into 2 1540326312.692 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.692 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.692 * [misc]backup-simplify: Simplify PI into PI 1540326312.692 * [misc]taylor: Taking taylor expansion of n in n 1540326312.692 * [misc]backup-simplify: Simplify 0 into 0 1540326312.692 * [misc]backup-simplify: Simplify 1 into 1 1540326312.692 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.692 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.693 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.693 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.693 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326312.693 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326312.693 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.694 * [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))) 1540326312.694 * [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)))) 1540326312.694 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326312.694 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326312.694 * [misc]taylor: Taking taylor expansion of k in n 1540326312.694 * [misc]backup-simplify: Simplify k into k 1540326312.694 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326312.694 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326312.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.695 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.695 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of k in n 1540326312.695 * [misc]backup-simplify: Simplify k into k 1540326312.695 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.695 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of 2 in n 1540326312.695 * [misc]backup-simplify: Simplify 2 into 2 1540326312.695 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.695 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.695 * [misc]backup-simplify: Simplify PI into PI 1540326312.695 * [misc]taylor: Taking taylor expansion of n in n 1540326312.695 * [misc]backup-simplify: Simplify 0 into 0 1540326312.695 * [misc]backup-simplify: Simplify 1 into 1 1540326312.695 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.695 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.696 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.696 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.696 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326312.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326312.696 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.697 * [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))) 1540326312.697 * [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)))) 1540326312.698 * [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)) 1540326312.698 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.698 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of k in k 1540326312.698 * [misc]backup-simplify: Simplify 0 into 0 1540326312.698 * [misc]backup-simplify: Simplify 1 into 1 1540326312.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.698 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540326312.698 * [misc]taylor: Taking taylor expansion of 2 in k 1540326312.698 * [misc]backup-simplify: Simplify 2 into 2 1540326312.698 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.698 * [misc]backup-simplify: Simplify PI into PI 1540326312.698 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326312.699 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326312.699 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326312.699 * [misc]taylor: Taking taylor expansion of n in k 1540326312.699 * [misc]backup-simplify: Simplify n into n 1540326312.699 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326312.699 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.699 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326312.699 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326312.699 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326312.700 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540326312.700 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540326312.700 * [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)))) 1540326312.700 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326312.701 * [misc]taylor: Taking taylor expansion of k in k 1540326312.701 * [misc]backup-simplify: Simplify 0 into 0 1540326312.701 * [misc]backup-simplify: Simplify 1 into 1 1540326312.701 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326312.701 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326312.701 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1540326312.701 * [misc]backup-simplify: Simplify 0 into 0 1540326312.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326312.703 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326312.705 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326312.705 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326312.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326312.705 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.706 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.706 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540326312.707 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326312.708 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540326312.708 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.708 * [misc]backup-simplify: Simplify 0 into 0 1540326312.708 * [misc]backup-simplify: Simplify 0 into 0 1540326312.708 * [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)))))) 1540326312.709 * [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)))))) 1540326312.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.711 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.714 * [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 1540326312.714 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326312.715 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.715 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.716 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540326312.717 * [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 1540326312.718 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1540326312.719 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540326312.719 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.719 * [misc]backup-simplify: Simplify 0 into 0 1540326312.719 * [misc]backup-simplify: Simplify 0 into 0 1540326312.719 * [misc]backup-simplify: Simplify 0 into 0 1540326312.719 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326312.720 * [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)))))) 1540326312.721 * [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)))))) 1540326312.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326312.728 * [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 1540326312.728 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.728 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326312.728 * [misc]backup-simplify: Simplify (- 0) into 0 1540326312.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326312.730 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540326312.733 * [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 1540326312.733 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1540326312.734 * [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 1540326312.734 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.734 * [misc]backup-simplify: Simplify 0 into 0 1540326312.734 * [misc]backup-simplify: Simplify 0 into 0 1540326312.735 * [misc]backup-simplify: Simplify 0 into 0 1540326312.735 * [misc]backup-simplify: Simplify 0 into 0 1540326312.736 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326312.737 * [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)))))) 1540326312.738 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1540326312.742 * [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)))))))) 1540326312.742 * [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))) 1540326312.742 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1540326312.742 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.742 * [misc]taylor: Taking taylor expansion of k in k 1540326312.742 * [misc]backup-simplify: Simplify 0 into 0 1540326312.743 * [misc]backup-simplify: Simplify 1 into 1 1540326312.743 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.743 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.743 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326312.743 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326312.743 * [misc]taylor: Taking taylor expansion of -2 in k 1540326312.743 * [misc]backup-simplify: Simplify -2 into -2 1540326312.743 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326312.743 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.743 * [misc]backup-simplify: Simplify PI into PI 1540326312.743 * [misc]taylor: Taking taylor expansion of n in k 1540326312.743 * [misc]backup-simplify: Simplify n into n 1540326312.743 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326312.743 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326312.744 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326312.744 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.744 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.744 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326312.744 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326312.744 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326312.745 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326312.745 * [misc]taylor: Taking taylor expansion of -1 in k 1540326312.745 * [misc]backup-simplify: Simplify -1 into -1 1540326312.745 * [misc]taylor: Taking taylor expansion of k in k 1540326312.745 * [misc]backup-simplify: Simplify 0 into 0 1540326312.745 * [misc]backup-simplify: Simplify 1 into 1 1540326312.745 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326312.745 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326312.746 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326312.746 * [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)))) 1540326312.746 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540326312.746 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326312.746 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326312.746 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326312.746 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326312.746 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.747 * [misc]taylor: Taking taylor expansion of k in n 1540326312.747 * [misc]backup-simplify: Simplify k into k 1540326312.747 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.747 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326312.747 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326312.747 * [misc]taylor: Taking taylor expansion of -2 in n 1540326312.747 * [misc]backup-simplify: Simplify -2 into -2 1540326312.747 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.747 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.747 * [misc]backup-simplify: Simplify PI into PI 1540326312.747 * [misc]taylor: Taking taylor expansion of n in n 1540326312.747 * [misc]backup-simplify: Simplify 0 into 0 1540326312.747 * [misc]backup-simplify: Simplify 1 into 1 1540326312.747 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.748 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.748 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326312.748 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.748 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326312.749 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.750 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326312.751 * [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)))) 1540326312.751 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326312.751 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326312.751 * [misc]taylor: Taking taylor expansion of -1 in n 1540326312.751 * [misc]backup-simplify: Simplify -1 into -1 1540326312.751 * [misc]taylor: Taking taylor expansion of k in n 1540326312.751 * [misc]backup-simplify: Simplify k into k 1540326312.751 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326312.751 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326312.751 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326312.751 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326312.752 * [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))) 1540326312.752 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540326312.752 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326312.752 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326312.752 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326312.752 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326312.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326312.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326312.753 * [misc]taylor: Taking taylor expansion of k in n 1540326312.753 * [misc]backup-simplify: Simplify k into k 1540326312.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326312.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326312.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.753 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326312.753 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326312.753 * [misc]taylor: Taking taylor expansion of -2 in n 1540326312.753 * [misc]backup-simplify: Simplify -2 into -2 1540326312.753 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326312.753 * [misc]taylor: Taking taylor expansion of PI in n 1540326312.753 * [misc]backup-simplify: Simplify PI into PI 1540326312.753 * [misc]taylor: Taking taylor expansion of n in n 1540326312.753 * [misc]backup-simplify: Simplify 0 into 0 1540326312.753 * [misc]backup-simplify: Simplify 1 into 1 1540326312.753 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326312.754 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.754 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326312.754 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326312.754 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326312.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.756 * [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))) 1540326312.757 * [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)))) 1540326312.757 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326312.757 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326312.757 * [misc]taylor: Taking taylor expansion of -1 in n 1540326312.757 * [misc]backup-simplify: Simplify -1 into -1 1540326312.757 * [misc]taylor: Taking taylor expansion of k in n 1540326312.757 * [misc]backup-simplify: Simplify k into k 1540326312.757 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326312.757 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326312.757 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326312.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326312.758 * [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))) 1540326312.758 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1540326312.758 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540326312.758 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540326312.758 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326312.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326312.758 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326312.758 * [misc]taylor: Taking taylor expansion of k in k 1540326312.758 * [misc]backup-simplify: Simplify 0 into 0 1540326312.758 * [misc]backup-simplify: Simplify 1 into 1 1540326312.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326312.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326312.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326312.759 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540326312.759 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540326312.759 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540326312.759 * [misc]taylor: Taking taylor expansion of -2 in k 1540326312.759 * [misc]backup-simplify: Simplify -2 into -2 1540326312.759 * [misc]taylor: Taking taylor expansion of PI in k 1540326312.759 * [misc]backup-simplify: Simplify PI into PI 1540326312.759 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326312.760 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326312.760 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326312.760 * [misc]taylor: Taking taylor expansion of n in k 1540326312.760 * [misc]backup-simplify: Simplify n into n 1540326312.760 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326312.760 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326312.760 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326312.760 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326312.761 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540326312.761 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540326312.762 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1540326312.762 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326312.762 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326312.762 * [misc]taylor: Taking taylor expansion of -1 in k 1540326312.762 * [misc]backup-simplify: Simplify -1 into -1 1540326312.762 * [misc]taylor: Taking taylor expansion of k in k 1540326312.762 * [misc]backup-simplify: Simplify 0 into 0 1540326312.762 * [misc]backup-simplify: Simplify 1 into 1 1540326312.763 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326312.763 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326312.763 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326312.764 * [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))))) 1540326312.765 * [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))))) 1540326312.767 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326312.767 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326312.771 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540326312.771 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326312.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326312.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.773 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540326312.775 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326312.775 * [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 1540326312.776 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.776 * [misc]backup-simplify: Simplify 0 into 0 1540326312.776 * [misc]backup-simplify: Simplify 0 into 0 1540326312.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540326312.776 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326312.777 * [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)))))) 1540326312.778 * [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)))))) 1540326312.779 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.779 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326312.783 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1540326312.783 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326312.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326312.785 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326312.786 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540326312.787 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326312.787 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326312.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540326312.788 * [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 1540326312.788 * [misc]taylor: Taking taylor expansion of 0 in k 1540326312.788 * [misc]backup-simplify: Simplify 0 into 0 1540326312.788 * [misc]backup-simplify: Simplify 0 into 0 1540326312.789 * [misc]backup-simplify: Simplify 0 into 0 1540326312.789 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326312.789 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326312.791 * [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)))))) 1540326312.791 * [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)))))) 1540326312.793 * [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))))))))))) 1540326312.793 * * * [misc]progress: simplifying candidates 1540326312.793 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1540326312.794 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540326312.794 * * [misc]simplify: iters left: 6 (11 enodes) 1540326312.797 * * [misc]simplify: iters left: 5 (21 enodes) 1540326312.803 * * [misc]simplify: iters left: 4 (47 enodes) 1540326312.818 * * [misc]simplify: iters left: 3 (109 enodes) 1540326312.886 * * [misc]simplify: iters left: 2 (300 enodes) 1540326313.175 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540326313.175 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1540326313.175 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1540326313.175 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1540326313.175 * [enter]simplify: Simplifying (* PI (* n 2)) 1540326313.175 * * [misc]simplify: iters left: 4 (5 enodes) 1540326313.177 * * [misc]simplify: iters left: 3 (9 enodes) 1540326313.179 * * [misc]simplify: iters left: 2 (15 enodes) 1540326313.181 * * [misc]simplify: iters left: 1 (17 enodes) 1540326313.184 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540326313.184 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1540326313.184 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1540326313.184 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540326313.185 * * [misc]simplify: iters left: 5 (8 enodes) 1540326313.187 * * [misc]simplify: iters left: 4 (12 enodes) 1540326313.189 * * [misc]simplify: iters left: 3 (18 enodes) 1540326313.192 * * [misc]simplify: iters left: 2 (20 enodes) 1540326313.195 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540326313.195 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1540326313.195 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1540326313.196 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326313.196 * * [misc]simplify: iters left: 5 (6 enodes) 1540326313.197 * * [misc]simplify: iters left: 4 (8 enodes) 1540326313.198 * * [misc]simplify: iters left: 3 (11 enodes) 1540326313.200 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326313.200 * [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))) 1540326313.200 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1540326313.200 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326313.201 * * [misc]simplify: iters left: 5 (6 enodes) 1540326313.202 * * [misc]simplify: iters left: 4 (8 enodes) 1540326313.203 * * [misc]simplify: iters left: 3 (11 enodes) 1540326313.205 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326313.205 * [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))) 1540326313.205 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1540326313.205 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326313.205 * * [misc]simplify: iters left: 4 (5 enodes) 1540326313.206 * * [misc]simplify: iters left: 3 (7 enodes) 1540326313.208 * * [misc]simplify: iters left: 2 (10 enodes) 1540326313.209 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326313.209 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1540326313.209 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1540326313.209 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540326313.210 * * [misc]simplify: iters left: 5 (9 enodes) 1540326313.212 * * [misc]simplify: iters left: 4 (15 enodes) 1540326313.214 * * [misc]simplify: iters left: 3 (21 enodes) 1540326313.218 * * [misc]simplify: iters left: 2 (22 enodes) 1540326313.221 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540326313.221 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540326313.221 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1540326313.221 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540326313.222 * * [misc]simplify: iters left: 5 (9 enodes) 1540326313.224 * * [misc]simplify: iters left: 4 (15 enodes) 1540326313.228 * * [misc]simplify: iters left: 3 (21 enodes) 1540326313.231 * * [misc]simplify: iters left: 2 (22 enodes) 1540326313.235 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540326313.235 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540326313.235 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1540326313.235 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540326313.235 * * [misc]simplify: iters left: 5 (7 enodes) 1540326313.238 * * [misc]simplify: iters left: 4 (9 enodes) 1540326313.241 * * [misc]simplify: iters left: 3 (12 enodes) 1540326313.243 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540326313.243 * [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))) 1540326313.243 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1540326313.243 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1540326313.243 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540326313.244 * * [misc]simplify: iters left: 6 (14 enodes) 1540326313.248 * * [misc]simplify: iters left: 5 (26 enodes) 1540326313.255 * * [misc]simplify: iters left: 4 (53 enodes) 1540326313.273 * * [misc]simplify: iters left: 3 (137 enodes) 1540326313.394 * * [misc]simplify: iters left: 2 (487 enodes) 1540326314.253 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1540326314.253 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1540326314.254 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1540326314.254 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540326314.255 * * [misc]simplify: iters left: 6 (14 enodes) 1540326314.262 * * [misc]simplify: iters left: 5 (26 enodes) 1540326314.275 * * [misc]simplify: iters left: 4 (53 enodes) 1540326314.292 * * [misc]simplify: iters left: 3 (137 enodes) 1540326314.387 * * [misc]simplify: iters left: 2 (487 enodes) 1540326315.382 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1540326315.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1540326315.382 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1540326315.382 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1540326315.384 * * [misc]simplify: iters left: 6 (14 enodes) 1540326315.391 * * [misc]simplify: iters left: 5 (24 enodes) 1540326315.402 * * [misc]simplify: iters left: 4 (42 enodes) 1540326315.420 * * [misc]simplify: iters left: 3 (71 enodes) 1540326315.475 * * [misc]simplify: iters left: 2 (208 enodes) 1540326315.854 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1540326315.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1540326315.854 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1540326315.854 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1540326315.854 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1540326315.854 * [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))) 1540326315.856 * * [misc]simplify: iters left: 6 (16 enodes) 1540326315.864 * * [misc]simplify: iters left: 5 (31 enodes) 1540326315.878 * * [misc]simplify: iters left: 4 (67 enodes) 1540326315.894 * * [misc]simplify: iters left: 3 (124 enodes) 1540326315.943 * * [misc]simplify: iters left: 2 (195 enodes) 1540326316.045 * * [misc]simplify: iters left: 1 (309 enodes) 1540326316.248 * [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)))) 1540326316.248 * [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)))))) 1540326316.248 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1540326316.248 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1540326316.248 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1540326316.248 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1540326316.248 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1540326316.249 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.250 * * [misc]simplify: iters left: 6 (12 enodes) 1540326316.256 * * [misc]simplify: iters left: 5 (19 enodes) 1540326316.263 * * [misc]simplify: iters left: 4 (25 enodes) 1540326316.271 * * [misc]simplify: iters left: 3 (26 enodes) 1540326316.280 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.280 * [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))))) 1540326316.280 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540326316.281 * * [misc]simplify: iters left: 6 (12 enodes) 1540326316.286 * * [misc]simplify: iters left: 5 (18 enodes) 1540326316.290 * * [misc]simplify: iters left: 4 (24 enodes) 1540326316.294 * * [misc]simplify: iters left: 3 (25 enodes) 1540326316.298 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540326316.298 * [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))))) 1540326316.298 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1540326316.298 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540326316.299 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.301 * * [misc]simplify: iters left: 5 (16 enodes) 1540326316.304 * * [misc]simplify: iters left: 4 (22 enodes) 1540326316.308 * * [misc]simplify: iters left: 3 (24 enodes) 1540326316.312 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540326316.312 * [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))))) 1540326316.312 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540326316.313 * * [misc]simplify: iters left: 6 (12 enodes) 1540326316.316 * * [misc]simplify: iters left: 5 (18 enodes) 1540326316.323 * * [misc]simplify: iters left: 4 (24 enodes) 1540326316.327 * * [misc]simplify: iters left: 3 (25 enodes) 1540326316.331 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540326316.331 * [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))))) 1540326316.331 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1540326316.331 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540326316.332 * * [misc]simplify: iters left: 6 (9 enodes) 1540326316.334 * * [misc]simplify: iters left: 5 (16 enodes) 1540326316.338 * * [misc]simplify: iters left: 4 (24 enodes) 1540326316.342 * * [misc]simplify: iters left: 3 (26 enodes) 1540326316.345 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540326316.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540326316.345 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540326316.346 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.348 * * [misc]simplify: iters left: 5 (17 enodes) 1540326316.351 * * [misc]simplify: iters left: 4 (23 enodes) 1540326316.355 * * [misc]simplify: iters left: 3 (24 enodes) 1540326316.363 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540326316.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540326316.363 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1540326316.364 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.365 * * [misc]simplify: iters left: 6 (12 enodes) 1540326316.370 * * [misc]simplify: iters left: 5 (19 enodes) 1540326316.377 * * [misc]simplify: iters left: 4 (25 enodes) 1540326316.386 * * [misc]simplify: iters left: 3 (26 enodes) 1540326316.395 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.395 * [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))))) 1540326316.395 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540326316.396 * * [misc]simplify: iters left: 6 (12 enodes) 1540326316.401 * * [misc]simplify: iters left: 5 (18 enodes) 1540326316.406 * * [misc]simplify: iters left: 4 (24 enodes) 1540326316.409 * * [misc]simplify: iters left: 3 (25 enodes) 1540326316.414 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540326316.414 * [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))))) 1540326316.414 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1540326316.414 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540326316.415 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.417 * * [misc]simplify: iters left: 5 (16 enodes) 1540326316.420 * * [misc]simplify: iters left: 4 (22 enodes) 1540326316.423 * * [misc]simplify: iters left: 3 (24 enodes) 1540326316.433 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540326316.433 * [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))))) 1540326316.433 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540326316.435 * * [misc]simplify: iters left: 6 (12 enodes) 1540326316.440 * * [misc]simplify: iters left: 5 (18 enodes) 1540326316.446 * * [misc]simplify: iters left: 4 (24 enodes) 1540326316.454 * * [misc]simplify: iters left: 3 (25 enodes) 1540326316.459 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540326316.459 * [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))))) 1540326316.459 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1540326316.459 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540326316.460 * * [misc]simplify: iters left: 6 (9 enodes) 1540326316.462 * * [misc]simplify: iters left: 5 (16 enodes) 1540326316.466 * * [misc]simplify: iters left: 4 (24 enodes) 1540326316.469 * * [misc]simplify: iters left: 3 (26 enodes) 1540326316.473 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540326316.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540326316.473 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540326316.474 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.476 * * [misc]simplify: iters left: 5 (17 enodes) 1540326316.479 * * [misc]simplify: iters left: 4 (23 enodes) 1540326316.483 * * [misc]simplify: iters left: 3 (24 enodes) 1540326316.491 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540326316.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540326316.491 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1540326316.492 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.493 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.497 * * [misc]simplify: iters left: 5 (15 enodes) 1540326316.503 * * [misc]simplify: iters left: 4 (18 enodes) 1540326316.509 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.509 * [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))))) 1540326316.509 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540326316.510 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.515 * * [misc]simplify: iters left: 5 (14 enodes) 1540326316.520 * * [misc]simplify: iters left: 4 (17 enodes) 1540326316.526 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540326316.526 * [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))))) 1540326316.526 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1540326316.526 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326316.527 * * [misc]simplify: iters left: 6 (10 enodes) 1540326316.531 * * [misc]simplify: iters left: 5 (12 enodes) 1540326316.533 * * [misc]simplify: iters left: 4 (15 enodes) 1540326316.537 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326316.537 * [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))))) 1540326316.537 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326316.538 * * [misc]simplify: iters left: 6 (11 enodes) 1540326316.539 * * [misc]simplify: iters left: 5 (14 enodes) 1540326316.542 * * [misc]simplify: iters left: 4 (17 enodes) 1540326316.545 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326316.545 * [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))))) 1540326316.545 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1540326316.545 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1540326316.545 * * [misc]simplify: iters left: 6 (9 enodes) 1540326316.547 * * [misc]simplify: iters left: 5 (13 enodes) 1540326316.550 * * [misc]simplify: iters left: 4 (18 enodes) 1540326316.552 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540326316.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540326316.552 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540326316.553 * * [misc]simplify: iters left: 6 (10 enodes) 1540326316.555 * * [misc]simplify: iters left: 5 (13 enodes) 1540326316.557 * * [misc]simplify: iters left: 4 (16 enodes) 1540326316.560 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540326316.560 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540326316.560 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1540326316.560 * [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)))) 1540326316.563 * * [misc]simplify: iters left: 6 (16 enodes) 1540326316.570 * * [misc]simplify: iters left: 5 (28 enodes) 1540326316.583 * * [misc]simplify: iters left: 4 (46 enodes) 1540326316.597 * * [misc]simplify: iters left: 3 (50 enodes) 1540326316.607 * * [misc]simplify: iters left: 2 (53 enodes) 1540326316.618 * [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)))) 1540326316.618 * [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))))) 1540326316.618 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540326316.619 * * [misc]simplify: iters left: 6 (14 enodes) 1540326316.622 * * [misc]simplify: iters left: 5 (20 enodes) 1540326316.627 * * [misc]simplify: iters left: 4 (29 enodes) 1540326316.631 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.640 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540326316.640 * [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))))) 1540326316.640 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1540326316.641 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326316.641 * * [misc]simplify: iters left: 6 (15 enodes) 1540326316.644 * * [misc]simplify: iters left: 5 (23 enodes) 1540326316.649 * * [misc]simplify: iters left: 4 (34 enodes) 1540326316.654 * * [misc]simplify: iters left: 3 (37 enodes) 1540326316.661 * [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)))))) 1540326316.662 * [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))))) 1540326316.662 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326316.663 * * [misc]simplify: iters left: 6 (14 enodes) 1540326316.666 * * [misc]simplify: iters left: 5 (20 enodes) 1540326316.670 * * [misc]simplify: iters left: 4 (29 enodes) 1540326316.677 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.688 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326316.688 * [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))))) 1540326316.688 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1540326316.688 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1540326316.690 * * [misc]simplify: iters left: 6 (14 enodes) 1540326316.697 * * [misc]simplify: iters left: 5 (24 enodes) 1540326316.707 * * [misc]simplify: iters left: 4 (39 enodes) 1540326316.723 * * [misc]simplify: iters left: 3 (54 enodes) 1540326316.742 * * [misc]simplify: iters left: 2 (80 enodes) 1540326316.766 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1540326316.766 * [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)))) 1540326316.767 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540326316.768 * * [misc]simplify: iters left: 6 (13 enodes) 1540326316.770 * * [misc]simplify: iters left: 5 (19 enodes) 1540326316.774 * * [misc]simplify: iters left: 4 (28 enodes) 1540326316.778 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.783 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540326316.783 * [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)))) 1540326316.783 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1540326316.784 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.784 * * [misc]simplify: iters left: 6 (15 enodes) 1540326316.788 * * [misc]simplify: iters left: 5 (23 enodes) 1540326316.792 * * [misc]simplify: iters left: 4 (32 enodes) 1540326316.797 * * [misc]simplify: iters left: 3 (34 enodes) 1540326316.803 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.803 * [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))))) 1540326316.803 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540326316.804 * * [misc]simplify: iters left: 6 (14 enodes) 1540326316.807 * * [misc]simplify: iters left: 5 (20 enodes) 1540326316.812 * * [misc]simplify: iters left: 4 (29 enodes) 1540326316.817 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.822 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540326316.822 * [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))))) 1540326316.822 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1540326316.822 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326316.823 * * [misc]simplify: iters left: 6 (14 enodes) 1540326316.825 * * [misc]simplify: iters left: 5 (20 enodes) 1540326316.829 * * [misc]simplify: iters left: 4 (29 enodes) 1540326316.836 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.847 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326316.847 * [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))))) 1540326316.847 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326316.849 * * [misc]simplify: iters left: 6 (14 enodes) 1540326316.854 * * [misc]simplify: iters left: 5 (20 enodes) 1540326316.862 * * [misc]simplify: iters left: 4 (29 enodes) 1540326316.872 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.882 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326316.882 * [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))))) 1540326316.882 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1540326316.883 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1540326316.884 * * [misc]simplify: iters left: 6 (13 enodes) 1540326316.890 * * [misc]simplify: iters left: 5 (21 enodes) 1540326316.899 * * [misc]simplify: iters left: 4 (32 enodes) 1540326316.908 * * [misc]simplify: iters left: 3 (33 enodes) 1540326316.918 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1540326316.918 * [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)))) 1540326316.918 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540326316.920 * * [misc]simplify: iters left: 6 (13 enodes) 1540326316.928 * * [misc]simplify: iters left: 5 (19 enodes) 1540326316.936 * * [misc]simplify: iters left: 4 (28 enodes) 1540326316.945 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.955 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540326316.955 * [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)))) 1540326316.955 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1540326316.956 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326316.956 * * [misc]simplify: iters left: 6 (6 enodes) 1540326316.959 * * [misc]simplify: iters left: 5 (10 enodes) 1540326316.962 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540326316.962 * [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))))) 1540326316.963 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540326316.964 * * [misc]simplify: iters left: 6 (13 enodes) 1540326316.970 * * [misc]simplify: iters left: 5 (19 enodes) 1540326316.977 * * [misc]simplify: iters left: 4 (28 enodes) 1540326316.986 * * [misc]simplify: iters left: 3 (30 enodes) 1540326316.997 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540326316.997 * [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))))) 1540326316.997 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1540326316.997 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540326316.997 * * [misc]simplify: iters left: 4 (5 enodes) 1540326316.999 * * [misc]simplify: iters left: 3 (7 enodes) 1540326317.001 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540326317.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540326317.002 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326317.003 * * [misc]simplify: iters left: 6 (13 enodes) 1540326317.009 * * [misc]simplify: iters left: 5 (19 enodes) 1540326317.017 * * [misc]simplify: iters left: 4 (28 enodes) 1540326317.026 * * [misc]simplify: iters left: 3 (30 enodes) 1540326317.037 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326317.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540326317.037 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1540326317.037 * [enter]simplify: Simplifying (/ 1 1) 1540326317.037 * * [misc]simplify: iters left: 2 (2 enodes) 1540326317.038 * * [misc]simplify: iters left: 1 (4 enodes) 1540326317.039 * [exit]simplify: Simplified to 1 1540326317.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1540326317.039 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540326317.040 * * [misc]simplify: iters left: 6 (12 enodes) 1540326317.046 * * [misc]simplify: iters left: 5 (18 enodes) 1540326317.054 * * [misc]simplify: iters left: 4 (27 enodes) 1540326317.064 * * [misc]simplify: iters left: 3 (29 enodes) 1540326317.074 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1540326317.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1540326317.074 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1540326317.075 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1540326317.075 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1540326317.075 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1540326317.075 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540326317.076 * * [misc]simplify: iters left: 2 (3 enodes) 1540326317.077 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540326317.077 * [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)))) 1540326317.077 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1540326317.077 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540326317.077 * * [misc]simplify: iters left: 2 (3 enodes) 1540326317.078 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326317.078 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540326317.079 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1540326317.079 * [enter]simplify: Simplifying (sqrt k) 1540326317.079 * * [misc]simplify: iters left: 1 (2 enodes) 1540326317.080 * [exit]simplify: Simplified to (sqrt k) 1540326317.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1540326317.080 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1540326317.080 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540326317.081 * * [misc]simplify: iters left: 5 (7 enodes) 1540326317.084 * * [misc]simplify: iters left: 4 (12 enodes) 1540326317.089 * * [misc]simplify: iters left: 3 (18 enodes) 1540326317.096 * * [misc]simplify: iters left: 2 (20 enodes) 1540326317.102 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540326317.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540326317.102 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1540326317.103 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540326317.103 * * [misc]simplify: iters left: 5 (7 enodes) 1540326317.106 * * [misc]simplify: iters left: 4 (12 enodes) 1540326317.111 * * [misc]simplify: iters left: 3 (18 enodes) 1540326317.117 * * [misc]simplify: iters left: 2 (20 enodes) 1540326317.124 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540326317.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540326317.124 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1540326317.124 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540326317.125 * * [misc]simplify: iters left: 5 (7 enodes) 1540326317.128 * * [misc]simplify: iters left: 4 (9 enodes) 1540326317.131 * * [misc]simplify: iters left: 3 (12 enodes) 1540326317.136 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540326317.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326317.136 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1540326317.136 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326317.138 * * [misc]simplify: iters left: 6 (12 enodes) 1540326317.143 * * [misc]simplify: iters left: 5 (18 enodes) 1540326317.151 * * [misc]simplify: iters left: 4 (27 enodes) 1540326317.159 * * [misc]simplify: iters left: 3 (29 enodes) 1540326317.166 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540326317.166 * [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))))))) 1540326317.166 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1540326317.167 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326317.167 * * [misc]simplify: iters left: 6 (11 enodes) 1540326317.170 * * [misc]simplify: iters left: 5 (17 enodes) 1540326317.174 * * [misc]simplify: iters left: 4 (26 enodes) 1540326317.178 * * [misc]simplify: iters left: 3 (27 enodes) 1540326317.183 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540326317.183 * [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))))))) 1540326317.183 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1540326317.183 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1540326317.183 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540326317.184 * * [misc]simplify: iters left: 5 (7 enodes) 1540326317.185 * * [misc]simplify: iters left: 4 (12 enodes) 1540326317.188 * * [misc]simplify: iters left: 3 (18 enodes) 1540326317.191 * * [misc]simplify: iters left: 2 (20 enodes) 1540326317.194 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540326317.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1540326317.194 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1540326317.194 * [enter]simplify: Simplifying (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) 1540326317.197 * * [misc]simplify: iters left: 6 (37 enodes) 1540326317.210 * * [misc]simplify: iters left: 5 (105 enodes) 1540326317.263 * * [misc]simplify: iters left: 4 (339 enodes) 1540326317.836 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1540326317.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1540326317.837 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1540326317.837 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540326317.839 * * [misc]simplify: iters left: 6 (15 enodes) 1540326317.848 * * [misc]simplify: iters left: 5 (33 enodes) 1540326317.864 * * [misc]simplify: iters left: 4 (64 enodes) 1540326317.897 * * [misc]simplify: iters left: 3 (171 enodes) 1540326318.079 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1540326318.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1540326318.080 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1540326318.080 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540326318.081 * * [misc]simplify: iters left: 6 (15 enodes) 1540326318.090 * * [misc]simplify: iters left: 5 (30 enodes) 1540326318.100 * * [misc]simplify: iters left: 4 (65 enodes) 1540326318.128 * * [misc]simplify: iters left: 3 (200 enodes) 1540326318.347 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1540326318.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1540326318.347 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1540326318.347 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540326318.348 * * [misc]simplify: iters left: 4 (5 enodes) 1540326318.350 * * [misc]simplify: iters left: 3 (9 enodes) 1540326318.354 * * [misc]simplify: iters left: 2 (15 enodes) 1540326318.359 * * [misc]simplify: iters left: 1 (17 enodes) 1540326318.367 * [exit]simplify: Simplified to (* (* PI n) 2) 1540326318.367 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540326318.368 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1540326318.368 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540326318.368 * * [misc]simplify: iters left: 4 (5 enodes) 1540326318.371 * * [misc]simplify: iters left: 3 (9 enodes) 1540326318.375 * * [misc]simplify: iters left: 2 (15 enodes) 1540326318.380 * * [misc]simplify: iters left: 1 (17 enodes) 1540326318.386 * [exit]simplify: Simplified to (* (* PI n) 2) 1540326318.386 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540326318.386 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1540326318.387 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540326318.387 * * [misc]simplify: iters left: 4 (5 enodes) 1540326318.390 * * [misc]simplify: iters left: 3 (9 enodes) 1540326318.395 * * [misc]simplify: iters left: 2 (15 enodes) 1540326318.400 * * [misc]simplify: iters left: 1 (17 enodes) 1540326318.406 * [exit]simplify: Simplified to (* (* PI n) 2) 1540326318.406 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540326318.406 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1540326318.406 * [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)))))))))))))))))))))) 1540326318.406 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326318.406 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1540326318.407 * [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)))))))) 1540326318.407 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326318.407 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1540326318.407 * [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))))))))))) 1540326318.407 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326318.407 * * * [misc]progress: adding candidates to table 1540326319.915 * * [misc]progress: iteration 2 / 4 1540326319.915 * * * [misc]progress: picking best candidate 1540326320.089 * * * * [misc]pick: Picked # 1540326320.089 * * * [misc]progress: localizing error 1540326320.099 * * * [misc]progress: generating rewritten candidates 1540326320.099 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1540326320.119 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1540326320.139 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1540326320.208 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1540326320.285 * * * [misc]progress: generating series expansions 1540326320.285 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1540326320.286 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540326320.286 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540326320.286 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.286 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.286 * [misc]taylor: Taking taylor expansion of k in k 1540326320.286 * [misc]backup-simplify: Simplify 0 into 0 1540326320.286 * [misc]backup-simplify: Simplify 1 into 1 1540326320.286 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.286 * [misc]backup-simplify: Simplify 2 into 2 1540326320.286 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326320.286 * [misc]taylor: Taking taylor expansion of n in k 1540326320.286 * [misc]backup-simplify: Simplify n into n 1540326320.286 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.286 * [misc]backup-simplify: Simplify PI into PI 1540326320.286 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326320.287 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326320.287 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326320.287 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326320.287 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.287 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.288 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326320.288 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326320.288 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.288 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.288 * [misc]taylor: Taking taylor expansion of k in n 1540326320.288 * [misc]backup-simplify: Simplify k into k 1540326320.288 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.288 * [misc]backup-simplify: Simplify 2 into 2 1540326320.288 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.288 * [misc]taylor: Taking taylor expansion of n in n 1540326320.288 * [misc]backup-simplify: Simplify 0 into 0 1540326320.288 * [misc]backup-simplify: Simplify 1 into 1 1540326320.289 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.289 * [misc]backup-simplify: Simplify PI into PI 1540326320.289 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.289 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.290 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.291 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.291 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.291 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326320.291 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326320.291 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326320.292 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.293 * [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)))) 1540326320.294 * [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))))) 1540326320.294 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.294 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.294 * [misc]taylor: Taking taylor expansion of k in n 1540326320.294 * [misc]backup-simplify: Simplify k into k 1540326320.294 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.294 * [misc]backup-simplify: Simplify 2 into 2 1540326320.294 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.294 * [misc]taylor: Taking taylor expansion of n in n 1540326320.294 * [misc]backup-simplify: Simplify 0 into 0 1540326320.294 * [misc]backup-simplify: Simplify 1 into 1 1540326320.294 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.294 * [misc]backup-simplify: Simplify PI into PI 1540326320.294 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.295 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.295 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.296 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.297 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.297 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326320.297 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326320.297 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326320.298 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.298 * [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)))) 1540326320.299 * [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))))) 1540326320.299 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540326320.299 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540326320.299 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326320.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.299 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326320.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.300 * [misc]taylor: Taking taylor expansion of k in k 1540326320.300 * [misc]backup-simplify: Simplify 0 into 0 1540326320.300 * [misc]backup-simplify: Simplify 1 into 1 1540326320.300 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540326320.300 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326320.300 * [misc]taylor: Taking taylor expansion of n in k 1540326320.300 * [misc]backup-simplify: Simplify n into n 1540326320.300 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326320.300 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540326320.300 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540326320.300 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.300 * [misc]backup-simplify: Simplify 2 into 2 1540326320.300 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.300 * [misc]backup-simplify: Simplify PI into PI 1540326320.301 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.301 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.301 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326320.302 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.302 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.302 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.303 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540326320.304 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540326320.304 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540326320.306 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326320.307 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326320.310 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540326320.310 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.311 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.312 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540326320.314 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.314 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.314 * [misc]backup-simplify: Simplify 0 into 0 1540326320.314 * [misc]backup-simplify: Simplify 0 into 0 1540326320.315 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540326320.315 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326320.317 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.317 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.317 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326320.318 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.318 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540326320.319 * [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))))))) 1540326320.320 * [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))))))) 1540326320.321 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540326320.326 * [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 1540326320.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540326320.326 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.327 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.327 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540326320.329 * [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 1540326320.329 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.329 * [misc]backup-simplify: Simplify 0 into 0 1540326320.329 * [misc]backup-simplify: Simplify 0 into 0 1540326320.329 * [misc]backup-simplify: Simplify 0 into 0 1540326320.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540326320.331 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.334 * [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 1540326320.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326320.335 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.335 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.335 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540326320.338 * [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))))) 1540326320.343 * [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))))) 1540326320.349 * [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))))) 1540326320.349 * [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)))) 1540326320.349 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540326320.349 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.349 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.349 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of k in k 1540326320.349 * [misc]backup-simplify: Simplify 0 into 0 1540326320.349 * [misc]backup-simplify: Simplify 1 into 1 1540326320.349 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.349 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.349 * [misc]backup-simplify: Simplify 2 into 2 1540326320.349 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.349 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.349 * [misc]backup-simplify: Simplify PI into PI 1540326320.349 * [misc]taylor: Taking taylor expansion of n in k 1540326320.349 * [misc]backup-simplify: Simplify n into n 1540326320.350 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.350 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326320.350 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326320.350 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.350 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.350 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.350 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326320.351 * [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)))) 1540326320.351 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.351 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.351 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of k in n 1540326320.351 * [misc]backup-simplify: Simplify k into k 1540326320.351 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.351 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.351 * [misc]backup-simplify: Simplify 2 into 2 1540326320.351 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.351 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.351 * [misc]backup-simplify: Simplify PI into PI 1540326320.351 * [misc]taylor: Taking taylor expansion of n in n 1540326320.351 * [misc]backup-simplify: Simplify 0 into 0 1540326320.351 * [misc]backup-simplify: Simplify 1 into 1 1540326320.351 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.352 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.352 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.352 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.352 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.352 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.353 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.353 * [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))) 1540326320.353 * [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)))) 1540326320.354 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.354 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.354 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of k in n 1540326320.354 * [misc]backup-simplify: Simplify k into k 1540326320.354 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.354 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.354 * [misc]backup-simplify: Simplify 2 into 2 1540326320.354 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.354 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.354 * [misc]backup-simplify: Simplify PI into PI 1540326320.354 * [misc]taylor: Taking taylor expansion of n in n 1540326320.354 * [misc]backup-simplify: Simplify 0 into 0 1540326320.354 * [misc]backup-simplify: Simplify 1 into 1 1540326320.354 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.354 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.355 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.355 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.355 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.355 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.355 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.356 * [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))) 1540326320.356 * [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)))) 1540326320.357 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.357 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.357 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of k in k 1540326320.357 * [misc]backup-simplify: Simplify 0 into 0 1540326320.357 * [misc]backup-simplify: Simplify 1 into 1 1540326320.357 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.357 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540326320.357 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.357 * [misc]backup-simplify: Simplify 2 into 2 1540326320.357 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.357 * [misc]backup-simplify: Simplify PI into PI 1540326320.357 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.358 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.358 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326320.358 * [misc]taylor: Taking taylor expansion of n in k 1540326320.358 * [misc]backup-simplify: Simplify n into n 1540326320.358 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326320.358 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.358 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.358 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.358 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326320.358 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540326320.359 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540326320.359 * [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)))) 1540326320.360 * [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)))) 1540326320.360 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326320.363 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.363 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.363 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326320.363 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.364 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.364 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540326320.365 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.365 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.365 * [misc]backup-simplify: Simplify 0 into 0 1540326320.365 * [misc]backup-simplify: Simplify 0 into 0 1540326320.365 * [misc]backup-simplify: Simplify 0 into 0 1540326320.366 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.367 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.370 * [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 1540326320.370 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326320.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326320.371 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.371 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.372 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.372 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540326320.374 * [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 1540326320.374 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.374 * [misc]backup-simplify: Simplify 0 into 0 1540326320.374 * [misc]backup-simplify: Simplify 0 into 0 1540326320.374 * [misc]backup-simplify: Simplify 0 into 0 1540326320.374 * [misc]backup-simplify: Simplify 0 into 0 1540326320.375 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.381 * [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 1540326320.382 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326320.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326320.382 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.382 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.383 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.383 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540326320.386 * [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 1540326320.387 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.387 * [misc]backup-simplify: Simplify 0 into 0 1540326320.387 * [misc]backup-simplify: Simplify 0 into 0 1540326320.387 * [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))))) 1540326320.388 * [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)) 1540326320.388 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540326320.388 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of k in k 1540326320.388 * [misc]backup-simplify: Simplify 0 into 0 1540326320.388 * [misc]backup-simplify: Simplify 1 into 1 1540326320.388 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.388 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.388 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of -2 in k 1540326320.388 * [misc]backup-simplify: Simplify -2 into -2 1540326320.388 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.388 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.388 * [misc]backup-simplify: Simplify PI into PI 1540326320.388 * [misc]taylor: Taking taylor expansion of n in k 1540326320.388 * [misc]backup-simplify: Simplify n into n 1540326320.388 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.389 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326320.389 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326320.389 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.389 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.389 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326320.389 * [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))) 1540326320.389 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.389 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of k in n 1540326320.390 * [misc]backup-simplify: Simplify k into k 1540326320.390 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.390 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.390 * [misc]backup-simplify: Simplify -2 into -2 1540326320.390 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.390 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.390 * [misc]backup-simplify: Simplify PI into PI 1540326320.390 * [misc]taylor: Taking taylor expansion of n in n 1540326320.390 * [misc]backup-simplify: Simplify 0 into 0 1540326320.390 * [misc]backup-simplify: Simplify 1 into 1 1540326320.390 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.391 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.391 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.391 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.391 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.393 * [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))) 1540326320.393 * [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)))) 1540326320.393 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.393 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.394 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of k in n 1540326320.394 * [misc]backup-simplify: Simplify k into k 1540326320.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.394 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.394 * [misc]backup-simplify: Simplify -2 into -2 1540326320.394 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.394 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.394 * [misc]backup-simplify: Simplify PI into PI 1540326320.394 * [misc]taylor: Taking taylor expansion of n in n 1540326320.394 * [misc]backup-simplify: Simplify 0 into 0 1540326320.394 * [misc]backup-simplify: Simplify 1 into 1 1540326320.394 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.395 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.395 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.395 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.395 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.396 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.396 * [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))) 1540326320.397 * [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)))) 1540326320.397 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540326320.397 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540326320.397 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326320.397 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.397 * [misc]taylor: Taking taylor expansion of k in k 1540326320.397 * [misc]backup-simplify: Simplify 0 into 0 1540326320.397 * [misc]backup-simplify: Simplify 1 into 1 1540326320.398 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.398 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540326320.398 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540326320.398 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540326320.398 * [misc]taylor: Taking taylor expansion of -2 in k 1540326320.398 * [misc]backup-simplify: Simplify -2 into -2 1540326320.398 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.398 * [misc]backup-simplify: Simplify PI into PI 1540326320.398 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.399 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.399 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326320.399 * [misc]taylor: Taking taylor expansion of n in k 1540326320.399 * [misc]backup-simplify: Simplify n into n 1540326320.399 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326320.399 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.399 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.399 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326320.400 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540326320.401 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540326320.401 * [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)))) 1540326320.402 * [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)))) 1540326320.403 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.404 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326320.407 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540326320.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326320.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.409 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540326320.410 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.410 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.410 * [misc]backup-simplify: Simplify 0 into 0 1540326320.410 * [misc]backup-simplify: Simplify 0 into 0 1540326320.410 * [misc]backup-simplify: Simplify 0 into 0 1540326320.412 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.413 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.418 * [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 1540326320.418 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326320.418 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326320.418 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.420 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540326320.421 * [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 1540326320.421 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.421 * [misc]backup-simplify: Simplify 0 into 0 1540326320.421 * [misc]backup-simplify: Simplify 0 into 0 1540326320.421 * [misc]backup-simplify: Simplify 0 into 0 1540326320.421 * [misc]backup-simplify: Simplify 0 into 0 1540326320.423 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.424 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.429 * [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 1540326320.429 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326320.430 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326320.430 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.431 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540326320.433 * [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 1540326320.433 * [misc]taylor: Taking taylor expansion of 0 in k 1540326320.433 * [misc]backup-simplify: Simplify 0 into 0 1540326320.433 * [misc]backup-simplify: Simplify 0 into 0 1540326320.434 * [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))))) 1540326320.434 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1540326320.434 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540326320.434 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540326320.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.434 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.435 * [misc]backup-simplify: Simplify 2 into 2 1540326320.435 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.435 * [misc]taylor: Taking taylor expansion of n in n 1540326320.435 * [misc]backup-simplify: Simplify 0 into 0 1540326320.435 * [misc]backup-simplify: Simplify 1 into 1 1540326320.435 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.435 * [misc]backup-simplify: Simplify PI into PI 1540326320.435 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.435 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.435 * [misc]backup-simplify: Simplify 2 into 2 1540326320.435 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.435 * [misc]taylor: Taking taylor expansion of n in n 1540326320.435 * [misc]backup-simplify: Simplify 0 into 0 1540326320.435 * [misc]backup-simplify: Simplify 1 into 1 1540326320.435 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.435 * [misc]backup-simplify: Simplify PI into PI 1540326320.435 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.435 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.435 * [misc]backup-simplify: Simplify 0 into 0 1540326320.436 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.436 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.436 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326320.438 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326320.438 * [misc]backup-simplify: Simplify 0 into 0 1540326320.439 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.440 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540326320.440 * [misc]backup-simplify: Simplify 0 into 0 1540326320.441 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326320.442 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540326320.442 * [misc]backup-simplify: Simplify 0 into 0 1540326320.444 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540326320.445 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540326320.446 * [misc]backup-simplify: Simplify 0 into 0 1540326320.449 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540326320.451 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540326320.451 * [misc]backup-simplify: Simplify 0 into 0 1540326320.454 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540326320.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540326320.456 * [misc]backup-simplify: Simplify 0 into 0 1540326320.457 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540326320.457 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540326320.457 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540326320.457 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.457 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.457 * [misc]backup-simplify: Simplify 2 into 2 1540326320.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.457 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.457 * [misc]backup-simplify: Simplify PI into PI 1540326320.457 * [misc]taylor: Taking taylor expansion of n in n 1540326320.457 * [misc]backup-simplify: Simplify 0 into 0 1540326320.457 * [misc]backup-simplify: Simplify 1 into 1 1540326320.457 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.457 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.457 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.457 * [misc]backup-simplify: Simplify 2 into 2 1540326320.457 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.457 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.457 * [misc]backup-simplify: Simplify PI into PI 1540326320.457 * [misc]taylor: Taking taylor expansion of n in n 1540326320.457 * [misc]backup-simplify: Simplify 0 into 0 1540326320.457 * [misc]backup-simplify: Simplify 1 into 1 1540326320.458 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.458 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.458 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326320.459 * [misc]backup-simplify: Simplify 0 into 0 1540326320.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.461 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.461 * [misc]backup-simplify: Simplify 0 into 0 1540326320.462 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.463 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.463 * [misc]backup-simplify: Simplify 0 into 0 1540326320.464 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326320.465 * [misc]backup-simplify: Simplify 0 into 0 1540326320.467 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.468 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540326320.468 * [misc]backup-simplify: Simplify 0 into 0 1540326320.470 * [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 1540326320.472 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540326320.472 * [misc]backup-simplify: Simplify 0 into 0 1540326320.472 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540326320.472 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540326320.472 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540326320.472 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.472 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.472 * [misc]backup-simplify: Simplify -2 into -2 1540326320.472 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.472 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.472 * [misc]backup-simplify: Simplify PI into PI 1540326320.472 * [misc]taylor: Taking taylor expansion of n in n 1540326320.472 * [misc]backup-simplify: Simplify 0 into 0 1540326320.472 * [misc]backup-simplify: Simplify 1 into 1 1540326320.472 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.472 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.472 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.472 * [misc]backup-simplify: Simplify -2 into -2 1540326320.472 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.472 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.472 * [misc]backup-simplify: Simplify PI into PI 1540326320.472 * [misc]taylor: Taking taylor expansion of n in n 1540326320.473 * [misc]backup-simplify: Simplify 0 into 0 1540326320.473 * [misc]backup-simplify: Simplify 1 into 1 1540326320.473 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.473 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.473 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.474 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.474 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326320.474 * [misc]backup-simplify: Simplify 0 into 0 1540326320.475 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.476 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.476 * [misc]backup-simplify: Simplify 0 into 0 1540326320.477 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.478 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.478 * [misc]backup-simplify: Simplify 0 into 0 1540326320.479 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.480 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540326320.480 * [misc]backup-simplify: Simplify 0 into 0 1540326320.482 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.483 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540326320.483 * [misc]backup-simplify: Simplify 0 into 0 1540326320.485 * [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 1540326320.487 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540326320.487 * [misc]backup-simplify: Simplify 0 into 0 1540326320.487 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540326320.487 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1540326320.487 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540326320.487 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540326320.487 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.488 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.488 * [misc]taylor: Taking taylor expansion of k in n 1540326320.488 * [misc]backup-simplify: Simplify k into k 1540326320.488 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.488 * [misc]backup-simplify: Simplify 2 into 2 1540326320.488 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.488 * [misc]taylor: Taking taylor expansion of n in n 1540326320.488 * [misc]backup-simplify: Simplify 0 into 0 1540326320.488 * [misc]backup-simplify: Simplify 1 into 1 1540326320.488 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.488 * [misc]backup-simplify: Simplify PI into PI 1540326320.488 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.488 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.489 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.489 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.489 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326320.490 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326320.490 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326320.490 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.490 * [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)))) 1540326320.491 * [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))))) 1540326320.491 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1540326320.491 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326320.491 * [misc]taylor: Taking taylor expansion of k in n 1540326320.491 * [misc]backup-simplify: Simplify k into k 1540326320.492 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326320.492 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326320.492 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.492 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.492 * [misc]taylor: Taking taylor expansion of k in k 1540326320.492 * [misc]backup-simplify: Simplify 0 into 0 1540326320.492 * [misc]backup-simplify: Simplify 1 into 1 1540326320.492 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.492 * [misc]backup-simplify: Simplify 2 into 2 1540326320.492 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326320.492 * [misc]taylor: Taking taylor expansion of n in k 1540326320.492 * [misc]backup-simplify: Simplify n into n 1540326320.492 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.492 * [misc]backup-simplify: Simplify PI into PI 1540326320.492 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326320.492 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326320.492 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326320.492 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326320.492 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.492 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.493 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326320.493 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326320.493 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1540326320.493 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326320.493 * [misc]taylor: Taking taylor expansion of k in k 1540326320.493 * [misc]backup-simplify: Simplify 0 into 0 1540326320.493 * [misc]backup-simplify: Simplify 1 into 1 1540326320.493 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.493 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.493 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.494 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.494 * [misc]taylor: Taking taylor expansion of k in k 1540326320.494 * [misc]backup-simplify: Simplify 0 into 0 1540326320.494 * [misc]backup-simplify: Simplify 1 into 1 1540326320.494 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.494 * [misc]backup-simplify: Simplify 2 into 2 1540326320.494 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326320.494 * [misc]taylor: Taking taylor expansion of n in k 1540326320.494 * [misc]backup-simplify: Simplify n into n 1540326320.494 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.494 * [misc]backup-simplify: Simplify PI into PI 1540326320.494 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326320.494 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326320.494 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326320.494 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326320.494 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.494 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.495 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326320.495 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326320.495 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1540326320.495 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326320.495 * [misc]taylor: Taking taylor expansion of k in k 1540326320.495 * [misc]backup-simplify: Simplify 0 into 0 1540326320.495 * [misc]backup-simplify: Simplify 1 into 1 1540326320.495 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.495 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.496 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1540326320.496 * [misc]taylor: Taking taylor expansion of 0 in n 1540326320.496 * [misc]backup-simplify: Simplify 0 into 0 1540326320.496 * [misc]backup-simplify: Simplify 0 into 0 1540326320.496 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1540326320.496 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1540326320.497 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1540326320.497 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326320.497 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.497 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.497 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1540326320.498 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1540326320.500 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1540326320.501 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1540326320.501 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1540326320.501 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1540326320.501 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.501 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.501 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1540326320.501 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1540326320.501 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1540326320.501 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.501 * [misc]taylor: Taking taylor expansion of n in n 1540326320.501 * [misc]backup-simplify: Simplify 0 into 0 1540326320.501 * [misc]backup-simplify: Simplify 1 into 1 1540326320.501 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.501 * [misc]backup-simplify: Simplify PI into PI 1540326320.501 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.502 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.502 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1540326320.502 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.503 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1540326320.503 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326320.503 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.503 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326320.503 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326320.504 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.504 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540326320.505 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.506 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.507 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.507 * [misc]backup-simplify: Simplify 0 into 0 1540326320.508 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326320.508 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1540326320.510 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1540326320.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326320.510 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1540326320.513 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1540326320.520 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1540326320.528 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1540326320.528 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1540326320.528 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1540326320.528 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1540326320.528 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.528 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.528 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1540326320.528 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1540326320.528 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.528 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.528 * [misc]backup-simplify: Simplify 2 into 2 1540326320.528 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.528 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.528 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1540326320.529 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.529 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.529 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.529 * [misc]backup-simplify: Simplify 2 into 2 1540326320.529 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.529 * [misc]taylor: Taking taylor expansion of n in n 1540326320.529 * [misc]backup-simplify: Simplify 0 into 0 1540326320.529 * [misc]backup-simplify: Simplify 1 into 1 1540326320.529 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.529 * [misc]backup-simplify: Simplify PI into PI 1540326320.529 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.529 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.530 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.530 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.530 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.530 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540326320.530 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326320.531 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.531 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326320.531 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326320.531 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1540326320.531 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1540326320.531 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.531 * [misc]taylor: Taking taylor expansion of n in n 1540326320.531 * [misc]backup-simplify: Simplify 0 into 0 1540326320.531 * [misc]backup-simplify: Simplify 1 into 1 1540326320.531 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.531 * [misc]backup-simplify: Simplify PI into PI 1540326320.531 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.532 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.532 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1540326320.532 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.533 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1540326320.533 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1540326320.533 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1540326320.533 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.533 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.533 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1540326320.533 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1540326320.533 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1540326320.533 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.533 * [misc]taylor: Taking taylor expansion of n in n 1540326320.533 * [misc]backup-simplify: Simplify 0 into 0 1540326320.533 * [misc]backup-simplify: Simplify 1 into 1 1540326320.533 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.533 * [misc]backup-simplify: Simplify PI into PI 1540326320.533 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.534 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.534 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1540326320.534 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.534 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1540326320.534 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326320.534 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.535 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326320.535 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326320.535 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.538 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540326320.540 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1540326320.541 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1540326320.541 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.542 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540326320.542 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326320.543 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326320.545 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.546 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540326320.547 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1540326320.550 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1540326320.551 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1540326320.558 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1540326320.558 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.559 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540326320.560 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.562 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540326320.571 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1540326320.579 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1540326320.587 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1540326320.588 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540326320.588 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326320.589 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1540326320.590 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1540326320.593 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540326320.597 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540326320.600 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540326320.601 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540326320.621 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1540326320.621 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540326320.621 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540326320.621 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.621 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.622 * [misc]taylor: Taking taylor expansion of k in n 1540326320.622 * [misc]backup-simplify: Simplify k into k 1540326320.622 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.622 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.622 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.622 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.622 * [misc]backup-simplify: Simplify 2 into 2 1540326320.622 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.622 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.622 * [misc]backup-simplify: Simplify PI into PI 1540326320.622 * [misc]taylor: Taking taylor expansion of n in n 1540326320.622 * [misc]backup-simplify: Simplify 0 into 0 1540326320.622 * [misc]backup-simplify: Simplify 1 into 1 1540326320.622 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.622 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.623 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.623 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.623 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.623 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.623 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.624 * [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))) 1540326320.624 * [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)))) 1540326320.625 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.625 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326320.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.625 * [misc]taylor: Taking taylor expansion of k in n 1540326320.625 * [misc]backup-simplify: Simplify k into k 1540326320.625 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.625 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326320.625 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.625 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326320.625 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of k in k 1540326320.625 * [misc]backup-simplify: Simplify 0 into 0 1540326320.625 * [misc]backup-simplify: Simplify 1 into 1 1540326320.625 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.625 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326320.625 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.625 * [misc]backup-simplify: Simplify 2 into 2 1540326320.626 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.626 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.626 * [misc]backup-simplify: Simplify PI into PI 1540326320.626 * [misc]taylor: Taking taylor expansion of n in k 1540326320.626 * [misc]backup-simplify: Simplify n into n 1540326320.626 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.626 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326320.626 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326320.626 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.626 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.626 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.626 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326320.626 * [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)))) 1540326320.627 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1540326320.627 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of k in k 1540326320.627 * [misc]backup-simplify: Simplify 0 into 0 1540326320.627 * [misc]backup-simplify: Simplify 1 into 1 1540326320.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.627 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.627 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.627 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.627 * [misc]taylor: Taking taylor expansion of k in k 1540326320.627 * [misc]backup-simplify: Simplify 0 into 0 1540326320.627 * [misc]backup-simplify: Simplify 1 into 1 1540326320.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.628 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326320.628 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326320.628 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.628 * [misc]backup-simplify: Simplify 2 into 2 1540326320.628 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.628 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.628 * [misc]backup-simplify: Simplify PI into PI 1540326320.628 * [misc]taylor: Taking taylor expansion of n in k 1540326320.628 * [misc]backup-simplify: Simplify n into n 1540326320.628 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.628 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326320.628 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326320.628 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.628 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.628 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.628 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326320.628 * [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)))) 1540326320.629 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1540326320.629 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326320.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.629 * [misc]taylor: Taking taylor expansion of k in k 1540326320.629 * [misc]backup-simplify: Simplify 0 into 0 1540326320.629 * [misc]backup-simplify: Simplify 1 into 1 1540326320.629 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.629 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.629 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.629 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540326320.629 * [misc]taylor: Taking taylor expansion of 0 in n 1540326320.629 * [misc]backup-simplify: Simplify 0 into 0 1540326320.629 * [misc]backup-simplify: Simplify 0 into 0 1540326320.630 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326320.630 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326320.630 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.630 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.630 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.630 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.630 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.630 * [misc]taylor: Taking taylor expansion of k in n 1540326320.630 * [misc]backup-simplify: Simplify k into k 1540326320.630 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.630 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.631 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.631 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.631 * [misc]backup-simplify: Simplify 2 into 2 1540326320.631 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.631 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.631 * [misc]backup-simplify: Simplify PI into PI 1540326320.631 * [misc]taylor: Taking taylor expansion of n in n 1540326320.631 * [misc]backup-simplify: Simplify 0 into 0 1540326320.631 * [misc]backup-simplify: Simplify 1 into 1 1540326320.631 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.631 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.631 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.631 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.632 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.632 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.632 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.632 * [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))) 1540326320.633 * [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)))) 1540326320.633 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.634 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.634 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540326320.635 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540326320.635 * [misc]backup-simplify: Simplify 0 into 0 1540326320.635 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326320.636 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326320.636 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326320.637 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326320.637 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.637 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.637 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.637 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.637 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of k in n 1540326320.637 * [misc]backup-simplify: Simplify k into k 1540326320.637 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.637 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.637 * [misc]backup-simplify: Simplify 2 into 2 1540326320.637 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.637 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.637 * [misc]backup-simplify: Simplify PI into PI 1540326320.637 * [misc]taylor: Taking taylor expansion of n in n 1540326320.637 * [misc]backup-simplify: Simplify 0 into 0 1540326320.637 * [misc]backup-simplify: Simplify 1 into 1 1540326320.637 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.638 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.638 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.638 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.638 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.638 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.639 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.639 * [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))) 1540326320.639 * [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)))) 1540326320.640 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.640 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.641 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540326320.642 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540326320.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.643 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326320.649 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326320.649 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.651 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540326320.653 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.655 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1540326320.656 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540326320.656 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.656 * [misc]backup-simplify: Simplify 0 into 0 1540326320.656 * [misc]backup-simplify: Simplify 0 into 0 1540326320.656 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.657 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326320.659 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326320.660 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326320.660 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.660 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.660 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.660 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.660 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.660 * [misc]taylor: Taking taylor expansion of k in n 1540326320.660 * [misc]backup-simplify: Simplify k into k 1540326320.661 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.661 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.661 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.661 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.661 * [misc]backup-simplify: Simplify 2 into 2 1540326320.661 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.661 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.661 * [misc]backup-simplify: Simplify PI into PI 1540326320.661 * [misc]taylor: Taking taylor expansion of n in n 1540326320.661 * [misc]backup-simplify: Simplify 0 into 0 1540326320.661 * [misc]backup-simplify: Simplify 1 into 1 1540326320.661 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.662 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.662 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.662 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.662 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.662 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.664 * [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))) 1540326320.665 * [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)))) 1540326320.665 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.666 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540326320.667 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540326320.668 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540326320.672 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1540326320.672 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326320.672 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540326320.672 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.672 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of -1 in n 1540326320.673 * [misc]backup-simplify: Simplify -1 into -1 1540326320.673 * [misc]taylor: Taking taylor expansion of k in n 1540326320.673 * [misc]backup-simplify: Simplify k into k 1540326320.673 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326320.673 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326320.673 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326320.673 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326320.673 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.673 * [misc]taylor: Taking taylor expansion of k in n 1540326320.673 * [misc]backup-simplify: Simplify k into k 1540326320.674 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.674 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.674 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.674 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.674 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.674 * [misc]backup-simplify: Simplify -2 into -2 1540326320.674 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.674 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.674 * [misc]backup-simplify: Simplify PI into PI 1540326320.674 * [misc]taylor: Taking taylor expansion of n in n 1540326320.674 * [misc]backup-simplify: Simplify 0 into 0 1540326320.674 * [misc]backup-simplify: Simplify 1 into 1 1540326320.674 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.675 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.675 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.675 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.676 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.677 * [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))) 1540326320.678 * [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)))) 1540326320.679 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540326320.679 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326320.679 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326320.679 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326320.679 * [misc]taylor: Taking taylor expansion of -1 in k 1540326320.679 * [misc]backup-simplify: Simplify -1 into -1 1540326320.679 * [misc]taylor: Taking taylor expansion of k in k 1540326320.679 * [misc]backup-simplify: Simplify 0 into 0 1540326320.679 * [misc]backup-simplify: Simplify 1 into 1 1540326320.679 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326320.679 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.680 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326320.680 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.680 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of k in k 1540326320.680 * [misc]backup-simplify: Simplify 0 into 0 1540326320.680 * [misc]backup-simplify: Simplify 1 into 1 1540326320.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.680 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of -2 in k 1540326320.680 * [misc]backup-simplify: Simplify -2 into -2 1540326320.680 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.680 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.680 * [misc]backup-simplify: Simplify PI into PI 1540326320.681 * [misc]taylor: Taking taylor expansion of n in k 1540326320.681 * [misc]backup-simplify: Simplify n into n 1540326320.681 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.681 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326320.681 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326320.681 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.681 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.681 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326320.682 * [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))) 1540326320.682 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326320.682 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326320.682 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326320.682 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326320.682 * [misc]taylor: Taking taylor expansion of -1 in k 1540326320.682 * [misc]backup-simplify: Simplify -1 into -1 1540326320.682 * [misc]taylor: Taking taylor expansion of k in k 1540326320.682 * [misc]backup-simplify: Simplify 0 into 0 1540326320.682 * [misc]backup-simplify: Simplify 1 into 1 1540326320.683 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326320.683 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.683 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326320.683 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326320.683 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326320.683 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326320.683 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326320.683 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.683 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.684 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.684 * [misc]taylor: Taking taylor expansion of k in k 1540326320.684 * [misc]backup-simplify: Simplify 0 into 0 1540326320.684 * [misc]backup-simplify: Simplify 1 into 1 1540326320.684 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.684 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326320.684 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326320.684 * [misc]taylor: Taking taylor expansion of -2 in k 1540326320.684 * [misc]backup-simplify: Simplify -2 into -2 1540326320.684 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.684 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.684 * [misc]backup-simplify: Simplify PI into PI 1540326320.684 * [misc]taylor: Taking taylor expansion of n in k 1540326320.684 * [misc]backup-simplify: Simplify n into n 1540326320.684 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.684 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326320.685 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326320.685 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.685 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.685 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326320.685 * [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))) 1540326320.686 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326320.686 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326320.686 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.686 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.686 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.686 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.686 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.686 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.686 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.686 * [misc]backup-simplify: Simplify -2 into -2 1540326320.686 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.686 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.686 * [misc]backup-simplify: Simplify PI into PI 1540326320.686 * [misc]taylor: Taking taylor expansion of n in n 1540326320.686 * [misc]backup-simplify: Simplify 0 into 0 1540326320.686 * [misc]backup-simplify: Simplify 1 into 1 1540326320.687 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.687 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.688 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.688 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.688 * [misc]taylor: Taking taylor expansion of k in n 1540326320.688 * [misc]backup-simplify: Simplify k into k 1540326320.688 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.689 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.689 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.689 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.690 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326320.690 * [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)))) 1540326320.691 * [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))))) 1540326320.692 * [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))))) 1540326320.692 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540326320.693 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326320.695 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540326320.695 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.695 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.695 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.695 * [misc]backup-simplify: Simplify -2 into -2 1540326320.695 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.695 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.695 * [misc]backup-simplify: Simplify PI into PI 1540326320.695 * [misc]taylor: Taking taylor expansion of n in n 1540326320.695 * [misc]backup-simplify: Simplify 0 into 0 1540326320.695 * [misc]backup-simplify: Simplify 1 into 1 1540326320.696 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.696 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.696 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.696 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.697 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.697 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.697 * [misc]taylor: Taking taylor expansion of k in n 1540326320.697 * [misc]backup-simplify: Simplify k into k 1540326320.697 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.697 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.698 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.698 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.698 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326320.699 * [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)))) 1540326320.700 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540326320.701 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540326320.702 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540326320.703 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540326320.703 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.704 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326320.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.705 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.706 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326320.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540326320.710 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1540326320.712 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.714 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1540326320.714 * [misc]backup-simplify: Simplify 0 into 0 1540326320.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.716 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326320.718 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540326320.718 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.718 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.718 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.718 * [misc]backup-simplify: Simplify -2 into -2 1540326320.718 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.718 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.718 * [misc]backup-simplify: Simplify PI into PI 1540326320.718 * [misc]taylor: Taking taylor expansion of n in n 1540326320.718 * [misc]backup-simplify: Simplify 0 into 0 1540326320.718 * [misc]backup-simplify: Simplify 1 into 1 1540326320.719 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.719 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.720 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.720 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.720 * [misc]taylor: Taking taylor expansion of k in n 1540326320.720 * [misc]backup-simplify: Simplify k into k 1540326320.720 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.721 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.721 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.721 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.722 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326320.723 * [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)))) 1540326320.724 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540326320.725 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540326320.725 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540326320.726 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540326320.730 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1540326320.730 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1540326320.731 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1540326320.731 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1540326320.731 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of k in n 1540326320.731 * [misc]backup-simplify: Simplify k into k 1540326320.731 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.731 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326320.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.731 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326320.731 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.731 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326320.731 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.732 * [misc]taylor: Taking taylor expansion of k in n 1540326320.732 * [misc]backup-simplify: Simplify k into k 1540326320.732 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.732 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.732 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.732 * [misc]backup-simplify: Simplify 2 into 2 1540326320.732 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.732 * [misc]taylor: Taking taylor expansion of n in n 1540326320.732 * [misc]backup-simplify: Simplify 0 into 0 1540326320.732 * [misc]backup-simplify: Simplify 1 into 1 1540326320.732 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.732 * [misc]backup-simplify: Simplify PI into PI 1540326320.732 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.732 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.734 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.734 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.734 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326320.735 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326320.735 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326320.735 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.736 * [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)))) 1540326320.737 * [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))))) 1540326320.737 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540326320.737 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326320.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.737 * [misc]taylor: Taking taylor expansion of k in k 1540326320.737 * [misc]backup-simplify: Simplify 0 into 0 1540326320.737 * [misc]backup-simplify: Simplify 1 into 1 1540326320.737 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.737 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.738 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.738 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.738 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.738 * [misc]taylor: Taking taylor expansion of k in k 1540326320.738 * [misc]backup-simplify: Simplify 0 into 0 1540326320.738 * [misc]backup-simplify: Simplify 1 into 1 1540326320.738 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.738 * [misc]backup-simplify: Simplify 2 into 2 1540326320.738 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326320.738 * [misc]taylor: Taking taylor expansion of n in k 1540326320.738 * [misc]backup-simplify: Simplify n into n 1540326320.738 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.738 * [misc]backup-simplify: Simplify PI into PI 1540326320.738 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326320.739 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326320.739 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326320.739 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326320.739 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.739 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.739 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326320.740 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326320.740 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540326320.740 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326320.740 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.740 * [misc]taylor: Taking taylor expansion of k in k 1540326320.740 * [misc]backup-simplify: Simplify 0 into 0 1540326320.740 * [misc]backup-simplify: Simplify 1 into 1 1540326320.740 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.740 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.741 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.741 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.741 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.741 * [misc]taylor: Taking taylor expansion of k in k 1540326320.741 * [misc]backup-simplify: Simplify 0 into 0 1540326320.741 * [misc]backup-simplify: Simplify 1 into 1 1540326320.741 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.741 * [misc]backup-simplify: Simplify 2 into 2 1540326320.741 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540326320.741 * [misc]taylor: Taking taylor expansion of n in k 1540326320.741 * [misc]backup-simplify: Simplify n into n 1540326320.741 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.741 * [misc]backup-simplify: Simplify PI into PI 1540326320.742 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540326320.742 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540326320.742 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540326320.742 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326320.742 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.742 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.743 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540326320.743 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540326320.743 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1540326320.743 * [misc]taylor: Taking taylor expansion of 0 in n 1540326320.744 * [misc]backup-simplify: Simplify 0 into 0 1540326320.744 * [misc]backup-simplify: Simplify 0 into 0 1540326320.744 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1540326320.744 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1540326320.745 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1540326320.746 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326320.746 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.746 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.746 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1540326320.747 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1540326320.748 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1540326320.748 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540326320.748 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540326320.748 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.748 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.748 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540326320.748 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.748 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.748 * [misc]backup-simplify: Simplify 2 into 2 1540326320.749 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.749 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.749 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326320.749 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.749 * [misc]taylor: Taking taylor expansion of n in n 1540326320.749 * [misc]backup-simplify: Simplify 0 into 0 1540326320.749 * [misc]backup-simplify: Simplify 1 into 1 1540326320.749 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.749 * [misc]backup-simplify: Simplify PI into PI 1540326320.749 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.750 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.750 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.751 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326320.751 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540326320.751 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326320.751 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.751 * [misc]backup-simplify: Simplify 0 into 0 1540326320.751 * [misc]backup-simplify: Simplify 0 into 0 1540326320.752 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1540326320.753 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1540326320.755 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1540326320.756 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326320.756 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.756 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.757 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1540326320.759 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1540326320.759 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326320.760 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326320.763 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1540326320.763 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1540326320.763 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1540326320.763 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1540326320.763 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.763 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.763 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1540326320.763 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1540326320.763 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.763 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.763 * [misc]backup-simplify: Simplify 2 into 2 1540326320.763 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.763 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.763 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.764 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.764 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.764 * [misc]backup-simplify: Simplify 2 into 2 1540326320.764 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.764 * [misc]taylor: Taking taylor expansion of n in n 1540326320.764 * [misc]backup-simplify: Simplify 0 into 0 1540326320.764 * [misc]backup-simplify: Simplify 1 into 1 1540326320.764 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.764 * [misc]backup-simplify: Simplify PI into PI 1540326320.764 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.764 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.766 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.766 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.766 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326320.766 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.766 * [misc]taylor: Taking taylor expansion of n in n 1540326320.766 * [misc]backup-simplify: Simplify 0 into 0 1540326320.766 * [misc]backup-simplify: Simplify 1 into 1 1540326320.766 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.767 * [misc]backup-simplify: Simplify PI into PI 1540326320.767 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.767 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.768 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.768 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326320.768 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540326320.768 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540326320.768 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.768 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.768 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540326320.768 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.768 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.768 * [misc]backup-simplify: Simplify 2 into 2 1540326320.769 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.769 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.769 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326320.769 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.769 * [misc]taylor: Taking taylor expansion of n in n 1540326320.769 * [misc]backup-simplify: Simplify 0 into 0 1540326320.769 * [misc]backup-simplify: Simplify 1 into 1 1540326320.769 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.769 * [misc]backup-simplify: Simplify PI into PI 1540326320.769 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.770 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.770 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.771 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326320.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.772 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1540326320.773 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1540326320.773 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326320.773 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540326320.774 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326320.774 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.774 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.774 * [misc]backup-simplify: Simplify 0 into 0 1540326320.775 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.777 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.779 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.780 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.780 * [misc]backup-simplify: Simplify 0 into 0 1540326320.781 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540326320.782 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1540326320.786 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1540326320.787 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540326320.787 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.787 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1540326320.791 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1540326320.791 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.794 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326320.799 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1540326320.799 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1540326320.799 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.800 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.800 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.800 * [misc]backup-simplify: Simplify 2 into 2 1540326320.800 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.800 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.800 * [misc]backup-simplify: Simplify 2 into 2 1540326320.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.800 * [misc]taylor: Taking taylor expansion of n in n 1540326320.800 * [misc]backup-simplify: Simplify 0 into 0 1540326320.801 * [misc]backup-simplify: Simplify 1 into 1 1540326320.801 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.801 * [misc]backup-simplify: Simplify PI into PI 1540326320.801 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.801 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.802 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.803 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.803 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.803 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326320.803 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.803 * [misc]taylor: Taking taylor expansion of n in n 1540326320.803 * [misc]backup-simplify: Simplify 0 into 0 1540326320.803 * [misc]backup-simplify: Simplify 1 into 1 1540326320.803 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.803 * [misc]backup-simplify: Simplify PI into PI 1540326320.804 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.804 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.805 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.805 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326320.805 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1540326320.805 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1540326320.805 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1540326320.805 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.805 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.805 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1540326320.805 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1540326320.805 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.806 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.806 * [misc]backup-simplify: Simplify 2 into 2 1540326320.806 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.806 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.806 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1540326320.806 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540326320.806 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540326320.806 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.806 * [misc]backup-simplify: Simplify 2 into 2 1540326320.806 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.806 * [misc]taylor: Taking taylor expansion of n in n 1540326320.806 * [misc]backup-simplify: Simplify 0 into 0 1540326320.806 * [misc]backup-simplify: Simplify 1 into 1 1540326320.806 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.806 * [misc]backup-simplify: Simplify PI into PI 1540326320.807 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.807 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326320.808 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.808 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540326320.809 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.810 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326320.810 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.810 * [misc]taylor: Taking taylor expansion of n in n 1540326320.810 * [misc]backup-simplify: Simplify 0 into 0 1540326320.810 * [misc]backup-simplify: Simplify 1 into 1 1540326320.810 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.810 * [misc]backup-simplify: Simplify PI into PI 1540326320.810 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.811 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.811 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.812 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326320.812 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540326320.812 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540326320.812 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.812 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.812 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540326320.812 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326320.812 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.812 * [misc]backup-simplify: Simplify 2 into 2 1540326320.812 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326320.812 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326320.812 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326320.812 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326320.812 * [misc]taylor: Taking taylor expansion of n in n 1540326320.812 * [misc]backup-simplify: Simplify 0 into 0 1540326320.812 * [misc]backup-simplify: Simplify 1 into 1 1540326320.812 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.812 * [misc]backup-simplify: Simplify PI into PI 1540326320.813 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326320.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326320.814 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.814 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326320.815 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.816 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1540326320.816 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1540326320.817 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326320.817 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.818 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.819 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1540326320.820 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1540326320.822 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1540326320.822 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326320.822 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540326320.822 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326320.823 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.823 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.823 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.823 * [misc]backup-simplify: Simplify 0 into 0 1540326320.824 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326320.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540326320.829 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.830 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540326320.831 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540326320.832 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540326320.836 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540326320.837 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.839 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.840 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326320.845 * [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)))))))))) 1540326320.849 * [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))))))) 1540326320.853 * [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))))))) 1540326320.854 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326320.856 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540326320.857 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540326320.860 * [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)))) 1540326320.865 * [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)))) 1540326320.868 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540326320.870 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540326320.878 * [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))))))))))))) 1540326320.879 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1540326320.879 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1540326320.879 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.879 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326320.879 * [misc]taylor: Taking taylor expansion of k in n 1540326320.879 * [misc]backup-simplify: Simplify k into k 1540326320.879 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326320.879 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326320.879 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.879 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.879 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.879 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.879 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.880 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.880 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.880 * [misc]taylor: Taking taylor expansion of k in n 1540326320.880 * [misc]backup-simplify: Simplify k into k 1540326320.880 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.880 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.880 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.880 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.880 * [misc]backup-simplify: Simplify 2 into 2 1540326320.880 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.880 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.880 * [misc]backup-simplify: Simplify PI into PI 1540326320.880 * [misc]taylor: Taking taylor expansion of n in n 1540326320.880 * [misc]backup-simplify: Simplify 0 into 0 1540326320.880 * [misc]backup-simplify: Simplify 1 into 1 1540326320.881 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.882 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.882 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.882 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.882 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.883 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.883 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.884 * [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))) 1540326320.885 * [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)))) 1540326320.885 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326320.885 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326320.885 * [misc]taylor: Taking taylor expansion of k in k 1540326320.885 * [misc]backup-simplify: Simplify 0 into 0 1540326320.885 * [misc]backup-simplify: Simplify 1 into 1 1540326320.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.886 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.886 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.886 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.886 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of k in k 1540326320.886 * [misc]backup-simplify: Simplify 0 into 0 1540326320.886 * [misc]backup-simplify: Simplify 1 into 1 1540326320.886 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.886 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.886 * [misc]backup-simplify: Simplify 2 into 2 1540326320.886 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.886 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.886 * [misc]backup-simplify: Simplify PI into PI 1540326320.886 * [misc]taylor: Taking taylor expansion of n in k 1540326320.886 * [misc]backup-simplify: Simplify n into n 1540326320.887 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.887 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326320.887 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326320.887 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.887 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.887 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.887 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326320.888 * [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)))) 1540326320.888 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of k in k 1540326320.888 * [misc]backup-simplify: Simplify 0 into 0 1540326320.888 * [misc]backup-simplify: Simplify 1 into 1 1540326320.888 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.888 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326320.888 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.888 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of k in k 1540326320.888 * [misc]backup-simplify: Simplify 0 into 0 1540326320.888 * [misc]backup-simplify: Simplify 1 into 1 1540326320.888 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.888 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of 2 in k 1540326320.888 * [misc]backup-simplify: Simplify 2 into 2 1540326320.888 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.888 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.889 * [misc]backup-simplify: Simplify PI into PI 1540326320.889 * [misc]taylor: Taking taylor expansion of n in k 1540326320.889 * [misc]backup-simplify: Simplify n into n 1540326320.889 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.889 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540326320.889 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540326320.889 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.889 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326320.889 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326320.889 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540326320.889 * [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)))) 1540326320.890 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1540326320.890 * [misc]taylor: Taking taylor expansion of 0 in n 1540326320.890 * [misc]backup-simplify: Simplify 0 into 0 1540326320.890 * [misc]backup-simplify: Simplify 0 into 0 1540326320.890 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1540326320.890 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.890 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.890 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.890 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.890 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of k in n 1540326320.890 * [misc]backup-simplify: Simplify k into k 1540326320.890 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.890 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.890 * [misc]backup-simplify: Simplify 2 into 2 1540326320.890 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.890 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.890 * [misc]backup-simplify: Simplify PI into PI 1540326320.890 * [misc]taylor: Taking taylor expansion of n in n 1540326320.890 * [misc]backup-simplify: Simplify 0 into 0 1540326320.890 * [misc]backup-simplify: Simplify 1 into 1 1540326320.891 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.891 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.891 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.891 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.891 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.891 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.892 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.892 * [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))) 1540326320.893 * [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)))) 1540326320.893 * [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))))) 1540326320.894 * [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)))))) 1540326320.894 * [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)))))) 1540326320.894 * [misc]backup-simplify: Simplify 0 into 0 1540326320.895 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326320.895 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1540326320.895 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326320.895 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.896 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.896 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.896 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.896 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of k in n 1540326320.896 * [misc]backup-simplify: Simplify k into k 1540326320.896 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.896 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.896 * [misc]backup-simplify: Simplify 2 into 2 1540326320.896 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.896 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.896 * [misc]backup-simplify: Simplify PI into PI 1540326320.896 * [misc]taylor: Taking taylor expansion of n in n 1540326320.896 * [misc]backup-simplify: Simplify 0 into 0 1540326320.896 * [misc]backup-simplify: Simplify 1 into 1 1540326320.896 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.896 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.897 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.897 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.897 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.897 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.898 * [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))) 1540326320.898 * [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)))) 1540326320.899 * [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))))) 1540326320.899 * [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)))))) 1540326320.900 * [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)))))) 1540326320.901 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540326320.903 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540326320.903 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.903 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326320.903 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.903 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.904 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.904 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540326320.905 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.906 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540326320.906 * [misc]backup-simplify: Simplify (- 0) into 0 1540326320.906 * [misc]backup-simplify: Simplify 0 into 0 1540326320.906 * [misc]backup-simplify: Simplify 0 into 0 1540326320.907 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326320.907 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1540326320.907 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326320.907 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.908 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.908 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of k in n 1540326320.908 * [misc]backup-simplify: Simplify k into k 1540326320.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.908 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of 2 in n 1540326320.908 * [misc]backup-simplify: Simplify 2 into 2 1540326320.908 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.908 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.908 * [misc]backup-simplify: Simplify PI into PI 1540326320.908 * [misc]taylor: Taking taylor expansion of n in n 1540326320.908 * [misc]backup-simplify: Simplify 0 into 0 1540326320.908 * [misc]backup-simplify: Simplify 1 into 1 1540326320.908 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.908 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540326320.909 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540326320.909 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.909 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326320.909 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326320.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540326320.910 * [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))) 1540326320.910 * [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)))) 1540326320.911 * [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))))) 1540326320.911 * [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)))))) 1540326320.912 * [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)))))) 1540326320.914 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1540326320.914 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1540326320.914 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1540326320.914 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540326320.914 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.914 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540326320.914 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540326320.914 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.915 * [misc]taylor: Taking taylor expansion of k in n 1540326320.915 * [misc]backup-simplify: Simplify k into k 1540326320.915 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.915 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.915 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.915 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.915 * [misc]backup-simplify: Simplify -2 into -2 1540326320.915 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.915 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.915 * [misc]backup-simplify: Simplify PI into PI 1540326320.915 * [misc]taylor: Taking taylor expansion of n in n 1540326320.915 * [misc]backup-simplify: Simplify 0 into 0 1540326320.915 * [misc]backup-simplify: Simplify 1 into 1 1540326320.915 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.915 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.916 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.916 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.916 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.916 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.917 * [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))) 1540326320.917 * [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)))) 1540326320.917 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326320.917 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326320.917 * [misc]taylor: Taking taylor expansion of -1 in n 1540326320.919 * [misc]backup-simplify: Simplify -1 into -1 1540326320.919 * [misc]taylor: Taking taylor expansion of k in n 1540326320.919 * [misc]backup-simplify: Simplify k into k 1540326320.919 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326320.919 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326320.919 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326320.919 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326320.919 * [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))) 1540326320.919 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.920 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of k in k 1540326320.920 * [misc]backup-simplify: Simplify 0 into 0 1540326320.920 * [misc]backup-simplify: Simplify 1 into 1 1540326320.920 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.920 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.920 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of -2 in k 1540326320.920 * [misc]backup-simplify: Simplify -2 into -2 1540326320.920 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.920 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.920 * [misc]backup-simplify: Simplify PI into PI 1540326320.920 * [misc]taylor: Taking taylor expansion of n in k 1540326320.920 * [misc]backup-simplify: Simplify n into n 1540326320.920 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.920 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326320.920 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326320.920 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.920 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.921 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326320.921 * [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))) 1540326320.921 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326320.921 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326320.921 * [misc]taylor: Taking taylor expansion of -1 in k 1540326320.921 * [misc]backup-simplify: Simplify -1 into -1 1540326320.921 * [misc]taylor: Taking taylor expansion of k in k 1540326320.921 * [misc]backup-simplify: Simplify 0 into 0 1540326320.921 * [misc]backup-simplify: Simplify 1 into 1 1540326320.921 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326320.921 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.921 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326320.922 * [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)))) 1540326320.922 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of k in k 1540326320.922 * [misc]backup-simplify: Simplify 0 into 0 1540326320.922 * [misc]backup-simplify: Simplify 1 into 1 1540326320.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326320.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326320.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.922 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of -2 in k 1540326320.922 * [misc]backup-simplify: Simplify -2 into -2 1540326320.922 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540326320.922 * [misc]taylor: Taking taylor expansion of PI in k 1540326320.922 * [misc]backup-simplify: Simplify PI into PI 1540326320.922 * [misc]taylor: Taking taylor expansion of n in k 1540326320.922 * [misc]backup-simplify: Simplify n into n 1540326320.922 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540326320.922 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540326320.922 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540326320.922 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326320.923 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326320.923 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540326320.923 * [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))) 1540326320.923 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326320.923 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326320.923 * [misc]taylor: Taking taylor expansion of -1 in k 1540326320.923 * [misc]backup-simplify: Simplify -1 into -1 1540326320.923 * [misc]taylor: Taking taylor expansion of k in k 1540326320.923 * [misc]backup-simplify: Simplify 0 into 0 1540326320.923 * [misc]backup-simplify: Simplify 1 into 1 1540326320.923 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326320.923 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326320.923 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326320.924 * [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)))) 1540326320.924 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326320.924 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.924 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.924 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.924 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.924 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.924 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.924 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.924 * [misc]backup-simplify: Simplify -2 into -2 1540326320.924 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.924 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.924 * [misc]backup-simplify: Simplify PI into PI 1540326320.924 * [misc]taylor: Taking taylor expansion of n in n 1540326320.924 * [misc]backup-simplify: Simplify 0 into 0 1540326320.924 * [misc]backup-simplify: Simplify 1 into 1 1540326320.924 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.924 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.925 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.925 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.925 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.925 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.925 * [misc]taylor: Taking taylor expansion of k in n 1540326320.925 * [misc]backup-simplify: Simplify k into k 1540326320.925 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.926 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.926 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.926 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326320.926 * [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)))) 1540326320.927 * [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))))) 1540326320.928 * [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))))) 1540326320.928 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540326320.929 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326320.930 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326320.930 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.930 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.930 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.930 * [misc]backup-simplify: Simplify -2 into -2 1540326320.930 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.930 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.930 * [misc]backup-simplify: Simplify PI into PI 1540326320.930 * [misc]taylor: Taking taylor expansion of n in n 1540326320.930 * [misc]backup-simplify: Simplify 0 into 0 1540326320.930 * [misc]backup-simplify: Simplify 1 into 1 1540326320.931 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.931 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.931 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.932 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.932 * [misc]taylor: Taking taylor expansion of k in n 1540326320.932 * [misc]backup-simplify: Simplify k into k 1540326320.932 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.933 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.933 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.933 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326320.933 * [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)))) 1540326320.934 * [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))))) 1540326320.935 * [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)))))) 1540326320.935 * [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)))))) 1540326320.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.936 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326320.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326320.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326320.937 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540326320.937 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540326320.939 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540326320.940 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1540326320.941 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326320.941 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1540326320.941 * [misc]backup-simplify: Simplify 0 into 0 1540326320.942 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326320.942 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326320.944 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326320.944 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326320.944 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326320.944 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of -2 in n 1540326320.944 * [misc]backup-simplify: Simplify -2 into -2 1540326320.944 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540326320.944 * [misc]taylor: Taking taylor expansion of PI in n 1540326320.944 * [misc]backup-simplify: Simplify PI into PI 1540326320.944 * [misc]taylor: Taking taylor expansion of n in n 1540326320.944 * [misc]backup-simplify: Simplify 0 into 0 1540326320.944 * [misc]backup-simplify: Simplify 1 into 1 1540326320.944 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540326320.944 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540326320.945 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540326320.945 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326320.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326320.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326320.945 * [misc]taylor: Taking taylor expansion of k in n 1540326320.945 * [misc]backup-simplify: Simplify k into k 1540326320.945 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326320.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326320.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326320.945 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540326320.945 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326320.946 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326320.946 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540326320.946 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1540326320.947 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540326320.948 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1540326320.948 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1540326320.950 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1540326320.950 * * * [misc]progress: simplifying candidates 1540326320.950 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1540326320.950 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540326320.951 * * [misc]simplify: iters left: 6 (11 enodes) 1540326320.954 * * [misc]simplify: iters left: 5 (21 enodes) 1540326320.960 * * [misc]simplify: iters left: 4 (47 enodes) 1540326320.974 * * [misc]simplify: iters left: 3 (109 enodes) 1540326321.037 * * [misc]simplify: iters left: 2 (300 enodes) 1540326321.335 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540326321.335 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1540326321.335 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1540326321.335 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1540326321.336 * [enter]simplify: Simplifying (* PI (* n 2)) 1540326321.336 * * [misc]simplify: iters left: 4 (5 enodes) 1540326321.339 * * [misc]simplify: iters left: 3 (9 enodes) 1540326321.343 * * [misc]simplify: iters left: 2 (15 enodes) 1540326321.349 * * [misc]simplify: iters left: 1 (17 enodes) 1540326321.354 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540326321.354 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1540326321.354 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1540326321.355 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540326321.355 * * [misc]simplify: iters left: 5 (8 enodes) 1540326321.359 * * [misc]simplify: iters left: 4 (12 enodes) 1540326321.364 * * [misc]simplify: iters left: 3 (18 enodes) 1540326321.370 * * [misc]simplify: iters left: 2 (20 enodes) 1540326321.377 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540326321.377 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1540326321.377 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1540326321.377 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326321.378 * * [misc]simplify: iters left: 5 (6 enodes) 1540326321.380 * * [misc]simplify: iters left: 4 (8 enodes) 1540326321.383 * * [misc]simplify: iters left: 3 (11 enodes) 1540326321.386 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326321.387 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1540326321.387 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1540326321.387 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326321.387 * * [misc]simplify: iters left: 5 (6 enodes) 1540326321.390 * * [misc]simplify: iters left: 4 (8 enodes) 1540326321.393 * * [misc]simplify: iters left: 3 (11 enodes) 1540326321.397 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326321.397 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1540326321.397 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1540326321.397 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326321.398 * * [misc]simplify: iters left: 4 (5 enodes) 1540326321.400 * * [misc]simplify: iters left: 3 (7 enodes) 1540326321.403 * * [misc]simplify: iters left: 2 (10 enodes) 1540326321.406 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326321.406 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1540326321.406 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1540326321.406 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540326321.407 * * [misc]simplify: iters left: 5 (9 enodes) 1540326321.411 * * [misc]simplify: iters left: 4 (15 enodes) 1540326321.417 * * [misc]simplify: iters left: 3 (21 enodes) 1540326321.426 * * [misc]simplify: iters left: 2 (22 enodes) 1540326321.433 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540326321.433 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540326321.433 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1540326321.433 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540326321.434 * * [misc]simplify: iters left: 5 (9 enodes) 1540326321.438 * * [misc]simplify: iters left: 4 (15 enodes) 1540326321.444 * * [misc]simplify: iters left: 3 (21 enodes) 1540326321.452 * * [misc]simplify: iters left: 2 (22 enodes) 1540326321.459 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540326321.459 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540326321.459 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1540326321.459 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540326321.460 * * [misc]simplify: iters left: 5 (7 enodes) 1540326321.463 * * [misc]simplify: iters left: 4 (9 enodes) 1540326321.466 * * [misc]simplify: iters left: 3 (12 enodes) 1540326321.470 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540326321.470 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326321.470 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1540326321.470 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1540326321.470 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1540326321.471 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1540326321.472 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1540326321.473 * * [misc]simplify: iters left: 6 (14 enodes) 1540326321.477 * * [misc]simplify: iters left: 5 (26 enodes) 1540326321.485 * * [misc]simplify: iters left: 4 (59 enodes) 1540326321.516 * * [misc]simplify: iters left: 3 (164 enodes) 1540326321.622 * * [misc]simplify: iters left: 2 (488 enodes) 1540326322.200 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1540326322.200 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1540326322.200 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1540326322.200 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1540326322.201 * * [misc]simplify: iters left: 6 (14 enodes) 1540326322.205 * * [misc]simplify: iters left: 5 (26 enodes) 1540326322.212 * * [misc]simplify: iters left: 4 (59 enodes) 1540326322.233 * * [misc]simplify: iters left: 3 (164 enodes) 1540326322.332 * * [misc]simplify: iters left: 2 (488 enodes) 1540326322.867 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1540326322.867 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1540326322.867 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1540326322.867 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326322.868 * * [misc]simplify: iters left: 6 (14 enodes) 1540326322.873 * * [misc]simplify: iters left: 5 (24 enodes) 1540326322.879 * * [misc]simplify: iters left: 4 (46 enodes) 1540326322.893 * * [misc]simplify: iters left: 3 (103 enodes) 1540326322.940 * * [misc]simplify: iters left: 2 (336 enodes) 1540326323.371 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1540326323.371 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1540326323.371 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1540326323.371 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1540326323.372 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1540326323.372 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326323.373 * * [misc]simplify: iters left: 6 (16 enodes) 1540326323.378 * * [misc]simplify: iters left: 5 (31 enodes) 1540326323.387 * * [misc]simplify: iters left: 4 (70 enodes) 1540326323.422 * * [misc]simplify: iters left: 3 (130 enodes) 1540326323.480 * * [misc]simplify: iters left: 2 (206 enodes) 1540326323.596 * * [misc]simplify: iters left: 1 (288 enodes) 1540326323.719 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1540326323.719 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1540326323.719 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1540326323.719 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1540326323.719 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1540326323.719 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1540326323.719 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1540326323.719 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1540326323.720 * * [misc]simplify: iters left: 6 (12 enodes) 1540326323.723 * * [misc]simplify: iters left: 5 (19 enodes) 1540326323.727 * * [misc]simplify: iters left: 4 (27 enodes) 1540326323.731 * * [misc]simplify: iters left: 3 (29 enodes) 1540326323.736 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1540326323.736 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540326323.736 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326323.737 * * [misc]simplify: iters left: 6 (12 enodes) 1540326323.739 * * [misc]simplify: iters left: 5 (18 enodes) 1540326323.743 * * [misc]simplify: iters left: 4 (24 enodes) 1540326323.747 * * [misc]simplify: iters left: 3 (25 enodes) 1540326323.753 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326323.753 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540326323.753 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1540326323.753 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1540326323.754 * * [misc]simplify: iters left: 6 (12 enodes) 1540326323.756 * * [misc]simplify: iters left: 5 (19 enodes) 1540326323.760 * * [misc]simplify: iters left: 4 (27 enodes) 1540326323.764 * * [misc]simplify: iters left: 3 (29 enodes) 1540326323.769 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1540326323.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540326323.769 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326323.770 * * [misc]simplify: iters left: 6 (12 enodes) 1540326323.773 * * [misc]simplify: iters left: 5 (18 enodes) 1540326323.777 * * [misc]simplify: iters left: 4 (24 enodes) 1540326323.785 * * [misc]simplify: iters left: 3 (25 enodes) 1540326323.793 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326323.793 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540326323.793 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1540326323.794 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1540326323.795 * * [misc]simplify: iters left: 6 (11 enodes) 1540326323.797 * * [misc]simplify: iters left: 5 (15 enodes) 1540326323.800 * * [misc]simplify: iters left: 4 (20 enodes) 1540326323.803 * * [misc]simplify: iters left: 3 (21 enodes) 1540326323.807 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1540326323.807 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326323.807 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326323.808 * * [misc]simplify: iters left: 6 (11 enodes) 1540326323.810 * * [misc]simplify: iters left: 5 (14 enodes) 1540326323.812 * * [misc]simplify: iters left: 4 (17 enodes) 1540326323.815 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326323.815 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326323.815 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1540326323.816 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540326323.817 * * [misc]simplify: iters left: 6 (16 enodes) 1540326323.821 * * [misc]simplify: iters left: 5 (28 enodes) 1540326323.829 * * [misc]simplify: iters left: 4 (46 enodes) 1540326323.836 * * [misc]simplify: iters left: 3 (50 enodes) 1540326323.843 * * [misc]simplify: iters left: 2 (53 enodes) 1540326323.852 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540326323.853 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540326323.853 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326323.853 * * [misc]simplify: iters left: 6 (14 enodes) 1540326323.856 * * [misc]simplify: iters left: 5 (20 enodes) 1540326323.860 * * [misc]simplify: iters left: 4 (29 enodes) 1540326323.865 * * [misc]simplify: iters left: 3 (30 enodes) 1540326323.872 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326323.872 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540326323.872 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1540326323.872 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326323.873 * * [misc]simplify: iters left: 6 (15 enodes) 1540326323.880 * * [misc]simplify: iters left: 5 (23 enodes) 1540326323.889 * * [misc]simplify: iters left: 4 (34 enodes) 1540326323.899 * * [misc]simplify: iters left: 3 (36 enodes) 1540326323.910 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326323.910 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540326323.911 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326323.912 * * [misc]simplify: iters left: 6 (14 enodes) 1540326323.914 * * [misc]simplify: iters left: 5 (20 enodes) 1540326323.919 * * [misc]simplify: iters left: 4 (29 enodes) 1540326323.923 * * [misc]simplify: iters left: 3 (30 enodes) 1540326323.928 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326323.928 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540326323.928 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1540326323.928 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540326323.929 * * [misc]simplify: iters left: 6 (6 enodes) 1540326323.930 * * [misc]simplify: iters left: 5 (10 enodes) 1540326323.933 * * [misc]simplify: iters left: 4 (16 enodes) 1540326323.935 * * [misc]simplify: iters left: 3 (18 enodes) 1540326323.937 * * [misc]simplify: iters left: 2 (23 enodes) 1540326323.940 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326323.940 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540326323.940 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326323.941 * * [misc]simplify: iters left: 6 (13 enodes) 1540326323.944 * * [misc]simplify: iters left: 5 (19 enodes) 1540326323.951 * * [misc]simplify: iters left: 4 (28 enodes) 1540326323.960 * * [misc]simplify: iters left: 3 (30 enodes) 1540326323.969 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540326323.970 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540326323.970 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1540326323.970 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1540326323.971 * * [misc]simplify: iters left: 6 (11 enodes) 1540326323.975 * * [misc]simplify: iters left: 5 (16 enodes) 1540326323.982 * * [misc]simplify: iters left: 4 (22 enodes) 1540326323.989 * * [misc]simplify: iters left: 3 (23 enodes) 1540326323.997 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1540326323.997 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540326323.997 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326323.998 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.001 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.006 * * [misc]simplify: iters left: 4 (24 enodes) 1540326324.010 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.014 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326324.014 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540326324.015 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1540326324.015 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1540326324.015 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.018 * * [misc]simplify: iters left: 5 (16 enodes) 1540326324.021 * * [misc]simplify: iters left: 4 (22 enodes) 1540326324.024 * * [misc]simplify: iters left: 3 (23 enodes) 1540326324.028 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1540326324.029 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540326324.029 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.031 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.035 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.042 * * [misc]simplify: iters left: 4 (24 enodes) 1540326324.047 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.051 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326324.051 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540326324.051 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1540326324.052 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540326324.052 * * [misc]simplify: iters left: 6 (10 enodes) 1540326324.054 * * [misc]simplify: iters left: 5 (12 enodes) 1540326324.056 * * [misc]simplify: iters left: 4 (15 enodes) 1540326324.059 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540326324.059 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326324.059 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.060 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.062 * * [misc]simplify: iters left: 5 (14 enodes) 1540326324.064 * * [misc]simplify: iters left: 4 (17 enodes) 1540326324.067 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.067 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326324.067 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1540326324.068 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540326324.068 * * [misc]simplify: iters left: 6 (15 enodes) 1540326324.072 * * [misc]simplify: iters left: 5 (23 enodes) 1540326324.076 * * [misc]simplify: iters left: 4 (32 enodes) 1540326324.083 * * [misc]simplify: iters left: 3 (34 enodes) 1540326324.089 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540326324.089 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540326324.089 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.090 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.093 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.097 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.101 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.106 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.106 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540326324.106 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1540326324.106 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.107 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.110 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.114 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.118 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.128 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.128 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540326324.128 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.129 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.135 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.143 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.152 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.163 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.163 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540326324.163 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1540326324.163 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540326324.164 * * [misc]simplify: iters left: 4 (5 enodes) 1540326324.165 * * [misc]simplify: iters left: 3 (7 enodes) 1540326324.168 * * [misc]simplify: iters left: 2 (9 enodes) 1540326324.170 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326324.170 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540326324.171 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.172 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.179 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.187 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.194 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.199 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540326324.200 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540326324.200 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1540326324.200 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1540326324.200 * * [misc]simplify: iters left: 6 (9 enodes) 1540326324.203 * * [misc]simplify: iters left: 5 (16 enodes) 1540326324.206 * * [misc]simplify: iters left: 4 (22 enodes) 1540326324.209 * * [misc]simplify: iters left: 3 (23 enodes) 1540326324.213 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1540326324.213 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540326324.213 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.213 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.216 * * [misc]simplify: iters left: 5 (17 enodes) 1540326324.220 * * [misc]simplify: iters left: 4 (23 enodes) 1540326324.224 * * [misc]simplify: iters left: 3 (24 enodes) 1540326324.228 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540326324.228 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1540326324.228 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1540326324.228 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1540326324.228 * * [misc]simplify: iters left: 6 (9 enodes) 1540326324.230 * * [misc]simplify: iters left: 5 (16 enodes) 1540326324.233 * * [misc]simplify: iters left: 4 (22 enodes) 1540326324.238 * * [misc]simplify: iters left: 3 (23 enodes) 1540326324.245 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1540326324.245 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540326324.245 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.246 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.251 * * [misc]simplify: iters left: 5 (17 enodes) 1540326324.257 * * [misc]simplify: iters left: 4 (23 enodes) 1540326324.260 * * [misc]simplify: iters left: 3 (24 enodes) 1540326324.266 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540326324.266 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1540326324.266 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1540326324.266 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1540326324.266 * * [misc]simplify: iters left: 6 (9 enodes) 1540326324.268 * * [misc]simplify: iters left: 5 (13 enodes) 1540326324.271 * * [misc]simplify: iters left: 4 (16 enodes) 1540326324.273 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1540326324.273 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326324.273 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.274 * * [misc]simplify: iters left: 6 (10 enodes) 1540326324.276 * * [misc]simplify: iters left: 5 (13 enodes) 1540326324.278 * * [misc]simplify: iters left: 4 (16 enodes) 1540326324.281 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.281 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326324.281 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1540326324.281 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540326324.282 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.286 * * [misc]simplify: iters left: 5 (24 enodes) 1540326324.295 * * [misc]simplify: iters left: 4 (33 enodes) 1540326324.306 * * [misc]simplify: iters left: 3 (34 enodes) 1540326324.318 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1540326324.318 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540326324.318 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.319 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.325 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.330 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.334 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.339 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540326324.339 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1540326324.339 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1540326324.339 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.340 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.343 * * [misc]simplify: iters left: 5 (21 enodes) 1540326324.347 * * [misc]simplify: iters left: 4 (30 enodes) 1540326324.351 * * [misc]simplify: iters left: 3 (31 enodes) 1540326324.359 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1540326324.359 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540326324.359 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.360 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.363 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.367 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.371 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.376 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540326324.376 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1540326324.376 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1540326324.376 * [enter]simplify: Simplifying (/ 1 1) 1540326324.376 * * [misc]simplify: iters left: 2 (2 enodes) 1540326324.377 * * [misc]simplify: iters left: 1 (4 enodes) 1540326324.377 * [exit]simplify: Simplified to 1 1540326324.377 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540326324.378 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.378 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.381 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.385 * * [misc]simplify: iters left: 4 (27 enodes) 1540326324.391 * * [misc]simplify: iters left: 3 (29 enodes) 1540326324.401 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.401 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540326324.401 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1540326324.401 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1540326324.401 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1540326324.401 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1540326324.401 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540326324.402 * * [misc]simplify: iters left: 5 (9 enodes) 1540326324.406 * * [misc]simplify: iters left: 4 (15 enodes) 1540326324.412 * * [misc]simplify: iters left: 3 (21 enodes) 1540326324.420 * * [misc]simplify: iters left: 2 (22 enodes) 1540326324.427 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540326324.428 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540326324.428 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1540326324.428 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540326324.429 * * [misc]simplify: iters left: 5 (9 enodes) 1540326324.433 * * [misc]simplify: iters left: 4 (15 enodes) 1540326324.439 * * [misc]simplify: iters left: 3 (21 enodes) 1540326324.444 * * [misc]simplify: iters left: 2 (22 enodes) 1540326324.448 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540326324.448 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540326324.448 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1540326324.448 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540326324.449 * * [misc]simplify: iters left: 5 (8 enodes) 1540326324.451 * * [misc]simplify: iters left: 4 (11 enodes) 1540326324.453 * * [misc]simplify: iters left: 3 (14 enodes) 1540326324.455 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540326324.455 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326324.455 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1540326324.456 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.456 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.458 * * [misc]simplify: iters left: 5 (17 enodes) 1540326324.462 * * [misc]simplify: iters left: 4 (26 enodes) 1540326324.466 * * [misc]simplify: iters left: 3 (27 enodes) 1540326324.470 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540326324.470 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540326324.470 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1540326324.471 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.471 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.476 * * [misc]simplify: iters left: 5 (17 enodes) 1540326324.483 * * [misc]simplify: iters left: 4 (26 enodes) 1540326324.490 * * [misc]simplify: iters left: 3 (27 enodes) 1540326324.499 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540326324.499 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540326324.499 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1540326324.499 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1540326324.500 * * [misc]simplify: iters left: 5 (10 enodes) 1540326324.504 * * [misc]simplify: iters left: 4 (16 enodes) 1540326324.509 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.513 * * [misc]simplify: iters left: 2 (26 enodes) 1540326324.517 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1540326324.517 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1540326324.517 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1540326324.518 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326324.518 * * [misc]simplify: iters left: 4 (4 enodes) 1540326324.519 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326324.519 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326324.519 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1540326324.519 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540326324.519 * * [misc]simplify: iters left: 2 (3 enodes) 1540326324.520 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326324.520 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326324.520 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1540326324.520 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1540326324.520 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540326324.520 * * [misc]simplify: iters left: 5 (8 enodes) 1540326324.522 * * [misc]simplify: iters left: 4 (12 enodes) 1540326324.525 * * [misc]simplify: iters left: 3 (18 enodes) 1540326324.528 * * [misc]simplify: iters left: 2 (20 enodes) 1540326324.531 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540326324.531 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1540326324.531 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1540326324.531 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1540326324.531 * [enter]simplify: Simplifying (- 1) 1540326324.531 * * [misc]simplify: iters left: 2 (2 enodes) 1540326324.532 * * [misc]simplify: iters left: 1 (5 enodes) 1540326324.533 * [exit]simplify: Simplified to -1 1540326324.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1540326324.533 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1540326324.533 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1540326324.534 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1540326324.534 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1540326324.534 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.536 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.541 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.549 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.554 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.559 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540326324.559 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540326324.559 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1540326324.559 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.560 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.563 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.567 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.571 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.576 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540326324.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540326324.576 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1540326324.576 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.577 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.579 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.583 * * [misc]simplify: iters left: 4 (24 enodes) 1540326324.586 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.591 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326324.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540326324.591 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1540326324.591 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.592 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.595 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.598 * * [misc]simplify: iters left: 4 (24 enodes) 1540326324.602 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.606 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326324.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540326324.606 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1540326324.607 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.608 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.610 * * [misc]simplify: iters left: 5 (14 enodes) 1540326324.614 * * [misc]simplify: iters left: 4 (17 enodes) 1540326324.621 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326324.621 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1540326324.621 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.623 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.629 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.636 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.641 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.646 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540326324.646 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1540326324.646 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.647 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.650 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.654 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.658 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.663 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540326324.664 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1540326324.664 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.665 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.670 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.678 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.687 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.697 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540326324.697 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1540326324.698 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1540326324.698 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.699 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.704 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.708 * * [misc]simplify: iters left: 4 (24 enodes) 1540326324.712 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.717 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326324.717 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540326324.717 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1540326324.717 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.718 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.720 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.723 * * [misc]simplify: iters left: 4 (24 enodes) 1540326324.727 * * [misc]simplify: iters left: 3 (25 enodes) 1540326324.732 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540326324.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540326324.732 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1540326324.732 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.733 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.737 * * [misc]simplify: iters left: 5 (14 enodes) 1540326324.742 * * [misc]simplify: iters left: 4 (17 enodes) 1540326324.748 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326324.748 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1540326324.748 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.750 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.755 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.763 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.772 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.777 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540326324.777 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1540326324.777 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.778 * * [misc]simplify: iters left: 6 (14 enodes) 1540326324.781 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.785 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.789 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.795 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540326324.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540326324.795 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1540326324.795 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.796 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.799 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.805 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.814 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.825 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540326324.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1540326324.825 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1540326324.825 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.826 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.832 * * [misc]simplify: iters left: 5 (17 enodes) 1540326324.839 * * [misc]simplify: iters left: 4 (23 enodes) 1540326324.846 * * [misc]simplify: iters left: 3 (24 enodes) 1540326324.854 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540326324.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540326324.854 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1540326324.854 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540326324.855 * * [misc]simplify: iters left: 6 (11 enodes) 1540326324.860 * * [misc]simplify: iters left: 5 (17 enodes) 1540326324.867 * * [misc]simplify: iters left: 4 (23 enodes) 1540326324.874 * * [misc]simplify: iters left: 3 (24 enodes) 1540326324.879 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540326324.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540326324.879 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1540326324.879 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.879 * * [misc]simplify: iters left: 6 (10 enodes) 1540326324.881 * * [misc]simplify: iters left: 5 (13 enodes) 1540326324.883 * * [misc]simplify: iters left: 4 (16 enodes) 1540326324.886 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326324.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326324.886 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1540326324.886 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.887 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.890 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.894 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.899 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.905 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540326324.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540326324.905 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1540326324.905 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540326324.906 * * [misc]simplify: iters left: 6 (13 enodes) 1540326324.912 * * [misc]simplify: iters left: 5 (19 enodes) 1540326324.919 * * [misc]simplify: iters left: 4 (28 enodes) 1540326324.928 * * [misc]simplify: iters left: 3 (30 enodes) 1540326324.937 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540326324.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540326324.937 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1540326324.937 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.938 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.940 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.944 * * [misc]simplify: iters left: 4 (27 enodes) 1540326324.948 * * [misc]simplify: iters left: 3 (29 enodes) 1540326324.953 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540326324.953 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1540326324.953 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.954 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.956 * * [misc]simplify: iters left: 5 (18 enodes) 1540326324.960 * * [misc]simplify: iters left: 4 (27 enodes) 1540326324.964 * * [misc]simplify: iters left: 3 (29 enodes) 1540326324.973 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540326324.973 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1540326324.974 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540326324.975 * * [misc]simplify: iters left: 6 (12 enodes) 1540326324.980 * * [misc]simplify: iters left: 5 (20 enodes) 1540326324.987 * * [misc]simplify: iters left: 4 (29 enodes) 1540326324.997 * * [misc]simplify: iters left: 3 (30 enodes) 1540326325.006 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1540326325.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1540326325.006 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1540326325.006 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540326325.007 * * [misc]simplify: iters left: 5 (8 enodes) 1540326325.011 * * [misc]simplify: iters left: 4 (12 enodes) 1540326325.016 * * [misc]simplify: iters left: 3 (18 enodes) 1540326325.022 * * [misc]simplify: iters left: 2 (20 enodes) 1540326325.029 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540326325.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1540326325.029 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1540326325.030 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1540326325.031 * * [misc]simplify: iters left: 5 (10 enodes) 1540326325.035 * * [misc]simplify: iters left: 4 (16 enodes) 1540326325.042 * * [misc]simplify: iters left: 3 (25 enodes) 1540326325.050 * * [misc]simplify: iters left: 2 (26 enodes) 1540326325.059 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1540326325.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540326325.059 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1540326325.059 * [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))))) 1540326325.063 * * [misc]simplify: iters left: 6 (37 enodes) 1540326325.080 * * [misc]simplify: iters left: 5 (105 enodes) 1540326325.128 * * [misc]simplify: iters left: 4 (339 enodes) 1540326325.740 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1540326325.740 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))))) 1540326325.741 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1540326325.741 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540326325.742 * * [misc]simplify: iters left: 6 (15 enodes) 1540326325.747 * * [misc]simplify: iters left: 5 (33 enodes) 1540326325.755 * * [misc]simplify: iters left: 4 (64 enodes) 1540326325.776 * * [misc]simplify: iters left: 3 (171 enodes) 1540326325.956 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1540326325.956 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1540326325.956 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1540326325.956 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540326325.958 * * [misc]simplify: iters left: 6 (15 enodes) 1540326325.966 * * [misc]simplify: iters left: 5 (30 enodes) 1540326325.983 * * [misc]simplify: iters left: 4 (65 enodes) 1540326326.022 * * [misc]simplify: iters left: 3 (200 enodes) 1540326326.265 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1540326326.265 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1540326326.265 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1540326326.265 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540326326.266 * * [misc]simplify: iters left: 4 (5 enodes) 1540326326.267 * * [misc]simplify: iters left: 3 (9 enodes) 1540326326.269 * * [misc]simplify: iters left: 2 (15 enodes) 1540326326.272 * * [misc]simplify: iters left: 1 (17 enodes) 1540326326.274 * [exit]simplify: Simplified to (* (* PI n) 2) 1540326326.274 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540326326.274 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1540326326.274 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540326326.275 * * [misc]simplify: iters left: 4 (5 enodes) 1540326326.277 * * [misc]simplify: iters left: 3 (9 enodes) 1540326326.281 * * [misc]simplify: iters left: 2 (15 enodes) 1540326326.286 * * [misc]simplify: iters left: 1 (17 enodes) 1540326326.291 * [exit]simplify: Simplified to (* (* PI n) 2) 1540326326.291 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540326326.291 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1540326326.291 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540326326.292 * * [misc]simplify: iters left: 4 (5 enodes) 1540326326.293 * * [misc]simplify: iters left: 3 (9 enodes) 1540326326.295 * * [misc]simplify: iters left: 2 (15 enodes) 1540326326.298 * * [misc]simplify: iters left: 1 (17 enodes) 1540326326.300 * [exit]simplify: Simplified to (* (* PI n) 2) 1540326326.300 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540326326.300 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1540326326.300 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1540326326.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1540326326.300 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1540326326.301 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1540326326.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1540326326.301 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1540326326.301 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1540326326.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1540326326.301 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1540326326.301 * [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))))))))))))) 1540326326.301 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326326.301 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1540326326.301 * [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)))))))) 1540326326.301 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326326.301 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1540326326.301 * [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))))))))))) 1540326326.301 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326326.301 * * * [misc]progress: adding candidates to table 1540326328.980 * * [misc]progress: iteration 3 / 4 1540326328.980 * * * [misc]progress: picking best candidate 1540326329.078 * * * * [misc]pick: Picked # 1540326329.078 * * * [misc]progress: localizing error 1540326329.102 * * * [misc]progress: generating rewritten candidates 1540326329.102 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1540326329.122 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1540326329.131 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540326329.232 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1540326329.293 * * * [misc]progress: generating series expansions 1540326329.293 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1540326329.293 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1540326329.293 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1540326329.293 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326329.293 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326329.293 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326329.293 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.293 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.293 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.293 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.294 * [misc]taylor: Taking taylor expansion of k in k 1540326329.294 * [misc]backup-simplify: Simplify 0 into 0 1540326329.294 * [misc]backup-simplify: Simplify 1 into 1 1540326329.294 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326329.294 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326329.294 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.294 * [misc]backup-simplify: Simplify 2 into 2 1540326329.294 * [misc]taylor: Taking taylor expansion of n in k 1540326329.294 * [misc]backup-simplify: Simplify n into n 1540326329.294 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326329.294 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326329.294 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.294 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.295 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.295 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326329.295 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326329.295 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.295 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.295 * [misc]taylor: Taking taylor expansion of k in n 1540326329.295 * [misc]backup-simplify: Simplify k into k 1540326329.295 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.295 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.295 * [misc]backup-simplify: Simplify 2 into 2 1540326329.295 * [misc]taylor: Taking taylor expansion of n in n 1540326329.295 * [misc]backup-simplify: Simplify 0 into 0 1540326329.295 * [misc]backup-simplify: Simplify 1 into 1 1540326329.295 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.296 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.296 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.296 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326329.296 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326329.296 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326329.297 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.297 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326329.297 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326329.297 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326329.297 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326329.297 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326329.297 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326329.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.297 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326329.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.297 * [misc]taylor: Taking taylor expansion of k in n 1540326329.297 * [misc]backup-simplify: Simplify k into k 1540326329.298 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.298 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.298 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.298 * [misc]backup-simplify: Simplify 2 into 2 1540326329.298 * [misc]taylor: Taking taylor expansion of n in n 1540326329.298 * [misc]backup-simplify: Simplify 0 into 0 1540326329.298 * [misc]backup-simplify: Simplify 1 into 1 1540326329.298 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.298 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.298 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.298 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326329.298 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326329.298 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326329.299 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.299 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326329.299 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326329.299 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.300 * [misc]backup-simplify: Simplify 2 into 2 1540326329.300 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.300 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of n in k 1540326329.300 * [misc]backup-simplify: Simplify n into n 1540326329.300 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326329.300 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.300 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.300 * [misc]taylor: Taking taylor expansion of k in k 1540326329.300 * [misc]backup-simplify: Simplify 0 into 0 1540326329.300 * [misc]backup-simplify: Simplify 1 into 1 1540326329.300 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1540326329.301 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.301 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.301 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.301 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1540326329.301 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540326329.302 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540326329.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.304 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.305 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540326329.305 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.305 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.305 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.306 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1540326329.307 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.307 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.307 * [misc]backup-simplify: Simplify 0 into 0 1540326329.307 * [misc]backup-simplify: Simplify 0 into 0 1540326329.307 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326329.307 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.308 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.310 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540326329.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.312 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1540326329.313 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1540326329.313 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1540326329.314 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540326329.318 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540326329.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540326329.318 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.319 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.319 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.319 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1540326329.321 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326329.322 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.322 * [misc]backup-simplify: Simplify 0 into 0 1540326329.322 * [misc]backup-simplify: Simplify 0 into 0 1540326329.322 * [misc]backup-simplify: Simplify 0 into 0 1540326329.322 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.322 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.327 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540326329.328 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540326329.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.329 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540326329.332 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1540326329.335 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1540326329.340 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1540326329.340 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.340 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540326329.340 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of k in k 1540326329.341 * [misc]backup-simplify: Simplify 0 into 0 1540326329.341 * [misc]backup-simplify: Simplify 1 into 1 1540326329.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.341 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326329.341 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.341 * [misc]backup-simplify: Simplify 2 into 2 1540326329.342 * [misc]taylor: Taking taylor expansion of n in k 1540326329.342 * [misc]backup-simplify: Simplify n into n 1540326329.342 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326329.342 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326329.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.342 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326329.342 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.343 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.343 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.343 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of k in n 1540326329.343 * [misc]backup-simplify: Simplify k into k 1540326329.343 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.343 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.343 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.343 * [misc]backup-simplify: Simplify 2 into 2 1540326329.343 * [misc]taylor: Taking taylor expansion of n in n 1540326329.343 * [misc]backup-simplify: Simplify 0 into 0 1540326329.343 * [misc]backup-simplify: Simplify 1 into 1 1540326329.343 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.343 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.344 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.344 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.344 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.344 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.344 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.345 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.345 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of k in n 1540326329.345 * [misc]backup-simplify: Simplify k into k 1540326329.345 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.345 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.345 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.345 * [misc]backup-simplify: Simplify 2 into 2 1540326329.345 * [misc]taylor: Taking taylor expansion of n in n 1540326329.345 * [misc]backup-simplify: Simplify 0 into 0 1540326329.345 * [misc]backup-simplify: Simplify 1 into 1 1540326329.346 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.346 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.346 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.346 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.346 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.346 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.347 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.347 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.347 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1540326329.347 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1540326329.347 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.347 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.347 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.348 * [misc]taylor: Taking taylor expansion of k in k 1540326329.348 * [misc]backup-simplify: Simplify 0 into 0 1540326329.348 * [misc]backup-simplify: Simplify 1 into 1 1540326329.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.348 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1540326329.348 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540326329.348 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.348 * [misc]backup-simplify: Simplify 2 into 2 1540326329.348 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.348 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326329.348 * [misc]taylor: Taking taylor expansion of n in k 1540326329.348 * [misc]backup-simplify: Simplify n into n 1540326329.348 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326329.348 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.349 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.349 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.349 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326329.349 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1540326329.349 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1540326329.350 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.350 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.350 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540326329.353 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.353 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.353 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.354 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.354 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540326329.356 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.356 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.356 * [misc]backup-simplify: Simplify 0 into 0 1540326329.356 * [misc]backup-simplify: Simplify 0 into 0 1540326329.356 * [misc]backup-simplify: Simplify 0 into 0 1540326329.356 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.361 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540326329.361 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326329.361 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326329.362 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.362 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.363 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1540326329.365 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326329.365 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.365 * [misc]backup-simplify: Simplify 0 into 0 1540326329.365 * [misc]backup-simplify: Simplify 0 into 0 1540326329.365 * [misc]backup-simplify: Simplify 0 into 0 1540326329.365 * [misc]backup-simplify: Simplify 0 into 0 1540326329.366 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.373 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540326329.373 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326329.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326329.374 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.374 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.375 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1540326329.378 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540326329.378 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.379 * [misc]backup-simplify: Simplify 0 into 0 1540326329.379 * [misc]backup-simplify: Simplify 0 into 0 1540326329.379 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540326329.379 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.379 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540326329.379 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.379 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326329.379 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326329.379 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.379 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.380 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.380 * [misc]taylor: Taking taylor expansion of k in k 1540326329.380 * [misc]backup-simplify: Simplify 0 into 0 1540326329.380 * [misc]backup-simplify: Simplify 1 into 1 1540326329.380 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.380 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.380 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.380 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326329.380 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326329.380 * [misc]taylor: Taking taylor expansion of -2 in k 1540326329.380 * [misc]backup-simplify: Simplify -2 into -2 1540326329.380 * [misc]taylor: Taking taylor expansion of n in k 1540326329.380 * [misc]backup-simplify: Simplify n into n 1540326329.380 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326329.380 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326329.380 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.380 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.381 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326329.381 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.381 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of k in n 1540326329.381 * [misc]backup-simplify: Simplify k into k 1540326329.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.381 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326329.381 * [misc]taylor: Taking taylor expansion of -2 in n 1540326329.381 * [misc]backup-simplify: Simplify -2 into -2 1540326329.381 * [misc]taylor: Taking taylor expansion of n in n 1540326329.381 * [misc]backup-simplify: Simplify 0 into 0 1540326329.381 * [misc]backup-simplify: Simplify 1 into 1 1540326329.382 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326329.382 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.382 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.383 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326329.383 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.383 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of k in n 1540326329.383 * [misc]backup-simplify: Simplify k into k 1540326329.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.383 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326329.383 * [misc]taylor: Taking taylor expansion of -2 in n 1540326329.384 * [misc]backup-simplify: Simplify -2 into -2 1540326329.384 * [misc]taylor: Taking taylor expansion of n in n 1540326329.384 * [misc]backup-simplify: Simplify 0 into 0 1540326329.384 * [misc]backup-simplify: Simplify 1 into 1 1540326329.384 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326329.384 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.384 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.384 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.384 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.385 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326329.385 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.385 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1540326329.385 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1540326329.385 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.386 * [misc]taylor: Taking taylor expansion of k in k 1540326329.386 * [misc]backup-simplify: Simplify 0 into 0 1540326329.386 * [misc]backup-simplify: Simplify 1 into 1 1540326329.386 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.386 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1540326329.386 * [misc]taylor: Taking taylor expansion of (log -2) in k 1540326329.386 * [misc]taylor: Taking taylor expansion of -2 in k 1540326329.386 * [misc]backup-simplify: Simplify -2 into -2 1540326329.386 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.386 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326329.386 * [misc]taylor: Taking taylor expansion of n in k 1540326329.386 * [misc]backup-simplify: Simplify n into n 1540326329.386 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326329.386 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.387 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.387 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326329.387 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1540326329.387 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1540326329.387 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.388 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.388 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540326329.391 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540326329.391 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.391 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.392 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540326329.393 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.393 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.393 * [misc]backup-simplify: Simplify 0 into 0 1540326329.393 * [misc]backup-simplify: Simplify 0 into 0 1540326329.393 * [misc]backup-simplify: Simplify 0 into 0 1540326329.394 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.403 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1540326329.403 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326329.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326329.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.405 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1540326329.407 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326329.407 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.407 * [misc]backup-simplify: Simplify 0 into 0 1540326329.407 * [misc]backup-simplify: Simplify 0 into 0 1540326329.408 * [misc]backup-simplify: Simplify 0 into 0 1540326329.408 * [misc]backup-simplify: Simplify 0 into 0 1540326329.408 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.417 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1540326329.417 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326329.418 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326329.418 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.419 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1540326329.423 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540326329.423 * [misc]taylor: Taking taylor expansion of 0 in k 1540326329.423 * [misc]backup-simplify: Simplify 0 into 0 1540326329.423 * [misc]backup-simplify: Simplify 0 into 0 1540326329.423 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540326329.423 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1540326329.424 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540326329.424 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540326329.424 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326329.424 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326329.424 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326329.424 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.424 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.424 * [misc]taylor: Taking taylor expansion of k in k 1540326329.424 * [misc]backup-simplify: Simplify 0 into 0 1540326329.424 * [misc]backup-simplify: Simplify 1 into 1 1540326329.424 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.424 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.424 * [misc]backup-simplify: Simplify PI into PI 1540326329.425 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.425 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.425 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.426 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.427 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326329.427 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326329.427 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326329.427 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326329.427 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.427 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.427 * [misc]taylor: Taking taylor expansion of k in k 1540326329.427 * [misc]backup-simplify: Simplify 0 into 0 1540326329.427 * [misc]backup-simplify: Simplify 1 into 1 1540326329.427 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.427 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.427 * [misc]backup-simplify: Simplify PI into PI 1540326329.428 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.428 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.428 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.428 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.429 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.430 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326329.430 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540326329.433 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326329.433 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326329.434 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.434 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.435 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540326329.439 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326329.440 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326329.445 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540326329.445 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.445 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.445 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.447 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540326329.453 * [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))) 1540326329.455 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540326329.459 * [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)))) 1540326329.459 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.459 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540326329.459 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.459 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326329.459 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326329.459 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.460 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.460 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.460 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.460 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.460 * [misc]taylor: Taking taylor expansion of k in k 1540326329.460 * [misc]backup-simplify: Simplify 0 into 0 1540326329.460 * [misc]backup-simplify: Simplify 1 into 1 1540326329.460 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.460 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.460 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.460 * [misc]backup-simplify: Simplify PI into PI 1540326329.460 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.461 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.461 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.461 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.461 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326329.462 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.462 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.462 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.462 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of k in k 1540326329.462 * [misc]backup-simplify: Simplify 0 into 0 1540326329.462 * [misc]backup-simplify: Simplify 1 into 1 1540326329.462 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.462 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.462 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.463 * [misc]backup-simplify: Simplify PI into PI 1540326329.463 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.463 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.463 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.463 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.464 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326329.464 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.464 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.464 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540326329.465 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.465 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540326329.465 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.465 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326329.465 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326329.465 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.465 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.465 * [misc]taylor: Taking taylor expansion of k in k 1540326329.465 * [misc]backup-simplify: Simplify 0 into 0 1540326329.465 * [misc]backup-simplify: Simplify 1 into 1 1540326329.466 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.466 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.466 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.466 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.466 * [misc]backup-simplify: Simplify PI into PI 1540326329.466 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.466 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.467 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.467 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.467 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.468 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.468 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of k in k 1540326329.468 * [misc]backup-simplify: Simplify 0 into 0 1540326329.468 * [misc]backup-simplify: Simplify 1 into 1 1540326329.468 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.468 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.468 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.468 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.468 * [misc]backup-simplify: Simplify PI into PI 1540326329.468 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.469 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.469 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.469 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.470 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.470 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.470 * [misc]backup-simplify: Simplify 0 into 0 1540326329.470 * [misc]backup-simplify: Simplify 0 into 0 1540326329.470 * [misc]backup-simplify: Simplify 0 into 0 1540326329.470 * [misc]backup-simplify: Simplify 0 into 0 1540326329.470 * [misc]backup-simplify: Simplify 0 into 0 1540326329.470 * [misc]backup-simplify: Simplify 0 into 0 1540326329.470 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540326329.470 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540326329.471 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1540326329.471 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1540326329.471 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1540326329.471 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540326329.471 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326329.471 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326329.471 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326329.472 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326329.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.472 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326329.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.472 * [misc]taylor: Taking taylor expansion of k in n 1540326329.472 * [misc]backup-simplify: Simplify k into k 1540326329.472 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.472 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.472 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.472 * [misc]backup-simplify: Simplify 2 into 2 1540326329.472 * [misc]taylor: Taking taylor expansion of n in n 1540326329.472 * [misc]backup-simplify: Simplify 0 into 0 1540326329.472 * [misc]backup-simplify: Simplify 1 into 1 1540326329.472 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.472 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.472 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.473 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326329.473 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326329.473 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326329.473 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.473 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326329.474 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326329.474 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540326329.474 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540326329.474 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540326329.474 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326329.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.474 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326329.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.474 * [misc]taylor: Taking taylor expansion of k in n 1540326329.474 * [misc]backup-simplify: Simplify k into k 1540326329.474 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.474 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.474 * [misc]backup-simplify: Simplify PI into PI 1540326329.474 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.475 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326329.475 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326329.475 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326329.475 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540326329.475 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540326329.476 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326329.476 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.476 * [misc]taylor: Taking taylor expansion of k in n 1540326329.476 * [misc]backup-simplify: Simplify k into k 1540326329.476 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.476 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326329.476 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.476 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326329.476 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.476 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.476 * [misc]taylor: Taking taylor expansion of k in k 1540326329.476 * [misc]backup-simplify: Simplify 0 into 0 1540326329.476 * [misc]backup-simplify: Simplify 1 into 1 1540326329.476 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326329.476 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.476 * [misc]backup-simplify: Simplify 2 into 2 1540326329.477 * [misc]taylor: Taking taylor expansion of n in k 1540326329.477 * [misc]backup-simplify: Simplify n into n 1540326329.477 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326329.477 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326329.477 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.477 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.477 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.477 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326329.477 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326329.477 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326329.477 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326329.477 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326329.477 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.478 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.478 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.478 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.478 * [misc]taylor: Taking taylor expansion of k in k 1540326329.478 * [misc]backup-simplify: Simplify 0 into 0 1540326329.478 * [misc]backup-simplify: Simplify 1 into 1 1540326329.478 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.478 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.478 * [misc]backup-simplify: Simplify PI into PI 1540326329.478 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.478 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.478 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.479 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.479 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.480 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326329.480 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326329.480 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.480 * [misc]taylor: Taking taylor expansion of k in k 1540326329.480 * [misc]backup-simplify: Simplify 0 into 0 1540326329.480 * [misc]backup-simplify: Simplify 1 into 1 1540326329.480 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.480 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.481 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.481 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.481 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.481 * [misc]taylor: Taking taylor expansion of k in k 1540326329.481 * [misc]backup-simplify: Simplify 0 into 0 1540326329.481 * [misc]backup-simplify: Simplify 1 into 1 1540326329.481 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326329.481 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.481 * [misc]backup-simplify: Simplify 2 into 2 1540326329.481 * [misc]taylor: Taking taylor expansion of n in k 1540326329.481 * [misc]backup-simplify: Simplify n into n 1540326329.481 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326329.482 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326329.482 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.482 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.482 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.482 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326329.482 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326329.482 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326329.482 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326329.482 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326329.482 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.482 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.482 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.483 * [misc]taylor: Taking taylor expansion of k in k 1540326329.483 * [misc]backup-simplify: Simplify 0 into 0 1540326329.483 * [misc]backup-simplify: Simplify 1 into 1 1540326329.483 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.483 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.483 * [misc]backup-simplify: Simplify PI into PI 1540326329.483 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.483 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.483 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.483 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.484 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.485 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326329.485 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326329.485 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.485 * [misc]taylor: Taking taylor expansion of k in k 1540326329.485 * [misc]backup-simplify: Simplify 0 into 0 1540326329.485 * [misc]backup-simplify: Simplify 1 into 1 1540326329.485 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.485 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.486 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.486 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1540326329.487 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1540326329.487 * [misc]taylor: Taking taylor expansion of 0 in n 1540326329.487 * [misc]backup-simplify: Simplify 0 into 0 1540326329.487 * [misc]backup-simplify: Simplify 0 into 0 1540326329.490 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326329.490 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326329.490 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.490 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540326329.495 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326329.495 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540326329.496 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540326329.497 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326329.497 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.497 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.497 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540326329.498 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1540326329.500 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1540326329.502 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1540326329.502 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540326329.502 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540326329.502 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.502 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.502 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540326329.502 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.502 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.502 * [misc]backup-simplify: Simplify 2 into 2 1540326329.502 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.503 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.503 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326329.503 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326329.503 * [misc]taylor: Taking taylor expansion of n in n 1540326329.503 * [misc]backup-simplify: Simplify 0 into 0 1540326329.503 * [misc]backup-simplify: Simplify 1 into 1 1540326329.503 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.503 * [misc]backup-simplify: Simplify PI into PI 1540326329.503 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326329.504 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326329.504 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.504 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.504 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540326329.505 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.505 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.505 * [misc]backup-simplify: Simplify 0 into 0 1540326329.505 * [misc]backup-simplify: Simplify 0 into 0 1540326329.505 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326329.506 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326329.511 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540326329.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.512 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540326329.518 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540326329.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540326329.521 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1540326329.521 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.521 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.522 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540326329.524 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1540326329.530 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1540326329.538 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1540326329.538 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1540326329.538 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1540326329.538 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540326329.538 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.538 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.538 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540326329.538 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540326329.538 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.538 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.538 * [misc]backup-simplify: Simplify 2 into 2 1540326329.539 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.539 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.539 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.539 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.539 * [misc]backup-simplify: Simplify PI into PI 1540326329.539 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.539 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540326329.539 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540326329.539 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.540 * [misc]backup-simplify: Simplify PI into PI 1540326329.540 * [misc]taylor: Taking taylor expansion of n in n 1540326329.540 * [misc]backup-simplify: Simplify 0 into 0 1540326329.540 * [misc]backup-simplify: Simplify 1 into 1 1540326329.540 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540326329.541 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540326329.541 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.541 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.541 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1540326329.541 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1540326329.541 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540326329.541 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.541 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.541 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540326329.541 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.542 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.542 * [misc]backup-simplify: Simplify 2 into 2 1540326329.542 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.542 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.542 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326329.542 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326329.542 * [misc]taylor: Taking taylor expansion of n in n 1540326329.542 * [misc]backup-simplify: Simplify 0 into 0 1540326329.542 * [misc]backup-simplify: Simplify 1 into 1 1540326329.542 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.542 * [misc]backup-simplify: Simplify PI into PI 1540326329.542 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326329.543 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326329.543 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.544 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.544 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.544 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.544 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.544 * [misc]backup-simplify: Simplify 2 into 2 1540326329.544 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.544 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.544 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.544 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.544 * [misc]backup-simplify: Simplify 2 into 2 1540326329.545 * [misc]taylor: Taking taylor expansion of n in n 1540326329.545 * [misc]backup-simplify: Simplify 0 into 0 1540326329.545 * [misc]backup-simplify: Simplify 1 into 1 1540326329.545 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.545 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.545 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.545 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540326329.545 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540326329.545 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.545 * [misc]backup-simplify: Simplify PI into PI 1540326329.545 * [misc]taylor: Taking taylor expansion of n in n 1540326329.545 * [misc]backup-simplify: Simplify 0 into 0 1540326329.545 * [misc]backup-simplify: Simplify 1 into 1 1540326329.546 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540326329.546 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540326329.547 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.547 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.548 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540326329.549 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540326329.549 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.549 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540326329.549 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.550 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.550 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540326329.550 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540326329.550 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.551 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.551 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.551 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.551 * [misc]backup-simplify: Simplify 0 into 0 1540326329.552 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326329.554 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326329.556 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326329.560 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326329.560 * [misc]backup-simplify: Simplify 0 into 0 1540326329.560 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.562 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326329.569 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1540326329.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540326329.570 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.570 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.572 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540326329.581 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1540326329.582 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1540326329.585 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1540326329.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540326329.586 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1540326329.589 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1540326329.604 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1540326329.625 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1540326329.625 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1540326329.625 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1540326329.625 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540326329.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.625 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540326329.625 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540326329.625 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.625 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.625 * [misc]backup-simplify: Simplify 2 into 2 1540326329.625 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.626 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.626 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.626 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.626 * [misc]backup-simplify: Simplify PI into PI 1540326329.626 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.626 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540326329.626 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540326329.626 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.626 * [misc]backup-simplify: Simplify PI into PI 1540326329.626 * [misc]taylor: Taking taylor expansion of n in n 1540326329.626 * [misc]backup-simplify: Simplify 0 into 0 1540326329.626 * [misc]backup-simplify: Simplify 1 into 1 1540326329.626 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540326329.627 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540326329.627 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.627 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.627 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1540326329.627 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1540326329.627 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1540326329.627 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.627 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.627 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1540326329.627 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1540326329.627 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.627 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.627 * [misc]backup-simplify: Simplify 2 into 2 1540326329.627 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.628 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.628 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540326329.628 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.628 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.628 * [misc]backup-simplify: Simplify PI into PI 1540326329.628 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.628 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540326329.628 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540326329.628 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.628 * [misc]backup-simplify: Simplify PI into PI 1540326329.628 * [misc]taylor: Taking taylor expansion of n in n 1540326329.628 * [misc]backup-simplify: Simplify 0 into 0 1540326329.628 * [misc]backup-simplify: Simplify 1 into 1 1540326329.628 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540326329.629 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540326329.629 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.629 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.629 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1540326329.629 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1540326329.629 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1540326329.629 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.629 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.629 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1540326329.629 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1540326329.629 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.629 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.629 * [misc]backup-simplify: Simplify 2 into 2 1540326329.629 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.630 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.630 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1540326329.630 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.630 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.630 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.630 * [misc]backup-simplify: Simplify 2 into 2 1540326329.630 * [misc]taylor: Taking taylor expansion of n in n 1540326329.630 * [misc]backup-simplify: Simplify 0 into 0 1540326329.630 * [misc]backup-simplify: Simplify 1 into 1 1540326329.630 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.630 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.630 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.630 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.630 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540326329.630 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540326329.630 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.630 * [misc]backup-simplify: Simplify PI into PI 1540326329.630 * [misc]taylor: Taking taylor expansion of n in n 1540326329.630 * [misc]backup-simplify: Simplify 0 into 0 1540326329.630 * [misc]backup-simplify: Simplify 1 into 1 1540326329.631 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540326329.631 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540326329.631 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.631 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.631 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1540326329.631 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1540326329.631 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1540326329.631 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.631 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.632 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.632 * [misc]backup-simplify: Simplify 2 into 2 1540326329.632 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.632 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.632 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.632 * [misc]backup-simplify: Simplify 2 into 2 1540326329.632 * [misc]taylor: Taking taylor expansion of n in n 1540326329.632 * [misc]backup-simplify: Simplify 0 into 0 1540326329.632 * [misc]backup-simplify: Simplify 1 into 1 1540326329.632 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.632 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.632 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.632 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.632 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.632 * [misc]backup-simplify: Simplify PI into PI 1540326329.633 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.633 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326329.633 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326329.633 * [misc]taylor: Taking taylor expansion of n in n 1540326329.633 * [misc]backup-simplify: Simplify 0 into 0 1540326329.633 * [misc]backup-simplify: Simplify 1 into 1 1540326329.633 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.633 * [misc]backup-simplify: Simplify PI into PI 1540326329.633 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326329.633 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326329.633 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.634 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.634 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.634 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.634 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.634 * [misc]backup-simplify: Simplify 2 into 2 1540326329.634 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.634 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540326329.634 * [misc]taylor: Taking taylor expansion of n in n 1540326329.634 * [misc]backup-simplify: Simplify 0 into 0 1540326329.634 * [misc]backup-simplify: Simplify 1 into 1 1540326329.634 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.634 * [misc]backup-simplify: Simplify PI into PI 1540326329.634 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540326329.635 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540326329.635 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.635 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.635 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540326329.635 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540326329.635 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.635 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.635 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540326329.635 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540326329.635 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.635 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.635 * [misc]backup-simplify: Simplify 2 into 2 1540326329.635 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.636 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.636 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.636 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.636 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.636 * [misc]backup-simplify: Simplify 2 into 2 1540326329.636 * [misc]taylor: Taking taylor expansion of n in n 1540326329.636 * [misc]backup-simplify: Simplify 0 into 0 1540326329.636 * [misc]backup-simplify: Simplify 1 into 1 1540326329.636 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.636 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.636 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.636 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540326329.636 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540326329.636 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.636 * [misc]backup-simplify: Simplify PI into PI 1540326329.636 * [misc]taylor: Taking taylor expansion of n in n 1540326329.636 * [misc]backup-simplify: Simplify 0 into 0 1540326329.636 * [misc]backup-simplify: Simplify 1 into 1 1540326329.636 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540326329.637 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540326329.637 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.637 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540326329.638 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540326329.638 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540326329.638 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.639 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540326329.640 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1540326329.642 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1540326329.642 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.643 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.643 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.644 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1540326329.644 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1540326329.645 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1540326329.645 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.646 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.646 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1540326329.647 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1540326329.648 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1540326329.648 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.648 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540326329.648 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.649 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.649 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540326329.649 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540326329.650 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540326329.650 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.650 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.650 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.651 * [misc]backup-simplify: Simplify 0 into 0 1540326329.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326329.655 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1540326329.657 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540326329.660 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540326329.662 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326329.664 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540326329.665 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.667 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.667 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.668 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1540326329.669 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1540326329.671 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1540326329.675 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1540326329.679 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540326329.683 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540326329.689 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540326329.700 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540326329.708 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540326329.709 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540326329.711 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540326329.712 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540326329.716 * [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)))) 1540326329.721 * [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)))) 1540326329.724 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540326329.726 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540326329.738 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1540326329.739 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1540326329.739 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1540326329.739 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1540326329.739 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.739 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.739 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540326329.739 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540326329.739 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.740 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.740 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.740 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.740 * [misc]taylor: Taking taylor expansion of k in n 1540326329.740 * [misc]backup-simplify: Simplify k into k 1540326329.740 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.740 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.740 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.740 * [misc]backup-simplify: Simplify PI into PI 1540326329.740 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.740 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.741 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.741 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540326329.741 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.741 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of k in n 1540326329.742 * [misc]backup-simplify: Simplify k into k 1540326329.742 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.742 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.742 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.742 * [misc]backup-simplify: Simplify 2 into 2 1540326329.742 * [misc]taylor: Taking taylor expansion of n in n 1540326329.742 * [misc]backup-simplify: Simplify 0 into 0 1540326329.742 * [misc]backup-simplify: Simplify 1 into 1 1540326329.742 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.742 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.743 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.743 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.743 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.743 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.743 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.744 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.744 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326329.744 * [misc]taylor: Taking taylor expansion of k in n 1540326329.744 * [misc]backup-simplify: Simplify k into k 1540326329.744 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326329.744 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326329.744 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.744 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.744 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.744 * [misc]taylor: Taking taylor expansion of k in k 1540326329.745 * [misc]backup-simplify: Simplify 0 into 0 1540326329.745 * [misc]backup-simplify: Simplify 1 into 1 1540326329.745 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.745 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.745 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.745 * [misc]backup-simplify: Simplify PI into PI 1540326329.745 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.745 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.746 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.746 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.746 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326329.747 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of k in k 1540326329.747 * [misc]backup-simplify: Simplify 0 into 0 1540326329.747 * [misc]backup-simplify: Simplify 1 into 1 1540326329.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.747 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326329.747 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.747 * [misc]backup-simplify: Simplify 2 into 2 1540326329.747 * [misc]taylor: Taking taylor expansion of n in k 1540326329.747 * [misc]backup-simplify: Simplify n into n 1540326329.747 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326329.748 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326329.748 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.748 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.748 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.748 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326329.748 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.748 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326329.748 * [misc]taylor: Taking taylor expansion of k in k 1540326329.748 * [misc]backup-simplify: Simplify 0 into 0 1540326329.748 * [misc]backup-simplify: Simplify 1 into 1 1540326329.749 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.749 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.749 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.750 * [misc]taylor: Taking taylor expansion of k in k 1540326329.750 * [misc]backup-simplify: Simplify 0 into 0 1540326329.750 * [misc]backup-simplify: Simplify 1 into 1 1540326329.750 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.750 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.750 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.750 * [misc]backup-simplify: Simplify PI into PI 1540326329.750 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.750 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.751 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.751 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.751 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326329.752 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.752 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of k in k 1540326329.752 * [misc]backup-simplify: Simplify 0 into 0 1540326329.752 * [misc]backup-simplify: Simplify 1 into 1 1540326329.752 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.752 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326329.752 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.752 * [misc]backup-simplify: Simplify 2 into 2 1540326329.752 * [misc]taylor: Taking taylor expansion of n in k 1540326329.752 * [misc]backup-simplify: Simplify n into n 1540326329.753 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326329.753 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326329.753 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.753 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.753 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.753 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326329.753 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.753 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326329.753 * [misc]taylor: Taking taylor expansion of k in k 1540326329.753 * [misc]backup-simplify: Simplify 0 into 0 1540326329.754 * [misc]backup-simplify: Simplify 1 into 1 1540326329.754 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.754 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.755 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540326329.755 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540326329.755 * [misc]taylor: Taking taylor expansion of 0 in n 1540326329.755 * [misc]backup-simplify: Simplify 0 into 0 1540326329.755 * [misc]backup-simplify: Simplify 0 into 0 1540326329.755 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1540326329.756 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326329.756 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.756 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.756 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.757 * [misc]taylor: Taking taylor expansion of k in n 1540326329.757 * [misc]backup-simplify: Simplify k into k 1540326329.757 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.757 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.757 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.757 * [misc]backup-simplify: Simplify PI into PI 1540326329.757 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.757 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.757 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.757 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.758 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540326329.758 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.758 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.758 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.758 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.759 * [misc]taylor: Taking taylor expansion of k in n 1540326329.759 * [misc]backup-simplify: Simplify k into k 1540326329.759 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.759 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.759 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.759 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.759 * [misc]backup-simplify: Simplify 2 into 2 1540326329.759 * [misc]taylor: Taking taylor expansion of n in n 1540326329.759 * [misc]backup-simplify: Simplify 0 into 0 1540326329.759 * [misc]backup-simplify: Simplify 1 into 1 1540326329.759 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.759 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.759 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.760 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.760 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.760 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.761 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.761 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.762 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1540326329.762 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.763 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.763 * [misc]backup-simplify: Simplify 0 into 0 1540326329.764 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326329.765 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1540326329.766 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326329.766 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.766 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.766 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.766 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of k in n 1540326329.766 * [misc]backup-simplify: Simplify k into k 1540326329.766 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.766 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.766 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.766 * [misc]backup-simplify: Simplify PI into PI 1540326329.767 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.767 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.767 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.767 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.767 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540326329.768 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.768 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of k in n 1540326329.768 * [misc]backup-simplify: Simplify k into k 1540326329.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.768 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.768 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.768 * [misc]backup-simplify: Simplify 2 into 2 1540326329.769 * [misc]taylor: Taking taylor expansion of n in n 1540326329.769 * [misc]backup-simplify: Simplify 0 into 0 1540326329.769 * [misc]backup-simplify: Simplify 1 into 1 1540326329.769 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.769 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.769 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.769 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.769 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.770 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.770 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.771 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.771 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1540326329.772 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.773 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540326329.776 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.776 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.777 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.777 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540326329.779 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.782 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326329.782 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.782 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.783 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540326329.784 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.785 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1540326329.786 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540326329.786 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.786 * [misc]backup-simplify: Simplify 0 into 0 1540326329.786 * [misc]backup-simplify: Simplify 0 into 0 1540326329.787 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326329.788 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326329.789 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326329.789 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.789 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.789 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of k in n 1540326329.789 * [misc]backup-simplify: Simplify k into k 1540326329.789 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.789 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.789 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.790 * [misc]backup-simplify: Simplify PI into PI 1540326329.790 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.790 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.790 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.790 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.791 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540326329.791 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.791 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.791 * [misc]taylor: Taking taylor expansion of k in n 1540326329.791 * [misc]backup-simplify: Simplify k into k 1540326329.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.792 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.792 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.792 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.792 * [misc]backup-simplify: Simplify 2 into 2 1540326329.792 * [misc]taylor: Taking taylor expansion of n in n 1540326329.792 * [misc]backup-simplify: Simplify 0 into 0 1540326329.792 * [misc]backup-simplify: Simplify 1 into 1 1540326329.792 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.792 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.792 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.792 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.792 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.793 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.793 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.793 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.794 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.795 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1540326329.795 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.796 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.799 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1540326329.800 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1540326329.800 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1540326329.800 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.800 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.800 * [misc]taylor: Taking taylor expansion of k in n 1540326329.800 * [misc]backup-simplify: Simplify k into k 1540326329.801 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.801 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326329.801 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326329.801 * [misc]taylor: Taking taylor expansion of -2 in n 1540326329.801 * [misc]backup-simplify: Simplify -2 into -2 1540326329.801 * [misc]taylor: Taking taylor expansion of n in n 1540326329.801 * [misc]backup-simplify: Simplify 0 into 0 1540326329.801 * [misc]backup-simplify: Simplify 1 into 1 1540326329.801 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326329.801 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.801 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.801 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.802 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326329.802 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.802 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.802 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540326329.803 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540326329.803 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.803 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.803 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.803 * [misc]taylor: Taking taylor expansion of k in n 1540326329.803 * [misc]backup-simplify: Simplify k into k 1540326329.803 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.803 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.803 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.803 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.803 * [misc]backup-simplify: Simplify PI into PI 1540326329.803 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.804 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.804 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.804 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540326329.805 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.805 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326329.805 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326329.805 * [misc]taylor: Taking taylor expansion of -1 in n 1540326329.805 * [misc]backup-simplify: Simplify -1 into -1 1540326329.805 * [misc]taylor: Taking taylor expansion of k in n 1540326329.805 * [misc]backup-simplify: Simplify k into k 1540326329.805 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326329.805 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326329.805 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326329.805 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326329.806 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540326329.806 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1540326329.806 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1540326329.806 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326329.806 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.806 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.807 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of k in k 1540326329.807 * [misc]backup-simplify: Simplify 0 into 0 1540326329.807 * [misc]backup-simplify: Simplify 1 into 1 1540326329.807 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.807 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326329.807 * [misc]taylor: Taking taylor expansion of -2 in k 1540326329.807 * [misc]backup-simplify: Simplify -2 into -2 1540326329.807 * [misc]taylor: Taking taylor expansion of n in k 1540326329.807 * [misc]backup-simplify: Simplify n into n 1540326329.807 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326329.807 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326329.808 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.808 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.808 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326329.808 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.808 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.808 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326329.808 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326329.808 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.808 * [misc]taylor: Taking taylor expansion of k in k 1540326329.808 * [misc]backup-simplify: Simplify 0 into 0 1540326329.808 * [misc]backup-simplify: Simplify 1 into 1 1540326329.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.809 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.809 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.809 * [misc]backup-simplify: Simplify PI into PI 1540326329.809 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.809 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.809 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.810 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.810 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326329.811 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326329.811 * [misc]taylor: Taking taylor expansion of -1 in k 1540326329.811 * [misc]backup-simplify: Simplify -1 into -1 1540326329.811 * [misc]taylor: Taking taylor expansion of k in k 1540326329.811 * [misc]backup-simplify: Simplify 0 into 0 1540326329.811 * [misc]backup-simplify: Simplify 1 into 1 1540326329.811 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326329.811 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.811 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326329.812 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540326329.812 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326329.812 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1540326329.812 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326329.812 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.812 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326329.812 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326329.812 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.813 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.813 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.813 * [misc]taylor: Taking taylor expansion of k in k 1540326329.813 * [misc]backup-simplify: Simplify 0 into 0 1540326329.813 * [misc]backup-simplify: Simplify 1 into 1 1540326329.813 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.813 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.813 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326329.813 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326329.813 * [misc]taylor: Taking taylor expansion of -2 in k 1540326329.813 * [misc]backup-simplify: Simplify -2 into -2 1540326329.813 * [misc]taylor: Taking taylor expansion of n in k 1540326329.813 * [misc]backup-simplify: Simplify n into n 1540326329.813 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326329.813 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326329.813 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.814 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.814 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326329.814 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.814 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326329.814 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326329.814 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326329.814 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326329.814 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.814 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.814 * [misc]taylor: Taking taylor expansion of k in k 1540326329.814 * [misc]backup-simplify: Simplify 0 into 0 1540326329.814 * [misc]backup-simplify: Simplify 1 into 1 1540326329.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.814 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.814 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326329.815 * [misc]taylor: Taking taylor expansion of PI in k 1540326329.815 * [misc]backup-simplify: Simplify PI into PI 1540326329.815 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.815 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.815 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.816 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326329.816 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.816 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326329.816 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326329.816 * [misc]taylor: Taking taylor expansion of -1 in k 1540326329.816 * [misc]backup-simplify: Simplify -1 into -1 1540326329.816 * [misc]taylor: Taking taylor expansion of k in k 1540326329.816 * [misc]backup-simplify: Simplify 0 into 0 1540326329.816 * [misc]backup-simplify: Simplify 1 into 1 1540326329.817 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326329.817 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.817 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326329.818 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540326329.818 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326329.818 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.818 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.818 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.818 * [misc]taylor: Taking taylor expansion of k in n 1540326329.818 * [misc]backup-simplify: Simplify k into k 1540326329.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.819 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326329.819 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326329.819 * [misc]taylor: Taking taylor expansion of -2 in n 1540326329.819 * [misc]backup-simplify: Simplify -2 into -2 1540326329.819 * [misc]taylor: Taking taylor expansion of n in n 1540326329.819 * [misc]backup-simplify: Simplify 0 into 0 1540326329.819 * [misc]backup-simplify: Simplify 1 into 1 1540326329.819 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326329.819 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.819 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.820 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.820 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326329.820 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.820 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.820 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540326329.820 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540326329.820 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.821 * [misc]taylor: Taking taylor expansion of k in n 1540326329.821 * [misc]backup-simplify: Simplify k into k 1540326329.821 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.821 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.821 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.821 * [misc]backup-simplify: Simplify PI into PI 1540326329.821 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.821 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.821 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.822 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540326329.822 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.823 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540326329.823 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326329.824 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326329.825 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540326329.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540326329.826 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326329.827 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326329.827 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.827 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.827 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.828 * [misc]taylor: Taking taylor expansion of k in n 1540326329.828 * [misc]backup-simplify: Simplify k into k 1540326329.828 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.828 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326329.828 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326329.828 * [misc]taylor: Taking taylor expansion of -2 in n 1540326329.828 * [misc]backup-simplify: Simplify -2 into -2 1540326329.828 * [misc]taylor: Taking taylor expansion of n in n 1540326329.828 * [misc]backup-simplify: Simplify 0 into 0 1540326329.828 * [misc]backup-simplify: Simplify 1 into 1 1540326329.828 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326329.828 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.828 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.828 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.829 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.829 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326329.830 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.830 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.830 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of k in n 1540326329.830 * [misc]backup-simplify: Simplify k into k 1540326329.830 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.830 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.830 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.830 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.830 * [misc]backup-simplify: Simplify PI into PI 1540326329.831 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.831 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.831 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.831 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540326329.832 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.832 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540326329.833 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326329.834 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326329.834 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326329.837 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326329.837 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.837 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.838 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.838 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540326329.840 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.840 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540326329.842 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540326329.843 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.843 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.843 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.843 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.844 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540326329.847 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.848 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540326329.848 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540326329.848 * [misc]backup-simplify: Simplify 0 into 0 1540326329.849 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540326329.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.850 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326329.852 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326329.852 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.852 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.852 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.852 * [misc]taylor: Taking taylor expansion of k in n 1540326329.852 * [misc]backup-simplify: Simplify k into k 1540326329.852 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.852 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326329.853 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326329.853 * [misc]taylor: Taking taylor expansion of -2 in n 1540326329.853 * [misc]backup-simplify: Simplify -2 into -2 1540326329.853 * [misc]taylor: Taking taylor expansion of n in n 1540326329.853 * [misc]backup-simplify: Simplify 0 into 0 1540326329.853 * [misc]backup-simplify: Simplify 1 into 1 1540326329.853 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326329.853 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326329.853 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.853 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.854 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326329.854 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326329.854 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326329.854 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326329.854 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540326329.854 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540326329.854 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326329.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.854 * [misc]taylor: Taking taylor expansion of k in n 1540326329.855 * [misc]backup-simplify: Simplify k into k 1540326329.855 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.855 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540326329.855 * [misc]taylor: Taking taylor expansion of PI in n 1540326329.855 * [misc]backup-simplify: Simplify PI into PI 1540326329.855 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326329.855 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.855 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326329.856 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540326329.856 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326329.857 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540326329.857 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540326329.858 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326329.858 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326329.862 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1540326329.862 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1540326329.862 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540326329.862 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540326329.862 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.862 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326329.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.863 * [misc]taylor: Taking taylor expansion of k in n 1540326329.863 * [misc]backup-simplify: Simplify k into k 1540326329.863 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.863 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.863 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.863 * [misc]backup-simplify: Simplify 2 into 2 1540326329.863 * [misc]taylor: Taking taylor expansion of n in n 1540326329.863 * [misc]backup-simplify: Simplify 0 into 0 1540326329.863 * [misc]backup-simplify: Simplify 1 into 1 1540326329.863 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.863 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.863 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.863 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326329.863 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326329.864 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326329.864 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.864 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326329.864 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326329.865 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1540326329.865 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326329.865 * [misc]taylor: Taking taylor expansion of k in n 1540326329.865 * [misc]backup-simplify: Simplify k into k 1540326329.865 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326329.865 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326329.865 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.865 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.865 * [misc]taylor: Taking taylor expansion of k in k 1540326329.865 * [misc]backup-simplify: Simplify 0 into 0 1540326329.866 * [misc]backup-simplify: Simplify 1 into 1 1540326329.866 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326329.866 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326329.866 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.866 * [misc]backup-simplify: Simplify 2 into 2 1540326329.866 * [misc]taylor: Taking taylor expansion of n in k 1540326329.866 * [misc]backup-simplify: Simplify n into n 1540326329.866 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326329.866 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326329.866 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.866 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.866 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.866 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326329.866 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326329.867 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540326329.867 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326329.867 * [misc]taylor: Taking taylor expansion of k in k 1540326329.867 * [misc]backup-simplify: Simplify 0 into 0 1540326329.867 * [misc]backup-simplify: Simplify 1 into 1 1540326329.867 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.867 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.867 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540326329.867 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540326329.867 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326329.867 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326329.867 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326329.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326329.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.868 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326329.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.868 * [misc]taylor: Taking taylor expansion of k in k 1540326329.868 * [misc]backup-simplify: Simplify 0 into 0 1540326329.868 * [misc]backup-simplify: Simplify 1 into 1 1540326329.868 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326329.868 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326329.868 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.868 * [misc]backup-simplify: Simplify 2 into 2 1540326329.868 * [misc]taylor: Taking taylor expansion of n in k 1540326329.868 * [misc]backup-simplify: Simplify n into n 1540326329.868 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326329.868 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326329.868 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326329.868 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.868 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326329.868 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326329.868 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326329.868 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540326329.868 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326329.868 * [misc]taylor: Taking taylor expansion of k in k 1540326329.868 * [misc]backup-simplify: Simplify 0 into 0 1540326329.868 * [misc]backup-simplify: Simplify 1 into 1 1540326329.869 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.869 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.869 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1540326329.869 * [misc]taylor: Taking taylor expansion of 0 in n 1540326329.869 * [misc]backup-simplify: Simplify 0 into 0 1540326329.869 * [misc]backup-simplify: Simplify 0 into 0 1540326329.869 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540326329.870 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540326329.870 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326329.870 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.870 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540326329.871 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1540326329.872 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1540326329.873 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1540326329.873 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540326329.873 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540326329.873 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.873 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.873 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540326329.873 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540326329.873 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540326329.873 * [misc]taylor: Taking taylor expansion of n in n 1540326329.873 * [misc]backup-simplify: Simplify 0 into 0 1540326329.873 * [misc]backup-simplify: Simplify 1 into 1 1540326329.873 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.874 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.874 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.874 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326329.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.874 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326329.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326329.875 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.875 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540326329.876 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540326329.876 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.876 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.876 * [misc]backup-simplify: Simplify 0 into 0 1540326329.877 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326329.877 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540326329.879 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1540326329.879 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.879 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.879 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.879 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540326329.880 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1540326329.886 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1540326329.893 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1540326329.894 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.894 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.894 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.894 * [misc]backup-simplify: Simplify 2 into 2 1540326329.894 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326329.894 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326329.894 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326329.894 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.894 * [misc]backup-simplify: Simplify 2 into 2 1540326329.894 * [misc]taylor: Taking taylor expansion of n in n 1540326329.894 * [misc]backup-simplify: Simplify 0 into 0 1540326329.894 * [misc]backup-simplify: Simplify 1 into 1 1540326329.894 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326329.894 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326329.895 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.895 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540326329.895 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326329.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.895 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326329.895 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326329.895 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540326329.895 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540326329.895 * [misc]taylor: Taking taylor expansion of n in n 1540326329.895 * [misc]backup-simplify: Simplify 0 into 0 1540326329.895 * [misc]backup-simplify: Simplify 1 into 1 1540326329.895 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.895 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.896 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.896 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540326329.896 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540326329.896 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.896 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.896 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540326329.896 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540326329.896 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540326329.896 * [misc]taylor: Taking taylor expansion of n in n 1540326329.896 * [misc]backup-simplify: Simplify 0 into 0 1540326329.896 * [misc]backup-simplify: Simplify 1 into 1 1540326329.896 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.896 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.897 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.897 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326329.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.897 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326329.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326329.897 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.898 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540326329.899 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1540326329.900 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1540326329.900 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326329.901 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540326329.901 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540326329.903 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.904 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540326329.906 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1540326329.908 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540326329.910 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1540326329.917 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540326329.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.918 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540326329.919 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540326329.920 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.928 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1540326329.937 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540326329.944 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540326329.946 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540326329.946 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326329.947 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326329.948 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.950 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.951 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.951 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326329.964 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540326329.964 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540326329.964 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540326329.964 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540326329.964 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.964 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.964 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.964 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.964 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.965 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.965 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.965 * [misc]taylor: Taking taylor expansion of k in n 1540326329.965 * [misc]backup-simplify: Simplify k into k 1540326329.965 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.965 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.965 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.965 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.965 * [misc]backup-simplify: Simplify 2 into 2 1540326329.965 * [misc]taylor: Taking taylor expansion of n in n 1540326329.965 * [misc]backup-simplify: Simplify 0 into 0 1540326329.965 * [misc]backup-simplify: Simplify 1 into 1 1540326329.965 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.965 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.966 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.966 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.966 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.967 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.967 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.967 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.967 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326329.967 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.967 * [misc]taylor: Taking taylor expansion of k in n 1540326329.968 * [misc]backup-simplify: Simplify k into k 1540326329.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.968 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326329.968 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.968 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326329.968 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.968 * [misc]taylor: Taking taylor expansion of k in k 1540326329.968 * [misc]backup-simplify: Simplify 0 into 0 1540326329.968 * [misc]backup-simplify: Simplify 1 into 1 1540326329.969 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.969 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326329.969 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326329.969 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.969 * [misc]backup-simplify: Simplify 2 into 2 1540326329.969 * [misc]taylor: Taking taylor expansion of n in k 1540326329.969 * [misc]backup-simplify: Simplify n into n 1540326329.969 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326329.969 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326329.969 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.969 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.969 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.969 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326329.970 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.970 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540326329.970 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326329.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.970 * [misc]taylor: Taking taylor expansion of k in k 1540326329.970 * [misc]backup-simplify: Simplify 0 into 0 1540326329.970 * [misc]backup-simplify: Simplify 1 into 1 1540326329.970 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.970 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.971 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.971 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.971 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326329.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.971 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.971 * [misc]taylor: Taking taylor expansion of k in k 1540326329.971 * [misc]backup-simplify: Simplify 0 into 0 1540326329.971 * [misc]backup-simplify: Simplify 1 into 1 1540326329.971 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.972 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326329.972 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326329.972 * [misc]taylor: Taking taylor expansion of 2 in k 1540326329.972 * [misc]backup-simplify: Simplify 2 into 2 1540326329.972 * [misc]taylor: Taking taylor expansion of n in k 1540326329.972 * [misc]backup-simplify: Simplify n into n 1540326329.972 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326329.972 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326329.972 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326329.972 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326329.972 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326329.972 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326329.973 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326329.973 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540326329.973 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326329.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326329.973 * [misc]taylor: Taking taylor expansion of k in k 1540326329.973 * [misc]backup-simplify: Simplify 0 into 0 1540326329.973 * [misc]backup-simplify: Simplify 1 into 1 1540326329.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326329.973 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326329.974 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326329.974 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540326329.974 * [misc]taylor: Taking taylor expansion of 0 in n 1540326329.974 * [misc]backup-simplify: Simplify 0 into 0 1540326329.974 * [misc]backup-simplify: Simplify 0 into 0 1540326329.975 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326329.975 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326329.975 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326329.975 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326329.975 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.976 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.976 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.976 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.976 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of k in n 1540326329.976 * [misc]backup-simplify: Simplify k into k 1540326329.976 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.976 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.976 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.976 * [misc]backup-simplify: Simplify 2 into 2 1540326329.976 * [misc]taylor: Taking taylor expansion of n in n 1540326329.976 * [misc]backup-simplify: Simplify 0 into 0 1540326329.976 * [misc]backup-simplify: Simplify 1 into 1 1540326329.976 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.977 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.977 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.977 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.977 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.978 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.978 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.978 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.979 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.979 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.979 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.980 * [misc]backup-simplify: Simplify 0 into 0 1540326329.980 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326329.981 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326329.982 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326329.982 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326329.982 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326329.982 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326329.982 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326329.982 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326329.982 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326329.982 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326329.982 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326329.982 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326329.983 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326329.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326329.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326329.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326329.983 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326329.983 * [misc]taylor: Taking taylor expansion of k in n 1540326329.983 * [misc]backup-simplify: Simplify k into k 1540326329.983 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326329.983 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326329.983 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326329.983 * [misc]taylor: Taking taylor expansion of 2 in n 1540326329.983 * [misc]backup-simplify: Simplify 2 into 2 1540326329.983 * [misc]taylor: Taking taylor expansion of n in n 1540326329.983 * [misc]backup-simplify: Simplify 0 into 0 1540326329.983 * [misc]backup-simplify: Simplify 1 into 1 1540326329.983 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326329.983 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326329.983 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326329.984 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326329.984 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326329.984 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.984 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326329.985 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326329.985 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.985 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326329.986 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.986 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326329.987 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540326329.993 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326329.993 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326329.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326329.993 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.993 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326329.994 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326329.994 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540326329.995 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326329.996 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1540326329.997 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540326329.997 * [misc]backup-simplify: Simplify (- 0) into 0 1540326329.997 * [misc]backup-simplify: Simplify 0 into 0 1540326329.997 * [misc]backup-simplify: Simplify 0 into 0 1540326329.997 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326329.999 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326329.999 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326330.000 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326330.000 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326330.000 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326330.000 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.000 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of k in n 1540326330.000 * [misc]backup-simplify: Simplify k into k 1540326330.000 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326330.000 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326330.000 * [misc]taylor: Taking taylor expansion of 2 in n 1540326330.000 * [misc]backup-simplify: Simplify 2 into 2 1540326330.000 * [misc]taylor: Taking taylor expansion of n in n 1540326330.000 * [misc]backup-simplify: Simplify 0 into 0 1540326330.000 * [misc]backup-simplify: Simplify 1 into 1 1540326330.000 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326330.000 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326330.000 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326330.000 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326330.000 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326330.001 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326330.001 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326330.001 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326330.001 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326330.001 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326330.002 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326330.002 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326330.003 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540326330.003 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326330.003 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540326330.003 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326330.003 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326330.003 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326330.003 * [misc]taylor: Taking taylor expansion of -1 in n 1540326330.003 * [misc]backup-simplify: Simplify -1 into -1 1540326330.004 * [misc]taylor: Taking taylor expansion of k in n 1540326330.004 * [misc]backup-simplify: Simplify k into k 1540326330.004 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326330.004 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326330.004 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326330.004 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326330.004 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of k in n 1540326330.004 * [misc]backup-simplify: Simplify k into k 1540326330.004 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326330.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.004 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326330.004 * [misc]taylor: Taking taylor expansion of -2 in n 1540326330.004 * [misc]backup-simplify: Simplify -2 into -2 1540326330.004 * [misc]taylor: Taking taylor expansion of n in n 1540326330.004 * [misc]backup-simplify: Simplify 0 into 0 1540326330.004 * [misc]backup-simplify: Simplify 1 into 1 1540326330.004 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326330.004 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326330.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326330.004 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326330.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326330.005 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326330.005 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326330.005 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.005 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326330.005 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326330.005 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326330.005 * [misc]taylor: Taking taylor expansion of -1 in k 1540326330.005 * [misc]backup-simplify: Simplify -1 into -1 1540326330.005 * [misc]taylor: Taking taylor expansion of k in k 1540326330.005 * [misc]backup-simplify: Simplify 0 into 0 1540326330.005 * [misc]backup-simplify: Simplify 1 into 1 1540326330.006 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326330.006 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326330.006 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326330.006 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326330.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of k in k 1540326330.006 * [misc]backup-simplify: Simplify 0 into 0 1540326330.006 * [misc]backup-simplify: Simplify 1 into 1 1540326330.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326330.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326330.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.006 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326330.006 * [misc]taylor: Taking taylor expansion of -2 in k 1540326330.006 * [misc]backup-simplify: Simplify -2 into -2 1540326330.006 * [misc]taylor: Taking taylor expansion of n in k 1540326330.006 * [misc]backup-simplify: Simplify n into n 1540326330.006 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326330.006 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326330.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326330.007 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326330.007 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326330.007 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326330.007 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326330.007 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326330.007 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326330.007 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326330.007 * [misc]taylor: Taking taylor expansion of -1 in k 1540326330.007 * [misc]backup-simplify: Simplify -1 into -1 1540326330.007 * [misc]taylor: Taking taylor expansion of k in k 1540326330.007 * [misc]backup-simplify: Simplify 0 into 0 1540326330.007 * [misc]backup-simplify: Simplify 1 into 1 1540326330.007 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326330.007 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326330.008 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326330.008 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326330.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of k in k 1540326330.008 * [misc]backup-simplify: Simplify 0 into 0 1540326330.008 * [misc]backup-simplify: Simplify 1 into 1 1540326330.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326330.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326330.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.008 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326330.008 * [misc]taylor: Taking taylor expansion of -2 in k 1540326330.008 * [misc]backup-simplify: Simplify -2 into -2 1540326330.008 * [misc]taylor: Taking taylor expansion of n in k 1540326330.008 * [misc]backup-simplify: Simplify n into n 1540326330.008 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326330.008 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326330.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326330.008 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326330.008 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326330.008 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326330.009 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326330.009 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326330.009 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326330.009 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of k in n 1540326330.009 * [misc]backup-simplify: Simplify k into k 1540326330.009 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326330.009 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.009 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326330.009 * [misc]taylor: Taking taylor expansion of -2 in n 1540326330.009 * [misc]backup-simplify: Simplify -2 into -2 1540326330.009 * [misc]taylor: Taking taylor expansion of n in n 1540326330.009 * [misc]backup-simplify: Simplify 0 into 0 1540326330.009 * [misc]backup-simplify: Simplify 1 into 1 1540326330.009 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326330.009 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326330.009 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326330.009 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326330.010 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326330.010 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326330.010 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326330.010 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.010 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540326330.011 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326330.012 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326330.012 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326330.012 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326330.012 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of k in n 1540326330.012 * [misc]backup-simplify: Simplify k into k 1540326330.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326330.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.012 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326330.012 * [misc]taylor: Taking taylor expansion of -2 in n 1540326330.012 * [misc]backup-simplify: Simplify -2 into -2 1540326330.012 * [misc]taylor: Taking taylor expansion of n in n 1540326330.012 * [misc]backup-simplify: Simplify 0 into 0 1540326330.012 * [misc]backup-simplify: Simplify 1 into 1 1540326330.012 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326330.012 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326330.012 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326330.012 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326330.013 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326330.013 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326330.013 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326330.013 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.013 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.014 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326330.014 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326330.014 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540326330.016 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540326330.016 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326330.016 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326330.016 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326330.016 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326330.016 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540326330.017 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326330.018 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1540326330.018 * [misc]backup-simplify: Simplify 0 into 0 1540326330.018 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326330.019 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326330.019 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326330.019 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326330.019 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326330.019 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326330.019 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326330.020 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.020 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of k in n 1540326330.020 * [misc]backup-simplify: Simplify k into k 1540326330.020 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326330.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326330.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326330.020 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326330.020 * [misc]taylor: Taking taylor expansion of -2 in n 1540326330.020 * [misc]backup-simplify: Simplify -2 into -2 1540326330.020 * [misc]taylor: Taking taylor expansion of n in n 1540326330.020 * [misc]backup-simplify: Simplify 0 into 0 1540326330.020 * [misc]backup-simplify: Simplify 1 into 1 1540326330.020 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326330.020 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326330.020 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326330.020 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326330.020 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326330.021 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326330.021 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326330.021 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.021 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326330.021 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326330.022 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326330.023 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540326330.023 * * * [misc]progress: simplifying candidates 1540326330.023 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1540326330.023 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1540326330.024 * * [misc]simplify: iters left: 6 (9 enodes) 1540326330.029 * * [misc]simplify: iters left: 5 (16 enodes) 1540326330.037 * * [misc]simplify: iters left: 4 (32 enodes) 1540326330.052 * * [misc]simplify: iters left: 3 (68 enodes) 1540326330.077 * * [misc]simplify: iters left: 2 (171 enodes) 1540326330.147 * * [misc]simplify: iters left: 1 (342 enodes) 1540326330.305 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1540326330.305 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1540326330.305 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1540326330.305 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1540326330.305 * [enter]simplify: Simplifying (* n 2) 1540326330.305 * * [misc]simplify: iters left: 2 (3 enodes) 1540326330.307 * * [misc]simplify: iters left: 1 (4 enodes) 1540326330.308 * [exit]simplify: Simplified to (* n 2) 1540326330.308 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1540326330.308 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1540326330.308 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540326330.309 * * [misc]simplify: iters left: 3 (6 enodes) 1540326330.310 * * [misc]simplify: iters left: 2 (7 enodes) 1540326330.313 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540326330.313 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1540326330.313 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1540326330.313 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326330.313 * * [misc]simplify: iters left: 5 (6 enodes) 1540326330.315 * * [misc]simplify: iters left: 4 (8 enodes) 1540326330.318 * * [misc]simplify: iters left: 3 (11 enodes) 1540326330.321 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326330.321 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1540326330.321 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1540326330.322 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326330.322 * * [misc]simplify: iters left: 5 (6 enodes) 1540326330.324 * * [misc]simplify: iters left: 4 (8 enodes) 1540326330.327 * * [misc]simplify: iters left: 3 (11 enodes) 1540326330.330 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326330.331 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1540326330.331 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1540326330.331 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326330.332 * * [misc]simplify: iters left: 4 (5 enodes) 1540326330.333 * * [misc]simplify: iters left: 3 (7 enodes) 1540326330.336 * * [misc]simplify: iters left: 2 (10 enodes) 1540326330.339 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326330.339 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1540326330.339 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1540326330.339 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540326330.340 * * [misc]simplify: iters left: 5 (7 enodes) 1540326330.342 * * [misc]simplify: iters left: 4 (10 enodes) 1540326330.345 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540326330.346 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1540326330.346 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1540326330.346 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540326330.346 * * [misc]simplify: iters left: 5 (7 enodes) 1540326330.349 * * [misc]simplify: iters left: 4 (10 enodes) 1540326330.352 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540326330.352 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1540326330.352 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1540326330.352 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540326330.353 * * [misc]simplify: iters left: 5 (7 enodes) 1540326330.355 * * [misc]simplify: iters left: 4 (9 enodes) 1540326330.358 * * [misc]simplify: iters left: 3 (12 enodes) 1540326330.361 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540326330.362 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540326330.362 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1540326330.362 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1540326330.362 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540326330.363 * * [misc]simplify: iters left: 3 (5 enodes) 1540326330.364 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540326330.364 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326330.364 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1540326330.365 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326330.365 * * [misc]simplify: iters left: 5 (6 enodes) 1540326330.367 * * [misc]simplify: iters left: 4 (8 enodes) 1540326330.370 * * [misc]simplify: iters left: 3 (11 enodes) 1540326330.373 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326330.373 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326330.373 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1540326330.373 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326330.373 * * [misc]simplify: iters left: 5 (6 enodes) 1540326330.375 * * [misc]simplify: iters left: 4 (8 enodes) 1540326330.378 * * [misc]simplify: iters left: 3 (11 enodes) 1540326330.382 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326330.382 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326330.382 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1540326330.382 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326330.382 * * [misc]simplify: iters left: 4 (5 enodes) 1540326330.387 * * [misc]simplify: iters left: 3 (7 enodes) 1540326330.389 * * [misc]simplify: iters left: 2 (10 enodes) 1540326330.392 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326330.392 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326330.392 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1540326330.393 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540326330.393 * * [misc]simplify: iters left: 5 (6 enodes) 1540326330.395 * * [misc]simplify: iters left: 4 (8 enodes) 1540326330.398 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540326330.398 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326330.398 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1540326330.398 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540326330.398 * * [misc]simplify: iters left: 5 (6 enodes) 1540326330.400 * * [misc]simplify: iters left: 4 (8 enodes) 1540326330.403 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540326330.403 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326330.403 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1540326330.403 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1540326330.403 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1540326330.403 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1540326330.403 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1540326330.403 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1540326330.404 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1540326330.404 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1540326330.404 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1540326330.404 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326330.406 * * [misc]simplify: iters left: 6 (18 enodes) 1540326330.415 * * [misc]simplify: iters left: 5 (36 enodes) 1540326330.433 * * [misc]simplify: iters left: 4 (90 enodes) 1540326330.503 * * [misc]simplify: iters left: 3 (297 enodes) 1540326330.847 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326330.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326330.847 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1540326330.848 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326330.850 * * [misc]simplify: iters left: 6 (18 enodes) 1540326330.856 * * [misc]simplify: iters left: 5 (36 enodes) 1540326330.868 * * [misc]simplify: iters left: 4 (90 enodes) 1540326330.930 * * [misc]simplify: iters left: 3 (297 enodes) 1540326331.199 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326331.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326331.199 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1540326331.199 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326331.201 * * [misc]simplify: iters left: 6 (18 enodes) 1540326331.205 * * [misc]simplify: iters left: 5 (34 enodes) 1540326331.222 * * [misc]simplify: iters left: 4 (78 enodes) 1540326331.273 * * [misc]simplify: iters left: 3 (217 enodes) 1540326331.435 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326331.435 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326331.435 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1540326331.435 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326331.436 * * [misc]simplify: iters left: 6 (17 enodes) 1540326331.441 * * [misc]simplify: iters left: 5 (30 enodes) 1540326331.450 * * [misc]simplify: iters left: 4 (65 enodes) 1540326331.472 * * [misc]simplify: iters left: 3 (170 enodes) 1540326331.532 * * [misc]simplify: iters left: 2 (315 enodes) 1540326331.772 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1540326331.772 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1540326331.772 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1540326331.772 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326331.773 * * [misc]simplify: iters left: 6 (18 enodes) 1540326331.778 * * [misc]simplify: iters left: 5 (33 enodes) 1540326331.787 * * [misc]simplify: iters left: 4 (68 enodes) 1540326331.825 * * [misc]simplify: iters left: 3 (204 enodes) 1540326332.076 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1540326332.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1540326332.076 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1540326332.076 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326332.078 * * [misc]simplify: iters left: 6 (18 enodes) 1540326332.086 * * [misc]simplify: iters left: 5 (33 enodes) 1540326332.094 * * [misc]simplify: iters left: 4 (68 enodes) 1540326332.125 * * [misc]simplify: iters left: 3 (204 enodes) 1540326332.374 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1540326332.374 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1540326332.374 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1540326332.374 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326332.376 * * [misc]simplify: iters left: 6 (18 enodes) 1540326332.385 * * [misc]simplify: iters left: 5 (31 enodes) 1540326332.401 * * [misc]simplify: iters left: 4 (56 enodes) 1540326332.430 * * [misc]simplify: iters left: 3 (127 enodes) 1540326332.612 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1540326332.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1540326332.612 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1540326332.612 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326332.614 * * [misc]simplify: iters left: 6 (17 enodes) 1540326332.621 * * [misc]simplify: iters left: 5 (27 enodes) 1540326332.632 * * [misc]simplify: iters left: 4 (44 enodes) 1540326332.652 * * [misc]simplify: iters left: 3 (84 enodes) 1540326332.691 * * [misc]simplify: iters left: 2 (222 enodes) 1540326332.914 * [exit]simplify: Simplified to (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))) 1540326332.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))))) 1540326332.915 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1540326332.915 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326332.916 * * [misc]simplify: iters left: 6 (19 enodes) 1540326332.922 * * [misc]simplify: iters left: 5 (38 enodes) 1540326332.931 * * [misc]simplify: iters left: 4 (77 enodes) 1540326332.982 * * [misc]simplify: iters left: 3 (215 enodes) 1540326333.271 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326333.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326333.271 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1540326333.272 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326333.274 * * [misc]simplify: iters left: 6 (19 enodes) 1540326333.284 * * [misc]simplify: iters left: 5 (38 enodes) 1540326333.299 * * [misc]simplify: iters left: 4 (77 enodes) 1540326333.332 * * [misc]simplify: iters left: 3 (215 enodes) 1540326333.516 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326333.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326333.516 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1540326333.517 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326333.518 * * [misc]simplify: iters left: 6 (19 enodes) 1540326333.523 * * [misc]simplify: iters left: 5 (36 enodes) 1540326333.537 * * [misc]simplify: iters left: 4 (65 enodes) 1540326333.564 * * [misc]simplify: iters left: 3 (130 enodes) 1540326333.676 * * [misc]simplify: iters left: 2 (462 enodes) 1540326334.439 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1540326334.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1540326334.439 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1540326334.439 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326334.441 * * [misc]simplify: iters left: 6 (18 enodes) 1540326334.449 * * [misc]simplify: iters left: 5 (32 enodes) 1540326334.455 * * [misc]simplify: iters left: 4 (47 enodes) 1540326334.465 * * [misc]simplify: iters left: 3 (73 enodes) 1540326334.484 * * [misc]simplify: iters left: 2 (156 enodes) 1540326334.680 * [exit]simplify: Simplified to (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1540326334.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1540326334.680 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1540326334.680 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326334.682 * * [misc]simplify: iters left: 6 (19 enodes) 1540326334.688 * * [misc]simplify: iters left: 5 (40 enodes) 1540326334.708 * * [misc]simplify: iters left: 4 (82 enodes) 1540326334.743 * * [misc]simplify: iters left: 3 (210 enodes) 1540326334.950 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326334.950 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326334.950 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1540326334.950 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540326334.952 * * [misc]simplify: iters left: 6 (19 enodes) 1540326334.960 * * [misc]simplify: iters left: 5 (40 enodes) 1540326334.970 * * [misc]simplify: iters left: 4 (82 enodes) 1540326335.012 * * [misc]simplify: iters left: 3 (210 enodes) 1540326335.279 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326335.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326335.279 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1540326335.279 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326335.281 * * [misc]simplify: iters left: 6 (19 enodes) 1540326335.292 * * [misc]simplify: iters left: 5 (38 enodes) 1540326335.309 * * [misc]simplify: iters left: 4 (70 enodes) 1540326335.342 * * [misc]simplify: iters left: 3 (133 enodes) 1540326335.473 * * [misc]simplify: iters left: 2 (490 enodes) 1540326336.797 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540326336.797 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540326336.797 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1540326336.797 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326336.799 * * [misc]simplify: iters left: 6 (18 enodes) 1540326336.810 * * [misc]simplify: iters left: 5 (34 enodes) 1540326336.820 * * [misc]simplify: iters left: 4 (56 enodes) 1540326336.832 * * [misc]simplify: iters left: 3 (83 enodes) 1540326336.862 * * [misc]simplify: iters left: 2 (189 enodes) 1540326337.074 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))) 1540326337.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))))) 1540326337.075 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1540326337.075 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1540326337.075 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1540326337.075 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326337.078 * * [misc]simplify: iters left: 6 (22 enodes) 1540326337.091 * * [misc]simplify: iters left: 5 (49 enodes) 1540326337.124 * * [misc]simplify: iters left: 4 (146 enodes) 1540326337.322 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326337.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326337.322 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1540326337.322 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326337.323 * * [misc]simplify: iters left: 6 (20 enodes) 1540326337.330 * * [misc]simplify: iters left: 5 (48 enodes) 1540326337.352 * * [misc]simplify: iters left: 4 (131 enodes) 1540326337.571 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326337.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ k (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326337.571 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1540326337.571 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1540326337.571 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1540326337.571 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1540326337.572 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1540326337.572 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326337.574 * * [misc]simplify: iters left: 6 (20 enodes) 1540326337.584 * * [misc]simplify: iters left: 5 (33 enodes) 1540326337.596 * * [misc]simplify: iters left: 4 (46 enodes) 1540326337.612 * * [misc]simplify: iters left: 3 (53 enodes) 1540326337.628 * * [misc]simplify: iters left: 2 (56 enodes) 1540326337.649 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326337.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326337.650 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326337.651 * * [misc]simplify: iters left: 6 (18 enodes) 1540326337.659 * * [misc]simplify: iters left: 5 (25 enodes) 1540326337.667 * * [misc]simplify: iters left: 4 (29 enodes) 1540326337.678 * * [misc]simplify: iters left: 3 (33 enodes) 1540326337.688 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326337.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326337.688 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1540326337.689 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326337.691 * * [misc]simplify: iters left: 6 (19 enodes) 1540326337.699 * * [misc]simplify: iters left: 5 (28 enodes) 1540326337.711 * * [misc]simplify: iters left: 4 (34 enodes) 1540326337.722 * * [misc]simplify: iters left: 3 (39 enodes) 1540326337.736 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326337.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326337.736 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326337.738 * * [misc]simplify: iters left: 6 (18 enodes) 1540326337.745 * * [misc]simplify: iters left: 5 (25 enodes) 1540326337.749 * * [misc]simplify: iters left: 4 (29 enodes) 1540326337.754 * * [misc]simplify: iters left: 3 (33 enodes) 1540326337.759 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326337.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326337.759 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1540326337.759 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326337.761 * * [misc]simplify: iters left: 6 (20 enodes) 1540326337.766 * * [misc]simplify: iters left: 5 (34 enodes) 1540326337.773 * * [misc]simplify: iters left: 4 (53 enodes) 1540326337.786 * * [misc]simplify: iters left: 3 (98 enodes) 1540326337.810 * * [misc]simplify: iters left: 2 (155 enodes) 1540326337.842 * * [misc]simplify: iters left: 1 (186 enodes) 1540326337.890 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326337.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326337.890 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326337.892 * * [misc]simplify: iters left: 6 (19 enodes) 1540326337.896 * * [misc]simplify: iters left: 5 (29 enodes) 1540326337.901 * * [misc]simplify: iters left: 4 (34 enodes) 1540326337.906 * * [misc]simplify: iters left: 3 (40 enodes) 1540326337.913 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326337.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326337.913 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1540326337.913 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326337.914 * * [misc]simplify: iters left: 6 (20 enodes) 1540326337.919 * * [misc]simplify: iters left: 5 (34 enodes) 1540326337.926 * * [misc]simplify: iters left: 4 (53 enodes) 1540326337.949 * * [misc]simplify: iters left: 3 (98 enodes) 1540326337.971 * * [misc]simplify: iters left: 2 (155 enodes) 1540326338.029 * * [misc]simplify: iters left: 1 (186 enodes) 1540326338.073 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326338.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326338.074 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326338.075 * * [misc]simplify: iters left: 6 (19 enodes) 1540326338.079 * * [misc]simplify: iters left: 5 (29 enodes) 1540326338.084 * * [misc]simplify: iters left: 4 (34 enodes) 1540326338.091 * * [misc]simplify: iters left: 3 (40 enodes) 1540326338.105 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326338.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326338.106 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1540326338.106 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540326338.108 * * [misc]simplify: iters left: 6 (19 enodes) 1540326338.117 * * [misc]simplify: iters left: 5 (31 enodes) 1540326338.128 * * [misc]simplify: iters left: 4 (50 enodes) 1540326338.153 * * [misc]simplify: iters left: 3 (95 enodes) 1540326338.184 * * [misc]simplify: iters left: 2 (150 enodes) 1540326338.225 * * [misc]simplify: iters left: 1 (181 enodes) 1540326338.283 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326338.283 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326338.284 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326338.286 * * [misc]simplify: iters left: 6 (16 enodes) 1540326338.293 * * [misc]simplify: iters left: 5 (24 enodes) 1540326338.298 * * [misc]simplify: iters left: 4 (31 enodes) 1540326338.303 * * [misc]simplify: iters left: 3 (37 enodes) 1540326338.309 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326338.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326338.309 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1540326338.309 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326338.310 * * [misc]simplify: iters left: 6 (22 enodes) 1540326338.316 * * [misc]simplify: iters left: 5 (39 enodes) 1540326338.325 * * [misc]simplify: iters left: 4 (74 enodes) 1540326338.360 * * [misc]simplify: iters left: 3 (149 enodes) 1540326338.442 * * [misc]simplify: iters left: 2 (277 enodes) 1540326338.584 * * [misc]simplify: iters left: 1 (387 enodes) 1540326338.815 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1540326338.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326338.816 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326338.818 * * [misc]simplify: iters left: 6 (19 enodes) 1540326338.826 * * [misc]simplify: iters left: 5 (28 enodes) 1540326338.831 * * [misc]simplify: iters left: 4 (35 enodes) 1540326338.838 * * [misc]simplify: iters left: 3 (41 enodes) 1540326338.844 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540326338.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540326338.844 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1540326338.845 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326338.846 * * [misc]simplify: iters left: 6 (21 enodes) 1540326338.851 * * [misc]simplify: iters left: 5 (34 enodes) 1540326338.859 * * [misc]simplify: iters left: 4 (53 enodes) 1540326338.884 * * [misc]simplify: iters left: 3 (98 enodes) 1540326338.921 * * [misc]simplify: iters left: 2 (151 enodes) 1540326338.965 * * [misc]simplify: iters left: 1 (184 enodes) 1540326339.045 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326339.045 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326339.045 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326339.047 * * [misc]simplify: iters left: 6 (19 enodes) 1540326339.051 * * [misc]simplify: iters left: 5 (28 enodes) 1540326339.056 * * [misc]simplify: iters left: 4 (35 enodes) 1540326339.062 * * [misc]simplify: iters left: 3 (41 enodes) 1540326339.075 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540326339.075 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540326339.075 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1540326339.076 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540326339.077 * * [misc]simplify: iters left: 6 (17 enodes) 1540326339.085 * * [misc]simplify: iters left: 5 (29 enodes) 1540326339.094 * * [misc]simplify: iters left: 4 (51 enodes) 1540326339.107 * * [misc]simplify: iters left: 3 (95 enodes) 1540326339.163 * * [misc]simplify: iters left: 2 (277 enodes) 1540326339.412 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540326339.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326339.413 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326339.414 * * [misc]simplify: iters left: 6 (18 enodes) 1540326339.418 * * [misc]simplify: iters left: 5 (27 enodes) 1540326339.423 * * [misc]simplify: iters left: 4 (34 enodes) 1540326339.429 * * [misc]simplify: iters left: 3 (40 enodes) 1540326339.435 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326339.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326339.435 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1540326339.436 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326339.437 * * [misc]simplify: iters left: 6 (19 enodes) 1540326339.441 * * [misc]simplify: iters left: 5 (31 enodes) 1540326339.448 * * [misc]simplify: iters left: 4 (42 enodes) 1540326339.457 * * [misc]simplify: iters left: 3 (58 enodes) 1540326339.467 * * [misc]simplify: iters left: 2 (70 enodes) 1540326339.487 * * [misc]simplify: iters left: 1 (76 enodes) 1540326339.518 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540326339.518 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326339.519 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326339.521 * * [misc]simplify: iters left: 6 (19 enodes) 1540326339.531 * * [misc]simplify: iters left: 5 (29 enodes) 1540326339.540 * * [misc]simplify: iters left: 4 (34 enodes) 1540326339.551 * * [misc]simplify: iters left: 3 (40 enodes) 1540326339.566 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326339.566 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326339.566 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1540326339.566 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326339.568 * * [misc]simplify: iters left: 6 (19 enodes) 1540326339.577 * * [misc]simplify: iters left: 5 (31 enodes) 1540326339.583 * * [misc]simplify: iters left: 4 (42 enodes) 1540326339.591 * * [misc]simplify: iters left: 3 (58 enodes) 1540326339.600 * * [misc]simplify: iters left: 2 (70 enodes) 1540326339.610 * * [misc]simplify: iters left: 1 (76 enodes) 1540326339.625 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540326339.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326339.625 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326339.626 * * [misc]simplify: iters left: 6 (19 enodes) 1540326339.635 * * [misc]simplify: iters left: 5 (29 enodes) 1540326339.644 * * [misc]simplify: iters left: 4 (34 enodes) 1540326339.658 * * [misc]simplify: iters left: 3 (40 enodes) 1540326339.671 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326339.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326339.671 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1540326339.672 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326339.674 * * [misc]simplify: iters left: 6 (18 enodes) 1540326339.683 * * [misc]simplify: iters left: 5 (28 enodes) 1540326339.693 * * [misc]simplify: iters left: 4 (39 enodes) 1540326339.708 * * [misc]simplify: iters left: 3 (55 enodes) 1540326339.724 * * [misc]simplify: iters left: 2 (67 enodes) 1540326339.743 * * [misc]simplify: iters left: 1 (73 enodes) 1540326339.772 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326339.772 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326339.773 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326339.774 * * [misc]simplify: iters left: 6 (16 enodes) 1540326339.783 * * [misc]simplify: iters left: 5 (24 enodes) 1540326339.791 * * [misc]simplify: iters left: 4 (31 enodes) 1540326339.802 * * [misc]simplify: iters left: 3 (37 enodes) 1540326339.808 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326339.809 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326339.809 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1540326339.809 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326339.810 * * [misc]simplify: iters left: 6 (21 enodes) 1540326339.815 * * [misc]simplify: iters left: 5 (34 enodes) 1540326339.821 * * [misc]simplify: iters left: 4 (49 enodes) 1540326339.835 * * [misc]simplify: iters left: 3 (79 enodes) 1540326339.864 * * [misc]simplify: iters left: 2 (118 enodes) 1540326339.889 * * [misc]simplify: iters left: 1 (151 enodes) 1540326339.960 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540326339.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326339.960 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326339.962 * * [misc]simplify: iters left: 6 (19 enodes) 1540326339.971 * * [misc]simplify: iters left: 5 (28 enodes) 1540326339.982 * * [misc]simplify: iters left: 4 (35 enodes) 1540326339.994 * * [misc]simplify: iters left: 3 (41 enodes) 1540326340.009 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326340.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540326340.009 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1540326340.009 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326340.012 * * [misc]simplify: iters left: 6 (20 enodes) 1540326340.021 * * [misc]simplify: iters left: 5 (31 enodes) 1540326340.031 * * [misc]simplify: iters left: 4 (42 enodes) 1540326340.047 * * [misc]simplify: iters left: 3 (58 enodes) 1540326340.064 * * [misc]simplify: iters left: 2 (70 enodes) 1540326340.080 * * [misc]simplify: iters left: 1 (76 enodes) 1540326340.098 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540326340.098 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326340.098 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326340.099 * * [misc]simplify: iters left: 6 (19 enodes) 1540326340.103 * * [misc]simplify: iters left: 5 (28 enodes) 1540326340.108 * * [misc]simplify: iters left: 4 (35 enodes) 1540326340.114 * * [misc]simplify: iters left: 3 (41 enodes) 1540326340.123 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326340.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540326340.123 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1540326340.123 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) 1)) 1540326340.125 * * [misc]simplify: iters left: 6 (16 enodes) 1540326340.132 * * [misc]simplify: iters left: 5 (26 enodes) 1540326340.142 * * [misc]simplify: iters left: 4 (38 enodes) 1540326340.155 * * [misc]simplify: iters left: 3 (50 enodes) 1540326340.168 * * [misc]simplify: iters left: 2 (51 enodes) 1540326340.179 * * [misc]simplify: iters left: 1 (57 enodes) 1540326340.197 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326340.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326340.198 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326340.199 * * [misc]simplify: iters left: 6 (18 enodes) 1540326340.210 * * [misc]simplify: iters left: 5 (27 enodes) 1540326340.219 * * [misc]simplify: iters left: 4 (34 enodes) 1540326340.231 * * [misc]simplify: iters left: 3 (40 enodes) 1540326340.243 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326340.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326340.243 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1540326340.243 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1540326340.245 * * [misc]simplify: iters left: 6 (17 enodes) 1540326340.253 * * [misc]simplify: iters left: 5 (29 enodes) 1540326340.264 * * [misc]simplify: iters left: 4 (40 enodes) 1540326340.280 * * [misc]simplify: iters left: 3 (59 enodes) 1540326340.299 * * [misc]simplify: iters left: 2 (81 enodes) 1540326340.335 * * [misc]simplify: iters left: 1 (160 enodes) 1540326340.384 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326340.384 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326340.384 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326340.386 * * [misc]simplify: iters left: 6 (18 enodes) 1540326340.394 * * [misc]simplify: iters left: 5 (28 enodes) 1540326340.403 * * [misc]simplify: iters left: 4 (33 enodes) 1540326340.414 * * [misc]simplify: iters left: 3 (39 enodes) 1540326340.426 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540326340.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540326340.426 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1540326340.426 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1540326340.428 * * [misc]simplify: iters left: 6 (17 enodes) 1540326340.436 * * [misc]simplify: iters left: 5 (29 enodes) 1540326340.445 * * [misc]simplify: iters left: 4 (40 enodes) 1540326340.453 * * [misc]simplify: iters left: 3 (59 enodes) 1540326340.463 * * [misc]simplify: iters left: 2 (81 enodes) 1540326340.497 * * [misc]simplify: iters left: 1 (160 enodes) 1540326340.584 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326340.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326340.585 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326340.586 * * [misc]simplify: iters left: 6 (18 enodes) 1540326340.595 * * [misc]simplify: iters left: 5 (28 enodes) 1540326340.605 * * [misc]simplify: iters left: 4 (33 enodes) 1540326340.616 * * [misc]simplify: iters left: 3 (39 enodes) 1540326340.628 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540326340.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540326340.628 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1540326340.628 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540326340.630 * * [misc]simplify: iters left: 6 (16 enodes) 1540326340.637 * * [misc]simplify: iters left: 5 (26 enodes) 1540326340.647 * * [misc]simplify: iters left: 4 (37 enodes) 1540326340.663 * * [misc]simplify: iters left: 3 (56 enodes) 1540326340.673 * * [misc]simplify: iters left: 2 (78 enodes) 1540326340.693 * * [misc]simplify: iters left: 1 (140 enodes) 1540326340.758 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540326340.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326340.758 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326340.760 * * [misc]simplify: iters left: 6 (15 enodes) 1540326340.764 * * [misc]simplify: iters left: 5 (23 enodes) 1540326340.768 * * [misc]simplify: iters left: 4 (30 enodes) 1540326340.775 * * [misc]simplify: iters left: 3 (36 enodes) 1540326340.781 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326340.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326340.781 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1540326340.781 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326340.782 * * [misc]simplify: iters left: 6 (19 enodes) 1540326340.787 * * [misc]simplify: iters left: 5 (32 enodes) 1540326340.793 * * [misc]simplify: iters left: 4 (47 enodes) 1540326340.804 * * [misc]simplify: iters left: 3 (78 enodes) 1540326340.833 * * [misc]simplify: iters left: 2 (146 enodes) 1540326340.923 * * [misc]simplify: iters left: 1 (394 enodes) 1540326341.238 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326341.238 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326341.239 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.244 * * [misc]simplify: iters left: 5 (27 enodes) 1540326341.248 * * [misc]simplify: iters left: 4 (34 enodes) 1540326341.254 * * [misc]simplify: iters left: 3 (40 enodes) 1540326341.266 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.266 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326341.266 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1540326341.266 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326341.268 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.276 * * [misc]simplify: iters left: 5 (29 enodes) 1540326341.286 * * [misc]simplify: iters left: 4 (40 enodes) 1540326341.303 * * [misc]simplify: iters left: 3 (59 enodes) 1540326341.324 * * [misc]simplify: iters left: 2 (81 enodes) 1540326341.344 * * [misc]simplify: iters left: 1 (161 enodes) 1540326341.395 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326341.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326341.395 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326341.397 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.401 * * [misc]simplify: iters left: 5 (27 enodes) 1540326341.406 * * [misc]simplify: iters left: 4 (34 enodes) 1540326341.412 * * [misc]simplify: iters left: 3 (40 enodes) 1540326341.419 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.419 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326341.419 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1540326341.420 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1540326341.420 * * [misc]simplify: iters left: 6 (14 enodes) 1540326341.423 * * [misc]simplify: iters left: 5 (21 enodes) 1540326341.428 * * [misc]simplify: iters left: 4 (29 enodes) 1540326341.433 * * [misc]simplify: iters left: 3 (39 enodes) 1540326341.439 * * [misc]simplify: iters left: 2 (51 enodes) 1540326341.448 * * [misc]simplify: iters left: 1 (79 enodes) 1540326341.460 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540326341.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326341.460 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326341.461 * * [misc]simplify: iters left: 6 (17 enodes) 1540326341.465 * * [misc]simplify: iters left: 5 (26 enodes) 1540326341.471 * * [misc]simplify: iters left: 4 (33 enodes) 1540326341.477 * * [misc]simplify: iters left: 3 (39 enodes) 1540326341.483 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326341.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326341.483 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1540326341.483 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1540326341.484 * * [misc]simplify: iters left: 6 (13 enodes) 1540326341.487 * * [misc]simplify: iters left: 5 (21 enodes) 1540326341.492 * * [misc]simplify: iters left: 4 (31 enodes) 1540326341.497 * * [misc]simplify: iters left: 3 (46 enodes) 1540326341.506 * * [misc]simplify: iters left: 2 (72 enodes) 1540326341.517 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540326341.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326341.517 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326341.518 * * [misc]simplify: iters left: 6 (17 enodes) 1540326341.522 * * [misc]simplify: iters left: 5 (26 enodes) 1540326341.527 * * [misc]simplify: iters left: 4 (33 enodes) 1540326341.533 * * [misc]simplify: iters left: 3 (39 enodes) 1540326341.539 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326341.539 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326341.539 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1540326341.539 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1540326341.540 * * [misc]simplify: iters left: 6 (14 enodes) 1540326341.545 * * [misc]simplify: iters left: 5 (22 enodes) 1540326341.549 * * [misc]simplify: iters left: 4 (28 enodes) 1540326341.554 * * [misc]simplify: iters left: 3 (33 enodes) 1540326341.559 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540326341.559 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326341.559 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540326341.560 * * [misc]simplify: iters left: 6 (16 enodes) 1540326341.564 * * [misc]simplify: iters left: 5 (25 enodes) 1540326341.569 * * [misc]simplify: iters left: 4 (32 enodes) 1540326341.575 * * [misc]simplify: iters left: 3 (45 enodes) 1540326341.582 * * [misc]simplify: iters left: 2 (47 enodes) 1540326341.587 * * [misc]simplify: iters left: 1 (52 enodes) 1540326341.594 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540326341.594 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1540326341.594 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1540326341.595 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540326341.596 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.600 * * [misc]simplify: iters left: 5 (30 enodes) 1540326341.606 * * [misc]simplify: iters left: 4 (41 enodes) 1540326341.614 * * [misc]simplify: iters left: 3 (57 enodes) 1540326341.624 * * [misc]simplify: iters left: 2 (69 enodes) 1540326341.644 * * [misc]simplify: iters left: 1 (75 enodes) 1540326341.673 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1540326341.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1540326341.673 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1540326341.675 * * [misc]simplify: iters left: 6 (15 enodes) 1540326341.683 * * [misc]simplify: iters left: 5 (22 enodes) 1540326341.690 * * [misc]simplify: iters left: 4 (26 enodes) 1540326341.698 * * [misc]simplify: iters left: 3 (30 enodes) 1540326341.708 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540326341.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540326341.708 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1540326341.708 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326341.710 * * [misc]simplify: iters left: 6 (19 enodes) 1540326341.718 * * [misc]simplify: iters left: 5 (28 enodes) 1540326341.727 * * [misc]simplify: iters left: 4 (32 enodes) 1540326341.738 * * [misc]simplify: iters left: 3 (36 enodes) 1540326341.753 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326341.753 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326341.755 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.761 * * [misc]simplify: iters left: 5 (25 enodes) 1540326341.765 * * [misc]simplify: iters left: 4 (29 enodes) 1540326341.770 * * [misc]simplify: iters left: 3 (33 enodes) 1540326341.775 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326341.775 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1540326341.775 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326341.776 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.780 * * [misc]simplify: iters left: 5 (25 enodes) 1540326341.784 * * [misc]simplify: iters left: 4 (29 enodes) 1540326341.789 * * [misc]simplify: iters left: 3 (33 enodes) 1540326341.794 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.794 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326341.794 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326341.796 * * [misc]simplify: iters left: 6 (18 enodes) 1540326341.800 * * [misc]simplify: iters left: 5 (25 enodes) 1540326341.807 * * [misc]simplify: iters left: 4 (29 enodes) 1540326341.817 * * [misc]simplify: iters left: 3 (33 enodes) 1540326341.827 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326341.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326341.827 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1540326341.828 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326341.829 * * [misc]simplify: iters left: 6 (19 enodes) 1540326341.839 * * [misc]simplify: iters left: 5 (31 enodes) 1540326341.852 * * [misc]simplify: iters left: 4 (42 enodes) 1540326341.868 * * [misc]simplify: iters left: 3 (58 enodes) 1540326341.885 * * [misc]simplify: iters left: 2 (63 enodes) 1540326341.901 * * [misc]simplify: iters left: 1 (70 enodes) 1540326341.924 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1540326341.926 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326341.926 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326341.928 * * [misc]simplify: iters left: 6 (19 enodes) 1540326341.936 * * [misc]simplify: iters left: 5 (29 enodes) 1540326341.946 * * [misc]simplify: iters left: 4 (34 enodes) 1540326341.957 * * [misc]simplify: iters left: 3 (40 enodes) 1540326341.971 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326341.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326341.971 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1540326341.971 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326341.973 * * [misc]simplify: iters left: 6 (19 enodes) 1540326341.982 * * [misc]simplify: iters left: 5 (31 enodes) 1540326341.995 * * [misc]simplify: iters left: 4 (42 enodes) 1540326342.012 * * [misc]simplify: iters left: 3 (58 enodes) 1540326342.029 * * [misc]simplify: iters left: 2 (63 enodes) 1540326342.045 * * [misc]simplify: iters left: 1 (70 enodes) 1540326342.069 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1540326342.069 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326342.069 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326342.071 * * [misc]simplify: iters left: 6 (19 enodes) 1540326342.080 * * [misc]simplify: iters left: 5 (29 enodes) 1540326342.089 * * [misc]simplify: iters left: 4 (34 enodes) 1540326342.101 * * [misc]simplify: iters left: 3 (40 enodes) 1540326342.114 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326342.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326342.114 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1540326342.114 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540326342.116 * * [misc]simplify: iters left: 6 (18 enodes) 1540326342.124 * * [misc]simplify: iters left: 5 (28 enodes) 1540326342.136 * * [misc]simplify: iters left: 4 (39 enodes) 1540326342.151 * * [misc]simplify: iters left: 3 (55 enodes) 1540326342.167 * * [misc]simplify: iters left: 2 (60 enodes) 1540326342.183 * * [misc]simplify: iters left: 1 (67 enodes) 1540326342.198 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540326342.198 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326342.198 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326342.199 * * [misc]simplify: iters left: 6 (16 enodes) 1540326342.203 * * [misc]simplify: iters left: 5 (24 enodes) 1540326342.207 * * [misc]simplify: iters left: 4 (31 enodes) 1540326342.213 * * [misc]simplify: iters left: 3 (37 enodes) 1540326342.225 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326342.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326342.226 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1540326342.226 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326342.228 * * [misc]simplify: iters left: 6 (21 enodes) 1540326342.233 * * [misc]simplify: iters left: 5 (36 enodes) 1540326342.242 * * [misc]simplify: iters left: 4 (58 enodes) 1540326342.254 * * [misc]simplify: iters left: 3 (85 enodes) 1540326342.275 * * [misc]simplify: iters left: 2 (115 enodes) 1540326342.298 * * [misc]simplify: iters left: 1 (139 enodes) 1540326342.348 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326342.348 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326342.348 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326342.349 * * [misc]simplify: iters left: 6 (19 enodes) 1540326342.355 * * [misc]simplify: iters left: 5 (28 enodes) 1540326342.365 * * [misc]simplify: iters left: 4 (35 enodes) 1540326342.377 * * [misc]simplify: iters left: 3 (41 enodes) 1540326342.390 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540326342.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540326342.391 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1540326342.391 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326342.392 * * [misc]simplify: iters left: 6 (20 enodes) 1540326342.397 * * [misc]simplify: iters left: 5 (31 enodes) 1540326342.402 * * [misc]simplify: iters left: 4 (42 enodes) 1540326342.410 * * [misc]simplify: iters left: 3 (58 enodes) 1540326342.420 * * [misc]simplify: iters left: 2 (63 enodes) 1540326342.428 * * [misc]simplify: iters left: 1 (70 enodes) 1540326342.442 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326342.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326342.442 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326342.443 * * [misc]simplify: iters left: 6 (19 enodes) 1540326342.451 * * [misc]simplify: iters left: 5 (28 enodes) 1540326342.461 * * [misc]simplify: iters left: 4 (35 enodes) 1540326342.473 * * [misc]simplify: iters left: 3 (41 enodes) 1540326342.488 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540326342.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540326342.488 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1540326342.489 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540326342.490 * * [misc]simplify: iters left: 6 (16 enodes) 1540326342.498 * * [misc]simplify: iters left: 5 (26 enodes) 1540326342.509 * * [misc]simplify: iters left: 4 (41 enodes) 1540326342.525 * * [misc]simplify: iters left: 3 (63 enodes) 1540326342.553 * * [misc]simplify: iters left: 2 (129 enodes) 1540326342.589 * * [misc]simplify: iters left: 1 (190 enodes) 1540326342.610 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326342.611 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326342.611 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326342.612 * * [misc]simplify: iters left: 6 (18 enodes) 1540326342.616 * * [misc]simplify: iters left: 5 (27 enodes) 1540326342.620 * * [misc]simplify: iters left: 4 (34 enodes) 1540326342.626 * * [misc]simplify: iters left: 3 (40 enodes) 1540326342.632 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326342.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326342.632 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1540326342.632 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326342.633 * * [misc]simplify: iters left: 6 (18 enodes) 1540326342.638 * * [misc]simplify: iters left: 5 (28 enodes) 1540326342.645 * * [misc]simplify: iters left: 4 (35 enodes) 1540326342.657 * * [misc]simplify: iters left: 3 (41 enodes) 1540326342.669 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540326342.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326342.669 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326342.671 * * [misc]simplify: iters left: 6 (19 enodes) 1540326342.676 * * [misc]simplify: iters left: 5 (29 enodes) 1540326342.680 * * [misc]simplify: iters left: 4 (34 enodes) 1540326342.688 * * [misc]simplify: iters left: 3 (40 enodes) 1540326342.694 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326342.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326342.694 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1540326342.694 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326342.695 * * [misc]simplify: iters left: 6 (18 enodes) 1540326342.700 * * [misc]simplify: iters left: 5 (28 enodes) 1540326342.710 * * [misc]simplify: iters left: 4 (35 enodes) 1540326342.722 * * [misc]simplify: iters left: 3 (41 enodes) 1540326342.735 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540326342.735 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326342.735 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326342.737 * * [misc]simplify: iters left: 6 (19 enodes) 1540326342.745 * * [misc]simplify: iters left: 5 (29 enodes) 1540326342.755 * * [misc]simplify: iters left: 4 (34 enodes) 1540326342.767 * * [misc]simplify: iters left: 3 (40 enodes) 1540326342.780 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326342.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326342.780 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1540326342.781 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326342.782 * * [misc]simplify: iters left: 6 (17 enodes) 1540326342.790 * * [misc]simplify: iters left: 5 (25 enodes) 1540326342.799 * * [misc]simplify: iters left: 4 (32 enodes) 1540326342.811 * * [misc]simplify: iters left: 3 (38 enodes) 1540326342.825 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326342.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326342.825 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326342.827 * * [misc]simplify: iters left: 6 (16 enodes) 1540326342.834 * * [misc]simplify: iters left: 5 (24 enodes) 1540326342.843 * * [misc]simplify: iters left: 4 (31 enodes) 1540326342.854 * * [misc]simplify: iters left: 3 (37 enodes) 1540326342.866 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326342.866 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326342.866 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1540326342.866 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326342.869 * * [misc]simplify: iters left: 6 (20 enodes) 1540326342.878 * * [misc]simplify: iters left: 5 (31 enodes) 1540326342.889 * * [misc]simplify: iters left: 4 (40 enodes) 1540326342.903 * * [misc]simplify: iters left: 3 (53 enodes) 1540326342.920 * * [misc]simplify: iters left: 2 (61 enodes) 1540326342.935 * * [misc]simplify: iters left: 1 (63 enodes) 1540326342.964 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326342.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326342.965 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326342.967 * * [misc]simplify: iters left: 6 (19 enodes) 1540326342.975 * * [misc]simplify: iters left: 5 (28 enodes) 1540326342.985 * * [misc]simplify: iters left: 4 (35 enodes) 1540326342.996 * * [misc]simplify: iters left: 3 (41 enodes) 1540326343.011 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326343.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540326343.011 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1540326343.011 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.013 * * [misc]simplify: iters left: 6 (19 enodes) 1540326343.021 * * [misc]simplify: iters left: 5 (28 enodes) 1540326343.031 * * [misc]simplify: iters left: 4 (35 enodes) 1540326343.043 * * [misc]simplify: iters left: 3 (41 enodes) 1540326343.057 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326343.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326343.057 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.059 * * [misc]simplify: iters left: 6 (19 enodes) 1540326343.068 * * [misc]simplify: iters left: 5 (28 enodes) 1540326343.075 * * [misc]simplify: iters left: 4 (35 enodes) 1540326343.081 * * [misc]simplify: iters left: 3 (41 enodes) 1540326343.089 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326343.089 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540326343.089 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1540326343.089 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1540326343.090 * * [misc]simplify: iters left: 6 (15 enodes) 1540326343.094 * * [misc]simplify: iters left: 5 (23 enodes) 1540326343.099 * * [misc]simplify: iters left: 4 (34 enodes) 1540326343.104 * * [misc]simplify: iters left: 3 (39 enodes) 1540326343.111 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326343.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326343.112 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326343.114 * * [misc]simplify: iters left: 6 (18 enodes) 1540326343.122 * * [misc]simplify: iters left: 5 (27 enodes) 1540326343.131 * * [misc]simplify: iters left: 4 (34 enodes) 1540326343.139 * * [misc]simplify: iters left: 3 (40 enodes) 1540326343.145 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326343.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326343.146 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1540326343.146 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1540326343.147 * * [misc]simplify: iters left: 6 (16 enodes) 1540326343.150 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.155 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.162 * * [misc]simplify: iters left: 3 (46 enodes) 1540326343.172 * * [misc]simplify: iters left: 2 (48 enodes) 1540326343.186 * * [misc]simplify: iters left: 1 (53 enodes) 1540326343.201 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540326343.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326343.201 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326343.203 * * [misc]simplify: iters left: 6 (18 enodes) 1540326343.211 * * [misc]simplify: iters left: 5 (28 enodes) 1540326343.220 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.232 * * [misc]simplify: iters left: 3 (39 enodes) 1540326343.244 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540326343.244 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540326343.244 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1540326343.245 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1540326343.246 * * [misc]simplify: iters left: 6 (16 enodes) 1540326343.254 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.262 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.269 * * [misc]simplify: iters left: 3 (46 enodes) 1540326343.276 * * [misc]simplify: iters left: 2 (48 enodes) 1540326343.281 * * [misc]simplify: iters left: 1 (53 enodes) 1540326343.288 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540326343.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326343.289 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326343.290 * * [misc]simplify: iters left: 6 (18 enodes) 1540326343.296 * * [misc]simplify: iters left: 5 (28 enodes) 1540326343.300 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.306 * * [misc]simplify: iters left: 3 (39 enodes) 1540326343.313 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540326343.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540326343.313 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1540326343.313 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540326343.314 * * [misc]simplify: iters left: 6 (15 enodes) 1540326343.319 * * [misc]simplify: iters left: 5 (23 enodes) 1540326343.327 * * [misc]simplify: iters left: 4 (30 enodes) 1540326343.333 * * [misc]simplify: iters left: 3 (43 enodes) 1540326343.339 * * [misc]simplify: iters left: 2 (45 enodes) 1540326343.344 * * [misc]simplify: iters left: 1 (50 enodes) 1540326343.351 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540326343.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326343.351 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326343.352 * * [misc]simplify: iters left: 6 (15 enodes) 1540326343.356 * * [misc]simplify: iters left: 5 (23 enodes) 1540326343.360 * * [misc]simplify: iters left: 4 (30 enodes) 1540326343.365 * * [misc]simplify: iters left: 3 (36 enodes) 1540326343.370 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326343.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326343.371 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1540326343.371 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326343.374 * * [misc]simplify: iters left: 6 (18 enodes) 1540326343.378 * * [misc]simplify: iters left: 5 (29 enodes) 1540326343.383 * * [misc]simplify: iters left: 4 (38 enodes) 1540326343.391 * * [misc]simplify: iters left: 3 (55 enodes) 1540326343.400 * * [misc]simplify: iters left: 2 (64 enodes) 1540326343.413 * * [misc]simplify: iters left: 1 (74 enodes) 1540326343.444 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326343.445 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540326343.455 * * [misc]simplify: iters left: 5 (27 enodes) 1540326343.464 * * [misc]simplify: iters left: 4 (34 enodes) 1540326343.475 * * [misc]simplify: iters left: 3 (40 enodes) 1540326343.492 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326343.492 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326343.492 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1540326343.492 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.494 * * [misc]simplify: iters left: 6 (17 enodes) 1540326343.502 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.511 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.523 * * [misc]simplify: iters left: 3 (46 enodes) 1540326343.535 * * [misc]simplify: iters left: 2 (48 enodes) 1540326343.546 * * [misc]simplify: iters left: 1 (53 enodes) 1540326343.561 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540326343.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326343.562 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.563 * * [misc]simplify: iters left: 6 (18 enodes) 1540326343.571 * * [misc]simplify: iters left: 5 (27 enodes) 1540326343.580 * * [misc]simplify: iters left: 4 (34 enodes) 1540326343.592 * * [misc]simplify: iters left: 3 (40 enodes) 1540326343.606 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326343.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326343.606 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1540326343.606 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1540326343.608 * * [misc]simplify: iters left: 6 (13 enodes) 1540326343.613 * * [misc]simplify: iters left: 5 (18 enodes) 1540326343.623 * * [misc]simplify: iters left: 4 (26 enodes) 1540326343.631 * * [misc]simplify: iters left: 3 (30 enodes) 1540326343.639 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540326343.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326343.640 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326343.641 * * [misc]simplify: iters left: 6 (17 enodes) 1540326343.650 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.658 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.666 * * [misc]simplify: iters left: 3 (39 enodes) 1540326343.672 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326343.672 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326343.672 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1540326343.672 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1540326343.673 * * [misc]simplify: iters left: 6 (12 enodes) 1540326343.676 * * [misc]simplify: iters left: 5 (18 enodes) 1540326343.679 * * [misc]simplify: iters left: 4 (24 enodes) 1540326343.682 * * [misc]simplify: iters left: 3 (25 enodes) 1540326343.685 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540326343.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326343.686 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326343.687 * * [misc]simplify: iters left: 6 (17 enodes) 1540326343.690 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.698 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.709 * * [misc]simplify: iters left: 3 (39 enodes) 1540326343.714 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326343.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326343.715 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1540326343.715 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1540326343.715 * * [misc]simplify: iters left: 6 (13 enodes) 1540326343.718 * * [misc]simplify: iters left: 5 (19 enodes) 1540326343.723 * * [misc]simplify: iters left: 4 (23 enodes) 1540326343.727 * * [misc]simplify: iters left: 3 (27 enodes) 1540326343.730 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326343.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326343.731 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540326343.731 * * [misc]simplify: iters left: 6 (16 enodes) 1540326343.735 * * [misc]simplify: iters left: 5 (25 enodes) 1540326343.744 * * [misc]simplify: iters left: 4 (32 enodes) 1540326343.756 * * [misc]simplify: iters left: 3 (45 enodes) 1540326343.766 * * [misc]simplify: iters left: 2 (47 enodes) 1540326343.771 * * [misc]simplify: iters left: 1 (52 enodes) 1540326343.778 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540326343.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1540326343.778 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1540326343.778 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540326343.779 * * [misc]simplify: iters left: 6 (17 enodes) 1540326343.783 * * [misc]simplify: iters left: 5 (27 enodes) 1540326343.788 * * [misc]simplify: iters left: 4 (34 enodes) 1540326343.793 * * [misc]simplify: iters left: 3 (40 enodes) 1540326343.799 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1540326343.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1540326343.799 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1540326343.800 * * [misc]simplify: iters left: 6 (15 enodes) 1540326343.804 * * [misc]simplify: iters left: 5 (22 enodes) 1540326343.809 * * [misc]simplify: iters left: 4 (26 enodes) 1540326343.814 * * [misc]simplify: iters left: 3 (30 enodes) 1540326343.818 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540326343.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540326343.818 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1540326343.818 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326343.819 * * [misc]simplify: iters left: 6 (14 enodes) 1540326343.822 * * [misc]simplify: iters left: 5 (21 enodes) 1540326343.825 * * [misc]simplify: iters left: 4 (24 enodes) 1540326343.831 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326343.832 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.833 * * [misc]simplify: iters left: 6 (17 enodes) 1540326343.841 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.850 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.862 * * [misc]simplify: iters left: 3 (45 enodes) 1540326343.879 * * [misc]simplify: iters left: 2 (70 enodes) 1540326343.909 * * [misc]simplify: iters left: 1 (91 enodes) 1540326343.947 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326343.947 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1540326343.948 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.949 * * [misc]simplify: iters left: 6 (13 enodes) 1540326343.954 * * [misc]simplify: iters left: 5 (18 enodes) 1540326343.960 * * [misc]simplify: iters left: 4 (21 enodes) 1540326343.967 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326343.968 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326343.970 * * [misc]simplify: iters left: 6 (17 enodes) 1540326343.978 * * [misc]simplify: iters left: 5 (26 enodes) 1540326343.987 * * [misc]simplify: iters left: 4 (33 enodes) 1540326343.999 * * [misc]simplify: iters left: 3 (45 enodes) 1540326344.016 * * [misc]simplify: iters left: 2 (70 enodes) 1540326344.046 * * [misc]simplify: iters left: 1 (91 enodes) 1540326344.086 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326344.086 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326344.086 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1540326344.087 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326344.088 * * [misc]simplify: iters left: 6 (12 enodes) 1540326344.093 * * [misc]simplify: iters left: 5 (20 enodes) 1540326344.100 * * [misc]simplify: iters left: 4 (27 enodes) 1540326344.109 * * [misc]simplify: iters left: 3 (37 enodes) 1540326344.127 * * [misc]simplify: iters left: 2 (64 enodes) 1540326344.154 * * [misc]simplify: iters left: 1 (93 enodes) 1540326344.203 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326344.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326344.203 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326344.207 * * [misc]simplify: iters left: 6 (18 enodes) 1540326344.215 * * [misc]simplify: iters left: 5 (30 enodes) 1540326344.225 * * [misc]simplify: iters left: 4 (41 enodes) 1540326344.235 * * [misc]simplify: iters left: 3 (76 enodes) 1540326344.254 * * [misc]simplify: iters left: 2 (142 enodes) 1540326344.370 * * [misc]simplify: iters left: 1 (391 enodes) 1540326344.750 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326344.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326344.750 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1540326344.751 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326344.752 * * [misc]simplify: iters left: 6 (12 enodes) 1540326344.757 * * [misc]simplify: iters left: 5 (20 enodes) 1540326344.764 * * [misc]simplify: iters left: 4 (27 enodes) 1540326344.771 * * [misc]simplify: iters left: 3 (37 enodes) 1540326344.780 * * [misc]simplify: iters left: 2 (64 enodes) 1540326344.795 * * [misc]simplify: iters left: 1 (93 enodes) 1540326344.838 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326344.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326344.838 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326344.840 * * [misc]simplify: iters left: 6 (18 enodes) 1540326344.849 * * [misc]simplify: iters left: 5 (30 enodes) 1540326344.859 * * [misc]simplify: iters left: 4 (41 enodes) 1540326344.879 * * [misc]simplify: iters left: 3 (76 enodes) 1540326344.905 * * [misc]simplify: iters left: 2 (142 enodes) 1540326344.992 * * [misc]simplify: iters left: 1 (391 enodes) 1540326345.376 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326345.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326345.376 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1540326345.376 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540326345.378 * * [misc]simplify: iters left: 6 (13 enodes) 1540326345.383 * * [misc]simplify: iters left: 5 (21 enodes) 1540326345.391 * * [misc]simplify: iters left: 4 (31 enodes) 1540326345.405 * * [misc]simplify: iters left: 3 (51 enodes) 1540326345.430 * * [misc]simplify: iters left: 2 (90 enodes) 1540326345.461 * * [misc]simplify: iters left: 1 (181 enodes) 1540326345.558 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326345.558 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326345.558 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326345.559 * * [misc]simplify: iters left: 6 (15 enodes) 1540326345.562 * * [misc]simplify: iters left: 5 (25 enodes) 1540326345.567 * * [misc]simplify: iters left: 4 (38 enodes) 1540326345.578 * * [misc]simplify: iters left: 3 (73 enodes) 1540326345.615 * * [misc]simplify: iters left: 2 (139 enodes) 1540326345.698 * * [misc]simplify: iters left: 1 (375 enodes) 1540326346.052 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540326346.052 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540326346.052 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1540326346.053 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326346.054 * * [misc]simplify: iters left: 6 (16 enodes) 1540326346.062 * * [misc]simplify: iters left: 5 (29 enodes) 1540326346.074 * * [misc]simplify: iters left: 4 (50 enodes) 1540326346.093 * * [misc]simplify: iters left: 3 (70 enodes) 1540326346.121 * * [misc]simplify: iters left: 2 (169 enodes) 1540326346.265 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540326346.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326346.265 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326346.266 * * [misc]simplify: iters left: 6 (18 enodes) 1540326346.270 * * [misc]simplify: iters left: 5 (29 enodes) 1540326346.276 * * [misc]simplify: iters left: 4 (42 enodes) 1540326346.297 * * [misc]simplify: iters left: 3 (77 enodes) 1540326346.335 * * [misc]simplify: iters left: 2 (143 enodes) 1540326346.479 * * [misc]simplify: iters left: 1 (394 enodes) 1540326346.843 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540326346.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326346.844 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1540326346.844 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326346.846 * * [misc]simplify: iters left: 6 (15 enodes) 1540326346.852 * * [misc]simplify: iters left: 5 (24 enodes) 1540326346.861 * * [misc]simplify: iters left: 4 (34 enodes) 1540326346.875 * * [misc]simplify: iters left: 3 (54 enodes) 1540326346.898 * * [misc]simplify: iters left: 2 (93 enodes) 1540326346.922 * * [misc]simplify: iters left: 1 (182 enodes) 1540326347.040 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326347.040 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326347.040 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326347.041 * * [misc]simplify: iters left: 6 (18 enodes) 1540326347.046 * * [misc]simplify: iters left: 5 (29 enodes) 1540326347.051 * * [misc]simplify: iters left: 4 (42 enodes) 1540326347.064 * * [misc]simplify: iters left: 3 (77 enodes) 1540326347.086 * * [misc]simplify: iters left: 2 (143 enodes) 1540326347.228 * * [misc]simplify: iters left: 1 (394 enodes) 1540326347.608 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540326347.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326347.608 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1540326347.608 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540326347.609 * * [misc]simplify: iters left: 6 (7 enodes) 1540326347.613 * * [misc]simplify: iters left: 5 (13 enodes) 1540326347.619 * * [misc]simplify: iters left: 4 (22 enodes) 1540326347.625 * * [misc]simplify: iters left: 3 (24 enodes) 1540326347.631 * * [misc]simplify: iters left: 2 (29 enodes) 1540326347.639 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540326347.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326347.639 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326347.641 * * [misc]simplify: iters left: 6 (17 enodes) 1540326347.650 * * [misc]simplify: iters left: 5 (28 enodes) 1540326347.663 * * [misc]simplify: iters left: 4 (41 enodes) 1540326347.683 * * [misc]simplify: iters left: 3 (76 enodes) 1540326347.721 * * [misc]simplify: iters left: 2 (142 enodes) 1540326347.859 * * [misc]simplify: iters left: 1 (380 enodes) 1540326348.255 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326348.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326348.255 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1540326348.255 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326348.256 * * [misc]simplify: iters left: 6 (11 enodes) 1540326348.260 * * [misc]simplify: iters left: 5 (17 enodes) 1540326348.266 * * [misc]simplify: iters left: 4 (20 enodes) 1540326348.272 * * [misc]simplify: iters left: 3 (22 enodes) 1540326348.281 * * [misc]simplify: iters left: 2 (34 enodes) 1540326348.291 * * [misc]simplify: iters left: 1 (42 enodes) 1540326348.303 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540326348.303 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326348.303 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326348.305 * * [misc]simplify: iters left: 6 (18 enodes) 1540326348.317 * * [misc]simplify: iters left: 5 (30 enodes) 1540326348.324 * * [misc]simplify: iters left: 4 (41 enodes) 1540326348.335 * * [misc]simplify: iters left: 3 (76 enodes) 1540326348.359 * * [misc]simplify: iters left: 2 (142 enodes) 1540326348.505 * * [misc]simplify: iters left: 1 (391 enodes) 1540326348.821 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326348.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326348.821 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1540326348.821 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326348.822 * * [misc]simplify: iters left: 6 (11 enodes) 1540326348.825 * * [misc]simplify: iters left: 5 (17 enodes) 1540326348.829 * * [misc]simplify: iters left: 4 (20 enodes) 1540326348.832 * * [misc]simplify: iters left: 3 (22 enodes) 1540326348.836 * * [misc]simplify: iters left: 2 (34 enodes) 1540326348.842 * * [misc]simplify: iters left: 1 (42 enodes) 1540326348.847 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540326348.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326348.847 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326348.848 * * [misc]simplify: iters left: 6 (18 enodes) 1540326348.853 * * [misc]simplify: iters left: 5 (30 enodes) 1540326348.860 * * [misc]simplify: iters left: 4 (41 enodes) 1540326348.870 * * [misc]simplify: iters left: 3 (76 enodes) 1540326348.890 * * [misc]simplify: iters left: 2 (142 enodes) 1540326348.989 * * [misc]simplify: iters left: 1 (391 enodes) 1540326349.350 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326349.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326349.351 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1540326349.351 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326349.352 * * [misc]simplify: iters left: 6 (12 enodes) 1540326349.357 * * [misc]simplify: iters left: 5 (18 enodes) 1540326349.363 * * [misc]simplify: iters left: 4 (24 enodes) 1540326349.372 * * [misc]simplify: iters left: 3 (32 enodes) 1540326349.383 * * [misc]simplify: iters left: 2 (41 enodes) 1540326349.389 * * [misc]simplify: iters left: 1 (51 enodes) 1540326349.397 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326349.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326349.397 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326349.398 * * [misc]simplify: iters left: 6 (15 enodes) 1540326349.402 * * [misc]simplify: iters left: 5 (25 enodes) 1540326349.406 * * [misc]simplify: iters left: 4 (38 enodes) 1540326349.418 * * [misc]simplify: iters left: 3 (73 enodes) 1540326349.437 * * [misc]simplify: iters left: 2 (139 enodes) 1540326349.562 * * [misc]simplify: iters left: 1 (375 enodes) 1540326349.867 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540326349.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540326349.867 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1540326349.867 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326349.868 * * [misc]simplify: iters left: 6 (15 enodes) 1540326349.871 * * [misc]simplify: iters left: 5 (24 enodes) 1540326349.876 * * [misc]simplify: iters left: 4 (32 enodes) 1540326349.881 * * [misc]simplify: iters left: 3 (43 enodes) 1540326349.893 * * [misc]simplify: iters left: 2 (69 enodes) 1540326349.913 * * [misc]simplify: iters left: 1 (119 enodes) 1540326349.991 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326349.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326349.991 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326349.993 * * [misc]simplify: iters left: 6 (18 enodes) 1540326350.003 * * [misc]simplify: iters left: 5 (29 enodes) 1540326350.013 * * [misc]simplify: iters left: 4 (42 enodes) 1540326350.025 * * [misc]simplify: iters left: 3 (77 enodes) 1540326350.053 * * [misc]simplify: iters left: 2 (143 enodes) 1540326350.184 * * [misc]simplify: iters left: 1 (394 enodes) 1540326350.437 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540326350.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326350.437 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1540326350.437 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326350.438 * * [misc]simplify: iters left: 6 (14 enodes) 1540326350.441 * * [misc]simplify: iters left: 5 (21 enodes) 1540326350.446 * * [misc]simplify: iters left: 4 (27 enodes) 1540326350.451 * * [misc]simplify: iters left: 3 (35 enodes) 1540326350.459 * * [misc]simplify: iters left: 2 (43 enodes) 1540326350.471 * * [misc]simplify: iters left: 1 (56 enodes) 1540326350.486 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326350.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326350.486 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326350.487 * * [misc]simplify: iters left: 6 (18 enodes) 1540326350.492 * * [misc]simplify: iters left: 5 (29 enodes) 1540326350.497 * * [misc]simplify: iters left: 4 (42 enodes) 1540326350.507 * * [misc]simplify: iters left: 3 (77 enodes) 1540326350.539 * * [misc]simplify: iters left: 2 (143 enodes) 1540326350.620 * * [misc]simplify: iters left: 1 (394 enodes) 1540326350.868 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540326350.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326350.868 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1540326350.868 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540326350.869 * * [misc]simplify: iters left: 6 (6 enodes) 1540326350.870 * * [misc]simplify: iters left: 5 (10 enodes) 1540326350.873 * * [misc]simplify: iters left: 4 (16 enodes) 1540326350.875 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540326350.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326350.875 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326350.876 * * [misc]simplify: iters left: 6 (17 enodes) 1540326350.880 * * [misc]simplify: iters left: 5 (28 enodes) 1540326350.886 * * [misc]simplify: iters left: 4 (41 enodes) 1540326350.896 * * [misc]simplify: iters left: 3 (76 enodes) 1540326350.922 * * [misc]simplify: iters left: 2 (142 enodes) 1540326351.024 * * [misc]simplify: iters left: 1 (380 enodes) 1540326351.433 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326351.433 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326351.433 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1540326351.433 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540326351.434 * * [misc]simplify: iters left: 6 (8 enodes) 1540326351.439 * * [misc]simplify: iters left: 5 (14 enodes) 1540326351.443 * * [misc]simplify: iters left: 4 (15 enodes) 1540326351.448 * * [misc]simplify: iters left: 3 (19 enodes) 1540326351.452 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540326351.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326351.453 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326351.454 * * [misc]simplify: iters left: 6 (17 enodes) 1540326351.463 * * [misc]simplify: iters left: 5 (29 enodes) 1540326351.473 * * [misc]simplify: iters left: 4 (40 enodes) 1540326351.492 * * [misc]simplify: iters left: 3 (75 enodes) 1540326351.530 * * [misc]simplify: iters left: 2 (141 enodes) 1540326351.669 * * [misc]simplify: iters left: 1 (379 enodes) 1540326352.042 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326352.042 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326352.043 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1540326352.043 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540326352.044 * * [misc]simplify: iters left: 6 (8 enodes) 1540326352.047 * * [misc]simplify: iters left: 5 (14 enodes) 1540326352.049 * * [misc]simplify: iters left: 4 (15 enodes) 1540326352.052 * * [misc]simplify: iters left: 3 (19 enodes) 1540326352.054 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540326352.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326352.054 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326352.055 * * [misc]simplify: iters left: 6 (17 enodes) 1540326352.059 * * [misc]simplify: iters left: 5 (29 enodes) 1540326352.065 * * [misc]simplify: iters left: 4 (40 enodes) 1540326352.081 * * [misc]simplify: iters left: 3 (75 enodes) 1540326352.101 * * [misc]simplify: iters left: 2 (141 enodes) 1540326352.202 * * [misc]simplify: iters left: 1 (379 enodes) 1540326352.547 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326352.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326352.547 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1540326352.547 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1540326352.548 * * [misc]simplify: iters left: 6 (10 enodes) 1540326352.550 * * [misc]simplify: iters left: 5 (16 enodes) 1540326352.553 * * [misc]simplify: iters left: 4 (20 enodes) 1540326352.556 * * [misc]simplify: iters left: 3 (24 enodes) 1540326352.559 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540326352.559 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326352.559 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326352.560 * * [misc]simplify: iters left: 6 (14 enodes) 1540326352.564 * * [misc]simplify: iters left: 5 (24 enodes) 1540326352.574 * * [misc]simplify: iters left: 4 (37 enodes) 1540326352.593 * * [misc]simplify: iters left: 3 (72 enodes) 1540326352.615 * * [misc]simplify: iters left: 2 (138 enodes) 1540326352.719 * * [misc]simplify: iters left: 1 (391 enodes) 1540326353.024 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1540326353.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1540326353.024 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1540326353.025 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326353.026 * * [misc]simplify: iters left: 6 (13 enodes) 1540326353.034 * * [misc]simplify: iters left: 5 (22 enodes) 1540326353.041 * * [misc]simplify: iters left: 4 (26 enodes) 1540326353.050 * * [misc]simplify: iters left: 3 (32 enodes) 1540326353.058 * * [misc]simplify: iters left: 2 (34 enodes) 1540326353.068 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326353.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326353.068 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326353.070 * * [misc]simplify: iters left: 6 (17 enodes) 1540326353.081 * * [misc]simplify: iters left: 5 (28 enodes) 1540326353.091 * * [misc]simplify: iters left: 4 (41 enodes) 1540326353.111 * * [misc]simplify: iters left: 3 (76 enodes) 1540326353.148 * * [misc]simplify: iters left: 2 (142 enodes) 1540326353.276 * * [misc]simplify: iters left: 1 (382 enodes) 1540326353.685 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540326353.685 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540326353.685 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1540326353.685 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326353.686 * * [misc]simplify: iters left: 6 (12 enodes) 1540326353.692 * * [misc]simplify: iters left: 5 (19 enodes) 1540326353.695 * * [misc]simplify: iters left: 4 (23 enodes) 1540326353.699 * * [misc]simplify: iters left: 3 (27 enodes) 1540326353.703 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326353.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326353.703 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326353.704 * * [misc]simplify: iters left: 6 (17 enodes) 1540326353.708 * * [misc]simplify: iters left: 5 (28 enodes) 1540326353.713 * * [misc]simplify: iters left: 4 (41 enodes) 1540326353.726 * * [misc]simplify: iters left: 3 (76 enodes) 1540326353.755 * * [misc]simplify: iters left: 2 (142 enodes) 1540326353.876 * * [misc]simplify: iters left: 1 (382 enodes) 1540326354.323 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540326354.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540326354.323 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1540326354.324 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540326354.324 * * [misc]simplify: iters left: 4 (3 enodes) 1540326354.325 * * [misc]simplify: iters left: 3 (5 enodes) 1540326354.326 * [exit]simplify: Simplified to 1 1540326354.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326354.326 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326354.328 * * [misc]simplify: iters left: 6 (16 enodes) 1540326354.336 * * [misc]simplify: iters left: 5 (27 enodes) 1540326354.346 * * [misc]simplify: iters left: 4 (40 enodes) 1540326354.365 * * [misc]simplify: iters left: 3 (75 enodes) 1540326354.390 * * [misc]simplify: iters left: 2 (141 enodes) 1540326354.500 * * [misc]simplify: iters left: 1 (376 enodes) 1540326354.832 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540326354.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540326354.832 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1540326354.833 * [enter]simplify: Simplifying (/ 1 1) 1540326354.833 * * [misc]simplify: iters left: 2 (2 enodes) 1540326354.834 * * [misc]simplify: iters left: 1 (4 enodes) 1540326354.835 * [exit]simplify: Simplified to 1 1540326354.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326354.835 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326354.836 * * [misc]simplify: iters left: 6 (16 enodes) 1540326354.843 * * [misc]simplify: iters left: 5 (27 enodes) 1540326354.852 * * [misc]simplify: iters left: 4 (40 enodes) 1540326354.870 * * [misc]simplify: iters left: 3 (75 enodes) 1540326354.907 * * [misc]simplify: iters left: 2 (141 enodes) 1540326355.027 * * [misc]simplify: iters left: 1 (376 enodes) 1540326355.321 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540326355.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540326355.322 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1540326355.322 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540326355.323 * * [misc]simplify: iters left: 3 (4 enodes) 1540326355.324 * * [misc]simplify: iters left: 2 (6 enodes) 1540326355.326 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540326355.326 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326355.326 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540326355.327 * * [misc]simplify: iters left: 6 (15 enodes) 1540326355.335 * * [misc]simplify: iters left: 5 (26 enodes) 1540326355.341 * * [misc]simplify: iters left: 4 (35 enodes) 1540326355.349 * * [misc]simplify: iters left: 3 (61 enodes) 1540326355.363 * * [misc]simplify: iters left: 2 (82 enodes) 1540326355.375 * * [misc]simplify: iters left: 1 (85 enodes) 1540326355.388 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540326355.388 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540326355.388 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1540326355.389 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1540326355.390 * * [misc]simplify: iters left: 6 (10 enodes) 1540326355.394 * * [misc]simplify: iters left: 5 (16 enodes) 1540326355.398 * * [misc]simplify: iters left: 4 (19 enodes) 1540326355.404 * * [misc]simplify: iters left: 3 (21 enodes) 1540326355.413 * * [misc]simplify: iters left: 2 (33 enodes) 1540326355.425 * * [misc]simplify: iters left: 1 (41 enodes) 1540326355.436 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540326355.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1540326355.437 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1540326355.438 * * [misc]simplify: iters left: 6 (14 enodes) 1540326355.445 * * [misc]simplify: iters left: 5 (23 enodes) 1540326355.454 * * [misc]simplify: iters left: 4 (30 enodes) 1540326355.466 * * [misc]simplify: iters left: 3 (42 enodes) 1540326355.483 * * [misc]simplify: iters left: 2 (67 enodes) 1540326355.504 * * [misc]simplify: iters left: 1 (88 enodes) 1540326355.520 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540326355.520 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540326355.520 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1540326355.520 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326355.521 * * [misc]simplify: iters left: 6 (14 enodes) 1540326355.524 * * [misc]simplify: iters left: 5 (21 enodes) 1540326355.527 * * [misc]simplify: iters left: 4 (24 enodes) 1540326355.539 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326355.539 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.541 * * [misc]simplify: iters left: 6 (17 enodes) 1540326355.549 * * [misc]simplify: iters left: 5 (26 enodes) 1540326355.558 * * [misc]simplify: iters left: 4 (33 enodes) 1540326355.570 * * [misc]simplify: iters left: 3 (45 enodes) 1540326355.588 * * [misc]simplify: iters left: 2 (70 enodes) 1540326355.618 * * [misc]simplify: iters left: 1 (91 enodes) 1540326355.655 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326355.655 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1540326355.656 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.657 * * [misc]simplify: iters left: 6 (13 enodes) 1540326355.662 * * [misc]simplify: iters left: 5 (18 enodes) 1540326355.668 * * [misc]simplify: iters left: 4 (21 enodes) 1540326355.678 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326355.678 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.680 * * [misc]simplify: iters left: 6 (17 enodes) 1540326355.690 * * [misc]simplify: iters left: 5 (26 enodes) 1540326355.699 * * [misc]simplify: iters left: 4 (33 enodes) 1540326355.712 * * [misc]simplify: iters left: 3 (45 enodes) 1540326355.729 * * [misc]simplify: iters left: 2 (70 enodes) 1540326355.759 * * [misc]simplify: iters left: 1 (91 enodes) 1540326355.797 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326355.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326355.797 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1540326355.797 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326355.798 * * [misc]simplify: iters left: 6 (12 enodes) 1540326355.804 * * [misc]simplify: iters left: 5 (20 enodes) 1540326355.810 * * [misc]simplify: iters left: 4 (27 enodes) 1540326355.823 * * [misc]simplify: iters left: 3 (37 enodes) 1540326355.840 * * [misc]simplify: iters left: 2 (64 enodes) 1540326355.853 * * [misc]simplify: iters left: 1 (93 enodes) 1540326355.877 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326355.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326355.877 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326355.879 * * [misc]simplify: iters left: 6 (18 enodes) 1540326355.883 * * [misc]simplify: iters left: 5 (30 enodes) 1540326355.889 * * [misc]simplify: iters left: 4 (41 enodes) 1540326355.909 * * [misc]simplify: iters left: 3 (76 enodes) 1540326355.946 * * [misc]simplify: iters left: 2 (142 enodes) 1540326356.077 * * [misc]simplify: iters left: 1 (391 enodes) 1540326356.390 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326356.391 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326356.391 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1540326356.391 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326356.392 * * [misc]simplify: iters left: 6 (12 enodes) 1540326356.394 * * [misc]simplify: iters left: 5 (20 enodes) 1540326356.398 * * [misc]simplify: iters left: 4 (27 enodes) 1540326356.403 * * [misc]simplify: iters left: 3 (37 enodes) 1540326356.412 * * [misc]simplify: iters left: 2 (64 enodes) 1540326356.426 * * [misc]simplify: iters left: 1 (93 enodes) 1540326356.453 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326356.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326356.453 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326356.455 * * [misc]simplify: iters left: 6 (18 enodes) 1540326356.464 * * [misc]simplify: iters left: 5 (30 enodes) 1540326356.475 * * [misc]simplify: iters left: 4 (41 enodes) 1540326356.488 * * [misc]simplify: iters left: 3 (76 enodes) 1540326356.508 * * [misc]simplify: iters left: 2 (142 enodes) 1540326356.611 * * [misc]simplify: iters left: 1 (391 enodes) 1540326356.982 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326356.983 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326356.983 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1540326356.983 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540326356.984 * * [misc]simplify: iters left: 6 (13 enodes) 1540326356.990 * * [misc]simplify: iters left: 5 (21 enodes) 1540326356.999 * * [misc]simplify: iters left: 4 (31 enodes) 1540326357.011 * * [misc]simplify: iters left: 3 (51 enodes) 1540326357.039 * * [misc]simplify: iters left: 2 (90 enodes) 1540326357.071 * * [misc]simplify: iters left: 1 (181 enodes) 1540326357.156 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326357.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326357.156 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326357.157 * * [misc]simplify: iters left: 6 (15 enodes) 1540326357.161 * * [misc]simplify: iters left: 5 (25 enodes) 1540326357.166 * * [misc]simplify: iters left: 4 (38 enodes) 1540326357.184 * * [misc]simplify: iters left: 3 (73 enodes) 1540326357.207 * * [misc]simplify: iters left: 2 (139 enodes) 1540326357.292 * * [misc]simplify: iters left: 1 (375 enodes) 1540326357.583 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540326357.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540326357.583 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1540326357.584 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326357.585 * * [misc]simplify: iters left: 6 (16 enodes) 1540326357.593 * * [misc]simplify: iters left: 5 (29 enodes) 1540326357.605 * * [misc]simplify: iters left: 4 (50 enodes) 1540326357.623 * * [misc]simplify: iters left: 3 (70 enodes) 1540326357.652 * * [misc]simplify: iters left: 2 (169 enodes) 1540326357.831 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540326357.831 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326357.831 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326357.832 * * [misc]simplify: iters left: 6 (18 enodes) 1540326357.837 * * [misc]simplify: iters left: 5 (29 enodes) 1540326357.842 * * [misc]simplify: iters left: 4 (42 enodes) 1540326357.852 * * [misc]simplify: iters left: 3 (77 enodes) 1540326357.876 * * [misc]simplify: iters left: 2 (143 enodes) 1540326357.965 * * [misc]simplify: iters left: 1 (394 enodes) 1540326358.298 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540326358.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326358.298 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1540326358.298 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326358.300 * * [misc]simplify: iters left: 6 (15 enodes) 1540326358.306 * * [misc]simplify: iters left: 5 (24 enodes) 1540326358.315 * * [misc]simplify: iters left: 4 (34 enodes) 1540326358.322 * * [misc]simplify: iters left: 3 (54 enodes) 1540326358.335 * * [misc]simplify: iters left: 2 (93 enodes) 1540326358.375 * * [misc]simplify: iters left: 1 (182 enodes) 1540326358.455 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326358.455 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326358.456 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326358.457 * * [misc]simplify: iters left: 6 (18 enodes) 1540326358.461 * * [misc]simplify: iters left: 5 (29 enodes) 1540326358.467 * * [misc]simplify: iters left: 4 (42 enodes) 1540326358.481 * * [misc]simplify: iters left: 3 (77 enodes) 1540326358.519 * * [misc]simplify: iters left: 2 (143 enodes) 1540326358.649 * * [misc]simplify: iters left: 1 (394 enodes) 1540326358.876 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540326358.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326358.877 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1540326358.877 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540326358.878 * * [misc]simplify: iters left: 6 (7 enodes) 1540326358.879 * * [misc]simplify: iters left: 5 (13 enodes) 1540326358.883 * * [misc]simplify: iters left: 4 (22 enodes) 1540326358.886 * * [misc]simplify: iters left: 3 (24 enodes) 1540326358.889 * * [misc]simplify: iters left: 2 (29 enodes) 1540326358.892 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540326358.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326358.893 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326358.894 * * [misc]simplify: iters left: 6 (17 enodes) 1540326358.898 * * [misc]simplify: iters left: 5 (28 enodes) 1540326358.903 * * [misc]simplify: iters left: 4 (41 enodes) 1540326358.913 * * [misc]simplify: iters left: 3 (76 enodes) 1540326358.933 * * [misc]simplify: iters left: 2 (142 enodes) 1540326359.055 * * [misc]simplify: iters left: 1 (380 enodes) 1540326359.464 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326359.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326359.464 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1540326359.464 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326359.465 * * [misc]simplify: iters left: 6 (11 enodes) 1540326359.467 * * [misc]simplify: iters left: 5 (17 enodes) 1540326359.470 * * [misc]simplify: iters left: 4 (20 enodes) 1540326359.473 * * [misc]simplify: iters left: 3 (22 enodes) 1540326359.479 * * [misc]simplify: iters left: 2 (34 enodes) 1540326359.485 * * [misc]simplify: iters left: 1 (42 enodes) 1540326359.490 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540326359.490 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326359.490 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326359.491 * * [misc]simplify: iters left: 6 (18 enodes) 1540326359.496 * * [misc]simplify: iters left: 5 (30 enodes) 1540326359.507 * * [misc]simplify: iters left: 4 (41 enodes) 1540326359.526 * * [misc]simplify: iters left: 3 (76 enodes) 1540326359.564 * * [misc]simplify: iters left: 2 (142 enodes) 1540326359.659 * * [misc]simplify: iters left: 1 (391 enodes) 1540326360.021 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326360.022 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326360.022 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1540326360.022 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326360.023 * * [misc]simplify: iters left: 6 (11 enodes) 1540326360.027 * * [misc]simplify: iters left: 5 (17 enodes) 1540326360.033 * * [misc]simplify: iters left: 4 (20 enodes) 1540326360.037 * * [misc]simplify: iters left: 3 (22 enodes) 1540326360.041 * * [misc]simplify: iters left: 2 (34 enodes) 1540326360.047 * * [misc]simplify: iters left: 1 (42 enodes) 1540326360.052 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540326360.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326360.052 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326360.053 * * [misc]simplify: iters left: 6 (18 enodes) 1540326360.060 * * [misc]simplify: iters left: 5 (30 enodes) 1540326360.065 * * [misc]simplify: iters left: 4 (41 enodes) 1540326360.075 * * [misc]simplify: iters left: 3 (76 enodes) 1540326360.108 * * [misc]simplify: iters left: 2 (142 enodes) 1540326360.211 * * [misc]simplify: iters left: 1 (391 enodes) 1540326360.544 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326360.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326360.544 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1540326360.544 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326360.546 * * [misc]simplify: iters left: 6 (12 enodes) 1540326360.550 * * [misc]simplify: iters left: 5 (18 enodes) 1540326360.556 * * [misc]simplify: iters left: 4 (24 enodes) 1540326360.564 * * [misc]simplify: iters left: 3 (32 enodes) 1540326360.576 * * [misc]simplify: iters left: 2 (41 enodes) 1540326360.588 * * [misc]simplify: iters left: 1 (51 enodes) 1540326360.603 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326360.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326360.603 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326360.607 * * [misc]simplify: iters left: 6 (15 enodes) 1540326360.615 * * [misc]simplify: iters left: 5 (25 enodes) 1540326360.624 * * [misc]simplify: iters left: 4 (38 enodes) 1540326360.643 * * [misc]simplify: iters left: 3 (73 enodes) 1540326360.672 * * [misc]simplify: iters left: 2 (139 enodes) 1540326360.770 * * [misc]simplify: iters left: 1 (375 enodes) 1540326361.108 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540326361.108 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540326361.108 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1540326361.108 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326361.109 * * [misc]simplify: iters left: 6 (15 enodes) 1540326361.112 * * [misc]simplify: iters left: 5 (24 enodes) 1540326361.116 * * [misc]simplify: iters left: 4 (32 enodes) 1540326361.122 * * [misc]simplify: iters left: 3 (43 enodes) 1540326361.133 * * [misc]simplify: iters left: 2 (69 enodes) 1540326361.164 * * [misc]simplify: iters left: 1 (119 enodes) 1540326361.240 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326361.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326361.241 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326361.242 * * [misc]simplify: iters left: 6 (18 enodes) 1540326361.251 * * [misc]simplify: iters left: 5 (29 enodes) 1540326361.262 * * [misc]simplify: iters left: 4 (42 enodes) 1540326361.275 * * [misc]simplify: iters left: 3 (77 enodes) 1540326361.295 * * [misc]simplify: iters left: 2 (143 enodes) 1540326361.384 * * [misc]simplify: iters left: 1 (394 enodes) 1540326361.683 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540326361.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326361.683 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1540326361.683 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326361.684 * * [misc]simplify: iters left: 6 (14 enodes) 1540326361.687 * * [misc]simplify: iters left: 5 (21 enodes) 1540326361.690 * * [misc]simplify: iters left: 4 (27 enodes) 1540326361.694 * * [misc]simplify: iters left: 3 (35 enodes) 1540326361.701 * * [misc]simplify: iters left: 2 (43 enodes) 1540326361.710 * * [misc]simplify: iters left: 1 (56 enodes) 1540326361.730 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326361.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326361.731 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326361.733 * * [misc]simplify: iters left: 6 (18 enodes) 1540326361.741 * * [misc]simplify: iters left: 5 (29 enodes) 1540326361.747 * * [misc]simplify: iters left: 4 (42 enodes) 1540326361.758 * * [misc]simplify: iters left: 3 (77 enodes) 1540326361.780 * * [misc]simplify: iters left: 2 (143 enodes) 1540326361.919 * * [misc]simplify: iters left: 1 (394 enodes) 1540326362.194 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540326362.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326362.194 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1540326362.194 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540326362.195 * * [misc]simplify: iters left: 6 (6 enodes) 1540326362.196 * * [misc]simplify: iters left: 5 (10 enodes) 1540326362.198 * * [misc]simplify: iters left: 4 (16 enodes) 1540326362.200 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540326362.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326362.201 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326362.202 * * [misc]simplify: iters left: 6 (17 enodes) 1540326362.206 * * [misc]simplify: iters left: 5 (28 enodes) 1540326362.211 * * [misc]simplify: iters left: 4 (41 enodes) 1540326362.221 * * [misc]simplify: iters left: 3 (76 enodes) 1540326362.254 * * [misc]simplify: iters left: 2 (142 enodes) 1540326362.349 * * [misc]simplify: iters left: 1 (380 enodes) 1540326362.718 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540326362.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540326362.719 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1540326362.719 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540326362.719 * * [misc]simplify: iters left: 6 (8 enodes) 1540326362.722 * * [misc]simplify: iters left: 5 (14 enodes) 1540326362.723 * * [misc]simplify: iters left: 4 (15 enodes) 1540326362.726 * * [misc]simplify: iters left: 3 (19 enodes) 1540326362.728 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540326362.728 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326362.728 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326362.729 * * [misc]simplify: iters left: 6 (17 enodes) 1540326362.733 * * [misc]simplify: iters left: 5 (29 enodes) 1540326362.741 * * [misc]simplify: iters left: 4 (40 enodes) 1540326362.760 * * [misc]simplify: iters left: 3 (75 enodes) 1540326362.794 * * [misc]simplify: iters left: 2 (141 enodes) 1540326362.895 * * [misc]simplify: iters left: 1 (379 enodes) 1540326363.216 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326363.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326363.216 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1540326363.216 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540326363.216 * * [misc]simplify: iters left: 6 (8 enodes) 1540326363.219 * * [misc]simplify: iters left: 5 (14 enodes) 1540326363.221 * * [misc]simplify: iters left: 4 (15 enodes) 1540326363.223 * * [misc]simplify: iters left: 3 (19 enodes) 1540326363.226 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540326363.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326363.226 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326363.227 * * [misc]simplify: iters left: 6 (17 enodes) 1540326363.232 * * [misc]simplify: iters left: 5 (29 enodes) 1540326363.242 * * [misc]simplify: iters left: 4 (40 enodes) 1540326363.255 * * [misc]simplify: iters left: 3 (75 enodes) 1540326363.276 * * [misc]simplify: iters left: 2 (141 enodes) 1540326363.378 * * [misc]simplify: iters left: 1 (379 enodes) 1540326363.649 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326363.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326363.650 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1540326363.650 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1540326363.650 * * [misc]simplify: iters left: 6 (10 enodes) 1540326363.653 * * [misc]simplify: iters left: 5 (16 enodes) 1540326363.655 * * [misc]simplify: iters left: 4 (20 enodes) 1540326363.659 * * [misc]simplify: iters left: 3 (24 enodes) 1540326363.662 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540326363.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326363.662 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326363.663 * * [misc]simplify: iters left: 6 (14 enodes) 1540326363.668 * * [misc]simplify: iters left: 5 (24 enodes) 1540326363.677 * * [misc]simplify: iters left: 4 (37 enodes) 1540326363.698 * * [misc]simplify: iters left: 3 (72 enodes) 1540326363.734 * * [misc]simplify: iters left: 2 (138 enodes) 1540326363.850 * * [misc]simplify: iters left: 1 (391 enodes) 1540326364.148 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1540326364.148 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1540326364.148 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1540326364.148 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326364.151 * * [misc]simplify: iters left: 6 (13 enodes) 1540326364.154 * * [misc]simplify: iters left: 5 (22 enodes) 1540326364.160 * * [misc]simplify: iters left: 4 (26 enodes) 1540326364.170 * * [misc]simplify: iters left: 3 (32 enodes) 1540326364.179 * * [misc]simplify: iters left: 2 (34 enodes) 1540326364.188 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326364.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326364.189 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326364.190 * * [misc]simplify: iters left: 6 (17 enodes) 1540326364.198 * * [misc]simplify: iters left: 5 (28 enodes) 1540326364.208 * * [misc]simplify: iters left: 4 (41 enodes) 1540326364.228 * * [misc]simplify: iters left: 3 (76 enodes) 1540326364.253 * * [misc]simplify: iters left: 2 (142 enodes) 1540326364.338 * * [misc]simplify: iters left: 1 (382 enodes) 1540326364.826 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540326364.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540326364.827 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1540326364.827 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326364.828 * * [misc]simplify: iters left: 6 (12 enodes) 1540326364.834 * * [misc]simplify: iters left: 5 (19 enodes) 1540326364.839 * * [misc]simplify: iters left: 4 (23 enodes) 1540326364.847 * * [misc]simplify: iters left: 3 (27 enodes) 1540326364.851 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326364.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326364.851 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326364.852 * * [misc]simplify: iters left: 6 (17 enodes) 1540326364.856 * * [misc]simplify: iters left: 5 (28 enodes) 1540326364.861 * * [misc]simplify: iters left: 4 (41 enodes) 1540326364.871 * * [misc]simplify: iters left: 3 (76 enodes) 1540326364.907 * * [misc]simplify: iters left: 2 (142 enodes) 1540326364.979 * * [misc]simplify: iters left: 1 (382 enodes) 1540326365.412 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540326365.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540326365.413 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1540326365.413 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540326365.413 * * [misc]simplify: iters left: 4 (3 enodes) 1540326365.415 * * [misc]simplify: iters left: 3 (5 enodes) 1540326365.416 * [exit]simplify: Simplified to 1 1540326365.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326365.416 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326365.418 * * [misc]simplify: iters left: 6 (16 enodes) 1540326365.425 * * [misc]simplify: iters left: 5 (27 enodes) 1540326365.438 * * [misc]simplify: iters left: 4 (40 enodes) 1540326365.457 * * [misc]simplify: iters left: 3 (75 enodes) 1540326365.484 * * [misc]simplify: iters left: 2 (141 enodes) 1540326365.594 * * [misc]simplify: iters left: 1 (376 enodes) 1540326365.948 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540326365.948 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540326365.948 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1540326365.949 * [enter]simplify: Simplifying (/ 1 1) 1540326365.949 * * [misc]simplify: iters left: 2 (2 enodes) 1540326365.949 * * [misc]simplify: iters left: 1 (4 enodes) 1540326365.950 * [exit]simplify: Simplified to 1 1540326365.950 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326365.950 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326365.951 * * [misc]simplify: iters left: 6 (16 enodes) 1540326365.955 * * [misc]simplify: iters left: 5 (27 enodes) 1540326365.960 * * [misc]simplify: iters left: 4 (40 enodes) 1540326365.970 * * [misc]simplify: iters left: 3 (75 enodes) 1540326365.989 * * [misc]simplify: iters left: 2 (141 enodes) 1540326366.120 * * [misc]simplify: iters left: 1 (376 enodes) 1540326366.453 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540326366.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540326366.454 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1540326366.454 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540326366.454 * * [misc]simplify: iters left: 3 (4 enodes) 1540326366.455 * * [misc]simplify: iters left: 2 (6 enodes) 1540326366.456 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540326366.456 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326366.456 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540326366.457 * * [misc]simplify: iters left: 6 (15 enodes) 1540326366.461 * * [misc]simplify: iters left: 5 (26 enodes) 1540326366.465 * * [misc]simplify: iters left: 4 (35 enodes) 1540326366.474 * * [misc]simplify: iters left: 3 (61 enodes) 1540326366.491 * * [misc]simplify: iters left: 2 (82 enodes) 1540326366.506 * * [misc]simplify: iters left: 1 (85 enodes) 1540326366.522 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540326366.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540326366.522 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1540326366.522 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1540326366.523 * * [misc]simplify: iters left: 6 (10 enodes) 1540326366.527 * * [misc]simplify: iters left: 5 (16 enodes) 1540326366.532 * * [misc]simplify: iters left: 4 (19 enodes) 1540326366.538 * * [misc]simplify: iters left: 3 (21 enodes) 1540326366.547 * * [misc]simplify: iters left: 2 (33 enodes) 1540326366.557 * * [misc]simplify: iters left: 1 (41 enodes) 1540326366.565 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540326366.565 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1540326366.566 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1540326366.566 * * [misc]simplify: iters left: 6 (14 enodes) 1540326366.570 * * [misc]simplify: iters left: 5 (23 enodes) 1540326366.574 * * [misc]simplify: iters left: 4 (30 enodes) 1540326366.579 * * [misc]simplify: iters left: 3 (42 enodes) 1540326366.588 * * [misc]simplify: iters left: 2 (67 enodes) 1540326366.603 * * [misc]simplify: iters left: 1 (88 enodes) 1540326366.619 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540326366.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540326366.619 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1540326366.620 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326366.621 * * [misc]simplify: iters left: 6 (15 enodes) 1540326366.624 * * [misc]simplify: iters left: 5 (22 enodes) 1540326366.630 * * [misc]simplify: iters left: 4 (25 enodes) 1540326366.640 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326366.640 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326366.640 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326366.641 * * [misc]simplify: iters left: 6 (14 enodes) 1540326366.646 * * [misc]simplify: iters left: 5 (17 enodes) 1540326366.652 * * [misc]simplify: iters left: 4 (20 enodes) 1540326366.660 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326366.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326366.660 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1540326366.660 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326366.661 * * [misc]simplify: iters left: 6 (14 enodes) 1540326366.667 * * [misc]simplify: iters left: 5 (19 enodes) 1540326366.673 * * [misc]simplify: iters left: 4 (22 enodes) 1540326366.680 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326366.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326366.680 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326366.682 * * [misc]simplify: iters left: 6 (14 enodes) 1540326366.687 * * [misc]simplify: iters left: 5 (17 enodes) 1540326366.692 * * [misc]simplify: iters left: 4 (20 enodes) 1540326366.700 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326366.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326366.700 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1540326366.700 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326366.703 * * [misc]simplify: iters left: 6 (13 enodes) 1540326366.709 * * [misc]simplify: iters left: 5 (21 enodes) 1540326366.716 * * [misc]simplify: iters left: 4 (28 enodes) 1540326366.726 * * [misc]simplify: iters left: 3 (36 enodes) 1540326366.742 * * [misc]simplify: iters left: 2 (62 enodes) 1540326366.755 * * [misc]simplify: iters left: 1 (94 enodes) 1540326366.789 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540326366.789 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326366.789 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326366.790 * * [misc]simplify: iters left: 6 (15 enodes) 1540326366.792 * * [misc]simplify: iters left: 5 (21 enodes) 1540326366.797 * * [misc]simplify: iters left: 4 (25 enodes) 1540326366.801 * * [misc]simplify: iters left: 3 (27 enodes) 1540326366.806 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326366.806 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326366.806 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1540326366.806 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540326366.807 * * [misc]simplify: iters left: 6 (13 enodes) 1540326366.810 * * [misc]simplify: iters left: 5 (21 enodes) 1540326366.813 * * [misc]simplify: iters left: 4 (28 enodes) 1540326366.820 * * [misc]simplify: iters left: 3 (36 enodes) 1540326366.837 * * [misc]simplify: iters left: 2 (62 enodes) 1540326366.863 * * [misc]simplify: iters left: 1 (94 enodes) 1540326366.917 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540326366.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326366.918 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326366.919 * * [misc]simplify: iters left: 6 (15 enodes) 1540326366.926 * * [misc]simplify: iters left: 5 (21 enodes) 1540326366.933 * * [misc]simplify: iters left: 4 (25 enodes) 1540326366.941 * * [misc]simplify: iters left: 3 (27 enodes) 1540326366.952 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326366.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326366.952 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1540326366.952 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540326366.954 * * [misc]simplify: iters left: 6 (14 enodes) 1540326366.960 * * [misc]simplify: iters left: 5 (22 enodes) 1540326366.968 * * [misc]simplify: iters left: 4 (32 enodes) 1540326366.974 * * [misc]simplify: iters left: 3 (55 enodes) 1540326366.988 * * [misc]simplify: iters left: 2 (97 enodes) 1540326367.019 * * [misc]simplify: iters left: 1 (209 enodes) 1540326367.104 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326367.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326367.104 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326367.105 * * [misc]simplify: iters left: 6 (12 enodes) 1540326367.107 * * [misc]simplify: iters left: 5 (16 enodes) 1540326367.110 * * [misc]simplify: iters left: 4 (22 enodes) 1540326367.114 * * [misc]simplify: iters left: 3 (24 enodes) 1540326367.118 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540326367.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326367.118 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1540326367.119 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326367.119 * * [misc]simplify: iters left: 6 (17 enodes) 1540326367.123 * * [misc]simplify: iters left: 5 (30 enodes) 1540326367.130 * * [misc]simplify: iters left: 4 (51 enodes) 1540326367.140 * * [misc]simplify: iters left: 3 (67 enodes) 1540326367.163 * * [misc]simplify: iters left: 2 (156 enodes) 1540326367.249 * * [misc]simplify: iters left: 1 (456 enodes) 1540326367.812 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540326367.812 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326367.812 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326367.813 * * [misc]simplify: iters left: 6 (15 enodes) 1540326367.816 * * [misc]simplify: iters left: 5 (20 enodes) 1540326367.820 * * [misc]simplify: iters left: 4 (26 enodes) 1540326367.825 * * [misc]simplify: iters left: 3 (28 enodes) 1540326367.835 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326367.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326367.835 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1540326367.835 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326367.836 * * [misc]simplify: iters left: 6 (16 enodes) 1540326367.843 * * [misc]simplify: iters left: 5 (25 enodes) 1540326367.852 * * [misc]simplify: iters left: 4 (35 enodes) 1540326367.859 * * [misc]simplify: iters left: 3 (58 enodes) 1540326367.873 * * [misc]simplify: iters left: 2 (99 enodes) 1540326367.909 * * [misc]simplify: iters left: 1 (192 enodes) 1540326368.011 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540326368.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326368.011 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.013 * * [misc]simplify: iters left: 6 (15 enodes) 1540326368.017 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.021 * * [misc]simplify: iters left: 4 (26 enodes) 1540326368.025 * * [misc]simplify: iters left: 3 (28 enodes) 1540326368.031 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326368.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326368.031 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1540326368.031 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540326368.033 * * [misc]simplify: iters left: 6 (8 enodes) 1540326368.035 * * [misc]simplify: iters left: 5 (14 enodes) 1540326368.039 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.042 * * [misc]simplify: iters left: 3 (29 enodes) 1540326368.047 * * [misc]simplify: iters left: 2 (45 enodes) 1540326368.054 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540326368.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.055 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.055 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.058 * * [misc]simplify: iters left: 5 (19 enodes) 1540326368.062 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.066 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.071 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326368.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326368.071 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1540326368.071 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326368.072 * * [misc]simplify: iters left: 6 (12 enodes) 1540326368.074 * * [misc]simplify: iters left: 5 (18 enodes) 1540326368.078 * * [misc]simplify: iters left: 4 (21 enodes) 1540326368.084 * * [misc]simplify: iters left: 3 (23 enodes) 1540326368.092 * * [misc]simplify: iters left: 2 (35 enodes) 1540326368.102 * * [misc]simplify: iters left: 1 (43 enodes) 1540326368.113 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540326368.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326368.113 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326368.115 * * [misc]simplify: iters left: 6 (15 enodes) 1540326368.120 * * [misc]simplify: iters left: 5 (21 enodes) 1540326368.128 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.135 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.145 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326368.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326368.145 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1540326368.145 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540326368.146 * * [misc]simplify: iters left: 6 (12 enodes) 1540326368.151 * * [misc]simplify: iters left: 5 (18 enodes) 1540326368.154 * * [misc]simplify: iters left: 4 (21 enodes) 1540326368.156 * * [misc]simplify: iters left: 3 (23 enodes) 1540326368.161 * * [misc]simplify: iters left: 2 (35 enodes) 1540326368.166 * * [misc]simplify: iters left: 1 (43 enodes) 1540326368.172 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540326368.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326368.172 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540326368.173 * * [misc]simplify: iters left: 6 (15 enodes) 1540326368.176 * * [misc]simplify: iters left: 5 (21 enodes) 1540326368.179 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.183 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.188 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540326368.188 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540326368.189 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1540326368.189 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540326368.190 * * [misc]simplify: iters left: 6 (13 enodes) 1540326368.192 * * [misc]simplify: iters left: 5 (19 enodes) 1540326368.195 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.200 * * [misc]simplify: iters left: 3 (34 enodes) 1540326368.207 * * [misc]simplify: iters left: 2 (44 enodes) 1540326368.215 * * [misc]simplify: iters left: 1 (59 enodes) 1540326368.226 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540326368.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326368.226 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540326368.227 * * [misc]simplify: iters left: 6 (12 enodes) 1540326368.229 * * [misc]simplify: iters left: 5 (16 enodes) 1540326368.233 * * [misc]simplify: iters left: 4 (22 enodes) 1540326368.237 * * [misc]simplify: iters left: 3 (24 enodes) 1540326368.242 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540326368.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326368.242 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1540326368.242 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.243 * * [misc]simplify: iters left: 6 (16 enodes) 1540326368.246 * * [misc]simplify: iters left: 5 (25 enodes) 1540326368.250 * * [misc]simplify: iters left: 4 (33 enodes) 1540326368.257 * * [misc]simplify: iters left: 3 (41 enodes) 1540326368.265 * * [misc]simplify: iters left: 2 (64 enodes) 1540326368.280 * * [misc]simplify: iters left: 1 (95 enodes) 1540326368.298 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540326368.298 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326368.298 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.299 * * [misc]simplify: iters left: 6 (15 enodes) 1540326368.302 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.305 * * [misc]simplify: iters left: 4 (26 enodes) 1540326368.309 * * [misc]simplify: iters left: 3 (28 enodes) 1540326368.315 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326368.315 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326368.315 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1540326368.315 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.316 * * [misc]simplify: iters left: 6 (15 enodes) 1540326368.319 * * [misc]simplify: iters left: 5 (22 enodes) 1540326368.322 * * [misc]simplify: iters left: 4 (28 enodes) 1540326368.327 * * [misc]simplify: iters left: 3 (37 enodes) 1540326368.334 * * [misc]simplify: iters left: 2 (47 enodes) 1540326368.341 * * [misc]simplify: iters left: 1 (62 enodes) 1540326368.354 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540326368.354 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326368.354 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.355 * * [misc]simplify: iters left: 6 (15 enodes) 1540326368.358 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.361 * * [misc]simplify: iters left: 4 (26 enodes) 1540326368.365 * * [misc]simplify: iters left: 3 (28 enodes) 1540326368.370 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326368.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326368.370 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1540326368.371 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1540326368.371 * * [misc]simplify: iters left: 6 (7 enodes) 1540326368.373 * * [misc]simplify: iters left: 5 (11 enodes) 1540326368.376 * * [misc]simplify: iters left: 4 (17 enodes) 1540326368.378 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540326368.378 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.378 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.379 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.381 * * [misc]simplify: iters left: 5 (19 enodes) 1540326368.386 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.394 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.405 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326368.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326368.405 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1540326368.405 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1540326368.406 * * [misc]simplify: iters left: 6 (9 enodes) 1540326368.410 * * [misc]simplify: iters left: 5 (15 enodes) 1540326368.414 * [exit]simplify: Simplified to (sqrt (* n 2)) 1540326368.414 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326368.415 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326368.416 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.422 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.429 * * [misc]simplify: iters left: 4 (24 enodes) 1540326368.436 * * [misc]simplify: iters left: 3 (26 enodes) 1540326368.448 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326368.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326368.448 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1540326368.449 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1540326368.450 * * [misc]simplify: iters left: 6 (9 enodes) 1540326368.454 * * [misc]simplify: iters left: 5 (15 enodes) 1540326368.458 * [exit]simplify: Simplified to (sqrt (* n 2)) 1540326368.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326368.459 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540326368.460 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.465 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.472 * * [misc]simplify: iters left: 4 (24 enodes) 1540326368.479 * * [misc]simplify: iters left: 3 (26 enodes) 1540326368.489 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326368.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326368.489 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1540326368.490 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540326368.491 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.496 * * [misc]simplify: iters left: 5 (17 enodes) 1540326368.501 * * [misc]simplify: iters left: 4 (20 enodes) 1540326368.508 * * [misc]simplify: iters left: 3 (24 enodes) 1540326368.514 * * [misc]simplify: iters left: 2 (26 enodes) 1540326368.522 * * [misc]simplify: iters left: 1 (28 enodes) 1540326368.530 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540326368.530 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326368.530 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326368.531 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.536 * * [misc]simplify: iters left: 5 (15 enodes) 1540326368.541 * * [misc]simplify: iters left: 4 (21 enodes) 1540326368.549 * * [misc]simplify: iters left: 3 (23 enodes) 1540326368.557 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540326368.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326368.557 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1540326368.558 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.559 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.566 * * [misc]simplify: iters left: 5 (23 enodes) 1540326368.572 * * [misc]simplify: iters left: 4 (26 enodes) 1540326368.581 * * [misc]simplify: iters left: 3 (31 enodes) 1540326368.591 * * [misc]simplify: iters left: 2 (34 enodes) 1540326368.603 * * [misc]simplify: iters left: 1 (48 enodes) 1540326368.621 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326368.621 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.623 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.628 * * [misc]simplify: iters left: 5 (19 enodes) 1540326368.635 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.643 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.653 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.653 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1540326368.653 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.655 * * [misc]simplify: iters left: 6 (13 enodes) 1540326368.661 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.667 * * [misc]simplify: iters left: 4 (23 enodes) 1540326368.675 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.682 * * [misc]simplify: iters left: 2 (29 enodes) 1540326368.690 * * [misc]simplify: iters left: 1 (31 enodes) 1540326368.701 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540326368.701 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326368.701 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326368.703 * * [misc]simplify: iters left: 6 (14 enodes) 1540326368.708 * * [misc]simplify: iters left: 5 (19 enodes) 1540326368.715 * * [misc]simplify: iters left: 4 (25 enodes) 1540326368.723 * * [misc]simplify: iters left: 3 (27 enodes) 1540326368.734 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.735 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1540326368.735 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1540326368.735 * * [misc]simplify: iters left: 4 (3 enodes) 1540326368.737 * * [misc]simplify: iters left: 3 (5 enodes) 1540326368.738 * [exit]simplify: Simplified to 1 1540326368.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.738 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.739 * * [misc]simplify: iters left: 6 (13 enodes) 1540326368.744 * * [misc]simplify: iters left: 5 (18 enodes) 1540326368.751 * * [misc]simplify: iters left: 4 (24 enodes) 1540326368.759 * * [misc]simplify: iters left: 3 (26 enodes) 1540326368.769 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326368.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326368.769 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1540326368.770 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1540326368.770 * * [misc]simplify: iters left: 4 (3 enodes) 1540326368.772 * * [misc]simplify: iters left: 3 (5 enodes) 1540326368.772 * [exit]simplify: Simplified to 1 1540326368.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.773 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.774 * * [misc]simplify: iters left: 6 (13 enodes) 1540326368.779 * * [misc]simplify: iters left: 5 (18 enodes) 1540326368.786 * * [misc]simplify: iters left: 4 (24 enodes) 1540326368.794 * * [misc]simplify: iters left: 3 (26 enodes) 1540326368.804 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540326368.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540326368.804 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1540326368.804 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1540326368.805 * * [misc]simplify: iters left: 4 (5 enodes) 1540326368.807 * * [misc]simplify: iters left: 3 (7 enodes) 1540326368.809 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540326368.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.809 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.810 * * [misc]simplify: iters left: 6 (13 enodes) 1540326368.817 * * [misc]simplify: iters left: 5 (20 enodes) 1540326368.824 * * [misc]simplify: iters left: 4 (26 enodes) 1540326368.834 * * [misc]simplify: iters left: 3 (36 enodes) 1540326368.844 * * [misc]simplify: iters left: 2 (38 enodes) 1540326368.854 * * [misc]simplify: iters left: 1 (43 enodes) 1540326368.867 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540326368.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540326368.867 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1540326368.868 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1540326368.869 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.875 * * [misc]simplify: iters left: 5 (17 enodes) 1540326368.880 * * [misc]simplify: iters left: 4 (20 enodes) 1540326368.887 * * [misc]simplify: iters left: 3 (22 enodes) 1540326368.896 * * [misc]simplify: iters left: 2 (34 enodes) 1540326368.907 * * [misc]simplify: iters left: 1 (42 enodes) 1540326368.918 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540326368.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1540326368.918 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1540326368.920 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.924 * * [misc]simplify: iters left: 5 (14 enodes) 1540326368.926 * * [misc]simplify: iters left: 4 (17 enodes) 1540326368.929 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540326368.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540326368.929 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1540326368.929 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1540326368.929 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1540326368.929 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1540326368.929 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.930 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.932 * * [misc]simplify: iters left: 5 (14 enodes) 1540326368.935 * * [misc]simplify: iters left: 4 (17 enodes) 1540326368.938 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.938 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1540326368.938 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.938 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.940 * * [misc]simplify: iters left: 5 (14 enodes) 1540326368.943 * * [misc]simplify: iters left: 4 (17 enodes) 1540326368.946 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.946 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.946 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1540326368.946 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326368.947 * * [misc]simplify: iters left: 6 (10 enodes) 1540326368.949 * * [misc]simplify: iters left: 5 (13 enodes) 1540326368.951 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326368.951 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540326368.951 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1540326368.951 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326368.952 * * [misc]simplify: iters left: 6 (10 enodes) 1540326368.954 * * [misc]simplify: iters left: 5 (13 enodes) 1540326368.956 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326368.956 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540326368.956 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1540326368.956 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326368.957 * * [misc]simplify: iters left: 6 (9 enodes) 1540326368.958 * * [misc]simplify: iters left: 5 (11 enodes) 1540326368.960 * * [misc]simplify: iters left: 4 (14 enodes) 1540326368.963 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326368.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540326368.963 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1540326368.963 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.964 * * [misc]simplify: iters left: 6 (12 enodes) 1540326368.966 * * [misc]simplify: iters left: 5 (15 enodes) 1540326368.972 * * [misc]simplify: iters left: 4 (18 enodes) 1540326368.979 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.979 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.979 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1540326368.979 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.980 * * [misc]simplify: iters left: 6 (12 enodes) 1540326368.985 * * [misc]simplify: iters left: 5 (15 enodes) 1540326368.990 * * [misc]simplify: iters left: 4 (18 enodes) 1540326368.996 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326368.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326368.996 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1540326368.996 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326368.997 * * [misc]simplify: iters left: 6 (11 enodes) 1540326368.999 * * [misc]simplify: iters left: 5 (14 enodes) 1540326369.001 * * [misc]simplify: iters left: 4 (17 enodes) 1540326369.004 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326369.004 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1540326369.004 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326369.005 * * [misc]simplify: iters left: 6 (10 enodes) 1540326369.007 * * [misc]simplify: iters left: 5 (13 enodes) 1540326369.009 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326369.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540326369.009 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1540326369.009 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326369.010 * * [misc]simplify: iters left: 6 (10 enodes) 1540326369.012 * * [misc]simplify: iters left: 5 (13 enodes) 1540326369.014 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326369.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540326369.014 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1540326369.014 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326369.015 * * [misc]simplify: iters left: 6 (9 enodes) 1540326369.016 * * [misc]simplify: iters left: 5 (11 enodes) 1540326369.019 * * [misc]simplify: iters left: 4 (14 enodes) 1540326369.021 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326369.021 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540326369.021 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1540326369.021 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.022 * * [misc]simplify: iters left: 6 (12 enodes) 1540326369.024 * * [misc]simplify: iters left: 5 (15 enodes) 1540326369.026 * * [misc]simplify: iters left: 4 (18 enodes) 1540326369.030 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326369.030 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1540326369.030 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.031 * * [misc]simplify: iters left: 6 (12 enodes) 1540326369.033 * * [misc]simplify: iters left: 5 (15 enodes) 1540326369.035 * * [misc]simplify: iters left: 4 (18 enodes) 1540326369.038 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326369.038 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1540326369.039 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.039 * * [misc]simplify: iters left: 6 (11 enodes) 1540326369.041 * * [misc]simplify: iters left: 5 (14 enodes) 1540326369.043 * * [misc]simplify: iters left: 4 (17 enodes) 1540326369.046 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326369.046 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1540326369.046 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540326369.047 * * [misc]simplify: iters left: 6 (9 enodes) 1540326369.049 * * [misc]simplify: iters left: 5 (12 enodes) 1540326369.051 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540326369.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540326369.051 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1540326369.051 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540326369.053 * * [misc]simplify: iters left: 6 (9 enodes) 1540326369.054 * * [misc]simplify: iters left: 5 (12 enodes) 1540326369.056 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540326369.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540326369.056 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1540326369.057 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540326369.057 * * [misc]simplify: iters left: 6 (8 enodes) 1540326369.059 * * [misc]simplify: iters left: 5 (10 enodes) 1540326369.060 * * [misc]simplify: iters left: 4 (13 enodes) 1540326369.062 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540326369.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540326369.062 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1540326369.063 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.063 * * [misc]simplify: iters left: 6 (11 enodes) 1540326369.065 * * [misc]simplify: iters left: 5 (14 enodes) 1540326369.068 * * [misc]simplify: iters left: 4 (17 enodes) 1540326369.071 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326369.071 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1540326369.071 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.071 * * [misc]simplify: iters left: 6 (11 enodes) 1540326369.073 * * [misc]simplify: iters left: 5 (14 enodes) 1540326369.076 * * [misc]simplify: iters left: 4 (17 enodes) 1540326369.079 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326369.079 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1540326369.079 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.080 * * [misc]simplify: iters left: 6 (10 enodes) 1540326369.084 * * [misc]simplify: iters left: 5 (13 enodes) 1540326369.088 * * [misc]simplify: iters left: 4 (16 enodes) 1540326369.094 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326369.094 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1540326369.094 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.095 * * [misc]simplify: iters left: 6 (10 enodes) 1540326369.099 * * [misc]simplify: iters left: 5 (13 enodes) 1540326369.103 * * [misc]simplify: iters left: 4 (16 enodes) 1540326369.109 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.109 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326369.110 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1540326369.110 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1540326369.111 * * [misc]simplify: iters left: 6 (10 enodes) 1540326369.115 * * [misc]simplify: iters left: 5 (15 enodes) 1540326369.120 * * [misc]simplify: iters left: 4 (18 enodes) 1540326369.126 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326369.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326369.126 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1540326369.127 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540326369.127 * * [misc]simplify: iters left: 3 (6 enodes) 1540326369.131 * * [misc]simplify: iters left: 2 (7 enodes) 1540326369.133 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540326369.133 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1540326369.133 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1540326369.134 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1540326369.135 * * [misc]simplify: iters left: 6 (12 enodes) 1540326369.141 * * [misc]simplify: iters left: 5 (18 enodes) 1540326369.147 * * [misc]simplify: iters left: 4 (22 enodes) 1540326369.155 * * [misc]simplify: iters left: 3 (26 enodes) 1540326369.163 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540326369.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1540326369.163 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1540326369.163 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1540326369.164 * * [misc]simplify: iters left: 6 (11 enodes) 1540326369.172 * * [misc]simplify: iters left: 5 (17 enodes) 1540326369.178 * * [misc]simplify: iters left: 4 (21 enodes) 1540326369.187 * * [misc]simplify: iters left: 3 (25 enodes) 1540326369.194 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540326369.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1540326369.194 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1540326369.194 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1540326369.194 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1540326369.195 * [enter]simplify: Simplifying (/ 1 1) 1540326369.195 * * [misc]simplify: iters left: 2 (2 enodes) 1540326369.196 * * [misc]simplify: iters left: 1 (4 enodes) 1540326369.197 * [exit]simplify: Simplified to 1 1540326369.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1540326369.197 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1540326369.197 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540326369.198 * * [misc]simplify: iters left: 5 (8 enodes) 1540326369.201 * * [misc]simplify: iters left: 4 (11 enodes) 1540326369.205 * * [misc]simplify: iters left: 3 (14 enodes) 1540326369.209 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540326369.209 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.210 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1540326369.210 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1540326369.210 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1540326369.210 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540326369.211 * * [misc]simplify: iters left: 6 (12 enodes) 1540326369.218 * * [misc]simplify: iters left: 5 (21 enodes) 1540326369.229 * * [misc]simplify: iters left: 4 (44 enodes) 1540326369.252 * * [misc]simplify: iters left: 3 (125 enodes) 1540326369.301 * * [misc]simplify: iters left: 2 (343 enodes) 1540326369.521 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1540326369.521 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1540326369.521 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1540326369.521 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540326369.522 * * [misc]simplify: iters left: 6 (12 enodes) 1540326369.525 * * [misc]simplify: iters left: 5 (21 enodes) 1540326369.531 * * [misc]simplify: iters left: 4 (44 enodes) 1540326369.547 * * [misc]simplify: iters left: 3 (125 enodes) 1540326369.596 * * [misc]simplify: iters left: 2 (343 enodes) 1540326369.775 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1540326369.775 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1540326369.775 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1540326369.775 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.777 * * [misc]simplify: iters left: 6 (12 enodes) 1540326369.782 * * [misc]simplify: iters left: 5 (19 enodes) 1540326369.791 * * [misc]simplify: iters left: 4 (32 enodes) 1540326369.806 * * [misc]simplify: iters left: 3 (67 enodes) 1540326369.833 * * [misc]simplify: iters left: 2 (194 enodes) 1540326369.980 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540326369.980 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1540326369.980 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1540326369.980 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1540326369.980 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1540326369.980 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326369.981 * * [misc]simplify: iters left: 6 (14 enodes) 1540326369.988 * * [misc]simplify: iters left: 5 (26 enodes) 1540326369.994 * * [misc]simplify: iters left: 4 (58 enodes) 1540326370.011 * * [misc]simplify: iters left: 3 (117 enodes) 1540326370.051 * * [misc]simplify: iters left: 2 (193 enodes) 1540326370.116 * * [misc]simplify: iters left: 1 (263 enodes) 1540326370.267 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.267 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.267 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1540326370.267 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1540326370.267 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1540326370.267 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1540326370.267 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1540326370.268 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540326370.269 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.273 * * [misc]simplify: iters left: 5 (14 enodes) 1540326370.278 * * [misc]simplify: iters left: 4 (16 enodes) 1540326370.283 * * [misc]simplify: iters left: 3 (17 enodes) 1540326370.290 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540326370.290 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326370.290 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326370.291 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.295 * * [misc]simplify: iters left: 5 (13 enodes) 1540326370.300 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326370.300 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540326370.300 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1540326370.300 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540326370.301 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.305 * * [misc]simplify: iters left: 5 (14 enodes) 1540326370.310 * * [misc]simplify: iters left: 4 (16 enodes) 1540326370.315 * * [misc]simplify: iters left: 3 (17 enodes) 1540326370.321 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540326370.321 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326370.322 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326370.323 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.327 * * [misc]simplify: iters left: 5 (13 enodes) 1540326370.332 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326370.332 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540326370.332 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1540326370.332 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540326370.333 * * [misc]simplify: iters left: 6 (11 enodes) 1540326370.338 * * [misc]simplify: iters left: 5 (15 enodes) 1540326370.343 * * [misc]simplify: iters left: 4 (20 enodes) 1540326370.349 * * [misc]simplify: iters left: 3 (21 enodes) 1540326370.356 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540326370.356 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326370.356 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326370.357 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.360 * * [misc]simplify: iters left: 5 (11 enodes) 1540326370.364 * * [misc]simplify: iters left: 4 (14 enodes) 1540326370.368 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326370.368 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326370.368 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1540326370.368 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326370.371 * * [misc]simplify: iters left: 6 (14 enodes) 1540326370.376 * * [misc]simplify: iters left: 5 (23 enodes) 1540326370.385 * * [misc]simplify: iters left: 4 (35 enodes) 1540326370.396 * * [misc]simplify: iters left: 3 (38 enodes) 1540326370.407 * * [misc]simplify: iters left: 2 (41 enodes) 1540326370.424 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326370.424 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.424 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.426 * * [misc]simplify: iters left: 6 (12 enodes) 1540326370.430 * * [misc]simplify: iters left: 5 (15 enodes) 1540326370.435 * * [misc]simplify: iters left: 4 (18 enodes) 1540326370.442 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.442 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.442 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1540326370.443 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.445 * * [misc]simplify: iters left: 6 (13 enodes) 1540326370.450 * * [misc]simplify: iters left: 5 (18 enodes) 1540326370.457 * * [misc]simplify: iters left: 4 (23 enodes) 1540326370.464 * * [misc]simplify: iters left: 3 (24 enodes) 1540326370.472 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.472 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.473 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.474 * * [misc]simplify: iters left: 6 (12 enodes) 1540326370.478 * * [misc]simplify: iters left: 5 (15 enodes) 1540326370.484 * * [misc]simplify: iters left: 4 (18 enodes) 1540326370.490 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.490 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.490 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1540326370.491 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540326370.491 * * [misc]simplify: iters left: 6 (6 enodes) 1540326370.494 * * [misc]simplify: iters left: 5 (10 enodes) 1540326370.499 * * [misc]simplify: iters left: 4 (16 enodes) 1540326370.505 * * [misc]simplify: iters left: 3 (18 enodes) 1540326370.509 * * [misc]simplify: iters left: 2 (23 enodes) 1540326370.515 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326370.516 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.516 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.517 * * [misc]simplify: iters left: 6 (11 enodes) 1540326370.521 * * [misc]simplify: iters left: 5 (14 enodes) 1540326370.526 * * [misc]simplify: iters left: 4 (17 enodes) 1540326370.532 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.532 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.532 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1540326370.532 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540326370.533 * * [misc]simplify: iters left: 5 (9 enodes) 1540326370.537 * * [misc]simplify: iters left: 4 (11 enodes) 1540326370.541 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540326370.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326370.541 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326370.542 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.545 * * [misc]simplify: iters left: 5 (13 enodes) 1540326370.547 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326370.547 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540326370.547 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1540326370.547 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540326370.548 * * [misc]simplify: iters left: 5 (9 enodes) 1540326370.549 * * [misc]simplify: iters left: 4 (11 enodes) 1540326370.551 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540326370.551 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540326370.551 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540326370.552 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.554 * * [misc]simplify: iters left: 5 (13 enodes) 1540326370.556 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540326370.556 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540326370.556 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1540326370.556 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540326370.557 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.559 * * [misc]simplify: iters left: 5 (12 enodes) 1540326370.561 * * [misc]simplify: iters left: 4 (15 enodes) 1540326370.563 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540326370.563 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326370.563 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326370.564 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.566 * * [misc]simplify: iters left: 5 (11 enodes) 1540326370.568 * * [misc]simplify: iters left: 4 (14 enodes) 1540326370.571 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326370.571 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540326370.571 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1540326370.571 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326370.572 * * [misc]simplify: iters left: 6 (13 enodes) 1540326370.577 * * [misc]simplify: iters left: 5 (18 enodes) 1540326370.583 * * [misc]simplify: iters left: 4 (21 enodes) 1540326370.587 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326370.588 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.588 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.588 * * [misc]simplify: iters left: 6 (12 enodes) 1540326370.591 * * [misc]simplify: iters left: 5 (15 enodes) 1540326370.593 * * [misc]simplify: iters left: 4 (18 enodes) 1540326370.596 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.596 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.596 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1540326370.597 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.597 * * [misc]simplify: iters left: 6 (12 enodes) 1540326370.601 * * [misc]simplify: iters left: 5 (15 enodes) 1540326370.603 * * [misc]simplify: iters left: 4 (18 enodes) 1540326370.606 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.606 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.606 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.607 * * [misc]simplify: iters left: 6 (12 enodes) 1540326370.609 * * [misc]simplify: iters left: 5 (15 enodes) 1540326370.612 * * [misc]simplify: iters left: 4 (18 enodes) 1540326370.615 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.615 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.615 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1540326370.615 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540326370.616 * * [misc]simplify: iters left: 4 (5 enodes) 1540326370.616 * * [misc]simplify: iters left: 3 (7 enodes) 1540326370.618 * * [misc]simplify: iters left: 2 (9 enodes) 1540326370.619 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326370.619 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.619 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.620 * * [misc]simplify: iters left: 6 (11 enodes) 1540326370.622 * * [misc]simplify: iters left: 5 (14 enodes) 1540326370.625 * * [misc]simplify: iters left: 4 (17 enodes) 1540326370.631 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.631 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.631 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1540326370.632 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540326370.632 * * [misc]simplify: iters left: 5 (7 enodes) 1540326370.635 * * [misc]simplify: iters left: 4 (11 enodes) 1540326370.638 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540326370.638 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326370.639 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540326370.640 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.643 * * [misc]simplify: iters left: 5 (12 enodes) 1540326370.648 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540326370.648 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1540326370.648 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1540326370.648 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540326370.648 * * [misc]simplify: iters left: 5 (7 enodes) 1540326370.651 * * [misc]simplify: iters left: 4 (11 enodes) 1540326370.655 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540326370.655 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540326370.655 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540326370.656 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.659 * * [misc]simplify: iters left: 5 (12 enodes) 1540326370.664 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540326370.664 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1540326370.664 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1540326370.664 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1540326370.665 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.668 * * [misc]simplify: iters left: 5 (13 enodes) 1540326370.672 * * [misc]simplify: iters left: 4 (16 enodes) 1540326370.677 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1540326370.677 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326370.678 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540326370.678 * * [misc]simplify: iters left: 6 (8 enodes) 1540326370.681 * * [misc]simplify: iters left: 5 (10 enodes) 1540326370.685 * * [misc]simplify: iters left: 4 (13 enodes) 1540326370.690 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540326370.690 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540326370.690 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1540326370.690 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326370.691 * * [misc]simplify: iters left: 6 (12 enodes) 1540326370.696 * * [misc]simplify: iters left: 5 (19 enodes) 1540326370.702 * * [misc]simplify: iters left: 4 (22 enodes) 1540326370.710 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326370.710 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.710 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.711 * * [misc]simplify: iters left: 6 (11 enodes) 1540326370.718 * * [misc]simplify: iters left: 5 (14 enodes) 1540326370.723 * * [misc]simplify: iters left: 4 (17 enodes) 1540326370.729 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.729 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.729 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1540326370.730 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.731 * * [misc]simplify: iters left: 6 (11 enodes) 1540326370.733 * * [misc]simplify: iters left: 5 (16 enodes) 1540326370.736 * * [misc]simplify: iters left: 4 (19 enodes) 1540326370.739 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326370.739 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.740 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.740 * * [misc]simplify: iters left: 6 (11 enodes) 1540326370.742 * * [misc]simplify: iters left: 5 (14 enodes) 1540326370.745 * * [misc]simplify: iters left: 4 (17 enodes) 1540326370.748 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326370.748 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540326370.748 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1540326370.748 * [enter]simplify: Simplifying (/ 1 1) 1540326370.748 * * [misc]simplify: iters left: 2 (2 enodes) 1540326370.749 * * [misc]simplify: iters left: 1 (4 enodes) 1540326370.749 * [exit]simplify: Simplified to 1 1540326370.749 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.749 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.750 * * [misc]simplify: iters left: 6 (10 enodes) 1540326370.752 * * [misc]simplify: iters left: 5 (13 enodes) 1540326370.754 * * [misc]simplify: iters left: 4 (16 enodes) 1540326370.757 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.757 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.757 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1540326370.757 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1540326370.757 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1540326370.757 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1540326370.757 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540326370.758 * * [misc]simplify: iters left: 5 (7 enodes) 1540326370.759 * * [misc]simplify: iters left: 4 (10 enodes) 1540326370.761 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540326370.761 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1540326370.761 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1540326370.761 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540326370.762 * * [misc]simplify: iters left: 5 (7 enodes) 1540326370.763 * * [misc]simplify: iters left: 4 (10 enodes) 1540326370.765 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540326370.765 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1540326370.765 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1540326370.765 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540326370.766 * * [misc]simplify: iters left: 5 (6 enodes) 1540326370.767 * * [misc]simplify: iters left: 4 (8 enodes) 1540326370.768 * * [misc]simplify: iters left: 3 (11 enodes) 1540326370.770 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540326370.770 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1540326370.770 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1540326370.770 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.771 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.773 * * [misc]simplify: iters left: 5 (12 enodes) 1540326370.775 * * [misc]simplify: iters left: 4 (15 enodes) 1540326370.777 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.778 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1540326370.778 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.778 * * [misc]simplify: iters left: 6 (9 enodes) 1540326370.781 * * [misc]simplify: iters left: 5 (12 enodes) 1540326370.785 * * [misc]simplify: iters left: 4 (15 enodes) 1540326370.791 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540326370.791 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540326370.791 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1540326370.791 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540326370.792 * * [misc]simplify: iters left: 5 (8 enodes) 1540326370.795 * * [misc]simplify: iters left: 4 (11 enodes) 1540326370.799 * * [misc]simplify: iters left: 3 (14 enodes) 1540326370.804 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540326370.804 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326370.804 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1540326370.805 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326370.805 * * [misc]simplify: iters left: 4 (4 enodes) 1540326370.807 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326370.807 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540326370.807 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1540326370.807 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540326370.807 * * [misc]simplify: iters left: 2 (3 enodes) 1540326370.808 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326370.808 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540326370.808 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1540326370.808 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1540326370.808 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540326370.808 * * [misc]simplify: iters left: 3 (6 enodes) 1540326370.809 * * [misc]simplify: iters left: 2 (7 enodes) 1540326370.811 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540326370.811 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1540326370.811 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1540326370.811 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1540326370.814 * * [misc]simplify: iters left: 6 (35 enodes) 1540326370.828 * * [misc]simplify: iters left: 5 (99 enodes) 1540326370.885 * * [misc]simplify: iters left: 4 (298 enodes) 1540326371.354 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1540326371.354 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1540326371.354 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1540326371.354 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540326371.355 * * [misc]simplify: iters left: 6 (13 enodes) 1540326371.363 * * [misc]simplify: iters left: 5 (27 enodes) 1540326371.375 * * [misc]simplify: iters left: 4 (53 enodes) 1540326371.403 * * [misc]simplify: iters left: 3 (116 enodes) 1540326371.502 * * [misc]simplify: iters left: 2 (362 enodes) 1540326371.994 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1540326371.994 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1540326371.995 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1540326371.995 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540326371.996 * * [misc]simplify: iters left: 6 (13 enodes) 1540326372.003 * * [misc]simplify: iters left: 5 (24 enodes) 1540326372.015 * * [misc]simplify: iters left: 4 (54 enodes) 1540326372.046 * * [misc]simplify: iters left: 3 (143 enodes) 1540326372.213 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1540326372.213 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1540326372.213 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1540326372.214 * [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)))) 1540326372.215 * * [misc]simplify: iters left: 6 (18 enodes) 1540326372.224 * * [misc]simplify: iters left: 5 (39 enodes) 1540326372.249 * * [misc]simplify: iters left: 4 (104 enodes) 1540326372.298 * * [misc]simplify: iters left: 3 (275 enodes) 1540326372.522 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1540326372.522 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326372.522 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1540326372.523 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540326372.523 * * [misc]simplify: iters left: 5 (6 enodes) 1540326372.526 * * [misc]simplify: iters left: 4 (9 enodes) 1540326372.530 * * [misc]simplify: iters left: 3 (17 enodes) 1540326372.535 * * [misc]simplify: iters left: 2 (20 enodes) 1540326372.540 * * [misc]simplify: iters left: 1 (24 enodes) 1540326372.551 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540326372.551 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326372.551 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1540326372.551 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540326372.552 * * [misc]simplify: iters left: 5 (6 enodes) 1540326372.554 * * [misc]simplify: iters left: 4 (9 enodes) 1540326372.559 * * [misc]simplify: iters left: 3 (17 enodes) 1540326372.563 * * [misc]simplify: iters left: 2 (20 enodes) 1540326372.569 * * [misc]simplify: iters left: 1 (24 enodes) 1540326372.581 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540326372.581 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540326372.581 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1540326372.582 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1540326372.582 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326372.582 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1540326372.582 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1540326372.582 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326372.582 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1540326372.583 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1540326372.583 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540326372.583 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1540326372.583 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540326372.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1540326372.583 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1540326372.583 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540326372.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1540326372.583 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1540326372.584 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540326372.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1540326372.584 * * * [misc]progress: adding candidates to table 1540326379.541 * * [misc]progress: iteration 4 / 4 1540326379.541 * * * [misc]progress: picking best candidate 1540326379.616 * * * * [misc]pick: Picked # 1540326379.616 * * * [misc]progress: localizing error 1540326379.662 * * * [misc]progress: generating rewritten candidates 1540326379.662 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1540326379.686 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) 1540326379.707 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1540326379.721 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1540326379.767 * * * [misc]progress: generating series expansions 1540326379.767 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1540326379.767 * [misc]backup-simplify: Simplify (pow (* 2 n) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1540326379.768 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1540326379.768 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.768 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.768 * [misc]taylor: Taking taylor expansion of k in k 1540326379.768 * [misc]backup-simplify: Simplify 0 into 0 1540326379.768 * [misc]backup-simplify: Simplify 1 into 1 1540326379.768 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326379.768 * [misc]taylor: Taking taylor expansion of 2 in k 1540326379.768 * [misc]backup-simplify: Simplify 2 into 2 1540326379.768 * [misc]taylor: Taking taylor expansion of n in k 1540326379.768 * [misc]backup-simplify: Simplify n into n 1540326379.768 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326379.768 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326379.768 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.768 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.768 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.768 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326379.768 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326379.769 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.769 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.769 * [misc]taylor: Taking taylor expansion of k in n 1540326379.769 * [misc]backup-simplify: Simplify k into k 1540326379.769 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326379.769 * [misc]taylor: Taking taylor expansion of 2 in n 1540326379.769 * [misc]backup-simplify: Simplify 2 into 2 1540326379.769 * [misc]taylor: Taking taylor expansion of n in n 1540326379.769 * [misc]backup-simplify: Simplify 0 into 0 1540326379.769 * [misc]backup-simplify: Simplify 1 into 1 1540326379.769 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326379.769 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326379.769 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.769 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326379.769 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326379.769 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326379.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326379.770 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326379.770 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326379.770 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.770 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.770 * [misc]taylor: Taking taylor expansion of k in n 1540326379.770 * [misc]backup-simplify: Simplify k into k 1540326379.770 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326379.770 * [misc]taylor: Taking taylor expansion of 2 in n 1540326379.770 * [misc]backup-simplify: Simplify 2 into 2 1540326379.770 * [misc]taylor: Taking taylor expansion of n in n 1540326379.770 * [misc]backup-simplify: Simplify 0 into 0 1540326379.770 * [misc]backup-simplify: Simplify 1 into 1 1540326379.770 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326379.770 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326379.771 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.771 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326379.771 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326379.771 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326379.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326379.771 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326379.771 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326379.771 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1540326379.771 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1540326379.771 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1540326379.771 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540326379.772 * [misc]taylor: Taking taylor expansion of 2 in k 1540326379.772 * [misc]backup-simplify: Simplify 2 into 2 1540326379.772 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.772 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326379.772 * [misc]taylor: Taking taylor expansion of n in k 1540326379.772 * [misc]backup-simplify: Simplify n into n 1540326379.772 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326379.772 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.772 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.772 * [misc]taylor: Taking taylor expansion of k in k 1540326379.772 * [misc]backup-simplify: Simplify 0 into 0 1540326379.772 * [misc]backup-simplify: Simplify 1 into 1 1540326379.772 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1540326379.772 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.772 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.772 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.772 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1540326379.773 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540326379.773 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540326379.773 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540326379.774 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326379.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540326379.775 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.775 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326379.775 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1540326379.776 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326379.776 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.776 * [misc]backup-simplify: Simplify 0 into 0 1540326379.776 * [misc]backup-simplify: Simplify 0 into 0 1540326379.776 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326379.776 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.777 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.778 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326379.779 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540326379.779 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.779 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1540326379.779 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1540326379.780 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1540326379.780 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540326379.783 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540326379.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540326379.783 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.783 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326379.783 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1540326379.785 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326379.785 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.785 * [misc]backup-simplify: Simplify 0 into 0 1540326379.785 * [misc]backup-simplify: Simplify 0 into 0 1540326379.785 * [misc]backup-simplify: Simplify 0 into 0 1540326379.785 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326379.785 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.785 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.788 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540326379.789 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540326379.789 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.789 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540326379.791 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1540326379.792 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1540326379.796 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1540326379.797 * [misc]backup-simplify: Simplify (pow (* 2 (/ 1 n)) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.797 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540326379.797 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.797 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.797 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of k in k 1540326379.797 * [misc]backup-simplify: Simplify 0 into 0 1540326379.797 * [misc]backup-simplify: Simplify 1 into 1 1540326379.797 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.797 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326379.797 * [misc]taylor: Taking taylor expansion of 2 in k 1540326379.797 * [misc]backup-simplify: Simplify 2 into 2 1540326379.797 * [misc]taylor: Taking taylor expansion of n in k 1540326379.797 * [misc]backup-simplify: Simplify n into n 1540326379.797 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326379.797 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326379.798 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.798 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.798 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.798 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326379.798 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.798 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326379.798 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326379.798 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326379.798 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326379.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326379.799 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326379.799 * [misc]taylor: Taking taylor expansion of k in n 1540326379.799 * [misc]backup-simplify: Simplify k into k 1540326379.799 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326379.799 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326379.799 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326379.799 * [misc]taylor: Taking taylor expansion of 2 in n 1540326379.799 * [misc]backup-simplify: Simplify 2 into 2 1540326379.799 * [misc]taylor: Taking taylor expansion of n in n 1540326379.799 * [misc]backup-simplify: Simplify 0 into 0 1540326379.799 * [misc]backup-simplify: Simplify 1 into 1 1540326379.799 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326379.799 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.799 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326379.799 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326379.800 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326379.800 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326379.800 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326379.801 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326379.801 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of k in n 1540326379.801 * [misc]backup-simplify: Simplify k into k 1540326379.801 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326379.801 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326379.801 * [misc]taylor: Taking taylor expansion of 2 in n 1540326379.801 * [misc]backup-simplify: Simplify 2 into 2 1540326379.801 * [misc]taylor: Taking taylor expansion of n in n 1540326379.801 * [misc]backup-simplify: Simplify 0 into 0 1540326379.801 * [misc]backup-simplify: Simplify 1 into 1 1540326379.801 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326379.801 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.802 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326379.802 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326379.802 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326379.802 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326379.802 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326379.803 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326379.803 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.803 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of k in k 1540326379.803 * [misc]backup-simplify: Simplify 0 into 0 1540326379.803 * [misc]backup-simplify: Simplify 1 into 1 1540326379.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.803 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540326379.803 * [misc]taylor: Taking taylor expansion of 2 in k 1540326379.803 * [misc]backup-simplify: Simplify 2 into 2 1540326379.804 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.804 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326379.804 * [misc]taylor: Taking taylor expansion of n in k 1540326379.804 * [misc]backup-simplify: Simplify n into n 1540326379.804 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326379.804 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.804 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.804 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.804 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326379.805 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1540326379.805 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1540326379.805 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326379.805 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326379.806 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540326379.809 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326379.809 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326379.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326379.809 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326379.810 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540326379.811 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326379.811 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.811 * [misc]backup-simplify: Simplify 0 into 0 1540326379.811 * [misc]backup-simplify: Simplify 0 into 0 1540326379.811 * [misc]backup-simplify: Simplify 0 into 0 1540326379.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326379.820 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540326379.820 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326379.821 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326379.821 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.821 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326379.822 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1540326379.824 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326379.824 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.824 * [misc]backup-simplify: Simplify 0 into 0 1540326379.824 * [misc]backup-simplify: Simplify 0 into 0 1540326379.824 * [misc]backup-simplify: Simplify 0 into 0 1540326379.824 * [misc]backup-simplify: Simplify 0 into 0 1540326379.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326379.831 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540326379.831 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326379.832 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326379.832 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.833 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326379.833 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1540326379.837 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540326379.837 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.837 * [misc]backup-simplify: Simplify 0 into 0 1540326379.837 * [misc]backup-simplify: Simplify 0 into 0 1540326379.837 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540326379.837 * [misc]backup-simplify: Simplify (pow (* 2 (/ 1 (- n))) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.837 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540326379.837 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326379.837 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of k in k 1540326379.838 * [misc]backup-simplify: Simplify 0 into 0 1540326379.838 * [misc]backup-simplify: Simplify 1 into 1 1540326379.838 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.838 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326379.838 * [misc]taylor: Taking taylor expansion of -2 in k 1540326379.838 * [misc]backup-simplify: Simplify -2 into -2 1540326379.838 * [misc]taylor: Taking taylor expansion of n in k 1540326379.838 * [misc]backup-simplify: Simplify n into n 1540326379.838 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326379.838 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326379.838 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.839 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.839 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326379.839 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.839 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of k in n 1540326379.839 * [misc]backup-simplify: Simplify k into k 1540326379.839 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326379.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.839 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326379.839 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326379.840 * [misc]taylor: Taking taylor expansion of -2 in n 1540326379.840 * [misc]backup-simplify: Simplify -2 into -2 1540326379.840 * [misc]taylor: Taking taylor expansion of n in n 1540326379.840 * [misc]backup-simplify: Simplify 0 into 0 1540326379.840 * [misc]backup-simplify: Simplify 1 into 1 1540326379.840 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326379.840 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326379.840 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326379.840 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326379.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326379.841 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326379.841 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326379.841 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326379.841 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326379.841 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326379.841 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326379.841 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326379.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.841 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326379.841 * [misc]taylor: Taking taylor expansion of k in n 1540326379.841 * [misc]backup-simplify: Simplify k into k 1540326379.842 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326379.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.842 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326379.842 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326379.842 * [misc]taylor: Taking taylor expansion of -2 in n 1540326379.842 * [misc]backup-simplify: Simplify -2 into -2 1540326379.842 * [misc]taylor: Taking taylor expansion of n in n 1540326379.842 * [misc]backup-simplify: Simplify 0 into 0 1540326379.842 * [misc]backup-simplify: Simplify 1 into 1 1540326379.842 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326379.842 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326379.842 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326379.842 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326379.843 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326379.843 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326379.843 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326379.843 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1540326379.843 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.844 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of k in k 1540326379.844 * [misc]backup-simplify: Simplify 0 into 0 1540326379.844 * [misc]backup-simplify: Simplify 1 into 1 1540326379.844 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.844 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of (log -2) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of -2 in k 1540326379.844 * [misc]backup-simplify: Simplify -2 into -2 1540326379.844 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326379.844 * [misc]taylor: Taking taylor expansion of (log n) in k 1540326379.844 * [misc]taylor: Taking taylor expansion of n in k 1540326379.844 * [misc]backup-simplify: Simplify n into n 1540326379.844 * [misc]backup-simplify: Simplify (log n) into (log n) 1540326379.845 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.845 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.845 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540326379.845 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1540326379.845 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1540326379.846 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326379.846 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326379.846 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540326379.849 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540326379.849 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326379.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326379.849 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.850 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326379.850 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540326379.851 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326379.851 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.851 * [misc]backup-simplify: Simplify 0 into 0 1540326379.851 * [misc]backup-simplify: Simplify 0 into 0 1540326379.851 * [misc]backup-simplify: Simplify 0 into 0 1540326379.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326379.856 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1540326379.856 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326379.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540326379.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326379.858 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1540326379.860 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540326379.860 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.860 * [misc]backup-simplify: Simplify 0 into 0 1540326379.860 * [misc]backup-simplify: Simplify 0 into 0 1540326379.860 * [misc]backup-simplify: Simplify 0 into 0 1540326379.861 * [misc]backup-simplify: Simplify 0 into 0 1540326379.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326379.870 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1540326379.870 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540326379.871 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540326379.871 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.871 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326379.872 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1540326379.875 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540326379.875 * [misc]taylor: Taking taylor expansion of 0 in k 1540326379.875 * [misc]backup-simplify: Simplify 0 into 0 1540326379.875 * [misc]backup-simplify: Simplify 0 into 0 1540326379.876 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540326379.876 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) 1540326379.877 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540326379.877 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540326379.877 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326379.877 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326379.877 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326379.877 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.877 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.877 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.877 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.877 * [misc]taylor: Taking taylor expansion of k in k 1540326379.877 * [misc]backup-simplify: Simplify 0 into 0 1540326379.877 * [misc]backup-simplify: Simplify 1 into 1 1540326379.877 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.877 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.877 * [misc]backup-simplify: Simplify PI into PI 1540326379.877 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.877 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.878 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.878 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.878 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.879 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326379.879 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326379.879 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326379.879 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326379.879 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.880 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.880 * [misc]taylor: Taking taylor expansion of k in k 1540326379.880 * [misc]backup-simplify: Simplify 0 into 0 1540326379.880 * [misc]backup-simplify: Simplify 1 into 1 1540326379.880 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.880 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.880 * [misc]backup-simplify: Simplify PI into PI 1540326379.880 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.880 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.880 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.881 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.881 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.882 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326379.882 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540326379.885 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326379.885 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326379.885 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.886 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540326379.890 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326379.891 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326379.896 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540326379.897 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326379.897 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.897 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.898 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540326379.904 * [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))) 1540326379.906 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540326379.910 * [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)))) 1540326379.910 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.910 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540326379.910 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326379.910 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326379.910 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326379.910 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326379.910 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.910 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.911 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.911 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.911 * [misc]taylor: Taking taylor expansion of k in k 1540326379.911 * [misc]backup-simplify: Simplify 0 into 0 1540326379.911 * [misc]backup-simplify: Simplify 1 into 1 1540326379.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.911 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.911 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.911 * [misc]backup-simplify: Simplify PI into PI 1540326379.911 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.911 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.911 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.912 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.912 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326379.913 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.913 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of k in k 1540326379.913 * [misc]backup-simplify: Simplify 0 into 0 1540326379.913 * [misc]backup-simplify: Simplify 1 into 1 1540326379.913 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.913 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.913 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.913 * [misc]backup-simplify: Simplify PI into PI 1540326379.913 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.914 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.914 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.914 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.915 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326379.915 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.915 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.915 * [misc]backup-simplify: Simplify 0 into 0 1540326379.915 * [misc]backup-simplify: Simplify 0 into 0 1540326379.916 * [misc]backup-simplify: Simplify 0 into 0 1540326379.916 * [misc]backup-simplify: Simplify 0 into 0 1540326379.916 * [misc]backup-simplify: Simplify 0 into 0 1540326379.916 * [misc]backup-simplify: Simplify 0 into 0 1540326379.916 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540326379.916 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.916 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540326379.916 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326379.916 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326379.916 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326379.916 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326379.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.916 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.916 * [misc]taylor: Taking taylor expansion of k in k 1540326379.916 * [misc]backup-simplify: Simplify 0 into 0 1540326379.916 * [misc]backup-simplify: Simplify 1 into 1 1540326379.917 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.917 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.917 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.917 * [misc]backup-simplify: Simplify PI into PI 1540326379.917 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.917 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.918 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.918 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.919 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.919 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of k in k 1540326379.919 * [misc]backup-simplify: Simplify 0 into 0 1540326379.919 * [misc]backup-simplify: Simplify 1 into 1 1540326379.919 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.919 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.919 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.919 * [misc]backup-simplify: Simplify PI into PI 1540326379.920 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.920 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.920 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.921 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.921 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.921 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.921 * [misc]backup-simplify: Simplify 0 into 0 1540326379.921 * [misc]backup-simplify: Simplify 0 into 0 1540326379.921 * [misc]backup-simplify: Simplify 0 into 0 1540326379.922 * [misc]backup-simplify: Simplify 0 into 0 1540326379.922 * [misc]backup-simplify: Simplify 0 into 0 1540326379.922 * [misc]backup-simplify: Simplify 0 into 0 1540326379.922 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540326379.922 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1540326379.922 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540326379.922 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540326379.922 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326379.922 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326379.922 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326379.922 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.923 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.923 * [misc]taylor: Taking taylor expansion of k in k 1540326379.923 * [misc]backup-simplify: Simplify 0 into 0 1540326379.923 * [misc]backup-simplify: Simplify 1 into 1 1540326379.923 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.923 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.923 * [misc]backup-simplify: Simplify PI into PI 1540326379.923 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.923 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.923 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.924 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.924 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.925 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326379.925 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540326379.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540326379.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540326379.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.925 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.925 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.925 * [misc]taylor: Taking taylor expansion of k in k 1540326379.925 * [misc]backup-simplify: Simplify 0 into 0 1540326379.925 * [misc]backup-simplify: Simplify 1 into 1 1540326379.925 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.925 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.926 * [misc]backup-simplify: Simplify PI into PI 1540326379.926 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.926 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.926 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.926 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.927 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.928 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540326379.928 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540326379.932 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540326379.932 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326379.932 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.932 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.933 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540326379.937 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326379.938 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540326379.943 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540326379.944 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326379.944 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.944 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540326379.951 * [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))) 1540326379.953 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540326379.958 * [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)))) 1540326379.958 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.958 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540326379.958 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326379.958 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326379.959 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326379.959 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326379.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.959 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.959 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.959 * [misc]taylor: Taking taylor expansion of k in k 1540326379.959 * [misc]backup-simplify: Simplify 0 into 0 1540326379.959 * [misc]backup-simplify: Simplify 1 into 1 1540326379.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.959 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.959 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.959 * [misc]backup-simplify: Simplify PI into PI 1540326379.960 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.960 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.960 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.960 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.961 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326379.961 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.961 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326379.961 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540326379.961 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540326379.961 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326379.961 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.961 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.961 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.961 * [misc]taylor: Taking taylor expansion of k in k 1540326379.961 * [misc]backup-simplify: Simplify 0 into 0 1540326379.961 * [misc]backup-simplify: Simplify 1 into 1 1540326379.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.962 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.962 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.962 * [misc]backup-simplify: Simplify PI into PI 1540326379.962 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.962 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.962 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.962 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.963 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540326379.963 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.964 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540326379.964 * [misc]backup-simplify: Simplify 0 into 0 1540326379.964 * [misc]backup-simplify: Simplify 0 into 0 1540326379.964 * [misc]backup-simplify: Simplify 0 into 0 1540326379.964 * [misc]backup-simplify: Simplify 0 into 0 1540326379.964 * [misc]backup-simplify: Simplify 0 into 0 1540326379.964 * [misc]backup-simplify: Simplify 0 into 0 1540326379.964 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540326379.964 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.964 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540326379.964 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326379.964 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326379.965 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326379.965 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326379.965 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.965 * [misc]taylor: Taking taylor expansion of k in k 1540326379.965 * [misc]backup-simplify: Simplify 0 into 0 1540326379.965 * [misc]backup-simplify: Simplify 1 into 1 1540326379.965 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.965 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.965 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.965 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.965 * [misc]backup-simplify: Simplify PI into PI 1540326379.966 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.966 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.966 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.966 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.967 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.967 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.967 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of k in k 1540326379.967 * [misc]backup-simplify: Simplify 0 into 0 1540326379.967 * [misc]backup-simplify: Simplify 1 into 1 1540326379.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.967 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540326379.967 * [misc]taylor: Taking taylor expansion of PI in k 1540326379.967 * [misc]backup-simplify: Simplify PI into PI 1540326379.968 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540326379.968 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326379.968 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.969 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540326379.969 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.969 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540326379.969 * [misc]backup-simplify: Simplify 0 into 0 1540326379.969 * [misc]backup-simplify: Simplify 0 into 0 1540326379.969 * [misc]backup-simplify: Simplify 0 into 0 1540326379.969 * [misc]backup-simplify: Simplify 0 into 0 1540326379.969 * [misc]backup-simplify: Simplify 0 into 0 1540326379.969 * [misc]backup-simplify: Simplify 0 into 0 1540326379.970 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540326379.970 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1540326379.970 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540326379.970 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540326379.970 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540326379.970 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1540326379.970 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540326379.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540326379.971 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540326379.971 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540326379.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.971 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540326379.971 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.971 * [misc]taylor: Taking taylor expansion of k in n 1540326379.971 * [misc]backup-simplify: Simplify k into k 1540326379.971 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326379.971 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326379.971 * [misc]taylor: Taking taylor expansion of 2 in n 1540326379.971 * [misc]backup-simplify: Simplify 2 into 2 1540326379.971 * [misc]taylor: Taking taylor expansion of n in n 1540326379.971 * [misc]backup-simplify: Simplify 0 into 0 1540326379.971 * [misc]backup-simplify: Simplify 1 into 1 1540326379.971 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326379.971 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326379.971 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326379.972 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540326379.972 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540326379.972 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540326379.972 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326379.972 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540326379.973 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540326379.973 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1540326379.973 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540326379.973 * [misc]taylor: Taking taylor expansion of k in n 1540326379.973 * [misc]backup-simplify: Simplify k into k 1540326379.973 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540326379.973 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540326379.973 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540326379.973 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540326379.973 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326379.973 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326379.973 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326379.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.974 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.974 * [misc]taylor: Taking taylor expansion of k in k 1540326379.974 * [misc]backup-simplify: Simplify 0 into 0 1540326379.974 * [misc]backup-simplify: Simplify 1 into 1 1540326379.974 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326379.974 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326379.974 * [misc]taylor: Taking taylor expansion of 2 in k 1540326379.974 * [misc]backup-simplify: Simplify 2 into 2 1540326379.974 * [misc]taylor: Taking taylor expansion of n in k 1540326379.974 * [misc]backup-simplify: Simplify n into n 1540326379.974 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326379.974 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326379.974 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.974 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.974 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.975 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326379.975 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326379.975 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540326379.975 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326379.975 * [misc]taylor: Taking taylor expansion of k in k 1540326379.975 * [misc]backup-simplify: Simplify 0 into 0 1540326379.975 * [misc]backup-simplify: Simplify 1 into 1 1540326379.975 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326379.976 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326379.976 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.976 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326379.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.976 * [misc]taylor: Taking taylor expansion of k in k 1540326379.976 * [misc]backup-simplify: Simplify 0 into 0 1540326379.976 * [misc]backup-simplify: Simplify 1 into 1 1540326379.976 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540326379.976 * [misc]taylor: Taking taylor expansion of 2 in k 1540326379.976 * [misc]backup-simplify: Simplify 2 into 2 1540326379.976 * [misc]taylor: Taking taylor expansion of n in k 1540326379.976 * [misc]backup-simplify: Simplify n into n 1540326379.976 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540326379.976 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540326379.977 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540326379.977 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.977 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326379.977 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540326379.977 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540326379.977 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540326379.977 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540326379.977 * [misc]taylor: Taking taylor expansion of k in k 1540326379.977 * [misc]backup-simplify: Simplify 0 into 0 1540326379.977 * [misc]backup-simplify: Simplify 1 into 1 1540326379.978 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326379.978 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326379.978 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1540326379.978 * [misc]taylor: Taking taylor expansion of 0 in n 1540326379.978 * [misc]backup-simplify: Simplify 0 into 0 1540326379.978 * [misc]backup-simplify: Simplify 0 into 0 1540326379.979 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540326379.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540326379.983 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540326379.983 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326379.983 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326379.983 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540326379.984 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1540326379.986 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1540326379.988 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1540326379.988 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540326379.988 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540326379.988 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326379.988 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326379.988 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540326379.988 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540326379.988 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540326379.988 * [misc]taylor: Taking taylor expansion of n in n 1540326379.988 * [misc]backup-simplify: Simplify 0 into 0 1540326379.988 * [misc]backup-simplify: Simplify 1 into 1 1540326379.988 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326379.988 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326379.989 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326379.989 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326379.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326379.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326379.989 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326379.989 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326379.990 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326379.990 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540326379.991 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540326379.992 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326379.992 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326379.992 * [misc]backup-simplify: Simplify 0 into 0 1540326379.994 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326379.994 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540326379.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1540326379.996 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540326379.996 * [misc]backup-simplify: Simplify (- 0) into 0 1540326379.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326379.997 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540326379.999 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1540326380.006 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1540326380.013 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1540326380.013 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1540326380.013 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1540326380.013 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1540326380.013 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.013 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.013 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1540326380.013 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1540326380.013 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540326380.013 * [misc]taylor: Taking taylor expansion of 2 in n 1540326380.013 * [misc]backup-simplify: Simplify 2 into 2 1540326380.013 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540326380.014 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540326380.014 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of 2 in n 1540326380.014 * [misc]backup-simplify: Simplify 2 into 2 1540326380.014 * [misc]taylor: Taking taylor expansion of n in n 1540326380.014 * [misc]backup-simplify: Simplify 0 into 0 1540326380.014 * [misc]backup-simplify: Simplify 1 into 1 1540326380.014 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540326380.014 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540326380.014 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326380.014 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.014 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326380.014 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326380.014 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540326380.014 * [misc]taylor: Taking taylor expansion of n in n 1540326380.014 * [misc]backup-simplify: Simplify 0 into 0 1540326380.014 * [misc]backup-simplify: Simplify 1 into 1 1540326380.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.015 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326380.015 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326380.015 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540326380.015 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540326380.015 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.015 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.015 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540326380.015 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540326380.015 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540326380.015 * [misc]taylor: Taking taylor expansion of n in n 1540326380.015 * [misc]backup-simplify: Simplify 0 into 0 1540326380.015 * [misc]backup-simplify: Simplify 1 into 1 1540326380.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.015 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326380.016 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326380.016 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540326380.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.016 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540326380.016 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540326380.016 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326380.016 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540326380.017 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1540326380.018 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1540326380.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540326380.018 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540326380.018 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540326380.020 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326380.020 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540326380.021 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1540326380.023 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540326380.024 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1540326380.028 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540326380.029 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326380.029 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540326380.030 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540326380.030 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326380.037 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1540326380.047 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540326380.055 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540326380.057 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540326380.057 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326380.058 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326380.059 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326380.060 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1540326380.061 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540326380.061 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540326380.068 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540326380.069 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* 2 (/ 1 n)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540326380.069 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540326380.069 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.069 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.069 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of k in n 1540326380.069 * [misc]backup-simplify: Simplify k into k 1540326380.069 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.069 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326380.069 * [misc]taylor: Taking taylor expansion of 2 in n 1540326380.069 * [misc]backup-simplify: Simplify 2 into 2 1540326380.069 * [misc]taylor: Taking taylor expansion of n in n 1540326380.069 * [misc]backup-simplify: Simplify 0 into 0 1540326380.069 * [misc]backup-simplify: Simplify 1 into 1 1540326380.069 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326380.069 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326380.069 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.069 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326380.069 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326380.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326380.070 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326380.070 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326380.070 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.070 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540326380.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.070 * [misc]taylor: Taking taylor expansion of k in n 1540326380.070 * [misc]backup-simplify: Simplify k into k 1540326380.070 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.070 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540326380.071 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326380.071 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540326380.071 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of k in k 1540326380.071 * [misc]backup-simplify: Simplify 0 into 0 1540326380.071 * [misc]backup-simplify: Simplify 1 into 1 1540326380.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.071 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326380.071 * [misc]taylor: Taking taylor expansion of 2 in k 1540326380.071 * [misc]backup-simplify: Simplify 2 into 2 1540326380.071 * [misc]taylor: Taking taylor expansion of n in k 1540326380.071 * [misc]backup-simplify: Simplify n into n 1540326380.071 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326380.071 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326380.071 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326380.071 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326380.071 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326380.072 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326380.072 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326380.072 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540326380.072 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of k in k 1540326380.072 * [misc]backup-simplify: Simplify 0 into 0 1540326380.072 * [misc]backup-simplify: Simplify 1 into 1 1540326380.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.072 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326380.072 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326380.072 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326380.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326380.073 * [misc]taylor: Taking taylor expansion of k in k 1540326380.073 * [misc]backup-simplify: Simplify 0 into 0 1540326380.073 * [misc]backup-simplify: Simplify 1 into 1 1540326380.073 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.073 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540326380.073 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540326380.073 * [misc]taylor: Taking taylor expansion of 2 in k 1540326380.073 * [misc]backup-simplify: Simplify 2 into 2 1540326380.073 * [misc]taylor: Taking taylor expansion of n in k 1540326380.073 * [misc]backup-simplify: Simplify n into n 1540326380.073 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540326380.073 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540326380.073 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326380.073 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540326380.073 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540326380.073 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540326380.073 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540326380.073 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540326380.073 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540326380.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326380.073 * [misc]taylor: Taking taylor expansion of k in k 1540326380.074 * [misc]backup-simplify: Simplify 0 into 0 1540326380.074 * [misc]backup-simplify: Simplify 1 into 1 1540326380.074 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326380.074 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540326380.074 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540326380.074 * [misc]taylor: Taking taylor expansion of 0 in n 1540326380.074 * [misc]backup-simplify: Simplify 0 into 0 1540326380.074 * [misc]backup-simplify: Simplify 0 into 0 1540326380.074 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326380.075 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326380.075 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.075 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.075 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of k in n 1540326380.075 * [misc]backup-simplify: Simplify k into k 1540326380.075 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.075 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326380.075 * [misc]taylor: Taking taylor expansion of 2 in n 1540326380.075 * [misc]backup-simplify: Simplify 2 into 2 1540326380.075 * [misc]taylor: Taking taylor expansion of n in n 1540326380.075 * [misc]backup-simplify: Simplify 0 into 0 1540326380.075 * [misc]backup-simplify: Simplify 1 into 1 1540326380.075 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326380.075 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326380.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.075 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326380.076 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326380.076 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326380.076 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326380.076 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326380.076 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.077 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.077 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326380.077 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326380.077 * [misc]backup-simplify: Simplify 0 into 0 1540326380.077 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540326380.078 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326380.078 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326380.079 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326380.079 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.079 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.079 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of k in n 1540326380.079 * [misc]backup-simplify: Simplify k into k 1540326380.079 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.079 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326380.079 * [misc]taylor: Taking taylor expansion of 2 in n 1540326380.079 * [misc]backup-simplify: Simplify 2 into 2 1540326380.079 * [misc]taylor: Taking taylor expansion of n in n 1540326380.079 * [misc]backup-simplify: Simplify 0 into 0 1540326380.079 * [misc]backup-simplify: Simplify 1 into 1 1540326380.079 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326380.079 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326380.079 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.079 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326380.079 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326380.080 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326380.080 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326380.080 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326380.080 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.080 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.081 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326380.081 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326380.081 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540326380.083 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540326380.083 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326380.083 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326380.083 * [misc]backup-simplify: Simplify (- 0) into 0 1540326380.083 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326380.083 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326380.084 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540326380.084 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326380.085 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1540326380.085 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540326380.085 * [misc]backup-simplify: Simplify (- 0) into 0 1540326380.085 * [misc]backup-simplify: Simplify 0 into 0 1540326380.085 * [misc]backup-simplify: Simplify 0 into 0 1540326380.085 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326380.086 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326380.086 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540326380.087 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540326380.087 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.087 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.087 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.087 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of k in n 1540326380.087 * [misc]backup-simplify: Simplify k into k 1540326380.087 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.087 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540326380.087 * [misc]taylor: Taking taylor expansion of 2 in n 1540326380.087 * [misc]backup-simplify: Simplify 2 into 2 1540326380.087 * [misc]taylor: Taking taylor expansion of n in n 1540326380.087 * [misc]backup-simplify: Simplify 0 into 0 1540326380.087 * [misc]backup-simplify: Simplify 1 into 1 1540326380.087 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540326380.088 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540326380.088 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.088 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540326380.088 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540326380.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540326380.089 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540326380.089 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540326380.089 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.090 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540326380.090 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326380.091 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540326380.097 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540326380.097 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* 2 (/ 1 (- n))) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326380.097 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540326380.097 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326380.097 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540326380.097 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540326380.097 * [misc]taylor: Taking taylor expansion of -1 in n 1540326380.097 * [misc]backup-simplify: Simplify -1 into -1 1540326380.097 * [misc]taylor: Taking taylor expansion of k in n 1540326380.097 * [misc]backup-simplify: Simplify k into k 1540326380.097 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540326380.098 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540326380.098 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540326380.098 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540326380.098 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of k in n 1540326380.098 * [misc]backup-simplify: Simplify k into k 1540326380.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.098 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326380.098 * [misc]taylor: Taking taylor expansion of -2 in n 1540326380.098 * [misc]backup-simplify: Simplify -2 into -2 1540326380.098 * [misc]taylor: Taking taylor expansion of n in n 1540326380.098 * [misc]backup-simplify: Simplify 0 into 0 1540326380.098 * [misc]backup-simplify: Simplify 1 into 1 1540326380.099 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326380.099 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326380.099 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.099 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326380.100 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326380.100 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326380.100 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326380.101 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.101 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326380.101 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326380.101 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326380.101 * [misc]taylor: Taking taylor expansion of -1 in k 1540326380.101 * [misc]backup-simplify: Simplify -1 into -1 1540326380.101 * [misc]taylor: Taking taylor expansion of k in k 1540326380.101 * [misc]backup-simplify: Simplify 0 into 0 1540326380.101 * [misc]backup-simplify: Simplify 1 into 1 1540326380.101 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326380.101 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326380.102 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326380.102 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326380.102 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326380.102 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326380.102 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326380.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326380.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326380.102 * [misc]taylor: Taking taylor expansion of k in k 1540326380.102 * [misc]backup-simplify: Simplify 0 into 0 1540326380.102 * [misc]backup-simplify: Simplify 1 into 1 1540326380.102 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.103 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326380.103 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326380.103 * [misc]taylor: Taking taylor expansion of -2 in k 1540326380.103 * [misc]backup-simplify: Simplify -2 into -2 1540326380.103 * [misc]taylor: Taking taylor expansion of n in k 1540326380.103 * [misc]backup-simplify: Simplify n into n 1540326380.103 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326380.103 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326380.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326380.103 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326380.103 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326380.104 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326380.104 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326380.104 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540326380.104 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540326380.104 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540326380.104 * [misc]taylor: Taking taylor expansion of -1 in k 1540326380.104 * [misc]backup-simplify: Simplify -1 into -1 1540326380.104 * [misc]taylor: Taking taylor expansion of k in k 1540326380.104 * [misc]backup-simplify: Simplify 0 into 0 1540326380.104 * [misc]backup-simplify: Simplify 1 into 1 1540326380.104 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540326380.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540326380.105 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540326380.105 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540326380.105 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540326380.105 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540326380.105 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540326380.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540326380.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540326380.105 * [misc]taylor: Taking taylor expansion of k in k 1540326380.105 * [misc]backup-simplify: Simplify 0 into 0 1540326380.105 * [misc]backup-simplify: Simplify 1 into 1 1540326380.105 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540326380.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540326380.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.106 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540326380.106 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540326380.106 * [misc]taylor: Taking taylor expansion of -2 in k 1540326380.106 * [misc]backup-simplify: Simplify -2 into -2 1540326380.106 * [misc]taylor: Taking taylor expansion of n in k 1540326380.106 * [misc]backup-simplify: Simplify n into n 1540326380.106 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540326380.106 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540326380.106 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540326380.106 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540326380.106 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540326380.107 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540326380.107 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540326380.107 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.107 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.107 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.107 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of k in n 1540326380.107 * [misc]backup-simplify: Simplify k into k 1540326380.107 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.107 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326380.107 * [misc]taylor: Taking taylor expansion of -2 in n 1540326380.108 * [misc]backup-simplify: Simplify -2 into -2 1540326380.108 * [misc]taylor: Taking taylor expansion of n in n 1540326380.108 * [misc]backup-simplify: Simplify 0 into 0 1540326380.108 * [misc]backup-simplify: Simplify 1 into 1 1540326380.108 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326380.108 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326380.108 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.108 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326380.109 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326380.109 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326380.109 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326380.110 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.110 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540326380.112 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540326380.112 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326380.112 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.112 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.112 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.113 * [misc]taylor: Taking taylor expansion of k in n 1540326380.113 * [misc]backup-simplify: Simplify k into k 1540326380.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.113 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326380.113 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326380.113 * [misc]taylor: Taking taylor expansion of -2 in n 1540326380.113 * [misc]backup-simplify: Simplify -2 into -2 1540326380.113 * [misc]taylor: Taking taylor expansion of n in n 1540326380.113 * [misc]backup-simplify: Simplify 0 into 0 1540326380.113 * [misc]backup-simplify: Simplify 1 into 1 1540326380.113 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326380.113 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326380.113 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.113 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326380.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326380.114 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326380.114 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326380.115 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.115 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.116 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326380.116 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326380.116 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540326380.119 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540326380.119 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540326380.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540326380.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540326380.120 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326380.120 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540326380.122 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540326380.123 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1540326380.123 * [misc]backup-simplify: Simplify 0 into 0 1540326380.123 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540326380.125 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540326380.126 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540326380.126 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540326380.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540326380.126 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of k in n 1540326380.126 * [misc]backup-simplify: Simplify k into k 1540326380.126 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540326380.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540326380.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540326380.126 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540326380.126 * [misc]taylor: Taking taylor expansion of -2 in n 1540326380.126 * [misc]backup-simplify: Simplify -2 into -2 1540326380.126 * [misc]taylor: Taking taylor expansion of n in n 1540326380.126 * [misc]backup-simplify: Simplify 0 into 0 1540326380.126 * [misc]backup-simplify: Simplify 1 into 1 1540326380.127 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540326380.127 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540326380.127 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540326380.127 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540326380.127 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540326380.128 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540326380.128 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540326380.129 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.129 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540326380.129 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326380.130 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540326380.132 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540326380.132 * * * [misc]progress: simplifying candidates 1540326380.132 * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # 1540326380.132 * [enter]simplify: Simplifying (* (log (* 2 n)) (- 1/2 (/ k 2))) 1540326380.133 * * [misc]simplify: iters left: 6 (9 enodes) 1540326380.138 * * [misc]simplify: iters left: 5 (16 enodes) 1540326380.147 * * [misc]simplify: iters left: 4 (32 enodes) 1540326380.157 * * [misc]simplify: iters left: 3 (68 enodes) 1540326380.185 * * [misc]simplify: iters left: 2 (171 enodes) 1540326380.277 * * [misc]simplify: iters left: 1 (342 enodes) 1540326380.465 * [exit]simplify: Simplified to (* (log (* 2 n)) (- 1/2 (/ k 2))) 1540326380.465 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* 2 n)) (- 1/2 (/ k 2)))))))) 1540326380.465 * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # 1540326380.466 * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # 1540326380.466 * [enter]simplify: Simplifying (* 2 n) 1540326380.466 * * [misc]simplify: iters left: 2 (3 enodes) 1540326380.467 * * [misc]simplify: iters left: 1 (4 enodes) 1540326380.467 * [exit]simplify: Simplified to (* 2 n) 1540326380.467 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (* 1 (- 1/2 (/ k 2)))))))) 1540326380.467 * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # 1540326380.468 * [enter]simplify: Simplifying (pow (* 2 n) (/ k 2)) 1540326380.468 * * [misc]simplify: iters left: 3 (6 enodes) 1540326380.469 * * [misc]simplify: iters left: 2 (7 enodes) 1540326380.470 * [exit]simplify: Simplified to (pow (* 2 n) (/ k 2)) 1540326380.470 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* 2 n) 1/2) (pow (* 2 n) (/ k 2))))))) 1540326380.470 * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # 1540326380.470 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326380.471 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.472 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.473 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.475 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326380.475 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* 2 n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1540326380.475 * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # 1540326380.475 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326380.475 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.477 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.478 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.480 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326380.480 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* 2 n) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1540326380.480 * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # 1540326380.480 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326380.480 * * [misc]simplify: iters left: 4 (5 enodes) 1540326380.481 * * [misc]simplify: iters left: 3 (7 enodes) 1540326380.482 * * [misc]simplify: iters left: 2 (10 enodes) 1540326380.484 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326380.484 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* 2 n) 1) (- 1/2 (/ k 2))))))) 1540326380.484 * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # 1540326380.484 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540326380.485 * * [misc]simplify: iters left: 5 (7 enodes) 1540326380.486 * * [misc]simplify: iters left: 4 (10 enodes) 1540326380.488 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540326380.488 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) 1/2) (pow (* 2 n) (/ (- k) 2))))))) 1540326380.488 * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # 1540326380.488 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540326380.488 * * [misc]simplify: iters left: 5 (7 enodes) 1540326380.490 * * [misc]simplify: iters left: 4 (10 enodes) 1540326380.491 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540326380.491 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) 1/2) (pow (* 2 n) (/ (- k) 2))))))) 1540326380.491 * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # 1540326380.492 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540326380.492 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.493 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.494 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.496 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540326380.496 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))))) 1540326380.496 * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # 1540326380.496 * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # 1540326380.496 * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # 1540326380.496 * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # 1540326380.496 * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # 1540326380.497 * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # 1540326380.497 * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # 1540326380.497 * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # 1540326380.497 * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # 1540326380.497 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540326380.497 * * [misc]simplify: iters left: 3 (5 enodes) 1540326380.498 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540326380.498 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.498 * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # 1540326380.498 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326380.498 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.500 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.503 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.506 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326380.506 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.506 * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # 1540326380.506 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326380.507 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.509 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.512 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.516 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326380.516 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.516 * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # 1540326380.517 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326380.517 * * [misc]simplify: iters left: 4 (5 enodes) 1540326380.519 * * [misc]simplify: iters left: 3 (7 enodes) 1540326380.522 * * [misc]simplify: iters left: 2 (10 enodes) 1540326380.525 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326380.525 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.525 * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # 1540326380.525 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540326380.526 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.528 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.531 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540326380.531 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.531 * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # 1540326380.531 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540326380.535 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.537 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.540 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540326380.540 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.540 * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # 1540326380.540 * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # 1540326380.540 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540326380.540 * * [misc]simplify: iters left: 3 (5 enodes) 1540326380.541 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540326380.541 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.541 * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # 1540326380.541 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540326380.542 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.543 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.544 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.546 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540326380.546 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.546 * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # 1540326380.546 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540326380.546 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.548 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.549 * * [misc]simplify: iters left: 3 (11 enodes) 1540326380.551 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540326380.551 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.551 * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # 1540326380.551 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540326380.551 * * [misc]simplify: iters left: 4 (5 enodes) 1540326380.552 * * [misc]simplify: iters left: 3 (7 enodes) 1540326380.553 * * [misc]simplify: iters left: 2 (10 enodes) 1540326380.555 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540326380.555 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.555 * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # 1540326380.555 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540326380.556 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.557 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.558 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540326380.558 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.558 * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # 1540326380.558 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540326380.558 * * [misc]simplify: iters left: 5 (6 enodes) 1540326380.560 * * [misc]simplify: iters left: 4 (8 enodes) 1540326380.561 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540326380.561 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326380.561 * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # 1540326380.561 * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # 1540326380.562 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* 2 n)) (- 1/2 (/ k 2)))) 1540326380.562 * * [misc]simplify: iters left: 6 (12 enodes) 1540326380.566 * * [misc]simplify: iters left: 5 (21 enodes) 1540326380.575 * * [misc]simplify: iters left: 4 (44 enodes) 1540326380.604 * * [misc]simplify: iters left: 3 (125 enodes) 1540326380.699 * * [misc]simplify: iters left: 2 (343 enodes) 1540326380.894 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* 2 n)))) 1540326380.894 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* 2 n)))))))) 1540326380.894 * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # 1540326380.894 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* 2 n)) (- 1/2 (/ k 2)))) 1540326380.895 * * [misc]simplify: iters left: 6 (12 enodes) 1540326380.898 * * [misc]simplify: iters left: 5 (21 enodes) 1540326380.905 * * [misc]simplify: iters left: 4 (44 enodes) 1540326380.921 * * [misc]simplify: iters left: 3 (125 enodes) 1540326380.989 * * [misc]simplify: iters left: 2 (343 enodes) 1540326381.253 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* 2 n)))) 1540326381.253 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* 2 n)))))))) 1540326381.253 * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # 1540326381.254 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326381.255 * * [misc]simplify: iters left: 6 (12 enodes) 1540326381.260 * * [misc]simplify: iters left: 5 (19 enodes) 1540326381.275 * * [misc]simplify: iters left: 4 (32 enodes) 1540326381.291 * * [misc]simplify: iters left: 3 (67 enodes) 1540326381.337 * * [misc]simplify: iters left: 2 (194 enodes) 1540326381.513 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* 2 n)) (- 1/2 (/ k 2)))) 1540326381.513 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* 2 n)) (- 1/2 (/ k 2)))))))) 1540326381.513 * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # 1540326381.513 * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # 1540326381.513 * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # 1540326381.513 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326381.515 * * [misc]simplify: iters left: 6 (14 enodes) 1540326381.521 * * [misc]simplify: iters left: 5 (26 enodes) 1540326381.533 * * [misc]simplify: iters left: 4 (58 enodes) 1540326381.563 * * [misc]simplify: iters left: 3 (117 enodes) 1540326381.619 * * [misc]simplify: iters left: 2 (193 enodes) 1540326381.730 * * [misc]simplify: iters left: 1 (263 enodes) 1540326381.856 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326381.856 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326381.856 * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # 1540326381.856 * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # 1540326381.856 * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # 1540326381.856 * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # 1540326381.856 * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # 1540326381.856 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 n) 1/2)) 1540326381.857 * * [misc]simplify: iters left: 6 (10 enodes) 1540326381.859 * * [misc]simplify: iters left: 5 (14 enodes) 1540326381.861 * * [misc]simplify: iters left: 4 (16 enodes) 1540326381.863 * * [misc]simplify: iters left: 3 (17 enodes) 1540326381.866 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) 1540326381.866 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326381.867 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326381.867 * * [misc]simplify: iters left: 6 (10 enodes) 1540326381.869 * * [misc]simplify: iters left: 5 (13 enodes) 1540326381.871 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326381.871 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326381.871 * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # 1540326381.871 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 n) 1/2)) 1540326381.872 * * [misc]simplify: iters left: 6 (10 enodes) 1540326381.874 * * [misc]simplify: iters left: 5 (14 enodes) 1540326381.876 * * [misc]simplify: iters left: 4 (16 enodes) 1540326381.878 * * [misc]simplify: iters left: 3 (17 enodes) 1540326381.881 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) 1540326381.881 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326381.882 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326381.882 * * [misc]simplify: iters left: 6 (10 enodes) 1540326381.884 * * [misc]simplify: iters left: 5 (13 enodes) 1540326381.887 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326381.887 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326381.887 * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # 1540326381.887 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540326381.887 * * [misc]simplify: iters left: 6 (10 enodes) 1540326381.889 * * [misc]simplify: iters left: 5 (14 enodes) 1540326381.892 * * [misc]simplify: iters left: 4 (19 enodes) 1540326381.896 * * [misc]simplify: iters left: 3 (20 enodes) 1540326381.900 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540326381.900 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540326381.900 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540326381.901 * * [misc]simplify: iters left: 6 (10 enodes) 1540326381.905 * * [misc]simplify: iters left: 5 (12 enodes) 1540326381.909 * * [misc]simplify: iters left: 4 (15 enodes) 1540326381.914 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540326381.914 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540326381.914 * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # 1540326381.915 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326381.916 * * [misc]simplify: iters left: 6 (14 enodes) 1540326381.922 * * [misc]simplify: iters left: 5 (23 enodes) 1540326381.931 * * [misc]simplify: iters left: 4 (35 enodes) 1540326381.942 * * [misc]simplify: iters left: 3 (38 enodes) 1540326381.953 * * [misc]simplify: iters left: 2 (41 enodes) 1540326381.969 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326381.969 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326381.969 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326381.970 * * [misc]simplify: iters left: 6 (12 enodes) 1540326381.975 * * [misc]simplify: iters left: 5 (15 enodes) 1540326381.980 * * [misc]simplify: iters left: 4 (18 enodes) 1540326381.987 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326381.987 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326381.987 * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # 1540326381.987 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326381.989 * * [misc]simplify: iters left: 6 (13 enodes) 1540326381.994 * * [misc]simplify: iters left: 5 (18 enodes) 1540326382.000 * * [misc]simplify: iters left: 4 (23 enodes) 1540326382.007 * * [misc]simplify: iters left: 3 (24 enodes) 1540326382.015 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.015 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.016 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.017 * * [misc]simplify: iters left: 6 (12 enodes) 1540326382.023 * * [misc]simplify: iters left: 5 (15 enodes) 1540326382.028 * * [misc]simplify: iters left: 4 (18 enodes) 1540326382.035 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.035 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.035 * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # 1540326382.035 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540326382.036 * * [misc]simplify: iters left: 6 (6 enodes) 1540326382.039 * * [misc]simplify: iters left: 5 (10 enodes) 1540326382.043 * * [misc]simplify: iters left: 4 (16 enodes) 1540326382.048 * * [misc]simplify: iters left: 3 (18 enodes) 1540326382.052 * * [misc]simplify: iters left: 2 (23 enodes) 1540326382.055 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326382.055 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.055 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.056 * * [misc]simplify: iters left: 6 (11 enodes) 1540326382.058 * * [misc]simplify: iters left: 5 (14 enodes) 1540326382.060 * * [misc]simplify: iters left: 4 (17 enodes) 1540326382.063 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.063 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.063 * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # 1540326382.064 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) 1/2)) 1540326382.064 * * [misc]simplify: iters left: 5 (9 enodes) 1540326382.066 * * [misc]simplify: iters left: 4 (11 enodes) 1540326382.067 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1540326382.067 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.068 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326382.068 * * [misc]simplify: iters left: 6 (10 enodes) 1540326382.070 * * [misc]simplify: iters left: 5 (13 enodes) 1540326382.072 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326382.072 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.073 * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # 1540326382.073 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) 1/2)) 1540326382.073 * * [misc]simplify: iters left: 5 (9 enodes) 1540326382.075 * * [misc]simplify: iters left: 4 (11 enodes) 1540326382.077 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1540326382.077 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.077 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326382.077 * * [misc]simplify: iters left: 6 (10 enodes) 1540326382.079 * * [misc]simplify: iters left: 5 (13 enodes) 1540326382.085 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540326382.085 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.085 * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # 1540326382.085 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326382.087 * * [misc]simplify: iters left: 6 (9 enodes) 1540326382.090 * * [misc]simplify: iters left: 5 (11 enodes) 1540326382.094 * * [misc]simplify: iters left: 4 (14 enodes) 1540326382.099 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540326382.099 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540326382.099 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540326382.100 * * [misc]simplify: iters left: 6 (10 enodes) 1540326382.105 * * [misc]simplify: iters left: 5 (12 enodes) 1540326382.109 * * [misc]simplify: iters left: 4 (15 enodes) 1540326382.113 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540326382.113 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540326382.113 * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # 1540326382.113 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326382.114 * * [misc]simplify: iters left: 6 (13 enodes) 1540326382.116 * * [misc]simplify: iters left: 5 (18 enodes) 1540326382.119 * * [misc]simplify: iters left: 4 (21 enodes) 1540326382.123 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326382.123 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.123 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.125 * * [misc]simplify: iters left: 6 (12 enodes) 1540326382.127 * * [misc]simplify: iters left: 5 (15 enodes) 1540326382.130 * * [misc]simplify: iters left: 4 (18 enodes) 1540326382.133 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.133 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.133 * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # 1540326382.133 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.134 * * [misc]simplify: iters left: 6 (12 enodes) 1540326382.137 * * [misc]simplify: iters left: 5 (15 enodes) 1540326382.139 * * [misc]simplify: iters left: 4 (18 enodes) 1540326382.145 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.145 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.146 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.147 * * [misc]simplify: iters left: 6 (12 enodes) 1540326382.151 * * [misc]simplify: iters left: 5 (15 enodes) 1540326382.157 * * [misc]simplify: iters left: 4 (18 enodes) 1540326382.163 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.163 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.163 * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # 1540326382.164 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540326382.164 * * [misc]simplify: iters left: 4 (5 enodes) 1540326382.166 * * [misc]simplify: iters left: 3 (7 enodes) 1540326382.169 * * [misc]simplify: iters left: 2 (9 enodes) 1540326382.171 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326382.171 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.171 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.172 * * [misc]simplify: iters left: 6 (11 enodes) 1540326382.176 * * [misc]simplify: iters left: 5 (14 enodes) 1540326382.181 * * [misc]simplify: iters left: 4 (17 enodes) 1540326382.187 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.188 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.188 * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # 1540326382.188 * [enter]simplify: Simplifying (/ 1 (pow (* 2 n) 1/2)) 1540326382.189 * * [misc]simplify: iters left: 5 (7 enodes) 1540326382.191 * * [misc]simplify: iters left: 4 (11 enodes) 1540326382.195 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1540326382.195 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.195 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540326382.196 * * [misc]simplify: iters left: 6 (9 enodes) 1540326382.197 * * [misc]simplify: iters left: 5 (12 enodes) 1540326382.199 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540326382.199 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.199 * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # 1540326382.200 * [enter]simplify: Simplifying (/ 1 (pow (* 2 n) 1/2)) 1540326382.200 * * [misc]simplify: iters left: 5 (7 enodes) 1540326382.201 * * [misc]simplify: iters left: 4 (11 enodes) 1540326382.203 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1540326382.203 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.203 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540326382.203 * * [misc]simplify: iters left: 6 (9 enodes) 1540326382.205 * * [misc]simplify: iters left: 5 (12 enodes) 1540326382.207 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540326382.207 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540326382.207 * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # 1540326382.207 * [enter]simplify: Simplifying (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1540326382.208 * * [misc]simplify: iters left: 6 (8 enodes) 1540326382.209 * * [misc]simplify: iters left: 5 (12 enodes) 1540326382.211 * * [misc]simplify: iters left: 4 (15 enodes) 1540326382.214 * [exit]simplify: Simplified to (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1540326382.214 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))))) 1540326382.214 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 1540326382.214 * * [misc]simplify: iters left: 6 (9 enodes) 1540326382.216 * * [misc]simplify: iters left: 5 (11 enodes) 1540326382.218 * * [misc]simplify: iters left: 4 (14 enodes) 1540326382.220 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 1540326382.220 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))))) 1540326382.220 * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # 1540326382.220 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540326382.222 * * [misc]simplify: iters left: 6 (12 enodes) 1540326382.225 * * [misc]simplify: iters left: 5 (19 enodes) 1540326382.231 * * [misc]simplify: iters left: 4 (22 enodes) 1540326382.238 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326382.238 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.238 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.239 * * [misc]simplify: iters left: 6 (11 enodes) 1540326382.243 * * [misc]simplify: iters left: 5 (14 enodes) 1540326382.248 * * [misc]simplify: iters left: 4 (17 enodes) 1540326382.253 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.253 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.254 * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # 1540326382.254 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.255 * * [misc]simplify: iters left: 6 (11 enodes) 1540326382.258 * * [misc]simplify: iters left: 5 (16 enodes) 1540326382.261 * * [misc]simplify: iters left: 4 (19 enodes) 1540326382.264 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540326382.264 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.264 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.265 * * [misc]simplify: iters left: 6 (11 enodes) 1540326382.267 * * [misc]simplify: iters left: 5 (14 enodes) 1540326382.269 * * [misc]simplify: iters left: 4 (17 enodes) 1540326382.272 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540326382.272 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540326382.273 * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # 1540326382.273 * [enter]simplify: Simplifying (/ 1 1) 1540326382.273 * * [misc]simplify: iters left: 2 (2 enodes) 1540326382.273 * * [misc]simplify: iters left: 1 (4 enodes) 1540326382.274 * [exit]simplify: Simplified to 1 1540326382.274 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.274 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.274 * * [misc]simplify: iters left: 6 (10 enodes) 1540326382.276 * * [misc]simplify: iters left: 5 (13 enodes) 1540326382.278 * * [misc]simplify: iters left: 4 (16 enodes) 1540326382.281 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.281 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.281 * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # 1540326382.281 * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # 1540326382.281 * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # 1540326382.281 * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # 1540326382.281 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540326382.282 * * [misc]simplify: iters left: 5 (7 enodes) 1540326382.283 * * [misc]simplify: iters left: 4 (10 enodes) 1540326382.285 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540326382.285 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* 2 n) 1/2)) (pow (* 2 n) (/ (- k) 2)))))) 1540326382.285 * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # 1540326382.285 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540326382.286 * * [misc]simplify: iters left: 5 (7 enodes) 1540326382.287 * * [misc]simplify: iters left: 4 (10 enodes) 1540326382.290 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540326382.290 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* 2 n) 1/2)) (pow (* 2 n) (/ (- k) 2)))))) 1540326382.290 * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # 1540326382.290 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540326382.291 * * [misc]simplify: iters left: 5 (7 enodes) 1540326382.293 * * [misc]simplify: iters left: 4 (9 enodes) 1540326382.297 * * [misc]simplify: iters left: 3 (12 enodes) 1540326382.301 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540326382.301 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))))) 1540326382.301 * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # 1540326382.301 * [enter]simplify: Simplifying (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.302 * * [misc]simplify: iters left: 6 (9 enodes) 1540326382.306 * * [misc]simplify: iters left: 5 (12 enodes) 1540326382.310 * * [misc]simplify: iters left: 4 (15 enodes) 1540326382.315 * [exit]simplify: Simplified to (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.315 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.316 * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # 1540326382.316 * [enter]simplify: Simplifying (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.317 * * [misc]simplify: iters left: 6 (9 enodes) 1540326382.320 * * [misc]simplify: iters left: 5 (12 enodes) 1540326382.327 * * [misc]simplify: iters left: 4 (15 enodes) 1540326382.332 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540326382.332 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540326382.332 * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # 1540326382.332 * [enter]simplify: Simplifying (pow (* 2 n) (- 1/2 (/ k 2))) 1540326382.333 * * [misc]simplify: iters left: 5 (8 enodes) 1540326382.336 * * [misc]simplify: iters left: 4 (11 enodes) 1540326382.340 * * [misc]simplify: iters left: 3 (14 enodes) 1540326382.342 * [exit]simplify: Simplified to (pow (* 2 n) (- 1/2 (/ k 2))) 1540326382.342 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326382.342 * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # 1540326382.342 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326382.342 * * [misc]simplify: iters left: 4 (4 enodes) 1540326382.343 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540326382.343 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1540326382.343 * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # 1540326382.343 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540326382.344 * * [misc]simplify: iters left: 2 (3 enodes) 1540326382.345 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540326382.345 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1540326382.345 * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # 1540326382.345 * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # 1540326382.345 * [enter]simplify: Simplifying (pow (* 2 n) (/ k 2)) 1540326382.345 * * [misc]simplify: iters left: 3 (6 enodes) 1540326382.346 * * [misc]simplify: iters left: 2 (7 enodes) 1540326382.347 * [exit]simplify: Simplified to (pow (* 2 n) (/ k 2)) 1540326382.347 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* 2 n) 1/2)) (pow (* 2 n) (/ k 2)))))) 1540326382.347 * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # 1540326382.348 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1540326382.350 * * [misc]simplify: iters left: 6 (35 enodes) 1540326382.363 * * [misc]simplify: iters left: 5 (99 enodes) 1540326382.415 * * [misc]simplify: iters left: 4 (298 enodes) 1540326382.894 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1540326382.894 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))))))) 1540326382.894 * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # 1540326382.894 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540326382.896 * * [misc]simplify: iters left: 6 (13 enodes) 1540326382.904 * * [misc]simplify: iters left: 5 (27 enodes) 1540326382.910 * * [misc]simplify: iters left: 4 (53 enodes) 1540326382.926 * * [misc]simplify: iters left: 3 (116 enodes) 1540326383.016 * * [misc]simplify: iters left: 2 (362 enodes) 1540326383.364 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1540326383.364 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k)))))) 1540326383.365 * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # 1540326383.365 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540326383.366 * * [misc]simplify: iters left: 6 (13 enodes) 1540326383.370 * * [misc]simplify: iters left: 5 (24 enodes) 1540326383.377 * * [misc]simplify: iters left: 4 (54 enodes) 1540326383.400 * * [misc]simplify: iters left: 3 (143 enodes) 1540326383.587 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1540326383.587 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))))))) 1540326383.587 * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # 1540326383.589 * [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)))) 1540326383.591 * * [misc]simplify: iters left: 6 (18 enodes) 1540326383.601 * * [misc]simplify: iters left: 5 (39 enodes) 1540326383.629 * * [misc]simplify: iters left: 4 (104 enodes) 1540326383.683 * * [misc]simplify: iters left: 3 (275 enodes) 1540326383.928 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1540326383.928 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326383.928 * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # 1540326383.929 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540326383.929 * * [misc]simplify: iters left: 5 (6 enodes) 1540326383.932 * * [misc]simplify: iters left: 4 (9 enodes) 1540326383.937 * * [misc]simplify: iters left: 3 (17 enodes) 1540326383.943 * * [misc]simplify: iters left: 2 (20 enodes) 1540326383.948 * * [misc]simplify: iters left: 1 (24 enodes) 1540326383.960 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540326383.961 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326383.961 * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # 1540326383.961 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540326383.961 * * [misc]simplify: iters left: 5 (6 enodes) 1540326383.964 * * [misc]simplify: iters left: 4 (9 enodes) 1540326383.970 * * [misc]simplify: iters left: 3 (17 enodes) 1540326383.975 * * [misc]simplify: iters left: 2 (20 enodes) 1540326383.981 * * [misc]simplify: iters left: 1 (24 enodes) 1540326383.993 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540326383.993 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326383.993 * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # 1540326383.993 * [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)))) 1540326383.995 * * [misc]simplify: iters left: 6 (18 enodes) 1540326384.005 * * [misc]simplify: iters left: 5 (39 enodes) 1540326384.029 * * [misc]simplify: iters left: 4 (104 enodes) 1540326384.090 * * [misc]simplify: iters left: 3 (275 enodes) 1540326384.336 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1540326384.336 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326384.336 * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # 1540326384.337 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540326384.337 * * [misc]simplify: iters left: 5 (6 enodes) 1540326384.340 * * [misc]simplify: iters left: 4 (9 enodes) 1540326384.345 * * [misc]simplify: iters left: 3 (17 enodes) 1540326384.350 * * [misc]simplify: iters left: 2 (20 enodes) 1540326384.356 * * [misc]simplify: iters left: 1 (24 enodes) 1540326384.373 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540326384.373 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326384.373 * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # 1540326384.373 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540326384.374 * * [misc]simplify: iters left: 5 (6 enodes) 1540326384.376 * * [misc]simplify: iters left: 4 (9 enodes) 1540326384.381 * * [misc]simplify: iters left: 3 (17 enodes) 1540326384.386 * * [misc]simplify: iters left: 2 (20 enodes) 1540326384.392 * * [misc]simplify: iters left: 1 (24 enodes) 1540326384.404 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540326384.404 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540326384.404 * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # 1540326384.405 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540326384.405 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1540326384.405 * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # 1540326384.405 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540326384.405 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1540326384.405 * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # 1540326384.405 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540326384.405 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1540326384.406 * * * [misc]progress: adding candidates to table 1540326387.233 * [misc]progress: [Phase 3 of 3] Extracting. 1540326387.233 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1540326387.238 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1540326387.238 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1540326387.337 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1540326387.455 * * * [misc]regime: Found split indices: #