1546420514.918 * [misc]progress: [Phase 1 of 3] Setting up. 1546420514.918 * * * [misc]progress: [1/2] Preparing points 1546420514.918 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1546420514.978 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420514.978 * * * * [misc]points: Sampling 188 additional inputs, on iter 1 have 68 / 256 1546420515.026 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.026 * * * * [misc]points: Sampling 143 additional inputs, on iter 2 have 113 / 256 1546420515.070 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.070 * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 147 / 256 1546420515.087 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.087 * * * * [misc]points: Sampling 84 additional inputs, on iter 4 have 172 / 256 1546420515.102 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.102 * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 1546420515.121 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.121 * * * * [misc]points: Sampling 48 additional inputs, on iter 6 have 208 / 256 1546420515.138 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.138 * * * * [misc]points: Sampling 42 additional inputs, on iter 7 have 214 / 256 1546420515.154 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.154 * * * * [misc]points: Sampling 31 additional inputs, on iter 8 have 225 / 256 1546420515.164 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.164 * * * * [misc]points: Sampling 25 additional inputs, on iter 9 have 231 / 256 1546420515.170 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.170 * * * * [misc]points: Sampling 17 additional inputs, on iter 10 have 239 / 256 1546420515.175 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.175 * * * * [misc]points: Sampling 17 additional inputs, on iter 11 have 239 / 256 1546420515.180 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.180 * * * * [misc]points: Sampling 14 additional inputs, on iter 12 have 242 / 256 1546420515.185 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.185 * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 1546420515.189 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.189 * * * * [misc]points: Sampling 9 additional inputs, on iter 14 have 247 / 256 1546420515.213 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.213 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1546420515.217 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.217 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1546420515.223 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.223 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 1546420515.227 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.227 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 253 / 256 1546420515.231 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.231 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1546420515.237 * * * * [misc]points: Filtering points with unrepresentable outputs 1546420515.238 * * * * [exit]points: Sampled 256 points with exact outputs 1546420515.238 * * * [misc]progress: [2/2] Setting up program. 1546420515.244 * [misc]progress: [Phase 2 of 3] Improving. 1546420515.244 * * * * [misc]progress: [ 1 / 1 ] simplifiying candidate # 1546420515.244 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1546420515.244 * * [misc]simplify: iters left: 6 (13 enodes) 1546420515.249 * * [misc]simplify: iters left: 5 (28 enodes) 1546420515.257 * * [misc]simplify: iters left: 4 (44 enodes) 1546420515.270 * * [misc]simplify: iters left: 3 (54 enodes) 1546420515.281 * * [misc]simplify: iters left: 2 (57 enodes) 1546420515.294 * * [misc]simplify: iters left: 1 (65 enodes) 1546420515.310 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546420515.310 * [misc]simplify: Simplified (2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1546420515.323 * * [misc]progress: iteration 1 / 4 1546420515.323 * * * [misc]progress: picking best candidate 1546420515.334 * * * * [misc]pick: Picked # 1546420515.334 * * * [misc]progress: localizing error 1546420515.381 * * * [misc]progress: generating rewritten candidates 1546420515.381 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1546420515.383 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1546420515.384 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1546420515.389 * * * [misc]progress: generating series expansions 1546420515.389 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1546420515.389 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546420515.390 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546420515.390 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.390 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.390 * [misc]taylor: Taking taylor expansion of k in k 1546420515.390 * [misc]backup-simplify: Simplify 0 into 0 1546420515.390 * [misc]backup-simplify: Simplify 1 into 1 1546420515.390 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.390 * [misc]backup-simplify: Simplify 2 into 2 1546420515.390 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420515.390 * [misc]taylor: Taking taylor expansion of n in k 1546420515.390 * [misc]backup-simplify: Simplify n into n 1546420515.390 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.390 * [misc]backup-simplify: Simplify PI into PI 1546420515.390 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420515.390 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420515.390 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420515.390 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420515.390 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.390 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.391 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420515.391 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420515.391 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.391 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.391 * [misc]taylor: Taking taylor expansion of k in n 1546420515.391 * [misc]backup-simplify: Simplify k into k 1546420515.391 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.391 * [misc]backup-simplify: Simplify 2 into 2 1546420515.391 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420515.391 * [misc]taylor: Taking taylor expansion of n in n 1546420515.391 * [misc]backup-simplify: Simplify 0 into 0 1546420515.391 * [misc]backup-simplify: Simplify 1 into 1 1546420515.391 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.391 * [misc]backup-simplify: Simplify PI into PI 1546420515.391 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420515.391 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420515.392 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420515.392 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420515.392 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.392 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420515.393 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420515.393 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420515.393 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.393 * [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)))) 1546420515.394 * [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))))) 1546420515.394 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.394 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.394 * [misc]taylor: Taking taylor expansion of k in n 1546420515.394 * [misc]backup-simplify: Simplify k into k 1546420515.394 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.394 * [misc]backup-simplify: Simplify 2 into 2 1546420515.394 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420515.394 * [misc]taylor: Taking taylor expansion of n in n 1546420515.394 * [misc]backup-simplify: Simplify 0 into 0 1546420515.394 * [misc]backup-simplify: Simplify 1 into 1 1546420515.394 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.394 * [misc]backup-simplify: Simplify PI into PI 1546420515.394 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420515.394 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420515.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420515.395 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420515.395 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.395 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420515.395 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420515.396 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420515.396 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.396 * [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)))) 1546420515.397 * [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))))) 1546420515.397 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.397 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.397 * [misc]taylor: Taking taylor expansion of k in k 1546420515.397 * [misc]backup-simplify: Simplify 0 into 0 1546420515.397 * [misc]backup-simplify: Simplify 1 into 1 1546420515.397 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of n in k 1546420515.397 * [misc]backup-simplify: Simplify n into n 1546420515.397 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420515.397 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546420515.397 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.397 * [misc]backup-simplify: Simplify 2 into 2 1546420515.397 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.397 * [misc]backup-simplify: Simplify PI into PI 1546420515.397 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.398 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.398 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420515.398 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.398 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.398 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.399 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546420515.399 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546420515.399 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546420515.400 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420515.401 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420515.402 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420515.402 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546420515.402 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.403 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.403 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546420515.404 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420515.404 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.404 * [misc]backup-simplify: Simplify 0 into 0 1546420515.404 * [misc]backup-simplify: Simplify 0 into 0 1546420515.405 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546420515.405 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420515.407 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420515.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.407 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420515.407 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420515.407 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420515.408 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546420515.409 * [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))))))) 1546420515.409 * [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))))))) 1546420515.410 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.411 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546420515.414 * [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 1546420515.415 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546420515.415 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.415 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.416 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546420515.418 * [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 1546420515.418 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.418 * [misc]backup-simplify: Simplify 0 into 0 1546420515.418 * [misc]backup-simplify: Simplify 0 into 0 1546420515.418 * [misc]backup-simplify: Simplify 0 into 0 1546420515.420 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546420515.421 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.426 * [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 1546420515.426 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.427 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420515.427 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.427 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.428 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546420515.430 * [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))))) 1546420515.432 * [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))))) 1546420515.438 * [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))))) 1546420515.438 * [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)))) 1546420515.438 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546420515.438 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.439 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of k in k 1546420515.439 * [misc]backup-simplify: Simplify 0 into 0 1546420515.439 * [misc]backup-simplify: Simplify 1 into 1 1546420515.439 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.439 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.439 * [misc]backup-simplify: Simplify 2 into 2 1546420515.439 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420515.439 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.439 * [misc]backup-simplify: Simplify PI into PI 1546420515.439 * [misc]taylor: Taking taylor expansion of n in k 1546420515.439 * [misc]backup-simplify: Simplify n into n 1546420515.439 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420515.439 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420515.440 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420515.440 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.440 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420515.440 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420515.440 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420515.440 * [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)))) 1546420515.440 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.441 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.441 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of k in n 1546420515.441 * [misc]backup-simplify: Simplify k into k 1546420515.441 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.441 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.441 * [misc]backup-simplify: Simplify 2 into 2 1546420515.441 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.441 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.441 * [misc]backup-simplify: Simplify PI into PI 1546420515.441 * [misc]taylor: Taking taylor expansion of n in n 1546420515.441 * [misc]backup-simplify: Simplify 0 into 0 1546420515.441 * [misc]backup-simplify: Simplify 1 into 1 1546420515.442 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.442 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.442 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.442 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.442 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420515.443 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420515.443 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.444 * [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))) 1546420515.444 * [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)))) 1546420515.444 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of k in n 1546420515.444 * [misc]backup-simplify: Simplify k into k 1546420515.444 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.444 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.444 * [misc]backup-simplify: Simplify 2 into 2 1546420515.444 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.444 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.444 * [misc]backup-simplify: Simplify PI into PI 1546420515.444 * [misc]taylor: Taking taylor expansion of n in n 1546420515.444 * [misc]backup-simplify: Simplify 0 into 0 1546420515.444 * [misc]backup-simplify: Simplify 1 into 1 1546420515.445 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.445 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.445 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.445 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.445 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420515.445 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420515.446 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.446 * [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))) 1546420515.446 * [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)))) 1546420515.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546420515.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546420515.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.447 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.447 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of k in k 1546420515.447 * [misc]backup-simplify: Simplify 0 into 0 1546420515.447 * [misc]backup-simplify: Simplify 1 into 1 1546420515.447 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.447 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.447 * [misc]backup-simplify: Simplify 2 into 2 1546420515.447 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.447 * [misc]backup-simplify: Simplify PI into PI 1546420515.447 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.447 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.447 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420515.447 * [misc]taylor: Taking taylor expansion of n in k 1546420515.447 * [misc]backup-simplify: Simplify n into n 1546420515.447 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420515.448 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.448 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420515.448 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420515.448 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420515.448 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546420515.448 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546420515.449 * [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)))) 1546420515.449 * [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)))) 1546420515.450 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420515.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420515.452 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420515.452 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420515.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420515.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.453 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.453 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546420515.454 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420515.454 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.454 * [misc]backup-simplify: Simplify 0 into 0 1546420515.454 * [misc]backup-simplify: Simplify 0 into 0 1546420515.454 * [misc]backup-simplify: Simplify 0 into 0 1546420515.455 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.459 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1546420515.459 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420515.459 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.459 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.460 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.460 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546420515.461 * [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 1546420515.461 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.462 * [misc]backup-simplify: Simplify 0 into 0 1546420515.462 * [misc]backup-simplify: Simplify 0 into 0 1546420515.462 * [misc]backup-simplify: Simplify 0 into 0 1546420515.462 * [misc]backup-simplify: Simplify 0 into 0 1546420515.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.467 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.472 * [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 1546420515.472 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.472 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420515.472 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.473 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.473 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.473 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546420515.476 * [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 1546420515.476 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.476 * [misc]backup-simplify: Simplify 0 into 0 1546420515.476 * [misc]backup-simplify: Simplify 0 into 0 1546420515.477 * [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))))) 1546420515.477 * [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)) 1546420515.477 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546420515.477 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420515.477 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420515.477 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420515.477 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420515.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.478 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.478 * [misc]taylor: Taking taylor expansion of k in k 1546420515.478 * [misc]backup-simplify: Simplify 0 into 0 1546420515.478 * [misc]backup-simplify: Simplify 1 into 1 1546420515.478 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.478 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.478 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420515.478 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420515.478 * [misc]taylor: Taking taylor expansion of -2 in k 1546420515.478 * [misc]backup-simplify: Simplify -2 into -2 1546420515.478 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420515.478 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.478 * [misc]backup-simplify: Simplify PI into PI 1546420515.478 * [misc]taylor: Taking taylor expansion of n in k 1546420515.478 * [misc]backup-simplify: Simplify n into n 1546420515.478 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420515.478 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420515.478 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420515.478 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.479 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.479 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420515.479 * [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))) 1546420515.479 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420515.479 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420515.479 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420515.479 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420515.479 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.479 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.479 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.479 * [misc]taylor: Taking taylor expansion of k in n 1546420515.479 * [misc]backup-simplify: Simplify k into k 1546420515.479 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.479 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.480 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420515.480 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420515.480 * [misc]taylor: Taking taylor expansion of -2 in n 1546420515.480 * [misc]backup-simplify: Simplify -2 into -2 1546420515.480 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.480 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.480 * [misc]backup-simplify: Simplify PI into PI 1546420515.480 * [misc]taylor: Taking taylor expansion of n in n 1546420515.480 * [misc]backup-simplify: Simplify 0 into 0 1546420515.480 * [misc]backup-simplify: Simplify 1 into 1 1546420515.480 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.480 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.481 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420515.481 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.481 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420515.482 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.482 * [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))) 1546420515.483 * [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)))) 1546420515.483 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420515.483 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420515.483 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420515.483 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420515.483 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.483 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.483 * [misc]taylor: Taking taylor expansion of k in n 1546420515.483 * [misc]backup-simplify: Simplify k into k 1546420515.483 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.483 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420515.484 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420515.484 * [misc]taylor: Taking taylor expansion of -2 in n 1546420515.484 * [misc]backup-simplify: Simplify -2 into -2 1546420515.484 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.484 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.484 * [misc]backup-simplify: Simplify PI into PI 1546420515.484 * [misc]taylor: Taking taylor expansion of n in n 1546420515.484 * [misc]backup-simplify: Simplify 0 into 0 1546420515.484 * [misc]backup-simplify: Simplify 1 into 1 1546420515.484 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.484 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.485 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420515.485 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.485 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420515.486 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.486 * [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))) 1546420515.487 * [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)))) 1546420515.487 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of k in k 1546420515.487 * [misc]backup-simplify: Simplify 0 into 0 1546420515.487 * [misc]backup-simplify: Simplify 1 into 1 1546420515.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.487 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546420515.487 * [misc]taylor: Taking taylor expansion of -2 in k 1546420515.487 * [misc]backup-simplify: Simplify -2 into -2 1546420515.487 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.487 * [misc]backup-simplify: Simplify PI into PI 1546420515.488 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.488 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420515.488 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420515.488 * [misc]taylor: Taking taylor expansion of n in k 1546420515.488 * [misc]backup-simplify: Simplify n into n 1546420515.488 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420515.488 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.488 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.488 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420515.489 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546420515.489 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546420515.490 * [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)))) 1546420515.490 * [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)))) 1546420515.491 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420515.491 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420515.493 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546420515.493 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420515.493 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420515.493 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.494 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546420515.495 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420515.495 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.495 * [misc]backup-simplify: Simplify 0 into 0 1546420515.495 * [misc]backup-simplify: Simplify 0 into 0 1546420515.495 * [misc]backup-simplify: Simplify 0 into 0 1546420515.496 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.497 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.500 * [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 1546420515.500 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420515.500 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.501 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.501 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546420515.502 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546420515.503 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.503 * [misc]backup-simplify: Simplify 0 into 0 1546420515.503 * [misc]backup-simplify: Simplify 0 into 0 1546420515.503 * [misc]backup-simplify: Simplify 0 into 0 1546420515.503 * [misc]backup-simplify: Simplify 0 into 0 1546420515.504 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.505 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.509 * [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 1546420515.509 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.509 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420515.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.511 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546420515.513 * [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 1546420515.513 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.513 * [misc]backup-simplify: Simplify 0 into 0 1546420515.513 * [misc]backup-simplify: Simplify 0 into 0 1546420515.513 * [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))))) 1546420515.513 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1546420515.513 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546420515.513 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546420515.513 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420515.513 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.513 * [misc]backup-simplify: Simplify 2 into 2 1546420515.513 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420515.513 * [misc]taylor: Taking taylor expansion of n in n 1546420515.513 * [misc]backup-simplify: Simplify 0 into 0 1546420515.514 * [misc]backup-simplify: Simplify 1 into 1 1546420515.514 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.514 * [misc]backup-simplify: Simplify PI into PI 1546420515.514 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420515.514 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.514 * [misc]backup-simplify: Simplify 2 into 2 1546420515.514 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420515.514 * [misc]taylor: Taking taylor expansion of n in n 1546420515.514 * [misc]backup-simplify: Simplify 0 into 0 1546420515.514 * [misc]backup-simplify: Simplify 1 into 1 1546420515.514 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.514 * [misc]backup-simplify: Simplify PI into PI 1546420515.514 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420515.514 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420515.514 * [misc]backup-simplify: Simplify 0 into 0 1546420515.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420515.515 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420515.515 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.516 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420515.516 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420515.516 * [misc]backup-simplify: Simplify 0 into 0 1546420515.517 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.518 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546420515.518 * [misc]backup-simplify: Simplify 0 into 0 1546420515.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420515.521 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546420515.522 * [misc]backup-simplify: Simplify 0 into 0 1546420515.524 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546420515.525 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546420515.525 * [misc]backup-simplify: Simplify 0 into 0 1546420515.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546420515.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546420515.529 * [misc]backup-simplify: Simplify 0 into 0 1546420515.532 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546420515.534 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546420515.534 * [misc]backup-simplify: Simplify 0 into 0 1546420515.534 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546420515.534 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546420515.534 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546420515.534 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420515.534 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.534 * [misc]backup-simplify: Simplify 2 into 2 1546420515.534 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.534 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.534 * [misc]backup-simplify: Simplify PI into PI 1546420515.534 * [misc]taylor: Taking taylor expansion of n in n 1546420515.534 * [misc]backup-simplify: Simplify 0 into 0 1546420515.534 * [misc]backup-simplify: Simplify 1 into 1 1546420515.535 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.535 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420515.535 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.535 * [misc]backup-simplify: Simplify 2 into 2 1546420515.535 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.535 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.535 * [misc]backup-simplify: Simplify PI into PI 1546420515.535 * [misc]taylor: Taking taylor expansion of n in n 1546420515.535 * [misc]backup-simplify: Simplify 0 into 0 1546420515.535 * [misc]backup-simplify: Simplify 1 into 1 1546420515.535 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.535 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.535 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420515.536 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420515.536 * [misc]backup-simplify: Simplify 0 into 0 1546420515.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.538 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.538 * [misc]backup-simplify: Simplify 0 into 0 1546420515.539 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.540 * [misc]backup-simplify: Simplify 0 into 0 1546420515.541 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.542 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420515.542 * [misc]backup-simplify: Simplify 0 into 0 1546420515.544 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.545 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546420515.545 * [misc]backup-simplify: Simplify 0 into 0 1546420515.547 * [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 1546420515.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546420515.549 * [misc]backup-simplify: Simplify 0 into 0 1546420515.549 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546420515.549 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546420515.549 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546420515.549 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420515.549 * [misc]taylor: Taking taylor expansion of -2 in n 1546420515.549 * [misc]backup-simplify: Simplify -2 into -2 1546420515.549 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.549 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.549 * [misc]backup-simplify: Simplify PI into PI 1546420515.549 * [misc]taylor: Taking taylor expansion of n in n 1546420515.549 * [misc]backup-simplify: Simplify 0 into 0 1546420515.549 * [misc]backup-simplify: Simplify 1 into 1 1546420515.549 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.549 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420515.549 * [misc]taylor: Taking taylor expansion of -2 in n 1546420515.549 * [misc]backup-simplify: Simplify -2 into -2 1546420515.549 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.549 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.549 * [misc]backup-simplify: Simplify PI into PI 1546420515.549 * [misc]taylor: Taking taylor expansion of n in n 1546420515.549 * [misc]backup-simplify: Simplify 0 into 0 1546420515.549 * [misc]backup-simplify: Simplify 1 into 1 1546420515.550 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.550 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.550 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.551 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420515.551 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420515.551 * [misc]backup-simplify: Simplify 0 into 0 1546420515.552 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.552 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.552 * [misc]backup-simplify: Simplify 0 into 0 1546420515.553 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.554 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.554 * [misc]backup-simplify: Simplify 0 into 0 1546420515.555 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.556 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420515.557 * [misc]backup-simplify: Simplify 0 into 0 1546420515.558 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.559 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546420515.559 * [misc]backup-simplify: Simplify 0 into 0 1546420515.561 * [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 1546420515.563 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546420515.563 * [misc]backup-simplify: Simplify 0 into 0 1546420515.563 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546420515.563 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1546420515.563 * [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)))) 1546420515.563 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1546420515.563 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546420515.563 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420515.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.563 * [misc]taylor: Taking taylor expansion of k in k 1546420515.563 * [misc]backup-simplify: Simplify 0 into 0 1546420515.563 * [misc]backup-simplify: Simplify 1 into 1 1546420515.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.563 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420515.564 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420515.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.564 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.564 * [misc]taylor: Taking taylor expansion of k in k 1546420515.564 * [misc]backup-simplify: Simplify 0 into 0 1546420515.564 * [misc]backup-simplify: Simplify 1 into 1 1546420515.564 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.564 * [misc]backup-simplify: Simplify 2 into 2 1546420515.564 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420515.564 * [misc]taylor: Taking taylor expansion of n in k 1546420515.564 * [misc]backup-simplify: Simplify n into n 1546420515.564 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.564 * [misc]backup-simplify: Simplify PI into PI 1546420515.564 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420515.564 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420515.564 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420515.564 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420515.564 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.565 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420515.565 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420515.565 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of k in n 1546420515.565 * [misc]backup-simplify: Simplify k into k 1546420515.565 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.565 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420515.565 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420515.565 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420515.565 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.565 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.565 * [misc]taylor: Taking taylor expansion of k in n 1546420515.565 * [misc]backup-simplify: Simplify k into k 1546420515.565 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.565 * [misc]backup-simplify: Simplify 2 into 2 1546420515.565 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420515.565 * [misc]taylor: Taking taylor expansion of n in n 1546420515.565 * [misc]backup-simplify: Simplify 0 into 0 1546420515.565 * [misc]backup-simplify: Simplify 1 into 1 1546420515.565 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.565 * [misc]backup-simplify: Simplify PI into PI 1546420515.566 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420515.566 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420515.566 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420515.566 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420515.568 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.568 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420515.568 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420515.568 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420515.569 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.569 * [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)))) 1546420515.569 * [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))))) 1546420515.569 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546420515.569 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420515.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.569 * [misc]taylor: Taking taylor expansion of k in n 1546420515.569 * [misc]backup-simplify: Simplify k into k 1546420515.570 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.570 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420515.570 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420515.570 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420515.570 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.570 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.570 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.570 * [misc]taylor: Taking taylor expansion of k in n 1546420515.570 * [misc]backup-simplify: Simplify k into k 1546420515.570 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.570 * [misc]backup-simplify: Simplify 2 into 2 1546420515.570 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420515.570 * [misc]taylor: Taking taylor expansion of n in n 1546420515.570 * [misc]backup-simplify: Simplify 0 into 0 1546420515.570 * [misc]backup-simplify: Simplify 1 into 1 1546420515.570 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.570 * [misc]backup-simplify: Simplify PI into PI 1546420515.570 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420515.570 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420515.571 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420515.571 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420515.571 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.571 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420515.571 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420515.572 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420515.572 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.572 * [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)))) 1546420515.573 * [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))))) 1546420515.573 * [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))) 1546420515.573 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.573 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.573 * [misc]taylor: Taking taylor expansion of k in k 1546420515.573 * [misc]backup-simplify: Simplify 0 into 0 1546420515.573 * [misc]backup-simplify: Simplify 1 into 1 1546420515.573 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420515.573 * [misc]taylor: Taking taylor expansion of n in k 1546420515.573 * [misc]backup-simplify: Simplify n into n 1546420515.573 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420515.573 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546420515.574 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546420515.574 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.574 * [misc]backup-simplify: Simplify 2 into 2 1546420515.574 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.574 * [misc]backup-simplify: Simplify PI into PI 1546420515.574 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.574 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.574 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420515.574 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.574 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.575 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.575 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546420515.575 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546420515.575 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420515.576 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.576 * [misc]taylor: Taking taylor expansion of k in k 1546420515.576 * [misc]backup-simplify: Simplify 0 into 0 1546420515.576 * [misc]backup-simplify: Simplify 1 into 1 1546420515.576 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.576 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420515.576 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420515.576 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1546420515.576 * [misc]backup-simplify: Simplify 0 into 0 1546420515.577 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420515.578 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420515.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420515.580 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546420515.580 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.580 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.581 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.581 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546420515.583 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420515.583 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1546420515.583 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.583 * [misc]backup-simplify: Simplify 0 into 0 1546420515.584 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546420515.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420515.588 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420515.588 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.588 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420515.588 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420515.588 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420515.589 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546420515.590 * [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))))))) 1546420515.592 * [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))))))) 1546420515.593 * [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))))))) 1546420515.595 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.597 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546420515.602 * [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 1546420515.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546420515.602 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.603 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.604 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546420515.606 * [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 1546420515.606 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.607 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1546420515.607 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1546420515.608 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.608 * [misc]backup-simplify: Simplify 0 into 0 1546420515.608 * [misc]backup-simplify: Simplify 0 into 0 1546420515.608 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420515.608 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420515.609 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546420515.610 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.613 * [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 1546420515.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.613 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420515.613 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.613 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546420515.615 * [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))))) 1546420515.618 * [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)))))))) 1546420515.620 * [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)))))))) 1546420515.621 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420515.622 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546420515.627 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1546420515.627 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1546420515.627 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.628 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420515.628 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546420515.630 * [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 1546420515.631 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.631 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1546420515.632 * [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 1546420515.632 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.632 * [misc]backup-simplify: Simplify 0 into 0 1546420515.632 * [misc]backup-simplify: Simplify 0 into 0 1546420515.632 * [misc]backup-simplify: Simplify 0 into 0 1546420515.632 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.633 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420515.636 * [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 1546420515.638 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.646 * [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 1546420515.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420515.646 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.647 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1546420515.651 * [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))))))) 1546420515.660 * [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)))))))))))))) 1546420515.667 * [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)))))))))))))) 1546420515.678 * [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)))))))))))))))))))))) 1546420515.678 * [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))))) 1546420515.678 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1546420515.678 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420515.678 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420515.678 * [misc]taylor: Taking taylor expansion of k in k 1546420515.678 * [misc]backup-simplify: Simplify 0 into 0 1546420515.678 * [misc]backup-simplify: Simplify 1 into 1 1546420515.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420515.679 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420515.679 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420515.679 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420515.679 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420515.679 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420515.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.679 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.679 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.679 * [misc]taylor: Taking taylor expansion of k in k 1546420515.679 * [misc]backup-simplify: Simplify 0 into 0 1546420515.679 * [misc]backup-simplify: Simplify 1 into 1 1546420515.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.680 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420515.680 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420515.680 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.680 * [misc]backup-simplify: Simplify 2 into 2 1546420515.680 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420515.680 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.680 * [misc]backup-simplify: Simplify PI into PI 1546420515.680 * [misc]taylor: Taking taylor expansion of n in k 1546420515.680 * [misc]backup-simplify: Simplify n into n 1546420515.680 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420515.680 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420515.680 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420515.680 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.680 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420515.681 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420515.681 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420515.681 * [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)))) 1546420515.681 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of k in n 1546420515.681 * [misc]backup-simplify: Simplify k into k 1546420515.681 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420515.681 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420515.681 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.681 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.681 * [misc]taylor: Taking taylor expansion of k in n 1546420515.682 * [misc]backup-simplify: Simplify k into k 1546420515.682 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.682 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420515.682 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420515.682 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.682 * [misc]backup-simplify: Simplify 2 into 2 1546420515.682 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.682 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.682 * [misc]backup-simplify: Simplify PI into PI 1546420515.682 * [misc]taylor: Taking taylor expansion of n in n 1546420515.682 * [misc]backup-simplify: Simplify 0 into 0 1546420515.682 * [misc]backup-simplify: Simplify 1 into 1 1546420515.682 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.682 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.683 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.683 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.683 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420515.683 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420515.684 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.684 * [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))) 1546420515.685 * [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)))) 1546420515.685 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of k in n 1546420515.685 * [misc]backup-simplify: Simplify k into k 1546420515.685 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420515.685 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420515.685 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.685 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.686 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.686 * [misc]taylor: Taking taylor expansion of k in n 1546420515.686 * [misc]backup-simplify: Simplify k into k 1546420515.686 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.686 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420515.686 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420515.686 * [misc]taylor: Taking taylor expansion of 2 in n 1546420515.686 * [misc]backup-simplify: Simplify 2 into 2 1546420515.686 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.686 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.686 * [misc]backup-simplify: Simplify PI into PI 1546420515.686 * [misc]taylor: Taking taylor expansion of n in n 1546420515.686 * [misc]backup-simplify: Simplify 0 into 0 1546420515.686 * [misc]backup-simplify: Simplify 1 into 1 1546420515.686 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.686 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.687 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.687 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.687 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420515.687 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420515.688 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.688 * [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))) 1546420515.689 * [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)))) 1546420515.690 * [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)) 1546420515.690 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of k in k 1546420515.690 * [misc]backup-simplify: Simplify 0 into 0 1546420515.690 * [misc]backup-simplify: Simplify 1 into 1 1546420515.690 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.690 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546420515.690 * [misc]taylor: Taking taylor expansion of 2 in k 1546420515.690 * [misc]backup-simplify: Simplify 2 into 2 1546420515.690 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.691 * [misc]backup-simplify: Simplify PI into PI 1546420515.691 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420515.691 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420515.691 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420515.691 * [misc]taylor: Taking taylor expansion of n in k 1546420515.691 * [misc]backup-simplify: Simplify n into n 1546420515.691 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420515.692 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.692 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420515.692 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420515.692 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420515.692 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546420515.693 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546420515.694 * [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)))) 1546420515.694 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420515.694 * [misc]taylor: Taking taylor expansion of k in k 1546420515.694 * [misc]backup-simplify: Simplify 0 into 0 1546420515.694 * [misc]backup-simplify: Simplify 1 into 1 1546420515.694 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420515.694 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420515.695 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1546420515.695 * [misc]backup-simplify: Simplify 0 into 0 1546420515.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420515.697 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420515.700 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420515.700 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420515.700 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420515.700 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.701 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.702 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546420515.703 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420515.704 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546420515.704 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.704 * [misc]backup-simplify: Simplify 0 into 0 1546420515.704 * [misc]backup-simplify: Simplify 0 into 0 1546420515.706 * [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)))))) 1546420515.707 * [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)))))) 1546420515.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.709 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.714 * [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 1546420515.714 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420515.715 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.716 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.717 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546420515.719 * [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 1546420515.720 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1546420515.720 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546420515.720 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.720 * [misc]backup-simplify: Simplify 0 into 0 1546420515.720 * [misc]backup-simplify: Simplify 0 into 0 1546420515.720 * [misc]backup-simplify: Simplify 0 into 0 1546420515.721 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420515.722 * [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)))))) 1546420515.722 * [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)))))) 1546420515.723 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.724 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420515.728 * [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 1546420515.728 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.729 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420515.729 * [misc]backup-simplify: Simplify (- 0) into 0 1546420515.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420515.730 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546420515.732 * [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 1546420515.732 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1546420515.733 * [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 1546420515.733 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.733 * [misc]backup-simplify: Simplify 0 into 0 1546420515.733 * [misc]backup-simplify: Simplify 0 into 0 1546420515.733 * [misc]backup-simplify: Simplify 0 into 0 1546420515.733 * [misc]backup-simplify: Simplify 0 into 0 1546420515.734 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420515.735 * [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)))))) 1546420515.735 * [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)))))) 1546420515.737 * [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)))))))) 1546420515.737 * [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))) 1546420515.737 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1546420515.737 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.737 * [misc]taylor: Taking taylor expansion of k in k 1546420515.737 * [misc]backup-simplify: Simplify 0 into 0 1546420515.737 * [misc]backup-simplify: Simplify 1 into 1 1546420515.737 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.737 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.737 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420515.738 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420515.738 * [misc]taylor: Taking taylor expansion of -2 in k 1546420515.738 * [misc]backup-simplify: Simplify -2 into -2 1546420515.738 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420515.738 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.738 * [misc]backup-simplify: Simplify PI into PI 1546420515.738 * [misc]taylor: Taking taylor expansion of n in k 1546420515.738 * [misc]backup-simplify: Simplify n into n 1546420515.738 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420515.738 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420515.738 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420515.738 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.738 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.738 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420515.738 * [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))) 1546420515.738 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420515.738 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420515.738 * [misc]taylor: Taking taylor expansion of -1 in k 1546420515.738 * [misc]backup-simplify: Simplify -1 into -1 1546420515.738 * [misc]taylor: Taking taylor expansion of k in k 1546420515.738 * [misc]backup-simplify: Simplify 0 into 0 1546420515.738 * [misc]backup-simplify: Simplify 1 into 1 1546420515.738 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420515.739 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420515.739 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420515.739 * [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)))) 1546420515.739 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.739 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of k in n 1546420515.739 * [misc]backup-simplify: Simplify k into k 1546420515.739 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.739 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of -2 in n 1546420515.739 * [misc]backup-simplify: Simplify -2 into -2 1546420515.739 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.739 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.739 * [misc]backup-simplify: Simplify PI into PI 1546420515.739 * [misc]taylor: Taking taylor expansion of n in n 1546420515.739 * [misc]backup-simplify: Simplify 0 into 0 1546420515.740 * [misc]backup-simplify: Simplify 1 into 1 1546420515.740 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.740 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.740 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420515.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.740 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420515.741 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.741 * [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))) 1546420515.741 * [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)))) 1546420515.741 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420515.741 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420515.741 * [misc]taylor: Taking taylor expansion of -1 in n 1546420515.741 * [misc]backup-simplify: Simplify -1 into -1 1546420515.742 * [misc]taylor: Taking taylor expansion of k in n 1546420515.742 * [misc]backup-simplify: Simplify k into k 1546420515.742 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420515.742 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420515.742 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420515.742 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420515.742 * [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))) 1546420515.742 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of k in n 1546420515.742 * [misc]backup-simplify: Simplify k into k 1546420515.742 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420515.742 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420515.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.742 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420515.742 * [misc]taylor: Taking taylor expansion of -2 in n 1546420515.742 * [misc]backup-simplify: Simplify -2 into -2 1546420515.742 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420515.743 * [misc]taylor: Taking taylor expansion of PI in n 1546420515.743 * [misc]backup-simplify: Simplify PI into PI 1546420515.743 * [misc]taylor: Taking taylor expansion of n in n 1546420515.743 * [misc]backup-simplify: Simplify 0 into 0 1546420515.743 * [misc]backup-simplify: Simplify 1 into 1 1546420515.743 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420515.743 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.743 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420515.743 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420515.743 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420515.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.744 * [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))) 1546420515.744 * [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)))) 1546420515.745 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420515.745 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420515.745 * [misc]taylor: Taking taylor expansion of -1 in n 1546420515.745 * [misc]backup-simplify: Simplify -1 into -1 1546420515.745 * [misc]taylor: Taking taylor expansion of k in n 1546420515.745 * [misc]backup-simplify: Simplify k into k 1546420515.745 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420515.745 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420515.745 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420515.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420515.745 * [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))) 1546420515.745 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1546420515.745 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546420515.745 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546420515.745 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420515.745 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420515.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420515.745 * [misc]taylor: Taking taylor expansion of k in k 1546420515.745 * [misc]backup-simplify: Simplify 0 into 0 1546420515.745 * [misc]backup-simplify: Simplify 1 into 1 1546420515.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420515.746 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420515.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420515.746 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546420515.746 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546420515.746 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546420515.746 * [misc]taylor: Taking taylor expansion of -2 in k 1546420515.746 * [misc]backup-simplify: Simplify -2 into -2 1546420515.746 * [misc]taylor: Taking taylor expansion of PI in k 1546420515.746 * [misc]backup-simplify: Simplify PI into PI 1546420515.746 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420515.746 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420515.746 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420515.746 * [misc]taylor: Taking taylor expansion of n in k 1546420515.746 * [misc]backup-simplify: Simplify n into n 1546420515.746 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420515.746 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420515.746 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420515.747 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420515.747 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546420515.747 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546420515.748 * [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)))) 1546420515.748 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420515.748 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420515.748 * [misc]taylor: Taking taylor expansion of -1 in k 1546420515.748 * [misc]backup-simplify: Simplify -1 into -1 1546420515.748 * [misc]taylor: Taking taylor expansion of k in k 1546420515.748 * [misc]backup-simplify: Simplify 0 into 0 1546420515.748 * [misc]backup-simplify: Simplify 1 into 1 1546420515.748 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420515.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420515.749 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420515.749 * [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))))) 1546420515.750 * [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))))) 1546420515.751 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420515.752 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420515.754 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546420515.755 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420515.755 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420515.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.757 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546420515.759 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420515.759 * [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 1546420515.760 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.760 * [misc]backup-simplify: Simplify 0 into 0 1546420515.760 * [misc]backup-simplify: Simplify 0 into 0 1546420515.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420515.761 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420515.762 * [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)))))) 1546420515.763 * [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)))))) 1546420515.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.766 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420515.770 * [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 1546420515.771 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.771 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420515.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420515.772 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420515.773 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546420515.775 * [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 1546420515.775 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420515.776 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1546420515.777 * [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 1546420515.777 * [misc]taylor: Taking taylor expansion of 0 in k 1546420515.777 * [misc]backup-simplify: Simplify 0 into 0 1546420515.777 * [misc]backup-simplify: Simplify 0 into 0 1546420515.777 * [misc]backup-simplify: Simplify 0 into 0 1546420515.777 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420515.779 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420515.780 * [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)))))) 1546420515.781 * [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)))))) 1546420515.784 * [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))))))))))) 1546420515.784 * * * [misc]progress: simplifying candidates 1546420515.784 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1546420515.784 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546420515.784 * * [misc]simplify: iters left: 6 (11 enodes) 1546420515.788 * * [misc]simplify: iters left: 5 (21 enodes) 1546420515.795 * * [misc]simplify: iters left: 4 (47 enodes) 1546420515.812 * * [misc]simplify: iters left: 3 (109 enodes) 1546420515.842 * * [misc]simplify: iters left: 2 (300 enodes) 1546420516.020 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546420516.021 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1546420516.021 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1546420516.021 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1546420516.021 * [enter]simplify: Simplifying (* PI (* n 2)) 1546420516.021 * * [misc]simplify: iters left: 4 (5 enodes) 1546420516.023 * * [misc]simplify: iters left: 3 (9 enodes) 1546420516.026 * * [misc]simplify: iters left: 2 (15 enodes) 1546420516.030 * * [misc]simplify: iters left: 1 (17 enodes) 1546420516.034 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546420516.034 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1546420516.034 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1546420516.034 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546420516.034 * * [misc]simplify: iters left: 5 (8 enodes) 1546420516.037 * * [misc]simplify: iters left: 4 (12 enodes) 1546420516.040 * * [misc]simplify: iters left: 3 (18 enodes) 1546420516.045 * * [misc]simplify: iters left: 2 (20 enodes) 1546420516.050 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546420516.050 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1546420516.051 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1546420516.051 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546420516.051 * * [misc]simplify: iters left: 5 (6 enodes) 1546420516.053 * * [misc]simplify: iters left: 4 (8 enodes) 1546420516.055 * * [misc]simplify: iters left: 3 (11 enodes) 1546420516.058 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546420516.058 * [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))) 1546420516.058 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1546420516.058 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546420516.058 * * [misc]simplify: iters left: 5 (6 enodes) 1546420516.060 * * [misc]simplify: iters left: 4 (8 enodes) 1546420516.062 * * [misc]simplify: iters left: 3 (11 enodes) 1546420516.065 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546420516.066 * [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))) 1546420516.066 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1546420516.066 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546420516.066 * * [misc]simplify: iters left: 4 (5 enodes) 1546420516.067 * * [misc]simplify: iters left: 3 (7 enodes) 1546420516.069 * * [misc]simplify: iters left: 2 (10 enodes) 1546420516.072 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546420516.072 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1546420516.073 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1546420516.073 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546420516.073 * * [misc]simplify: iters left: 5 (9 enodes) 1546420516.076 * * [misc]simplify: iters left: 4 (15 enodes) 1546420516.081 * * [misc]simplify: iters left: 3 (21 enodes) 1546420516.086 * * [misc]simplify: iters left: 2 (22 enodes) 1546420516.092 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546420516.092 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546420516.092 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1546420516.092 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546420516.093 * * [misc]simplify: iters left: 5 (9 enodes) 1546420516.096 * * [misc]simplify: iters left: 4 (15 enodes) 1546420516.103 * * [misc]simplify: iters left: 3 (21 enodes) 1546420516.109 * * [misc]simplify: iters left: 2 (22 enodes) 1546420516.114 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546420516.114 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1546420516.114 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1546420516.115 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546420516.115 * * [misc]simplify: iters left: 5 (7 enodes) 1546420516.117 * * [misc]simplify: iters left: 4 (9 enodes) 1546420516.119 * * [misc]simplify: iters left: 3 (12 enodes) 1546420516.123 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546420516.123 * [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))) 1546420516.123 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1546420516.123 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1546420516.124 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1546420516.124 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1546420516.124 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1546420516.124 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1546420516.124 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1546420516.124 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546420516.124 * * [misc]simplify: iters left: 6 (14 enodes) 1546420516.129 * * [misc]simplify: iters left: 5 (26 enodes) 1546420516.138 * * [misc]simplify: iters left: 4 (53 enodes) 1546420516.158 * * [misc]simplify: iters left: 3 (137 enodes) 1546420516.237 * * [misc]simplify: iters left: 2 (487 enodes) 1546420516.769 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1546420516.769 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1546420516.769 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1546420516.770 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1546420516.770 * * [misc]simplify: iters left: 6 (14 enodes) 1546420516.774 * * [misc]simplify: iters left: 5 (26 enodes) 1546420516.783 * * [misc]simplify: iters left: 4 (53 enodes) 1546420516.803 * * [misc]simplify: iters left: 3 (137 enodes) 1546420516.888 * * [misc]simplify: iters left: 2 (487 enodes) 1546420517.726 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1546420517.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1546420517.726 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1546420517.727 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1546420517.727 * * [misc]simplify: iters left: 6 (14 enodes) 1546420517.729 * * [misc]simplify: iters left: 5 (24 enodes) 1546420517.733 * * [misc]simplify: iters left: 4 (42 enodes) 1546420517.739 * * [misc]simplify: iters left: 3 (71 enodes) 1546420517.764 * * [misc]simplify: iters left: 2 (208 enodes) 1546420518.039 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1546420518.039 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1546420518.039 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1546420518.040 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1546420518.040 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1546420518.040 * [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))) 1546420518.040 * * [misc]simplify: iters left: 6 (16 enodes) 1546420518.046 * * [misc]simplify: iters left: 5 (31 enodes) 1546420518.056 * * [misc]simplify: iters left: 4 (67 enodes) 1546420518.072 * * [misc]simplify: iters left: 3 (124 enodes) 1546420518.097 * * [misc]simplify: iters left: 2 (195 enodes) 1546420518.137 * * [misc]simplify: iters left: 1 (309 enodes) 1546420518.262 * [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)))) 1546420518.262 * [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)))))) 1546420518.262 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1546420518.262 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1546420518.262 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1546420518.262 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1546420518.263 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1546420518.263 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.263 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.267 * * [misc]simplify: iters left: 5 (19 enodes) 1546420518.272 * * [misc]simplify: iters left: 4 (25 enodes) 1546420518.279 * * [misc]simplify: iters left: 3 (26 enodes) 1546420518.285 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.285 * [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))))) 1546420518.285 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546420518.285 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.289 * * [misc]simplify: iters left: 5 (18 enodes) 1546420518.294 * * [misc]simplify: iters left: 4 (24 enodes) 1546420518.300 * * [misc]simplify: iters left: 3 (25 enodes) 1546420518.307 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546420518.307 * [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))))) 1546420518.307 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1546420518.307 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546420518.307 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.310 * * [misc]simplify: iters left: 5 (16 enodes) 1546420518.313 * * [misc]simplify: iters left: 4 (22 enodes) 1546420518.316 * * [misc]simplify: iters left: 3 (24 enodes) 1546420518.319 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546420518.319 * [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))))) 1546420518.319 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546420518.319 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.322 * * [misc]simplify: iters left: 5 (18 enodes) 1546420518.324 * * [misc]simplify: iters left: 4 (24 enodes) 1546420518.327 * * [misc]simplify: iters left: 3 (25 enodes) 1546420518.331 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546420518.331 * [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))))) 1546420518.331 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1546420518.331 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546420518.331 * * [misc]simplify: iters left: 6 (9 enodes) 1546420518.332 * * [misc]simplify: iters left: 5 (16 enodes) 1546420518.335 * * [misc]simplify: iters left: 4 (24 enodes) 1546420518.338 * * [misc]simplify: iters left: 3 (26 enodes) 1546420518.340 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546420518.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546420518.341 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546420518.341 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.342 * * [misc]simplify: iters left: 5 (17 enodes) 1546420518.346 * * [misc]simplify: iters left: 4 (23 enodes) 1546420518.352 * * [misc]simplify: iters left: 3 (24 enodes) 1546420518.358 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546420518.358 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546420518.358 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1546420518.359 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.363 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.368 * * [misc]simplify: iters left: 5 (19 enodes) 1546420518.373 * * [misc]simplify: iters left: 4 (25 enodes) 1546420518.380 * * [misc]simplify: iters left: 3 (26 enodes) 1546420518.387 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.387 * [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))))) 1546420518.387 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1546420518.387 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.391 * * [misc]simplify: iters left: 5 (18 enodes) 1546420518.396 * * [misc]simplify: iters left: 4 (24 enodes) 1546420518.402 * * [misc]simplify: iters left: 3 (25 enodes) 1546420518.409 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1546420518.409 * [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))))) 1546420518.409 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1546420518.409 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1546420518.409 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.412 * * [misc]simplify: iters left: 5 (16 enodes) 1546420518.417 * * [misc]simplify: iters left: 4 (22 enodes) 1546420518.423 * * [misc]simplify: iters left: 3 (24 enodes) 1546420518.429 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1546420518.429 * [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))))) 1546420518.429 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1546420518.430 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.433 * * [misc]simplify: iters left: 5 (18 enodes) 1546420518.438 * * [misc]simplify: iters left: 4 (24 enodes) 1546420518.444 * * [misc]simplify: iters left: 3 (25 enodes) 1546420518.451 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1546420518.451 * [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))))) 1546420518.451 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1546420518.451 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1546420518.451 * * [misc]simplify: iters left: 6 (9 enodes) 1546420518.455 * * [misc]simplify: iters left: 5 (16 enodes) 1546420518.460 * * [misc]simplify: iters left: 4 (24 enodes) 1546420518.465 * * [misc]simplify: iters left: 3 (26 enodes) 1546420518.471 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1546420518.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1546420518.472 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1546420518.472 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.475 * * [misc]simplify: iters left: 5 (17 enodes) 1546420518.480 * * [misc]simplify: iters left: 4 (23 enodes) 1546420518.486 * * [misc]simplify: iters left: 3 (24 enodes) 1546420518.492 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1546420518.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1546420518.493 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1546420518.493 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.493 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.497 * * [misc]simplify: iters left: 5 (15 enodes) 1546420518.501 * * [misc]simplify: iters left: 4 (18 enodes) 1546420518.506 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.506 * [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))))) 1546420518.506 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546420518.507 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.510 * * [misc]simplify: iters left: 5 (14 enodes) 1546420518.514 * * [misc]simplify: iters left: 4 (17 enodes) 1546420518.519 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546420518.519 * [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))))) 1546420518.519 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1546420518.519 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420518.519 * * [misc]simplify: iters left: 6 (10 enodes) 1546420518.522 * * [misc]simplify: iters left: 5 (12 enodes) 1546420518.526 * * [misc]simplify: iters left: 4 (15 enodes) 1546420518.530 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420518.530 * [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))))) 1546420518.530 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420518.530 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.534 * * [misc]simplify: iters left: 5 (14 enodes) 1546420518.537 * * [misc]simplify: iters left: 4 (17 enodes) 1546420518.542 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420518.542 * [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))))) 1546420518.542 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1546420518.543 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1546420518.543 * * [misc]simplify: iters left: 6 (9 enodes) 1546420518.545 * * [misc]simplify: iters left: 5 (13 enodes) 1546420518.550 * * [misc]simplify: iters left: 4 (18 enodes) 1546420518.554 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546420518.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546420518.554 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546420518.554 * * [misc]simplify: iters left: 6 (10 enodes) 1546420518.557 * * [misc]simplify: iters left: 5 (13 enodes) 1546420518.561 * * [misc]simplify: iters left: 4 (16 enodes) 1546420518.566 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1546420518.566 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1546420518.566 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1546420518.566 * [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)))) 1546420518.566 * * [misc]simplify: iters left: 6 (16 enodes) 1546420518.572 * * [misc]simplify: iters left: 5 (28 enodes) 1546420518.581 * * [misc]simplify: iters left: 4 (46 enodes) 1546420518.595 * * [misc]simplify: iters left: 3 (50 enodes) 1546420518.607 * * [misc]simplify: iters left: 2 (53 enodes) 1546420518.621 * [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)))) 1546420518.621 * [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))))) 1546420518.621 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546420518.621 * * [misc]simplify: iters left: 6 (14 enodes) 1546420518.623 * * [misc]simplify: iters left: 5 (20 enodes) 1546420518.626 * * [misc]simplify: iters left: 4 (29 enodes) 1546420518.630 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.634 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546420518.634 * [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))))) 1546420518.634 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1546420518.634 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420518.634 * * [misc]simplify: iters left: 6 (15 enodes) 1546420518.636 * * [misc]simplify: iters left: 5 (23 enodes) 1546420518.640 * * [misc]simplify: iters left: 4 (34 enodes) 1546420518.645 * * [misc]simplify: iters left: 3 (37 enodes) 1546420518.650 * [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)))))) 1546420518.650 * [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))))) 1546420518.650 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420518.650 * * [misc]simplify: iters left: 6 (14 enodes) 1546420518.653 * * [misc]simplify: iters left: 5 (20 enodes) 1546420518.658 * * [misc]simplify: iters left: 4 (29 enodes) 1546420518.666 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.674 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420518.674 * [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))))) 1546420518.674 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1546420518.674 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1546420518.674 * * [misc]simplify: iters left: 6 (14 enodes) 1546420518.679 * * [misc]simplify: iters left: 5 (24 enodes) 1546420518.683 * * [misc]simplify: iters left: 4 (39 enodes) 1546420518.688 * * [misc]simplify: iters left: 3 (54 enodes) 1546420518.695 * * [misc]simplify: iters left: 2 (80 enodes) 1546420518.706 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1546420518.706 * [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)))) 1546420518.707 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546420518.707 * * [misc]simplify: iters left: 6 (13 enodes) 1546420518.710 * * [misc]simplify: iters left: 5 (19 enodes) 1546420518.716 * * [misc]simplify: iters left: 4 (28 enodes) 1546420518.723 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.731 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546420518.731 * [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)))) 1546420518.731 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1546420518.732 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.732 * * [misc]simplify: iters left: 6 (15 enodes) 1546420518.736 * * [misc]simplify: iters left: 5 (23 enodes) 1546420518.741 * * [misc]simplify: iters left: 4 (32 enodes) 1546420518.746 * * [misc]simplify: iters left: 3 (34 enodes) 1546420518.750 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.750 * [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))))) 1546420518.750 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546420518.750 * * [misc]simplify: iters left: 6 (14 enodes) 1546420518.752 * * [misc]simplify: iters left: 5 (20 enodes) 1546420518.755 * * [misc]simplify: iters left: 4 (29 enodes) 1546420518.759 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.763 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1546420518.763 * [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))))) 1546420518.763 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1546420518.763 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420518.763 * * [misc]simplify: iters left: 6 (14 enodes) 1546420518.765 * * [misc]simplify: iters left: 5 (20 enodes) 1546420518.769 * * [misc]simplify: iters left: 4 (29 enodes) 1546420518.777 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.785 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420518.785 * [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))))) 1546420518.785 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420518.785 * * [misc]simplify: iters left: 6 (14 enodes) 1546420518.790 * * [misc]simplify: iters left: 5 (20 enodes) 1546420518.795 * * [misc]simplify: iters left: 4 (29 enodes) 1546420518.799 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.803 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420518.803 * [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))))) 1546420518.803 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1546420518.803 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1546420518.803 * * [misc]simplify: iters left: 6 (13 enodes) 1546420518.805 * * [misc]simplify: iters left: 5 (21 enodes) 1546420518.808 * * [misc]simplify: iters left: 4 (32 enodes) 1546420518.813 * * [misc]simplify: iters left: 3 (33 enodes) 1546420518.817 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1546420518.817 * [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)))) 1546420518.817 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1546420518.817 * * [misc]simplify: iters left: 6 (13 enodes) 1546420518.819 * * [misc]simplify: iters left: 5 (19 enodes) 1546420518.822 * * [misc]simplify: iters left: 4 (28 enodes) 1546420518.827 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.834 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1546420518.834 * [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)))) 1546420518.835 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1546420518.835 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420518.835 * * [misc]simplify: iters left: 6 (6 enodes) 1546420518.837 * * [misc]simplify: iters left: 5 (10 enodes) 1546420518.840 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1546420518.840 * [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))))) 1546420518.840 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546420518.840 * * [misc]simplify: iters left: 6 (13 enodes) 1546420518.844 * * [misc]simplify: iters left: 5 (19 enodes) 1546420518.850 * * [misc]simplify: iters left: 4 (28 enodes) 1546420518.854 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.858 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1546420518.858 * [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))))) 1546420518.858 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1546420518.858 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1546420518.858 * * [misc]simplify: iters left: 4 (5 enodes) 1546420518.859 * * [misc]simplify: iters left: 3 (7 enodes) 1546420518.860 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546420518.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546420518.860 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420518.860 * * [misc]simplify: iters left: 6 (13 enodes) 1546420518.862 * * [misc]simplify: iters left: 5 (19 enodes) 1546420518.865 * * [misc]simplify: iters left: 4 (28 enodes) 1546420518.868 * * [misc]simplify: iters left: 3 (30 enodes) 1546420518.872 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420518.872 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1546420518.872 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1546420518.872 * [enter]simplify: Simplifying (/ 1 1) 1546420518.872 * * [misc]simplify: iters left: 2 (2 enodes) 1546420518.873 * * [misc]simplify: iters left: 1 (4 enodes) 1546420518.873 * [exit]simplify: Simplified to 1 1546420518.873 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1546420518.873 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1546420518.873 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.875 * * [misc]simplify: iters left: 5 (18 enodes) 1546420518.878 * * [misc]simplify: iters left: 4 (27 enodes) 1546420518.883 * * [misc]simplify: iters left: 3 (29 enodes) 1546420518.891 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1546420518.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1546420518.891 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1546420518.891 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1546420518.891 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1546420518.891 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1546420518.891 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1546420518.891 * * [misc]simplify: iters left: 2 (3 enodes) 1546420518.892 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1546420518.892 * [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)))) 1546420518.892 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1546420518.893 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546420518.893 * * [misc]simplify: iters left: 2 (3 enodes) 1546420518.894 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420518.894 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1546420518.894 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1546420518.894 * [enter]simplify: Simplifying (sqrt k) 1546420518.894 * * [misc]simplify: iters left: 1 (2 enodes) 1546420518.894 * [exit]simplify: Simplified to (sqrt k) 1546420518.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1546420518.895 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1546420518.895 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546420518.895 * * [misc]simplify: iters left: 5 (7 enodes) 1546420518.897 * * [misc]simplify: iters left: 4 (12 enodes) 1546420518.901 * * [misc]simplify: iters left: 3 (18 enodes) 1546420518.906 * * [misc]simplify: iters left: 2 (20 enodes) 1546420518.911 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546420518.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546420518.911 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1546420518.911 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546420518.911 * * [misc]simplify: iters left: 5 (7 enodes) 1546420518.913 * * [misc]simplify: iters left: 4 (12 enodes) 1546420518.917 * * [misc]simplify: iters left: 3 (18 enodes) 1546420518.922 * * [misc]simplify: iters left: 2 (20 enodes) 1546420518.927 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546420518.928 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1546420518.928 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1546420518.928 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546420518.928 * * [misc]simplify: iters left: 5 (7 enodes) 1546420518.930 * * [misc]simplify: iters left: 4 (9 enodes) 1546420518.933 * * [misc]simplify: iters left: 3 (12 enodes) 1546420518.936 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546420518.936 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420518.936 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1546420518.936 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420518.937 * * [misc]simplify: iters left: 6 (12 enodes) 1546420518.940 * * [misc]simplify: iters left: 5 (18 enodes) 1546420518.946 * * [misc]simplify: iters left: 4 (27 enodes) 1546420518.954 * * [misc]simplify: iters left: 3 (29 enodes) 1546420518.961 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546420518.961 * [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))))))) 1546420518.961 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1546420518.961 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420518.962 * * [misc]simplify: iters left: 6 (11 enodes) 1546420518.965 * * [misc]simplify: iters left: 5 (17 enodes) 1546420518.970 * * [misc]simplify: iters left: 4 (26 enodes) 1546420518.978 * * [misc]simplify: iters left: 3 (27 enodes) 1546420518.984 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546420518.985 * [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))))))) 1546420518.985 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1546420518.985 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1546420518.985 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1546420518.985 * * [misc]simplify: iters left: 5 (7 enodes) 1546420518.988 * * [misc]simplify: iters left: 4 (12 enodes) 1546420518.991 * * [misc]simplify: iters left: 3 (18 enodes) 1546420518.996 * * [misc]simplify: iters left: 2 (20 enodes) 1546420519.001 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1546420519.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1546420519.001 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1546420519.001 * [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))))) 1546420519.002 * * [misc]simplify: iters left: 6 (37 enodes) 1546420519.017 * * [misc]simplify: iters left: 5 (105 enodes) 1546420519.059 * * [misc]simplify: iters left: 4 (339 enodes) 1546420519.274 * [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))))) 1546420519.274 * [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))) 1546420519.274 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1546420519.274 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546420519.275 * * [misc]simplify: iters left: 6 (15 enodes) 1546420519.278 * * [misc]simplify: iters left: 5 (33 enodes) 1546420519.283 * * [misc]simplify: iters left: 4 (64 enodes) 1546420519.298 * * [misc]simplify: iters left: 3 (171 enodes) 1546420519.394 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1546420519.394 * [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))) 1546420519.394 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1546420519.394 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546420519.394 * * [misc]simplify: iters left: 6 (15 enodes) 1546420519.400 * * [misc]simplify: iters left: 5 (30 enodes) 1546420519.411 * * [misc]simplify: iters left: 4 (65 enodes) 1546420519.439 * * [misc]simplify: iters left: 3 (200 enodes) 1546420519.534 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1546420519.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1546420519.534 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1546420519.534 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546420519.534 * * [misc]simplify: iters left: 4 (5 enodes) 1546420519.535 * * [misc]simplify: iters left: 3 (9 enodes) 1546420519.536 * * [misc]simplify: iters left: 2 (15 enodes) 1546420519.538 * * [misc]simplify: iters left: 1 (17 enodes) 1546420519.540 * [exit]simplify: Simplified to (* (* PI n) 2) 1546420519.540 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546420519.540 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1546420519.540 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546420519.540 * * [misc]simplify: iters left: 4 (5 enodes) 1546420519.541 * * [misc]simplify: iters left: 3 (9 enodes) 1546420519.543 * * [misc]simplify: iters left: 2 (15 enodes) 1546420519.545 * * [misc]simplify: iters left: 1 (17 enodes) 1546420519.547 * [exit]simplify: Simplified to (* (* PI n) 2) 1546420519.547 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546420519.547 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1546420519.547 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546420519.547 * * [misc]simplify: iters left: 4 (5 enodes) 1546420519.548 * * [misc]simplify: iters left: 3 (9 enodes) 1546420519.550 * * [misc]simplify: iters left: 2 (15 enodes) 1546420519.552 * * [misc]simplify: iters left: 1 (17 enodes) 1546420519.554 * [exit]simplify: Simplified to (* (* PI n) 2) 1546420519.554 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1546420519.554 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1546420519.554 * [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)))))))))))))))))))))) 1546420519.554 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420519.554 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1546420519.555 * [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)))))))) 1546420519.555 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420519.555 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1546420519.555 * [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))))))))))) 1546420519.555 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420519.555 * * * [misc]progress: adding candidates to table 1546420520.339 * * [misc]progress: iteration 2 / 4 1546420520.340 * * * [misc]progress: picking best candidate 1546420520.376 * * * * [misc]pick: Picked # 1546420520.376 * * * [misc]progress: localizing error 1546420520.382 * * * [misc]progress: generating rewritten candidates 1546420520.382 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1546420520.384 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1546420520.385 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546420520.389 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546420520.393 * * * [misc]progress: generating series expansions 1546420520.393 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1546420520.393 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1546420520.393 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1546420520.393 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.393 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.393 * [misc]taylor: Taking taylor expansion of k in k 1546420520.393 * [misc]backup-simplify: Simplify 0 into 0 1546420520.393 * [misc]backup-simplify: Simplify 1 into 1 1546420520.393 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.393 * [misc]backup-simplify: Simplify 2 into 2 1546420520.393 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420520.393 * [misc]taylor: Taking taylor expansion of n in k 1546420520.393 * [misc]backup-simplify: Simplify n into n 1546420520.394 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.394 * [misc]backup-simplify: Simplify PI into PI 1546420520.394 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420520.394 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420520.394 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420520.394 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420520.394 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.394 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.395 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420520.395 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420520.395 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.395 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.395 * [misc]taylor: Taking taylor expansion of k in n 1546420520.395 * [misc]backup-simplify: Simplify k into k 1546420520.395 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.395 * [misc]backup-simplify: Simplify 2 into 2 1546420520.395 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.395 * [misc]taylor: Taking taylor expansion of n in n 1546420520.395 * [misc]backup-simplify: Simplify 0 into 0 1546420520.395 * [misc]backup-simplify: Simplify 1 into 1 1546420520.395 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.395 * [misc]backup-simplify: Simplify PI into PI 1546420520.396 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.396 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.397 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.397 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.398 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.398 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420520.398 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420520.398 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420520.399 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.399 * [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)))) 1546420520.400 * [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))))) 1546420520.400 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.400 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.400 * [misc]taylor: Taking taylor expansion of k in n 1546420520.400 * [misc]backup-simplify: Simplify k into k 1546420520.400 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.400 * [misc]backup-simplify: Simplify 2 into 2 1546420520.400 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.400 * [misc]taylor: Taking taylor expansion of n in n 1546420520.400 * [misc]backup-simplify: Simplify 0 into 0 1546420520.400 * [misc]backup-simplify: Simplify 1 into 1 1546420520.400 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.400 * [misc]backup-simplify: Simplify PI into PI 1546420520.401 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.401 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.402 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.403 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.403 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420520.403 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420520.403 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420520.404 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.404 * [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)))) 1546420520.405 * [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))))) 1546420520.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.405 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.405 * [misc]taylor: Taking taylor expansion of k in k 1546420520.405 * [misc]backup-simplify: Simplify 0 into 0 1546420520.405 * [misc]backup-simplify: Simplify 1 into 1 1546420520.405 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of n in k 1546420520.405 * [misc]backup-simplify: Simplify n into n 1546420520.405 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420520.405 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546420520.405 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546420520.406 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.406 * [misc]backup-simplify: Simplify 2 into 2 1546420520.406 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.406 * [misc]backup-simplify: Simplify PI into PI 1546420520.406 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.406 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.407 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420520.407 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.407 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.407 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.408 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1546420520.408 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546420520.409 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1546420520.410 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420520.411 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420520.414 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.415 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546420520.415 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.415 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.416 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.416 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546420520.418 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.418 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.418 * [misc]backup-simplify: Simplify 0 into 0 1546420520.418 * [misc]backup-simplify: Simplify 0 into 0 1546420520.419 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546420520.420 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420520.423 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.423 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.423 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420520.423 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.423 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1546420520.426 * [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))))))) 1546420520.427 * [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))))))) 1546420520.429 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.430 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546420520.435 * [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 1546420520.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546420520.436 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.437 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.437 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546420520.440 * [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 1546420520.440 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.440 * [misc]backup-simplify: Simplify 0 into 0 1546420520.440 * [misc]backup-simplify: Simplify 0 into 0 1546420520.440 * [misc]backup-simplify: Simplify 0 into 0 1546420520.442 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546420520.443 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.451 * [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 1546420520.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420520.452 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.452 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.453 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1546420520.455 * [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))))) 1546420520.458 * [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))))) 1546420520.462 * [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))))) 1546420520.463 * [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)))) 1546420520.463 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546420520.463 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.463 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.463 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of k in k 1546420520.463 * [misc]backup-simplify: Simplify 0 into 0 1546420520.463 * [misc]backup-simplify: Simplify 1 into 1 1546420520.463 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.463 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420520.463 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420520.464 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.464 * [misc]backup-simplify: Simplify 2 into 2 1546420520.464 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.464 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.464 * [misc]backup-simplify: Simplify PI into PI 1546420520.464 * [misc]taylor: Taking taylor expansion of n in k 1546420520.464 * [misc]backup-simplify: Simplify n into n 1546420520.464 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.464 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420520.464 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420520.464 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.464 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.464 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.465 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420520.465 * [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)))) 1546420520.465 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of k in n 1546420520.465 * [misc]backup-simplify: Simplify k into k 1546420520.465 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.465 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.465 * [misc]backup-simplify: Simplify 2 into 2 1546420520.465 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.465 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.466 * [misc]backup-simplify: Simplify PI into PI 1546420520.466 * [misc]taylor: Taking taylor expansion of n in n 1546420520.466 * [misc]backup-simplify: Simplify 0 into 0 1546420520.466 * [misc]backup-simplify: Simplify 1 into 1 1546420520.466 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.467 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.467 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.467 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.467 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.467 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.468 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.469 * [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))) 1546420520.469 * [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)))) 1546420520.469 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.469 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.469 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.469 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.470 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.470 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.470 * [misc]taylor: Taking taylor expansion of k in n 1546420520.470 * [misc]backup-simplify: Simplify k into k 1546420520.470 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.470 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.470 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.470 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.470 * [misc]backup-simplify: Simplify 2 into 2 1546420520.470 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.470 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.470 * [misc]backup-simplify: Simplify PI into PI 1546420520.470 * [misc]taylor: Taking taylor expansion of n in n 1546420520.470 * [misc]backup-simplify: Simplify 0 into 0 1546420520.470 * [misc]backup-simplify: Simplify 1 into 1 1546420520.470 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.471 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.471 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.471 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.471 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.471 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.472 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.472 * [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))) 1546420520.473 * [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)))) 1546420520.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.473 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of k in k 1546420520.473 * [misc]backup-simplify: Simplify 0 into 0 1546420520.473 * [misc]backup-simplify: Simplify 1 into 1 1546420520.473 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.473 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1546420520.473 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.473 * [misc]backup-simplify: Simplify 2 into 2 1546420520.473 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.473 * [misc]backup-simplify: Simplify PI into PI 1546420520.473 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.474 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.474 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420520.474 * [misc]taylor: Taking taylor expansion of n in k 1546420520.474 * [misc]backup-simplify: Simplify n into n 1546420520.474 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420520.474 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.474 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.474 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.474 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420520.474 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1546420520.475 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1546420520.475 * [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)))) 1546420520.476 * [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)))) 1546420520.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420520.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.478 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420520.479 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.479 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.480 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546420520.481 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.481 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.481 * [misc]backup-simplify: Simplify 0 into 0 1546420520.481 * [misc]backup-simplify: Simplify 0 into 0 1546420520.481 * [misc]backup-simplify: Simplify 0 into 0 1546420520.482 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.485 * [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 1546420520.485 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420520.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420520.486 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.486 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.486 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.487 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1546420520.488 * [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 1546420520.488 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.488 * [misc]backup-simplify: Simplify 0 into 0 1546420520.488 * [misc]backup-simplify: Simplify 0 into 0 1546420520.488 * [misc]backup-simplify: Simplify 0 into 0 1546420520.488 * [misc]backup-simplify: Simplify 0 into 0 1546420520.490 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.491 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.495 * [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 1546420520.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420520.496 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420520.496 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.496 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.497 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.497 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1546420520.499 * [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 1546420520.499 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.500 * [misc]backup-simplify: Simplify 0 into 0 1546420520.500 * [misc]backup-simplify: Simplify 0 into 0 1546420520.500 * [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))))) 1546420520.500 * [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)) 1546420520.500 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546420520.500 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420520.500 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420520.500 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420520.500 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420520.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.500 * [misc]taylor: Taking taylor expansion of k in k 1546420520.500 * [misc]backup-simplify: Simplify 0 into 0 1546420520.500 * [misc]backup-simplify: Simplify 1 into 1 1546420520.501 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.501 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.501 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420520.501 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420520.501 * [misc]taylor: Taking taylor expansion of -2 in k 1546420520.501 * [misc]backup-simplify: Simplify -2 into -2 1546420520.501 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.501 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.501 * [misc]backup-simplify: Simplify PI into PI 1546420520.501 * [misc]taylor: Taking taylor expansion of n in k 1546420520.501 * [misc]backup-simplify: Simplify n into n 1546420520.501 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.501 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420520.501 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420520.501 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.501 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.501 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420520.501 * [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))) 1546420520.501 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.501 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420520.501 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420520.501 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.501 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.501 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.501 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.501 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.501 * [misc]taylor: Taking taylor expansion of k in n 1546420520.501 * [misc]backup-simplify: Simplify k into k 1546420520.501 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.502 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.502 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.502 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.502 * [misc]backup-simplify: Simplify -2 into -2 1546420520.502 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.502 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.502 * [misc]backup-simplify: Simplify PI into PI 1546420520.502 * [misc]taylor: Taking taylor expansion of n in n 1546420520.502 * [misc]backup-simplify: Simplify 0 into 0 1546420520.502 * [misc]backup-simplify: Simplify 1 into 1 1546420520.502 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.502 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.503 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.503 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.503 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.503 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.504 * [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))) 1546420520.504 * [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)))) 1546420520.504 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.504 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420520.504 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420520.504 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.505 * [misc]taylor: Taking taylor expansion of k in n 1546420520.505 * [misc]backup-simplify: Simplify k into k 1546420520.505 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.505 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.505 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.505 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.505 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.505 * [misc]backup-simplify: Simplify -2 into -2 1546420520.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.505 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.505 * [misc]backup-simplify: Simplify PI into PI 1546420520.505 * [misc]taylor: Taking taylor expansion of n in n 1546420520.505 * [misc]backup-simplify: Simplify 0 into 0 1546420520.505 * [misc]backup-simplify: Simplify 1 into 1 1546420520.505 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.505 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.505 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.505 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.506 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.506 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.506 * [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))) 1546420520.507 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546420520.507 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of k in k 1546420520.507 * [misc]backup-simplify: Simplify 0 into 0 1546420520.507 * [misc]backup-simplify: Simplify 1 into 1 1546420520.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.507 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.507 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1546420520.507 * [misc]taylor: Taking taylor expansion of -2 in k 1546420520.507 * [misc]backup-simplify: Simplify -2 into -2 1546420520.507 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.507 * [misc]backup-simplify: Simplify PI into PI 1546420520.508 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.508 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.508 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420520.508 * [misc]taylor: Taking taylor expansion of n in k 1546420520.508 * [misc]backup-simplify: Simplify n into n 1546420520.508 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420520.508 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.509 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.509 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420520.509 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1546420520.510 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1546420520.510 * [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)))) 1546420520.511 * [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)))) 1546420520.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.513 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420520.516 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546420520.516 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.516 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420520.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.518 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1546420520.520 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.520 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.520 * [misc]backup-simplify: Simplify 0 into 0 1546420520.520 * [misc]backup-simplify: Simplify 0 into 0 1546420520.520 * [misc]backup-simplify: Simplify 0 into 0 1546420520.522 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.523 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.528 * [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 1546420520.528 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420520.529 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420520.529 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.530 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1546420520.533 * [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 1546420520.533 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.533 * [misc]backup-simplify: Simplify 0 into 0 1546420520.533 * [misc]backup-simplify: Simplify 0 into 0 1546420520.533 * [misc]backup-simplify: Simplify 0 into 0 1546420520.533 * [misc]backup-simplify: Simplify 0 into 0 1546420520.535 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.537 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.545 * [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 1546420520.545 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420520.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420520.546 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.547 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.547 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1546420520.550 * [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 1546420520.550 * [misc]taylor: Taking taylor expansion of 0 in k 1546420520.550 * [misc]backup-simplify: Simplify 0 into 0 1546420520.550 * [misc]backup-simplify: Simplify 0 into 0 1546420520.550 * [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))))) 1546420520.550 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1546420520.550 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1546420520.550 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1546420520.550 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.550 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.550 * [misc]backup-simplify: Simplify 2 into 2 1546420520.550 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.550 * [misc]taylor: Taking taylor expansion of n in n 1546420520.550 * [misc]backup-simplify: Simplify 0 into 0 1546420520.550 * [misc]backup-simplify: Simplify 1 into 1 1546420520.550 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.550 * [misc]backup-simplify: Simplify PI into PI 1546420520.550 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.551 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.551 * [misc]backup-simplify: Simplify 2 into 2 1546420520.551 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.551 * [misc]taylor: Taking taylor expansion of n in n 1546420520.551 * [misc]backup-simplify: Simplify 0 into 0 1546420520.551 * [misc]backup-simplify: Simplify 1 into 1 1546420520.551 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.551 * [misc]backup-simplify: Simplify PI into PI 1546420520.551 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.551 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.551 * [misc]backup-simplify: Simplify 0 into 0 1546420520.551 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.552 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.552 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.553 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420520.553 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420520.553 * [misc]backup-simplify: Simplify 0 into 0 1546420520.554 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.555 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1546420520.555 * [misc]backup-simplify: Simplify 0 into 0 1546420520.556 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420520.558 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1546420520.558 * [misc]backup-simplify: Simplify 0 into 0 1546420520.559 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546420520.561 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1546420520.561 * [misc]backup-simplify: Simplify 0 into 0 1546420520.563 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546420520.565 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1546420520.565 * [misc]backup-simplify: Simplify 0 into 0 1546420520.567 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1546420520.569 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1546420520.569 * [misc]backup-simplify: Simplify 0 into 0 1546420520.570 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1546420520.570 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1546420520.570 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1546420520.570 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.570 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.570 * [misc]backup-simplify: Simplify 2 into 2 1546420520.570 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.570 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.570 * [misc]backup-simplify: Simplify PI into PI 1546420520.570 * [misc]taylor: Taking taylor expansion of n in n 1546420520.570 * [misc]backup-simplify: Simplify 0 into 0 1546420520.570 * [misc]backup-simplify: Simplify 1 into 1 1546420520.570 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.570 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.570 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.570 * [misc]backup-simplify: Simplify 2 into 2 1546420520.570 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.570 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.570 * [misc]backup-simplify: Simplify PI into PI 1546420520.570 * [misc]taylor: Taking taylor expansion of n in n 1546420520.570 * [misc]backup-simplify: Simplify 0 into 0 1546420520.570 * [misc]backup-simplify: Simplify 1 into 1 1546420520.571 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.571 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.571 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.572 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.572 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420520.572 * [misc]backup-simplify: Simplify 0 into 0 1546420520.573 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.574 * [misc]backup-simplify: Simplify 0 into 0 1546420520.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.577 * [misc]backup-simplify: Simplify 0 into 0 1546420520.578 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.579 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420520.579 * [misc]backup-simplify: Simplify 0 into 0 1546420520.581 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.582 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546420520.582 * [misc]backup-simplify: Simplify 0 into 0 1546420520.584 * [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 1546420520.586 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546420520.586 * [misc]backup-simplify: Simplify 0 into 0 1546420520.586 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1546420520.586 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1546420520.586 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1546420520.586 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.586 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.586 * [misc]backup-simplify: Simplify -2 into -2 1546420520.586 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.586 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.586 * [misc]backup-simplify: Simplify PI into PI 1546420520.586 * [misc]taylor: Taking taylor expansion of n in n 1546420520.586 * [misc]backup-simplify: Simplify 0 into 0 1546420520.586 * [misc]backup-simplify: Simplify 1 into 1 1546420520.586 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.586 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.586 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.586 * [misc]backup-simplify: Simplify -2 into -2 1546420520.586 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.586 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.586 * [misc]backup-simplify: Simplify PI into PI 1546420520.586 * [misc]taylor: Taking taylor expansion of n in n 1546420520.586 * [misc]backup-simplify: Simplify 0 into 0 1546420520.586 * [misc]backup-simplify: Simplify 1 into 1 1546420520.587 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.587 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.587 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.588 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.588 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420520.588 * [misc]backup-simplify: Simplify 0 into 0 1546420520.589 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.590 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.590 * [misc]backup-simplify: Simplify 0 into 0 1546420520.591 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.592 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.592 * [misc]backup-simplify: Simplify 0 into 0 1546420520.594 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.596 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1546420520.596 * [misc]backup-simplify: Simplify 0 into 0 1546420520.598 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.601 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1546420520.601 * [misc]backup-simplify: Simplify 0 into 0 1546420520.603 * [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 1546420520.607 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1546420520.607 * [misc]backup-simplify: Simplify 0 into 0 1546420520.607 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1546420520.607 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546420520.608 * [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)) 1546420520.608 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546420520.608 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.608 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.608 * [misc]taylor: Taking taylor expansion of k in n 1546420520.608 * [misc]backup-simplify: Simplify k into k 1546420520.608 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.608 * [misc]backup-simplify: Simplify 2 into 2 1546420520.608 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.608 * [misc]taylor: Taking taylor expansion of n in n 1546420520.608 * [misc]backup-simplify: Simplify 0 into 0 1546420520.608 * [misc]backup-simplify: Simplify 1 into 1 1546420520.608 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.608 * [misc]backup-simplify: Simplify PI into PI 1546420520.609 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.609 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.610 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.610 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.611 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.611 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420520.611 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420520.611 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420520.612 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.612 * [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)))) 1546420520.613 * [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))))) 1546420520.613 * [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)))))) 1546420520.613 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420520.614 * [misc]taylor: Taking taylor expansion of k in n 1546420520.614 * [misc]backup-simplify: Simplify k into k 1546420520.614 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420520.614 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420520.614 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.614 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.614 * [misc]taylor: Taking taylor expansion of k in k 1546420520.614 * [misc]backup-simplify: Simplify 0 into 0 1546420520.614 * [misc]backup-simplify: Simplify 1 into 1 1546420520.614 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.614 * [misc]backup-simplify: Simplify 2 into 2 1546420520.614 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420520.614 * [misc]taylor: Taking taylor expansion of n in k 1546420520.614 * [misc]backup-simplify: Simplify n into n 1546420520.614 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.614 * [misc]backup-simplify: Simplify PI into PI 1546420520.614 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420520.614 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420520.615 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420520.615 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420520.615 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.615 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.615 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420520.615 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420520.616 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546420520.616 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420520.616 * [misc]taylor: Taking taylor expansion of k in k 1546420520.616 * [misc]backup-simplify: Simplify 0 into 0 1546420520.616 * [misc]backup-simplify: Simplify 1 into 1 1546420520.616 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.616 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.616 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.617 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.617 * [misc]taylor: Taking taylor expansion of k in k 1546420520.617 * [misc]backup-simplify: Simplify 0 into 0 1546420520.617 * [misc]backup-simplify: Simplify 1 into 1 1546420520.617 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.617 * [misc]backup-simplify: Simplify 2 into 2 1546420520.617 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420520.617 * [misc]taylor: Taking taylor expansion of n in k 1546420520.617 * [misc]backup-simplify: Simplify n into n 1546420520.617 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.617 * [misc]backup-simplify: Simplify PI into PI 1546420520.617 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420520.617 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420520.617 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420520.618 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420520.618 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.618 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.618 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420520.618 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420520.618 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1546420520.618 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420520.618 * [misc]taylor: Taking taylor expansion of k in k 1546420520.618 * [misc]backup-simplify: Simplify 0 into 0 1546420520.618 * [misc]backup-simplify: Simplify 1 into 1 1546420520.619 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.619 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.619 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1546420520.619 * [misc]taylor: Taking taylor expansion of 0 in n 1546420520.619 * [misc]backup-simplify: Simplify 0 into 0 1546420520.619 * [misc]backup-simplify: Simplify 0 into 0 1546420520.620 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546420520.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546420520.621 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546420520.621 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420520.621 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.621 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.622 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546420520.622 * [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))))) 1546420520.623 * [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))))) 1546420520.624 * [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)))) 1546420520.624 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546420520.625 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546420520.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.625 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546420520.625 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546420520.625 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546420520.625 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.625 * [misc]taylor: Taking taylor expansion of n in n 1546420520.625 * [misc]backup-simplify: Simplify 0 into 0 1546420520.625 * [misc]backup-simplify: Simplify 1 into 1 1546420520.625 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.625 * [misc]backup-simplify: Simplify PI into PI 1546420520.625 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.626 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.626 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546420520.626 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.627 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546420520.627 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420520.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.627 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420520.627 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420520.629 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.629 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546420520.631 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.632 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.633 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.633 * [misc]backup-simplify: Simplify 0 into 0 1546420520.634 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420520.635 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.635 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546420520.637 * [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 1546420520.637 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420520.637 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.638 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546420520.639 * [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))) 1546420520.642 * [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)))))) 1546420520.645 * [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)))))) 1546420520.645 * [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 1546420520.646 * [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 1546420520.646 * [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 1546420520.646 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.646 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.646 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.646 * [misc]backup-simplify: Simplify 2 into 2 1546420520.646 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.646 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.646 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.646 * [misc]backup-simplify: Simplify 2 into 2 1546420520.646 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.646 * [misc]taylor: Taking taylor expansion of n in n 1546420520.646 * [misc]backup-simplify: Simplify 0 into 0 1546420520.647 * [misc]backup-simplify: Simplify 1 into 1 1546420520.647 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.647 * [misc]backup-simplify: Simplify PI into PI 1546420520.647 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.647 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.648 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.648 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.649 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.649 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546420520.649 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420520.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.649 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420520.649 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420520.649 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546420520.649 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546420520.649 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.649 * [misc]taylor: Taking taylor expansion of n in n 1546420520.649 * [misc]backup-simplify: Simplify 0 into 0 1546420520.649 * [misc]backup-simplify: Simplify 1 into 1 1546420520.650 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.650 * [misc]backup-simplify: Simplify PI into PI 1546420520.650 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.651 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.651 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546420520.651 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.652 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546420520.652 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1546420520.652 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1546420520.652 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.652 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.652 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1546420520.652 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1546420520.652 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1546420520.652 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.652 * [misc]taylor: Taking taylor expansion of n in n 1546420520.652 * [misc]backup-simplify: Simplify 0 into 0 1546420520.652 * [misc]backup-simplify: Simplify 1 into 1 1546420520.652 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.652 * [misc]backup-simplify: Simplify PI into PI 1546420520.652 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.653 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.653 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1546420520.653 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.654 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1546420520.654 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420520.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.654 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420520.655 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420520.655 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.656 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546420520.657 * [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)))) 1546420520.658 * [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))))) 1546420520.659 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.659 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546420520.660 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420520.661 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420520.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.666 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546420520.667 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1546420520.669 * [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))))) 1546420520.670 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1546420520.675 * [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))))) 1546420520.676 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.677 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546420520.679 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.680 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1546420520.686 * [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))))))) 1546420520.692 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1546420520.699 * [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))))))) 1546420520.700 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546420520.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420520.703 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1546420520.704 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1546420520.706 * [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)))) 1546420520.710 * [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)))) 1546420520.712 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546420520.713 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1546420520.724 * [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))))))))))) 1546420520.724 * [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))) 1546420520.724 * [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 1546420520.724 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546420520.724 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.724 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.724 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.724 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.724 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.725 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.725 * [misc]taylor: Taking taylor expansion of k in n 1546420520.725 * [misc]backup-simplify: Simplify k into k 1546420520.725 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.725 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.725 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.725 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.725 * [misc]backup-simplify: Simplify 2 into 2 1546420520.725 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.725 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.725 * [misc]backup-simplify: Simplify PI into PI 1546420520.725 * [misc]taylor: Taking taylor expansion of n in n 1546420520.725 * [misc]backup-simplify: Simplify 0 into 0 1546420520.725 * [misc]backup-simplify: Simplify 1 into 1 1546420520.726 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.727 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.727 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.727 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.727 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.728 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.729 * [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))) 1546420520.730 * [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)))) 1546420520.730 * [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))))) 1546420520.730 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420520.730 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.730 * [misc]taylor: Taking taylor expansion of k in n 1546420520.730 * [misc]backup-simplify: Simplify k into k 1546420520.730 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.730 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420520.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.731 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420520.731 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of k in k 1546420520.731 * [misc]backup-simplify: Simplify 0 into 0 1546420520.731 * [misc]backup-simplify: Simplify 1 into 1 1546420520.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.731 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420520.731 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.731 * [misc]backup-simplify: Simplify 2 into 2 1546420520.731 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.732 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.732 * [misc]backup-simplify: Simplify PI into PI 1546420520.732 * [misc]taylor: Taking taylor expansion of n in k 1546420520.732 * [misc]backup-simplify: Simplify n into n 1546420520.732 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.732 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420520.732 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420520.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.732 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.732 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.732 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420520.733 * [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)))) 1546420520.733 * [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))))) 1546420520.733 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420520.733 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.733 * [misc]taylor: Taking taylor expansion of k in k 1546420520.733 * [misc]backup-simplify: Simplify 0 into 0 1546420520.733 * [misc]backup-simplify: Simplify 1 into 1 1546420520.733 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.734 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.734 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.734 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.734 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of k in k 1546420520.734 * [misc]backup-simplify: Simplify 0 into 0 1546420520.734 * [misc]backup-simplify: Simplify 1 into 1 1546420520.734 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.734 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420520.734 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.735 * [misc]backup-simplify: Simplify 2 into 2 1546420520.735 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.735 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.735 * [misc]backup-simplify: Simplify PI into PI 1546420520.735 * [misc]taylor: Taking taylor expansion of n in k 1546420520.735 * [misc]backup-simplify: Simplify n into n 1546420520.735 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.735 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420520.735 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420520.735 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.735 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.735 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.735 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420520.736 * [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)))) 1546420520.736 * [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))))) 1546420520.736 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420520.736 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.736 * [misc]taylor: Taking taylor expansion of k in k 1546420520.736 * [misc]backup-simplify: Simplify 0 into 0 1546420520.736 * [misc]backup-simplify: Simplify 1 into 1 1546420520.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.736 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.736 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.736 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546420520.736 * [misc]taylor: Taking taylor expansion of 0 in n 1546420520.736 * [misc]backup-simplify: Simplify 0 into 0 1546420520.736 * [misc]backup-simplify: Simplify 0 into 0 1546420520.737 * [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 1546420520.737 * [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))))))) 1546420520.737 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.737 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.737 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of k in n 1546420520.737 * [misc]backup-simplify: Simplify k into k 1546420520.737 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.737 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.737 * [misc]backup-simplify: Simplify 2 into 2 1546420520.737 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.737 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.737 * [misc]backup-simplify: Simplify PI into PI 1546420520.737 * [misc]taylor: Taking taylor expansion of n in n 1546420520.737 * [misc]backup-simplify: Simplify 0 into 0 1546420520.737 * [misc]backup-simplify: Simplify 1 into 1 1546420520.738 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.738 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.738 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.738 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.738 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.738 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.739 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.739 * [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))) 1546420520.740 * [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)))) 1546420520.740 * [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))))) 1546420520.740 * [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))))) 1546420520.741 * [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))))))) 1546420520.741 * [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))))))) 1546420520.741 * [misc]backup-simplify: Simplify 0 into 0 1546420520.741 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420520.742 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420520.742 * [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 1546420520.743 * [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))))))) 1546420520.743 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.743 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.743 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.743 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of k in n 1546420520.743 * [misc]backup-simplify: Simplify k into k 1546420520.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.743 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.743 * [misc]backup-simplify: Simplify 2 into 2 1546420520.743 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.743 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.743 * [misc]backup-simplify: Simplify PI into PI 1546420520.743 * [misc]taylor: Taking taylor expansion of n in n 1546420520.743 * [misc]backup-simplify: Simplify 0 into 0 1546420520.743 * [misc]backup-simplify: Simplify 1 into 1 1546420520.743 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.744 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.744 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.744 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.744 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.744 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.745 * [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))) 1546420520.745 * [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)))) 1546420520.746 * [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))))) 1546420520.746 * [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))))) 1546420520.746 * [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))))))) 1546420520.747 * [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))))))) 1546420520.748 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.748 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420520.750 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.750 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420520.750 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.750 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.751 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546420520.752 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.753 * [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 1546420520.753 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1546420520.753 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.753 * [misc]backup-simplify: Simplify 0 into 0 1546420520.753 * [misc]backup-simplify: Simplify 0 into 0 1546420520.754 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.754 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420520.755 * [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 1546420520.755 * [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))))))) 1546420520.755 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.755 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.755 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of k in n 1546420520.755 * [misc]backup-simplify: Simplify k into k 1546420520.755 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.755 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.755 * [misc]backup-simplify: Simplify 2 into 2 1546420520.755 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.755 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.755 * [misc]backup-simplify: Simplify PI into PI 1546420520.755 * [misc]taylor: Taking taylor expansion of n in n 1546420520.755 * [misc]backup-simplify: Simplify 0 into 0 1546420520.755 * [misc]backup-simplify: Simplify 1 into 1 1546420520.756 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.756 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.756 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.756 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.756 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.757 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.757 * [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))) 1546420520.758 * [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)))) 1546420520.758 * [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))))) 1546420520.758 * [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))))) 1546420520.759 * [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))))))) 1546420520.759 * [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))))))) 1546420520.761 * [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)))))))))))) 1546420520.761 * [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))) 1546420520.761 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546420520.761 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of -1 in n 1546420520.761 * [misc]backup-simplify: Simplify -1 into -1 1546420520.761 * [misc]taylor: Taking taylor expansion of k in n 1546420520.761 * [misc]backup-simplify: Simplify k into k 1546420520.761 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420520.761 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420520.761 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420520.761 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420520.761 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.761 * [misc]taylor: Taking taylor expansion of k in n 1546420520.762 * [misc]backup-simplify: Simplify k into k 1546420520.762 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.762 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.762 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.762 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.762 * [misc]backup-simplify: Simplify -2 into -2 1546420520.762 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.762 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.762 * [misc]backup-simplify: Simplify PI into PI 1546420520.762 * [misc]taylor: Taking taylor expansion of n in n 1546420520.762 * [misc]backup-simplify: Simplify 0 into 0 1546420520.762 * [misc]backup-simplify: Simplify 1 into 1 1546420520.762 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.762 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.763 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.763 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.763 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.763 * [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))) 1546420520.764 * [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)))) 1546420520.764 * [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))))) 1546420520.764 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546420520.764 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420520.764 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420520.764 * [misc]taylor: Taking taylor expansion of -1 in k 1546420520.764 * [misc]backup-simplify: Simplify -1 into -1 1546420520.764 * [misc]taylor: Taking taylor expansion of k in k 1546420520.764 * [misc]backup-simplify: Simplify 0 into 0 1546420520.764 * [misc]backup-simplify: Simplify 1 into 1 1546420520.765 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420520.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.765 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420520.765 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of k in k 1546420520.765 * [misc]backup-simplify: Simplify 0 into 0 1546420520.765 * [misc]backup-simplify: Simplify 1 into 1 1546420520.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.765 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of -2 in k 1546420520.765 * [misc]backup-simplify: Simplify -2 into -2 1546420520.765 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.765 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.765 * [misc]backup-simplify: Simplify PI into PI 1546420520.765 * [misc]taylor: Taking taylor expansion of n in k 1546420520.765 * [misc]backup-simplify: Simplify n into n 1546420520.766 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.766 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420520.766 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420520.766 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.766 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.766 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420520.766 * [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))) 1546420520.766 * [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)))) 1546420520.766 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546420520.766 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420520.766 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420520.766 * [misc]taylor: Taking taylor expansion of -1 in k 1546420520.766 * [misc]backup-simplify: Simplify -1 into -1 1546420520.766 * [misc]taylor: Taking taylor expansion of k in k 1546420520.766 * [misc]backup-simplify: Simplify 0 into 0 1546420520.766 * [misc]backup-simplify: Simplify 1 into 1 1546420520.766 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420520.767 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.767 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420520.767 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of k in k 1546420520.767 * [misc]backup-simplify: Simplify 0 into 0 1546420520.767 * [misc]backup-simplify: Simplify 1 into 1 1546420520.767 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.767 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.767 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of -2 in k 1546420520.767 * [misc]backup-simplify: Simplify -2 into -2 1546420520.767 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.767 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.767 * [misc]backup-simplify: Simplify PI into PI 1546420520.767 * [misc]taylor: Taking taylor expansion of n in k 1546420520.767 * [misc]backup-simplify: Simplify n into n 1546420520.767 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.767 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420520.767 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420520.768 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.768 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.768 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420520.768 * [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))) 1546420520.768 * [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)))) 1546420520.768 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420520.768 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.768 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.768 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.768 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.768 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.768 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.768 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.768 * [misc]backup-simplify: Simplify -2 into -2 1546420520.768 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.768 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.768 * [misc]backup-simplify: Simplify PI into PI 1546420520.768 * [misc]taylor: Taking taylor expansion of n in n 1546420520.768 * [misc]backup-simplify: Simplify 0 into 0 1546420520.768 * [misc]backup-simplify: Simplify 1 into 1 1546420520.768 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.769 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.769 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.769 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.769 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.769 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.769 * [misc]taylor: Taking taylor expansion of k in n 1546420520.769 * [misc]backup-simplify: Simplify k into k 1546420520.769 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.769 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.770 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.770 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.770 * [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))) 1546420520.771 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1546420520.771 * [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))))) 1546420520.771 * [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))))) 1546420520.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420520.772 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420520.773 * [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)))))) 1546420520.773 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.773 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.773 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.773 * [misc]backup-simplify: Simplify -2 into -2 1546420520.773 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.773 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.773 * [misc]backup-simplify: Simplify PI into PI 1546420520.773 * [misc]taylor: Taking taylor expansion of n in n 1546420520.773 * [misc]backup-simplify: Simplify 0 into 0 1546420520.773 * [misc]backup-simplify: Simplify 1 into 1 1546420520.773 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.773 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.774 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.774 * [misc]taylor: Taking taylor expansion of k in n 1546420520.774 * [misc]backup-simplify: Simplify k into k 1546420520.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.774 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.774 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.775 * [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))) 1546420520.775 * [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)))) 1546420520.776 * [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))))) 1546420520.776 * [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))))) 1546420520.777 * [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))))))) 1546420520.777 * [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))))))) 1546420520.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.778 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420520.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.779 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.779 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420520.781 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546420520.781 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546420520.782 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.783 * [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 1546420520.783 * [misc]backup-simplify: Simplify 0 into 0 1546420520.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.784 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420520.785 * [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)))))) 1546420520.785 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.785 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.785 * [misc]backup-simplify: Simplify -2 into -2 1546420520.785 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.785 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.785 * [misc]backup-simplify: Simplify PI into PI 1546420520.785 * [misc]taylor: Taking taylor expansion of n in n 1546420520.785 * [misc]backup-simplify: Simplify 0 into 0 1546420520.785 * [misc]backup-simplify: Simplify 1 into 1 1546420520.785 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.786 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.786 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.786 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.786 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.786 * [misc]taylor: Taking taylor expansion of k in n 1546420520.786 * [misc]backup-simplify: Simplify k into k 1546420520.786 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.787 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.787 * [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))) 1546420520.787 * [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)))) 1546420520.788 * [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))))) 1546420520.788 * [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))))) 1546420520.789 * [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))))))) 1546420520.789 * [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))))))) 1546420520.791 * [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)))))))))))) 1546420520.791 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546420520.791 * [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)))) 1546420520.791 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1546420520.791 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of k in n 1546420520.791 * [misc]backup-simplify: Simplify k into k 1546420520.791 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.791 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420520.791 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.791 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420520.791 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.791 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.791 * [misc]taylor: Taking taylor expansion of k in n 1546420520.791 * [misc]backup-simplify: Simplify k into k 1546420520.791 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.791 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.791 * [misc]backup-simplify: Simplify 2 into 2 1546420520.792 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.792 * [misc]taylor: Taking taylor expansion of n in n 1546420520.792 * [misc]backup-simplify: Simplify 0 into 0 1546420520.792 * [misc]backup-simplify: Simplify 1 into 1 1546420520.792 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.792 * [misc]backup-simplify: Simplify PI into PI 1546420520.792 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.792 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.793 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.793 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.793 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420520.793 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420520.793 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420520.794 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.794 * [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)))) 1546420520.794 * [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))))) 1546420520.794 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546420520.794 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420520.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.794 * [misc]taylor: Taking taylor expansion of k in k 1546420520.794 * [misc]backup-simplify: Simplify 0 into 0 1546420520.794 * [misc]backup-simplify: Simplify 1 into 1 1546420520.795 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.795 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.795 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.795 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.795 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.795 * [misc]taylor: Taking taylor expansion of k in k 1546420520.795 * [misc]backup-simplify: Simplify 0 into 0 1546420520.795 * [misc]backup-simplify: Simplify 1 into 1 1546420520.795 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.795 * [misc]backup-simplify: Simplify 2 into 2 1546420520.795 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420520.795 * [misc]taylor: Taking taylor expansion of n in k 1546420520.795 * [misc]backup-simplify: Simplify n into n 1546420520.795 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.795 * [misc]backup-simplify: Simplify PI into PI 1546420520.795 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420520.795 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420520.795 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420520.796 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420520.796 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.796 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.796 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420520.796 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420520.796 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1546420520.796 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420520.796 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.796 * [misc]taylor: Taking taylor expansion of k in k 1546420520.796 * [misc]backup-simplify: Simplify 0 into 0 1546420520.796 * [misc]backup-simplify: Simplify 1 into 1 1546420520.796 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.796 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.796 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.797 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.797 * [misc]taylor: Taking taylor expansion of k in k 1546420520.797 * [misc]backup-simplify: Simplify 0 into 0 1546420520.797 * [misc]backup-simplify: Simplify 1 into 1 1546420520.797 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.797 * [misc]backup-simplify: Simplify 2 into 2 1546420520.797 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1546420520.797 * [misc]taylor: Taking taylor expansion of n in k 1546420520.797 * [misc]backup-simplify: Simplify n into n 1546420520.797 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.797 * [misc]backup-simplify: Simplify PI into PI 1546420520.797 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1546420520.797 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1546420520.797 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1546420520.797 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420520.797 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.797 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.797 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1546420520.797 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1546420520.798 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1546420520.798 * [misc]taylor: Taking taylor expansion of 0 in n 1546420520.798 * [misc]backup-simplify: Simplify 0 into 0 1546420520.798 * [misc]backup-simplify: Simplify 0 into 0 1546420520.798 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1546420520.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1546420520.798 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1546420520.799 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420520.799 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.799 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.799 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1546420520.799 * [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))))) 1546420520.799 * [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))))) 1546420520.799 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546420520.799 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546420520.799 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.799 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.800 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546420520.800 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.800 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.800 * [misc]backup-simplify: Simplify 2 into 2 1546420520.800 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.800 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.800 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420520.800 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.800 * [misc]taylor: Taking taylor expansion of n in n 1546420520.800 * [misc]backup-simplify: Simplify 0 into 0 1546420520.800 * [misc]backup-simplify: Simplify 1 into 1 1546420520.800 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.800 * [misc]backup-simplify: Simplify PI into PI 1546420520.800 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.800 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.801 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.801 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420520.801 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420520.801 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420520.801 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.801 * [misc]backup-simplify: Simplify 0 into 0 1546420520.801 * [misc]backup-simplify: Simplify 0 into 0 1546420520.802 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1546420520.802 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1546420520.803 * [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 1546420520.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420520.803 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1546420520.804 * [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))) 1546420520.804 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420520.805 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420520.805 * [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))))))) 1546420520.805 * [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 1546420520.805 * [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 1546420520.805 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546420520.805 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.805 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.805 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546420520.806 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546420520.806 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.806 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.806 * [misc]backup-simplify: Simplify 2 into 2 1546420520.806 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.806 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.806 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.806 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.806 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.806 * [misc]backup-simplify: Simplify 2 into 2 1546420520.806 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.806 * [misc]taylor: Taking taylor expansion of n in n 1546420520.806 * [misc]backup-simplify: Simplify 0 into 0 1546420520.806 * [misc]backup-simplify: Simplify 1 into 1 1546420520.806 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.806 * [misc]backup-simplify: Simplify PI into PI 1546420520.806 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.806 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.807 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.807 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.807 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.807 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420520.808 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.808 * [misc]taylor: Taking taylor expansion of n in n 1546420520.808 * [misc]backup-simplify: Simplify 0 into 0 1546420520.808 * [misc]backup-simplify: Simplify 1 into 1 1546420520.808 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.808 * [misc]backup-simplify: Simplify PI into PI 1546420520.808 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.808 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.808 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.809 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420520.809 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546420520.809 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546420520.809 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.809 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.809 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546420520.809 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.809 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.809 * [misc]backup-simplify: Simplify 2 into 2 1546420520.809 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.809 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.809 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420520.809 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.809 * [misc]taylor: Taking taylor expansion of n in n 1546420520.809 * [misc]backup-simplify: Simplify 0 into 0 1546420520.809 * [misc]backup-simplify: Simplify 1 into 1 1546420520.809 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.809 * [misc]backup-simplify: Simplify PI into PI 1546420520.809 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.810 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.810 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420520.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.811 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546420520.811 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546420520.811 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420520.811 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420520.812 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420520.812 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.812 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.812 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.812 * [misc]backup-simplify: Simplify 0 into 0 1546420520.812 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.814 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.814 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.815 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.815 * [misc]backup-simplify: Simplify 0 into 0 1546420520.816 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1546420520.816 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1546420520.818 * [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 1546420520.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420520.818 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1546420520.819 * [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))) 1546420520.820 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.820 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420520.821 * [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))))))))) 1546420520.821 * [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 1546420520.821 * [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 1546420520.821 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1546420520.821 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.821 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.821 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1546420520.821 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1546420520.821 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.821 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.821 * [misc]backup-simplify: Simplify 2 into 2 1546420520.821 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.821 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.822 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.822 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.822 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.822 * [misc]backup-simplify: Simplify 2 into 2 1546420520.822 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.822 * [misc]taylor: Taking taylor expansion of n in n 1546420520.822 * [misc]backup-simplify: Simplify 0 into 0 1546420520.822 * [misc]backup-simplify: Simplify 1 into 1 1546420520.822 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.822 * [misc]backup-simplify: Simplify PI into PI 1546420520.822 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.822 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.822 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.823 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.823 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.823 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420520.823 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.823 * [misc]taylor: Taking taylor expansion of n in n 1546420520.823 * [misc]backup-simplify: Simplify 0 into 0 1546420520.823 * [misc]backup-simplify: Simplify 1 into 1 1546420520.823 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.823 * [misc]backup-simplify: Simplify PI into PI 1546420520.823 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.824 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.824 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.824 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420520.824 * [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 1546420520.824 * [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 1546420520.824 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1546420520.824 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.824 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.824 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1546420520.824 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1546420520.824 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.824 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.824 * [misc]backup-simplify: Simplify 2 into 2 1546420520.824 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.825 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.825 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1546420520.825 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1546420520.825 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1546420520.825 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.825 * [misc]backup-simplify: Simplify 2 into 2 1546420520.825 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.825 * [misc]taylor: Taking taylor expansion of n in n 1546420520.825 * [misc]backup-simplify: Simplify 0 into 0 1546420520.825 * [misc]backup-simplify: Simplify 1 into 1 1546420520.825 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.825 * [misc]backup-simplify: Simplify PI into PI 1546420520.825 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.825 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420520.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.826 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1546420520.826 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.827 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.827 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420520.827 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.827 * [misc]taylor: Taking taylor expansion of n in n 1546420520.827 * [misc]backup-simplify: Simplify 0 into 0 1546420520.827 * [misc]backup-simplify: Simplify 1 into 1 1546420520.827 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.827 * [misc]backup-simplify: Simplify PI into PI 1546420520.827 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.827 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.827 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.828 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420520.828 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546420520.828 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546420520.828 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.828 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.828 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546420520.828 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420520.828 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.828 * [misc]backup-simplify: Simplify 2 into 2 1546420520.828 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420520.828 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420520.828 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420520.828 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420520.828 * [misc]taylor: Taking taylor expansion of n in n 1546420520.828 * [misc]backup-simplify: Simplify 0 into 0 1546420520.828 * [misc]backup-simplify: Simplify 1 into 1 1546420520.828 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.828 * [misc]backup-simplify: Simplify PI into PI 1546420520.828 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420520.829 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420520.829 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.829 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420520.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.830 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1546420520.830 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1546420520.830 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420520.831 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.831 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.832 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1546420520.832 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1546420520.833 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1546420520.833 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420520.833 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420520.833 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420520.834 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.834 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.834 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.835 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.835 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.835 * [misc]backup-simplify: Simplify 0 into 0 1546420520.836 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420520.836 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1546420520.838 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.838 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1546420520.839 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1546420520.840 * [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)))))))) 1546420520.841 * [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)))))))) 1546420520.842 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.843 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.844 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420520.846 * [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)))))))))) 1546420520.848 * [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))))))) 1546420520.850 * [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))))))) 1546420520.851 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420520.852 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546420520.853 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546420520.855 * [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)))) 1546420520.860 * [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)))) 1546420520.861 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546420520.863 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546420520.869 * [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))))))))))))) 1546420520.870 * [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))))) 1546420520.870 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1546420520.870 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.870 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420520.870 * [misc]taylor: Taking taylor expansion of k in n 1546420520.870 * [misc]backup-simplify: Simplify k into k 1546420520.870 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420520.870 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420520.870 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.870 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.870 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.870 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.871 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.871 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.871 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.871 * [misc]taylor: Taking taylor expansion of k in n 1546420520.871 * [misc]backup-simplify: Simplify k into k 1546420520.871 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.871 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.871 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.871 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.871 * [misc]backup-simplify: Simplify 2 into 2 1546420520.871 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.871 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.871 * [misc]backup-simplify: Simplify PI into PI 1546420520.871 * [misc]taylor: Taking taylor expansion of n in n 1546420520.871 * [misc]backup-simplify: Simplify 0 into 0 1546420520.871 * [misc]backup-simplify: Simplify 1 into 1 1546420520.872 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.872 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.872 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.872 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.873 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.873 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.873 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.874 * [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))) 1546420520.875 * [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)))) 1546420520.875 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420520.875 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420520.875 * [misc]taylor: Taking taylor expansion of k in k 1546420520.875 * [misc]backup-simplify: Simplify 0 into 0 1546420520.875 * [misc]backup-simplify: Simplify 1 into 1 1546420520.875 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.875 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of k in k 1546420520.876 * [misc]backup-simplify: Simplify 0 into 0 1546420520.876 * [misc]backup-simplify: Simplify 1 into 1 1546420520.876 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.876 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.876 * [misc]backup-simplify: Simplify 2 into 2 1546420520.876 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.876 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.876 * [misc]backup-simplify: Simplify PI into PI 1546420520.876 * [misc]taylor: Taking taylor expansion of n in k 1546420520.876 * [misc]backup-simplify: Simplify n into n 1546420520.876 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.876 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420520.877 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420520.877 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.877 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.877 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.877 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420520.877 * [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)))) 1546420520.877 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420520.877 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420520.878 * [misc]taylor: Taking taylor expansion of k in k 1546420520.878 * [misc]backup-simplify: Simplify 0 into 0 1546420520.878 * [misc]backup-simplify: Simplify 1 into 1 1546420520.878 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.878 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420520.878 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420520.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1546420520.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1546420520.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420520.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.879 * [misc]taylor: Taking taylor expansion of k in k 1546420520.879 * [misc]backup-simplify: Simplify 0 into 0 1546420520.879 * [misc]backup-simplify: Simplify 1 into 1 1546420520.879 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.879 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1546420520.879 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1546420520.879 * [misc]taylor: Taking taylor expansion of 2 in k 1546420520.879 * [misc]backup-simplify: Simplify 2 into 2 1546420520.879 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.879 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.879 * [misc]backup-simplify: Simplify PI into PI 1546420520.879 * [misc]taylor: Taking taylor expansion of n in k 1546420520.879 * [misc]backup-simplify: Simplify n into n 1546420520.879 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.879 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1546420520.879 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1546420520.880 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.880 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420520.880 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420520.880 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1546420520.880 * [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)))) 1546420520.880 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1546420520.880 * [misc]taylor: Taking taylor expansion of 0 in n 1546420520.881 * [misc]backup-simplify: Simplify 0 into 0 1546420520.881 * [misc]backup-simplify: Simplify 0 into 0 1546420520.881 * [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)))))) 1546420520.881 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.881 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.881 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.881 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.881 * [misc]taylor: Taking taylor expansion of k in n 1546420520.882 * [misc]backup-simplify: Simplify k into k 1546420520.882 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.882 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.882 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.882 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.882 * [misc]backup-simplify: Simplify 2 into 2 1546420520.882 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.882 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.882 * [misc]backup-simplify: Simplify PI into PI 1546420520.882 * [misc]taylor: Taking taylor expansion of n in n 1546420520.882 * [misc]backup-simplify: Simplify 0 into 0 1546420520.882 * [misc]backup-simplify: Simplify 1 into 1 1546420520.882 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.882 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.883 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.883 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.883 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.884 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.884 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.885 * [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))) 1546420520.886 * [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)))) 1546420520.887 * [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))))) 1546420520.887 * [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)))))) 1546420520.888 * [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)))))) 1546420520.888 * [misc]backup-simplify: Simplify 0 into 0 1546420520.889 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420520.890 * [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)))))) 1546420520.890 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.890 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.890 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.890 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.890 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.890 * [misc]taylor: Taking taylor expansion of k in n 1546420520.890 * [misc]backup-simplify: Simplify k into k 1546420520.890 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.890 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.891 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.891 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.891 * [misc]backup-simplify: Simplify 2 into 2 1546420520.891 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.891 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.891 * [misc]backup-simplify: Simplify PI into PI 1546420520.891 * [misc]taylor: Taking taylor expansion of n in n 1546420520.891 * [misc]backup-simplify: Simplify 0 into 0 1546420520.891 * [misc]backup-simplify: Simplify 1 into 1 1546420520.891 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.891 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.892 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.892 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.892 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.892 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.893 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.893 * [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))) 1546420520.894 * [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)))) 1546420520.895 * [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))))) 1546420520.896 * [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)))))) 1546420520.896 * [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)))))) 1546420520.898 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.898 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1546420520.901 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1546420520.901 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.901 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420520.902 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.902 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.903 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1546420520.905 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.906 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1546420520.906 * [misc]backup-simplify: Simplify (- 0) into 0 1546420520.906 * [misc]backup-simplify: Simplify 0 into 0 1546420520.906 * [misc]backup-simplify: Simplify 0 into 0 1546420520.907 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420520.908 * [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)))))) 1546420520.908 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.908 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.908 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of k in n 1546420520.908 * [misc]backup-simplify: Simplify k into k 1546420520.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.908 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1546420520.908 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1546420520.909 * [misc]taylor: Taking taylor expansion of 2 in n 1546420520.909 * [misc]backup-simplify: Simplify 2 into 2 1546420520.909 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.909 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.909 * [misc]backup-simplify: Simplify PI into PI 1546420520.909 * [misc]taylor: Taking taylor expansion of n in n 1546420520.909 * [misc]backup-simplify: Simplify 0 into 0 1546420520.909 * [misc]backup-simplify: Simplify 1 into 1 1546420520.909 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.909 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1546420520.910 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1546420520.910 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.910 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420520.910 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420520.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1546420520.911 * [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))) 1546420520.912 * [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)))) 1546420520.913 * [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))))) 1546420520.913 * [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)))))) 1546420520.914 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) 1546420520.917 * [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)))))))) 1546420520.917 * [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))) 1546420520.917 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546420520.918 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of k in n 1546420520.918 * [misc]backup-simplify: Simplify k into k 1546420520.918 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.918 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.918 * [misc]backup-simplify: Simplify -2 into -2 1546420520.918 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.918 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.918 * [misc]backup-simplify: Simplify PI into PI 1546420520.918 * [misc]taylor: Taking taylor expansion of n in n 1546420520.918 * [misc]backup-simplify: Simplify 0 into 0 1546420520.918 * [misc]backup-simplify: Simplify 1 into 1 1546420520.919 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.919 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.920 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.920 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.920 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.921 * [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))) 1546420520.922 * [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)))) 1546420520.922 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420520.922 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420520.922 * [misc]taylor: Taking taylor expansion of -1 in n 1546420520.922 * [misc]backup-simplify: Simplify -1 into -1 1546420520.922 * [misc]taylor: Taking taylor expansion of k in n 1546420520.922 * [misc]backup-simplify: Simplify k into k 1546420520.922 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420520.922 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420520.922 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420520.922 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420520.923 * [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))) 1546420520.923 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.923 * [misc]taylor: Taking taylor expansion of k in k 1546420520.923 * [misc]backup-simplify: Simplify 0 into 0 1546420520.923 * [misc]backup-simplify: Simplify 1 into 1 1546420520.924 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.924 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420520.924 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420520.924 * [misc]taylor: Taking taylor expansion of -2 in k 1546420520.924 * [misc]backup-simplify: Simplify -2 into -2 1546420520.924 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.924 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.924 * [misc]backup-simplify: Simplify PI into PI 1546420520.924 * [misc]taylor: Taking taylor expansion of n in k 1546420520.924 * [misc]backup-simplify: Simplify n into n 1546420520.924 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.924 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420520.924 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420520.924 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.925 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.925 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420520.925 * [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))) 1546420520.925 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420520.925 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420520.925 * [misc]taylor: Taking taylor expansion of -1 in k 1546420520.925 * [misc]backup-simplify: Simplify -1 into -1 1546420520.925 * [misc]taylor: Taking taylor expansion of k in k 1546420520.925 * [misc]backup-simplify: Simplify 0 into 0 1546420520.925 * [misc]backup-simplify: Simplify 1 into 1 1546420520.925 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420520.925 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.926 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420520.926 * [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)))) 1546420520.926 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546420520.926 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420520.926 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1546420520.926 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1546420520.926 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420520.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420520.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420520.927 * [misc]taylor: Taking taylor expansion of k in k 1546420520.927 * [misc]backup-simplify: Simplify 0 into 0 1546420520.927 * [misc]backup-simplify: Simplify 1 into 1 1546420520.927 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420520.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420520.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.927 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1546420520.927 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1546420520.927 * [misc]taylor: Taking taylor expansion of -2 in k 1546420520.927 * [misc]backup-simplify: Simplify -2 into -2 1546420520.927 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1546420520.927 * [misc]taylor: Taking taylor expansion of PI in k 1546420520.927 * [misc]backup-simplify: Simplify PI into PI 1546420520.927 * [misc]taylor: Taking taylor expansion of n in k 1546420520.927 * [misc]backup-simplify: Simplify n into n 1546420520.927 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1546420520.927 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1546420520.927 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1546420520.928 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420520.928 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420520.928 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1546420520.928 * [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))) 1546420520.928 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420520.928 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420520.928 * [misc]taylor: Taking taylor expansion of -1 in k 1546420520.928 * [misc]backup-simplify: Simplify -1 into -1 1546420520.928 * [misc]taylor: Taking taylor expansion of k in k 1546420520.928 * [misc]backup-simplify: Simplify 0 into 0 1546420520.928 * [misc]backup-simplify: Simplify 1 into 1 1546420520.928 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420520.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420520.929 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420520.929 * [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)))) 1546420520.929 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420520.929 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.930 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.930 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.930 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.930 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.930 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.930 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.930 * [misc]backup-simplify: Simplify -2 into -2 1546420520.930 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.930 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.930 * [misc]backup-simplify: Simplify PI into PI 1546420520.930 * [misc]taylor: Taking taylor expansion of n in n 1546420520.930 * [misc]backup-simplify: Simplify 0 into 0 1546420520.930 * [misc]backup-simplify: Simplify 1 into 1 1546420520.930 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.930 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.931 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.931 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.931 * [misc]taylor: Taking taylor expansion of k in n 1546420520.931 * [misc]backup-simplify: Simplify k into k 1546420520.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.932 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.932 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.932 * [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))) 1546420520.933 * [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)))) 1546420520.933 * [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))))) 1546420520.933 * [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))))) 1546420520.934 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420520.934 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420520.935 * [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))))) 1546420520.935 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.935 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.935 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.935 * [misc]backup-simplify: Simplify -2 into -2 1546420520.935 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.935 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.935 * [misc]backup-simplify: Simplify PI into PI 1546420520.935 * [misc]taylor: Taking taylor expansion of n in n 1546420520.935 * [misc]backup-simplify: Simplify 0 into 0 1546420520.935 * [misc]backup-simplify: Simplify 1 into 1 1546420520.935 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.935 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.936 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.936 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.936 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.936 * [misc]taylor: Taking taylor expansion of k in n 1546420520.936 * [misc]backup-simplify: Simplify k into k 1546420520.936 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.937 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.937 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.937 * [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))) 1546420520.937 * [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)))) 1546420520.938 * [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))))) 1546420520.938 * [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)))))) 1546420520.939 * [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)))))) 1546420520.939 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.939 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420520.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420520.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420520.940 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1546420520.941 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1546420520.943 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1546420520.943 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1546420520.944 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420520.945 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1546420520.945 * [misc]backup-simplify: Simplify 0 into 0 1546420520.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420520.946 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420520.947 * [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))))) 1546420520.947 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420520.947 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420520.947 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of -2 in n 1546420520.947 * [misc]backup-simplify: Simplify -2 into -2 1546420520.947 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1546420520.947 * [misc]taylor: Taking taylor expansion of PI in n 1546420520.947 * [misc]backup-simplify: Simplify PI into PI 1546420520.947 * [misc]taylor: Taking taylor expansion of n in n 1546420520.947 * [misc]backup-simplify: Simplify 0 into 0 1546420520.947 * [misc]backup-simplify: Simplify 1 into 1 1546420520.947 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1546420520.947 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1546420520.947 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1546420520.947 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420520.948 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420520.948 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.948 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420520.948 * [misc]taylor: Taking taylor expansion of k in n 1546420520.948 * [misc]backup-simplify: Simplify k into k 1546420520.948 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420520.948 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420520.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420520.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1546420520.948 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420520.948 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420520.949 * [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))) 1546420520.949 * [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)))) 1546420520.949 * [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))))) 1546420520.950 * [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)))))) 1546420520.950 * [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)))))) 1546420520.952 * [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))))))))))) 1546420520.952 * * * [misc]progress: simplifying candidates 1546420520.952 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1546420520.952 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1546420520.952 * * [misc]simplify: iters left: 6 (11 enodes) 1546420520.954 * * [misc]simplify: iters left: 5 (21 enodes) 1546420520.958 * * [misc]simplify: iters left: 4 (47 enodes) 1546420520.974 * * [misc]simplify: iters left: 3 (109 enodes) 1546420521.014 * * [misc]simplify: iters left: 2 (300 enodes) 1546420521.210 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1546420521.210 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1546420521.210 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1546420521.210 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1546420521.211 * [enter]simplify: Simplifying (* PI (* n 2)) 1546420521.211 * * [misc]simplify: iters left: 4 (5 enodes) 1546420521.212 * * [misc]simplify: iters left: 3 (9 enodes) 1546420521.215 * * [misc]simplify: iters left: 2 (15 enodes) 1546420521.219 * * [misc]simplify: iters left: 1 (17 enodes) 1546420521.223 * [exit]simplify: Simplified to (* (* 2 n) PI) 1546420521.223 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1546420521.223 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1546420521.224 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546420521.224 * * [misc]simplify: iters left: 5 (8 enodes) 1546420521.226 * * [misc]simplify: iters left: 4 (12 enodes) 1546420521.230 * * [misc]simplify: iters left: 3 (18 enodes) 1546420521.235 * * [misc]simplify: iters left: 2 (20 enodes) 1546420521.241 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546420521.241 * [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)))))) 1546420521.241 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1546420521.241 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546420521.241 * * [misc]simplify: iters left: 5 (6 enodes) 1546420521.243 * * [misc]simplify: iters left: 4 (8 enodes) 1546420521.245 * * [misc]simplify: iters left: 3 (11 enodes) 1546420521.249 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546420521.249 * [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))))))) 1546420521.249 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1546420521.249 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546420521.249 * * [misc]simplify: iters left: 5 (6 enodes) 1546420521.251 * * [misc]simplify: iters left: 4 (8 enodes) 1546420521.255 * * [misc]simplify: iters left: 3 (11 enodes) 1546420521.256 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546420521.256 * [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))))))) 1546420521.256 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1546420521.256 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546420521.256 * * [misc]simplify: iters left: 4 (5 enodes) 1546420521.257 * * [misc]simplify: iters left: 3 (7 enodes) 1546420521.258 * * [misc]simplify: iters left: 2 (10 enodes) 1546420521.260 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546420521.260 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1546420521.260 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1546420521.260 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546420521.260 * * [misc]simplify: iters left: 5 (9 enodes) 1546420521.261 * * [misc]simplify: iters left: 4 (15 enodes) 1546420521.263 * * [misc]simplify: iters left: 3 (21 enodes) 1546420521.266 * * [misc]simplify: iters left: 2 (22 enodes) 1546420521.269 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546420521.269 * [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))))))) 1546420521.269 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1546420521.269 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546420521.269 * * [misc]simplify: iters left: 5 (9 enodes) 1546420521.271 * * [misc]simplify: iters left: 4 (15 enodes) 1546420521.273 * * [misc]simplify: iters left: 3 (21 enodes) 1546420521.276 * * [misc]simplify: iters left: 2 (22 enodes) 1546420521.278 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546420521.278 * [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))))))) 1546420521.278 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1546420521.279 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1546420521.279 * * [misc]simplify: iters left: 5 (7 enodes) 1546420521.280 * * [misc]simplify: iters left: 4 (9 enodes) 1546420521.281 * * [misc]simplify: iters left: 3 (12 enodes) 1546420521.283 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1546420521.283 * [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))))))) 1546420521.283 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1546420521.283 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1546420521.284 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546420521.284 * * [misc]simplify: iters left: 6 (14 enodes) 1546420521.289 * * [misc]simplify: iters left: 5 (26 enodes) 1546420521.298 * * [misc]simplify: iters left: 4 (59 enodes) 1546420521.320 * * [misc]simplify: iters left: 3 (164 enodes) 1546420521.378 * * [misc]simplify: iters left: 2 (488 enodes) 1546420521.658 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1546420521.658 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1546420521.658 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1546420521.659 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1546420521.659 * * [misc]simplify: iters left: 6 (14 enodes) 1546420521.661 * * [misc]simplify: iters left: 5 (26 enodes) 1546420521.668 * * [misc]simplify: iters left: 4 (59 enodes) 1546420521.690 * * [misc]simplify: iters left: 3 (164 enodes) 1546420521.747 * * [misc]simplify: iters left: 2 (488 enodes) 1546420522.108 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1546420522.108 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1546420522.109 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1546420522.109 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420522.109 * * [misc]simplify: iters left: 6 (14 enodes) 1546420522.113 * * [misc]simplify: iters left: 5 (24 enodes) 1546420522.121 * * [misc]simplify: iters left: 4 (46 enodes) 1546420522.136 * * [misc]simplify: iters left: 3 (103 enodes) 1546420522.186 * * [misc]simplify: iters left: 2 (336 enodes) 1546420522.453 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1546420522.453 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1546420522.453 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1546420522.453 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1546420522.453 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1546420522.453 * [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))))) 1546420522.453 * * [misc]simplify: iters left: 6 (16 enodes) 1546420522.457 * * [misc]simplify: iters left: 5 (31 enodes) 1546420522.467 * * [misc]simplify: iters left: 4 (70 enodes) 1546420522.492 * * [misc]simplify: iters left: 3 (130 enodes) 1546420522.523 * * [misc]simplify: iters left: 2 (206 enodes) 1546420522.590 * * [misc]simplify: iters left: 1 (288 enodes) 1546420522.682 * [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))))) 1546420522.682 * [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)))))))) 1546420522.682 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1546420522.682 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1546420522.682 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1546420522.682 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1546420522.682 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1546420522.682 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546420522.682 * * [misc]simplify: iters left: 6 (12 enodes) 1546420522.684 * * [misc]simplify: iters left: 5 (19 enodes) 1546420522.687 * * [misc]simplify: iters left: 4 (27 enodes) 1546420522.695 * * [misc]simplify: iters left: 3 (29 enodes) 1546420522.702 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546420522.702 * [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))))))) 1546420522.702 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420522.703 * * [misc]simplify: iters left: 6 (12 enodes) 1546420522.706 * * [misc]simplify: iters left: 5 (18 enodes) 1546420522.711 * * [misc]simplify: iters left: 4 (24 enodes) 1546420522.717 * * [misc]simplify: iters left: 3 (25 enodes) 1546420522.720 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420522.720 * [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))))))) 1546420522.720 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1546420522.720 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1546420522.720 * * [misc]simplify: iters left: 6 (12 enodes) 1546420522.722 * * [misc]simplify: iters left: 5 (19 enodes) 1546420522.725 * * [misc]simplify: iters left: 4 (27 enodes) 1546420522.728 * * [misc]simplify: iters left: 3 (29 enodes) 1546420522.732 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1546420522.732 * [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))))))) 1546420522.732 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420522.732 * * [misc]simplify: iters left: 6 (12 enodes) 1546420522.735 * * [misc]simplify: iters left: 5 (18 enodes) 1546420522.738 * * [misc]simplify: iters left: 4 (24 enodes) 1546420522.741 * * [misc]simplify: iters left: 3 (25 enodes) 1546420522.744 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420522.744 * [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))))))) 1546420522.745 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1546420522.745 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546420522.745 * * [misc]simplify: iters left: 6 (11 enodes) 1546420522.746 * * [misc]simplify: iters left: 5 (15 enodes) 1546420522.749 * * [misc]simplify: iters left: 4 (20 enodes) 1546420522.752 * * [misc]simplify: iters left: 3 (21 enodes) 1546420522.758 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1546420522.758 * [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))))))) 1546420522.758 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420522.758 * * [misc]simplify: iters left: 6 (11 enodes) 1546420522.760 * * [misc]simplify: iters left: 5 (14 enodes) 1546420522.762 * * [misc]simplify: iters left: 4 (17 enodes) 1546420522.765 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420522.765 * [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))))))) 1546420522.765 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1546420522.765 * [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)))))) 1546420522.765 * * [misc]simplify: iters left: 6 (16 enodes) 1546420522.768 * * [misc]simplify: iters left: 5 (28 enodes) 1546420522.772 * * [misc]simplify: iters left: 4 (46 enodes) 1546420522.778 * * [misc]simplify: iters left: 3 (50 enodes) 1546420522.785 * * [misc]simplify: iters left: 2 (53 enodes) 1546420522.799 * [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)))))) 1546420522.799 * [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)))))))) 1546420522.799 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420522.799 * * [misc]simplify: iters left: 6 (14 enodes) 1546420522.804 * * [misc]simplify: iters left: 5 (20 enodes) 1546420522.808 * * [misc]simplify: iters left: 4 (29 enodes) 1546420522.812 * * [misc]simplify: iters left: 3 (30 enodes) 1546420522.816 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420522.816 * [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)))))))) 1546420522.816 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1546420522.816 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420522.816 * * [misc]simplify: iters left: 6 (15 enodes) 1546420522.819 * * [misc]simplify: iters left: 5 (23 enodes) 1546420522.822 * * [misc]simplify: iters left: 4 (34 enodes) 1546420522.827 * * [misc]simplify: iters left: 3 (36 enodes) 1546420522.832 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420522.832 * [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)))))))) 1546420522.832 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420522.832 * * [misc]simplify: iters left: 6 (14 enodes) 1546420522.834 * * [misc]simplify: iters left: 5 (20 enodes) 1546420522.840 * * [misc]simplify: iters left: 4 (29 enodes) 1546420522.847 * * [misc]simplify: iters left: 3 (30 enodes) 1546420522.855 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420522.855 * [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)))))))) 1546420522.855 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1546420522.855 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546420522.855 * * [misc]simplify: iters left: 6 (6 enodes) 1546420522.857 * * [misc]simplify: iters left: 5 (10 enodes) 1546420522.861 * * [misc]simplify: iters left: 4 (16 enodes) 1546420522.864 * * [misc]simplify: iters left: 3 (18 enodes) 1546420522.868 * * [misc]simplify: iters left: 2 (23 enodes) 1546420522.871 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420522.871 * [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))))))) 1546420522.871 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420522.871 * * [misc]simplify: iters left: 6 (13 enodes) 1546420522.873 * * [misc]simplify: iters left: 5 (19 enodes) 1546420522.876 * * [misc]simplify: iters left: 4 (28 enodes) 1546420522.880 * * [misc]simplify: iters left: 3 (30 enodes) 1546420522.883 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546420522.883 * [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))))))) 1546420522.884 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1546420522.884 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546420522.884 * * [misc]simplify: iters left: 6 (11 enodes) 1546420522.885 * * [misc]simplify: iters left: 5 (16 enodes) 1546420522.888 * * [misc]simplify: iters left: 4 (22 enodes) 1546420522.890 * * [misc]simplify: iters left: 3 (23 enodes) 1546420522.893 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546420522.893 * [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))))))) 1546420522.894 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420522.894 * * [misc]simplify: iters left: 6 (12 enodes) 1546420522.895 * * [misc]simplify: iters left: 5 (18 enodes) 1546420522.898 * * [misc]simplify: iters left: 4 (24 enodes) 1546420522.903 * * [misc]simplify: iters left: 3 (25 enodes) 1546420522.909 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420522.909 * [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))))))) 1546420522.910 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1546420522.910 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1546420522.910 * * [misc]simplify: iters left: 6 (11 enodes) 1546420522.913 * * [misc]simplify: iters left: 5 (16 enodes) 1546420522.918 * * [misc]simplify: iters left: 4 (22 enodes) 1546420522.924 * * [misc]simplify: iters left: 3 (23 enodes) 1546420522.929 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1546420522.929 * [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))))))) 1546420522.930 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420522.930 * * [misc]simplify: iters left: 6 (12 enodes) 1546420522.933 * * [misc]simplify: iters left: 5 (18 enodes) 1546420522.939 * * [misc]simplify: iters left: 4 (24 enodes) 1546420522.947 * * [misc]simplify: iters left: 3 (25 enodes) 1546420522.953 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420522.953 * [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))))))) 1546420522.953 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1546420522.954 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546420522.954 * * [misc]simplify: iters left: 6 (10 enodes) 1546420522.957 * * [misc]simplify: iters left: 5 (12 enodes) 1546420522.960 * * [misc]simplify: iters left: 4 (15 enodes) 1546420522.964 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546420522.964 * [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))))))) 1546420522.964 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420522.965 * * [misc]simplify: iters left: 6 (11 enodes) 1546420522.968 * * [misc]simplify: iters left: 5 (14 enodes) 1546420522.969 * * [misc]simplify: iters left: 4 (17 enodes) 1546420522.972 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420522.972 * [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))))))) 1546420522.972 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1546420522.972 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546420522.972 * * [misc]simplify: iters left: 6 (15 enodes) 1546420522.974 * * [misc]simplify: iters left: 5 (23 enodes) 1546420522.978 * * [misc]simplify: iters left: 4 (32 enodes) 1546420522.985 * * [misc]simplify: iters left: 3 (34 enodes) 1546420522.994 * [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)))))) 1546420522.994 * [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)))))))) 1546420522.994 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420522.994 * * [misc]simplify: iters left: 6 (14 enodes) 1546420522.999 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.005 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.012 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.020 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.020 * [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)))))))) 1546420523.020 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1546420523.020 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.021 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.025 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.031 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.038 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.046 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.046 * [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)))))))) 1546420523.046 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.046 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.051 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.056 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.060 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.064 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.064 * [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)))))))) 1546420523.064 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1546420523.064 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546420523.064 * * [misc]simplify: iters left: 4 (5 enodes) 1546420523.065 * * [misc]simplify: iters left: 3 (7 enodes) 1546420523.066 * * [misc]simplify: iters left: 2 (9 enodes) 1546420523.067 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420523.067 * [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))))))) 1546420523.067 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.067 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.070 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.073 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.076 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.080 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546420523.080 * [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))))))) 1546420523.080 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1546420523.080 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546420523.081 * * [misc]simplify: iters left: 6 (9 enodes) 1546420523.082 * * [misc]simplify: iters left: 5 (16 enodes) 1546420523.084 * * [misc]simplify: iters left: 4 (22 enodes) 1546420523.087 * * [misc]simplify: iters left: 3 (23 enodes) 1546420523.092 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546420523.092 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546420523.092 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.092 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.096 * * [misc]simplify: iters left: 5 (17 enodes) 1546420523.101 * * [misc]simplify: iters left: 4 (23 enodes) 1546420523.107 * * [misc]simplify: iters left: 3 (24 enodes) 1546420523.113 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546420523.113 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546420523.113 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1546420523.114 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1546420523.114 * * [misc]simplify: iters left: 6 (9 enodes) 1546420523.117 * * [misc]simplify: iters left: 5 (16 enodes) 1546420523.120 * * [misc]simplify: iters left: 4 (22 enodes) 1546420523.123 * * [misc]simplify: iters left: 3 (23 enodes) 1546420523.125 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1546420523.126 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1546420523.126 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.126 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.127 * * [misc]simplify: iters left: 5 (17 enodes) 1546420523.130 * * [misc]simplify: iters left: 4 (23 enodes) 1546420523.133 * * [misc]simplify: iters left: 3 (24 enodes) 1546420523.136 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546420523.136 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1546420523.136 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1546420523.136 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546420523.136 * * [misc]simplify: iters left: 6 (9 enodes) 1546420523.137 * * [misc]simplify: iters left: 5 (13 enodes) 1546420523.139 * * [misc]simplify: iters left: 4 (16 enodes) 1546420523.141 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1546420523.141 * [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))))))) 1546420523.141 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.141 * * [misc]simplify: iters left: 6 (10 enodes) 1546420523.143 * * [misc]simplify: iters left: 5 (13 enodes) 1546420523.145 * * [misc]simplify: iters left: 4 (16 enodes) 1546420523.147 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.147 * [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))))))) 1546420523.147 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1546420523.147 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546420523.147 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.149 * * [misc]simplify: iters left: 5 (24 enodes) 1546420523.153 * * [misc]simplify: iters left: 4 (33 enodes) 1546420523.157 * * [misc]simplify: iters left: 3 (34 enodes) 1546420523.162 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1546420523.162 * [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)))))))) 1546420523.162 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.162 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.164 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.167 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.171 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.174 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546420523.175 * [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)))))))) 1546420523.175 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1546420523.175 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.175 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.177 * * [misc]simplify: iters left: 5 (21 enodes) 1546420523.180 * * [misc]simplify: iters left: 4 (30 enodes) 1546420523.188 * * [misc]simplify: iters left: 3 (31 enodes) 1546420523.195 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1546420523.196 * [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)))))))) 1546420523.196 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.196 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.200 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.206 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.214 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.221 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546420523.221 * [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)))))))) 1546420523.221 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1546420523.222 * [enter]simplify: Simplifying (/ 1 1) 1546420523.222 * * [misc]simplify: iters left: 2 (2 enodes) 1546420523.223 * * [misc]simplify: iters left: 1 (4 enodes) 1546420523.223 * [exit]simplify: Simplified to 1 1546420523.223 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546420523.223 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.224 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.227 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.232 * * [misc]simplify: iters left: 4 (27 enodes) 1546420523.237 * * [misc]simplify: iters left: 3 (29 enodes) 1546420523.240 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.240 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1546420523.241 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1546420523.241 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1546420523.241 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1546420523.241 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1546420523.241 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546420523.241 * * [misc]simplify: iters left: 5 (9 enodes) 1546420523.242 * * [misc]simplify: iters left: 4 (15 enodes) 1546420523.244 * * [misc]simplify: iters left: 3 (21 enodes) 1546420523.247 * * [misc]simplify: iters left: 2 (22 enodes) 1546420523.250 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546420523.250 * [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)))))) 1546420523.250 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1546420523.250 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1546420523.250 * * [misc]simplify: iters left: 5 (9 enodes) 1546420523.251 * * [misc]simplify: iters left: 4 (15 enodes) 1546420523.253 * * [misc]simplify: iters left: 3 (21 enodes) 1546420523.257 * * [misc]simplify: iters left: 2 (22 enodes) 1546420523.259 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1546420523.259 * [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)))))) 1546420523.259 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1546420523.260 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546420523.260 * * [misc]simplify: iters left: 5 (8 enodes) 1546420523.261 * * [misc]simplify: iters left: 4 (11 enodes) 1546420523.263 * * [misc]simplify: iters left: 3 (14 enodes) 1546420523.264 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546420523.265 * [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)))))) 1546420523.265 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1546420523.265 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.265 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.267 * * [misc]simplify: iters left: 5 (17 enodes) 1546420523.269 * * [misc]simplify: iters left: 4 (26 enodes) 1546420523.275 * * [misc]simplify: iters left: 3 (27 enodes) 1546420523.278 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546420523.278 * [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))))))) 1546420523.278 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1546420523.279 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.279 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.280 * * [misc]simplify: iters left: 5 (17 enodes) 1546420523.283 * * [misc]simplify: iters left: 4 (26 enodes) 1546420523.286 * * [misc]simplify: iters left: 3 (27 enodes) 1546420523.290 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1546420523.290 * [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))))))) 1546420523.290 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1546420523.290 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546420523.290 * * [misc]simplify: iters left: 5 (10 enodes) 1546420523.292 * * [misc]simplify: iters left: 4 (16 enodes) 1546420523.294 * * [misc]simplify: iters left: 3 (25 enodes) 1546420523.297 * * [misc]simplify: iters left: 2 (26 enodes) 1546420523.301 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546420523.301 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1546420523.301 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1546420523.301 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420523.301 * * [misc]simplify: iters left: 4 (4 enodes) 1546420523.302 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420523.302 * [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)))))) 1546420523.302 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1546420523.302 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546420523.302 * * [misc]simplify: iters left: 2 (3 enodes) 1546420523.302 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420523.302 * [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)))))) 1546420523.302 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1546420523.302 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1546420523.302 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546420523.302 * * [misc]simplify: iters left: 5 (8 enodes) 1546420523.304 * * [misc]simplify: iters left: 4 (12 enodes) 1546420523.305 * * [misc]simplify: iters left: 3 (18 enodes) 1546420523.308 * * [misc]simplify: iters left: 2 (20 enodes) 1546420523.311 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546420523.311 * [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))))) 1546420523.311 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1546420523.311 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1546420523.311 * [enter]simplify: Simplifying (- 1) 1546420523.311 * * [misc]simplify: iters left: 2 (2 enodes) 1546420523.312 * * [misc]simplify: iters left: 1 (5 enodes) 1546420523.312 * [exit]simplify: Simplified to -1 1546420523.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1546420523.312 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1546420523.312 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1546420523.312 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1546420523.312 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1546420523.313 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1546420523.313 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.313 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.315 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.318 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.322 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.328 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546420523.328 * [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))))))) 1546420523.328 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1546420523.328 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.328 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.332 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.338 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.345 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.352 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546420523.352 * [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))))))) 1546420523.352 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1546420523.353 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.353 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.356 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.362 * * [misc]simplify: iters left: 4 (24 enodes) 1546420523.369 * * [misc]simplify: iters left: 3 (25 enodes) 1546420523.373 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420523.373 * [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)))))) 1546420523.374 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1546420523.374 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.374 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.376 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.378 * * [misc]simplify: iters left: 4 (24 enodes) 1546420523.381 * * [misc]simplify: iters left: 3 (25 enodes) 1546420523.384 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420523.384 * [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)))))) 1546420523.384 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1546420523.385 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.385 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.386 * * [misc]simplify: iters left: 5 (14 enodes) 1546420523.388 * * [misc]simplify: iters left: 4 (17 enodes) 1546420523.391 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.391 * [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)))))) 1546420523.391 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1546420523.391 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.391 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.393 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.396 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.400 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.406 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.407 * [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))))))) 1546420523.407 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1546420523.407 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.407 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.411 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.416 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.423 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.429 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.429 * [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))))))) 1546420523.429 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1546420523.429 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.429 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.433 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.438 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.445 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.450 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546420523.450 * [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)))))) 1546420523.450 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1546420523.450 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.450 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.452 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.455 * * [misc]simplify: iters left: 4 (24 enodes) 1546420523.458 * * [misc]simplify: iters left: 3 (25 enodes) 1546420523.461 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420523.461 * [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)))))) 1546420523.461 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1546420523.461 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.462 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.463 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.467 * * [misc]simplify: iters left: 4 (24 enodes) 1546420523.470 * * [misc]simplify: iters left: 3 (25 enodes) 1546420523.473 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1546420523.473 * [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)))))) 1546420523.473 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1546420523.473 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.473 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.475 * * [misc]simplify: iters left: 5 (14 enodes) 1546420523.477 * * [misc]simplify: iters left: 4 (17 enodes) 1546420523.480 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.480 * [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)))))) 1546420523.480 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1546420523.480 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.480 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.484 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.490 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.498 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.505 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.505 * [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))))))) 1546420523.505 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1546420523.506 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.506 * * [misc]simplify: iters left: 6 (14 enodes) 1546420523.510 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.516 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.523 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.531 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1546420523.531 * [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))))))) 1546420523.531 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1546420523.531 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.532 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.536 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.541 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.548 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.556 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1546420523.556 * [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)))))) 1546420523.556 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1546420523.556 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.556 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.560 * * [misc]simplify: iters left: 5 (17 enodes) 1546420523.565 * * [misc]simplify: iters left: 4 (23 enodes) 1546420523.571 * * [misc]simplify: iters left: 3 (24 enodes) 1546420523.578 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546420523.578 * [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)))))) 1546420523.578 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1546420523.578 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1546420523.578 * * [misc]simplify: iters left: 6 (11 enodes) 1546420523.582 * * [misc]simplify: iters left: 5 (17 enodes) 1546420523.587 * * [misc]simplify: iters left: 4 (23 enodes) 1546420523.593 * * [misc]simplify: iters left: 3 (24 enodes) 1546420523.599 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1546420523.599 * [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)))))) 1546420523.599 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1546420523.599 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.599 * * [misc]simplify: iters left: 6 (10 enodes) 1546420523.602 * * [misc]simplify: iters left: 5 (13 enodes) 1546420523.607 * * [misc]simplify: iters left: 4 (16 enodes) 1546420523.611 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420523.612 * [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)))))) 1546420523.612 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1546420523.612 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.612 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.616 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.622 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.628 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.632 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546420523.632 * [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))))))) 1546420523.632 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1546420523.632 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1546420523.632 * * [misc]simplify: iters left: 6 (13 enodes) 1546420523.634 * * [misc]simplify: iters left: 5 (19 enodes) 1546420523.637 * * [misc]simplify: iters left: 4 (28 enodes) 1546420523.641 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.644 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1546420523.644 * [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))))))) 1546420523.645 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1546420523.645 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.645 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.647 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.649 * * [misc]simplify: iters left: 4 (27 enodes) 1546420523.653 * * [misc]simplify: iters left: 3 (29 enodes) 1546420523.656 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546420523.656 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1546420523.657 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.657 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.659 * * [misc]simplify: iters left: 5 (18 enodes) 1546420523.663 * * [misc]simplify: iters left: 4 (27 enodes) 1546420523.671 * * [misc]simplify: iters left: 3 (29 enodes) 1546420523.678 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1546420523.678 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1546420523.678 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1546420523.679 * * [misc]simplify: iters left: 6 (12 enodes) 1546420523.682 * * [misc]simplify: iters left: 5 (20 enodes) 1546420523.688 * * [misc]simplify: iters left: 4 (29 enodes) 1546420523.696 * * [misc]simplify: iters left: 3 (30 enodes) 1546420523.704 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1546420523.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1546420523.704 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1546420523.705 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1546420523.705 * * [misc]simplify: iters left: 5 (8 enodes) 1546420523.707 * * [misc]simplify: iters left: 4 (12 enodes) 1546420523.711 * * [misc]simplify: iters left: 3 (18 enodes) 1546420523.716 * * [misc]simplify: iters left: 2 (20 enodes) 1546420523.725 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1546420523.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1546420523.725 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1546420523.726 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1546420523.726 * * [misc]simplify: iters left: 5 (10 enodes) 1546420523.730 * * [misc]simplify: iters left: 4 (16 enodes) 1546420523.735 * * [misc]simplify: iters left: 3 (25 enodes) 1546420523.744 * * [misc]simplify: iters left: 2 (26 enodes) 1546420523.750 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1546420523.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1546420523.750 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1546420523.751 * [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))))) 1546420523.751 * * [misc]simplify: iters left: 6 (37 enodes) 1546420523.766 * * [misc]simplify: iters left: 5 (105 enodes) 1546420523.797 * * [misc]simplify: iters left: 4 (339 enodes) 1546420523.985 * [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))))) 1546420523.985 * [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)))))))) 1546420523.986 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1546420523.986 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1546420523.986 * * [misc]simplify: iters left: 6 (15 enodes) 1546420523.991 * * [misc]simplify: iters left: 5 (33 enodes) 1546420524.001 * * [misc]simplify: iters left: 4 (64 enodes) 1546420524.014 * * [misc]simplify: iters left: 3 (171 enodes) 1546420524.110 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1546420524.111 * [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))))))) 1546420524.111 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1546420524.111 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1546420524.111 * * [misc]simplify: iters left: 6 (15 enodes) 1546420524.116 * * [misc]simplify: iters left: 5 (30 enodes) 1546420524.125 * * [misc]simplify: iters left: 4 (65 enodes) 1546420524.148 * * [misc]simplify: iters left: 3 (200 enodes) 1546420524.297 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1546420524.298 * [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))))))) 1546420524.298 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1546420524.298 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546420524.298 * * [misc]simplify: iters left: 4 (5 enodes) 1546420524.300 * * [misc]simplify: iters left: 3 (9 enodes) 1546420524.302 * * [misc]simplify: iters left: 2 (15 enodes) 1546420524.306 * * [misc]simplify: iters left: 1 (17 enodes) 1546420524.311 * [exit]simplify: Simplified to (* (* PI n) 2) 1546420524.311 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546420524.311 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1546420524.311 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546420524.311 * * [misc]simplify: iters left: 4 (5 enodes) 1546420524.313 * * [misc]simplify: iters left: 3 (9 enodes) 1546420524.315 * * [misc]simplify: iters left: 2 (15 enodes) 1546420524.319 * * [misc]simplify: iters left: 1 (17 enodes) 1546420524.323 * [exit]simplify: Simplified to (* (* PI n) 2) 1546420524.323 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546420524.324 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1546420524.324 * [enter]simplify: Simplifying (* 2 (* n PI)) 1546420524.324 * * [misc]simplify: iters left: 4 (5 enodes) 1546420524.325 * * [misc]simplify: iters left: 3 (9 enodes) 1546420524.328 * * [misc]simplify: iters left: 2 (15 enodes) 1546420524.332 * * [misc]simplify: iters left: 1 (17 enodes) 1546420524.336 * [exit]simplify: Simplified to (* (* PI n) 2) 1546420524.336 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1546420524.336 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1546420524.337 * [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))))))))))) 1546420524.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546420524.337 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1546420524.337 * [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)))))))))))) 1546420524.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546420524.337 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1546420524.337 * [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)))))))))))) 1546420524.337 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1546420524.338 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1546420524.338 * [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))))))))))))) 1546420524.338 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420524.338 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1546420524.338 * [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)))))))) 1546420524.338 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420524.338 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1546420524.338 * [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))))))))))) 1546420524.339 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420524.339 * * * [misc]progress: adding candidates to table 1546420525.627 * * [misc]progress: iteration 3 / 4 1546420525.627 * * * [misc]progress: picking best candidate 1546420525.650 * * * * [misc]pick: Picked # 1546420525.650 * * * [misc]progress: localizing error 1546420525.675 * * * [misc]progress: generating rewritten candidates 1546420525.675 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1546420525.676 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1546420525.679 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1546420525.687 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1546420525.702 * * * [misc]progress: generating series expansions 1546420525.702 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1546420525.702 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546420525.702 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546420525.702 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546420525.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546420525.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546420525.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.702 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.702 * [misc]taylor: Taking taylor expansion of k in k 1546420525.702 * [misc]backup-simplify: Simplify 0 into 0 1546420525.702 * [misc]backup-simplify: Simplify 1 into 1 1546420525.702 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.702 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.702 * [misc]backup-simplify: Simplify PI into PI 1546420525.703 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.703 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.703 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.703 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.703 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420525.704 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546420525.704 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546420525.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546420525.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546420525.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.704 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.704 * [misc]taylor: Taking taylor expansion of k in k 1546420525.704 * [misc]backup-simplify: Simplify 0 into 0 1546420525.704 * [misc]backup-simplify: Simplify 1 into 1 1546420525.704 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.704 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.704 * [misc]backup-simplify: Simplify PI into PI 1546420525.704 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.704 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.704 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.705 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420525.705 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546420525.705 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546420525.707 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546420525.707 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420525.707 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.707 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546420525.710 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546420525.710 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546420525.713 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546420525.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.713 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.714 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546420525.716 * [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))) 1546420525.717 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546420525.719 * [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)))) 1546420525.719 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.719 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546420525.719 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.719 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.719 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.719 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of k in k 1546420525.719 * [misc]backup-simplify: Simplify 0 into 0 1546420525.719 * [misc]backup-simplify: Simplify 1 into 1 1546420525.719 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.719 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.719 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.719 * [misc]backup-simplify: Simplify PI into PI 1546420525.720 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.720 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.720 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.720 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.720 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546420525.720 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.720 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420525.720 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546420525.720 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546420525.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420525.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.721 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.721 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.721 * [misc]taylor: Taking taylor expansion of k in k 1546420525.721 * [misc]backup-simplify: Simplify 0 into 0 1546420525.721 * [misc]backup-simplify: Simplify 1 into 1 1546420525.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.721 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.721 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.721 * [misc]backup-simplify: Simplify PI into PI 1546420525.721 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.721 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.721 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.721 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.722 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546420525.722 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.722 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.722 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546420525.722 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.722 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546420525.722 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420525.722 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546420525.722 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546420525.722 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420525.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.722 * [misc]taylor: Taking taylor expansion of k in k 1546420525.722 * [misc]backup-simplify: Simplify 0 into 0 1546420525.723 * [misc]backup-simplify: Simplify 1 into 1 1546420525.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.723 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.723 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.723 * [misc]backup-simplify: Simplify PI into PI 1546420525.723 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.723 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.723 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.724 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420525.724 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.724 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.724 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of k in k 1546420525.724 * [misc]backup-simplify: Simplify 0 into 0 1546420525.724 * [misc]backup-simplify: Simplify 1 into 1 1546420525.724 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.724 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.724 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.724 * [misc]backup-simplify: Simplify PI into PI 1546420525.724 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.725 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.725 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420525.725 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.725 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.725 * [misc]backup-simplify: Simplify 0 into 0 1546420525.725 * [misc]backup-simplify: Simplify 0 into 0 1546420525.725 * [misc]backup-simplify: Simplify 0 into 0 1546420525.725 * [misc]backup-simplify: Simplify 0 into 0 1546420525.725 * [misc]backup-simplify: Simplify 0 into 0 1546420525.725 * [misc]backup-simplify: Simplify 0 into 0 1546420525.726 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546420525.726 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1546420525.726 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546420525.726 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546420525.726 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.726 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.726 * [misc]taylor: Taking taylor expansion of k in k 1546420525.726 * [misc]backup-simplify: Simplify 0 into 0 1546420525.726 * [misc]backup-simplify: Simplify 1 into 1 1546420525.726 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420525.726 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.726 * [misc]backup-simplify: Simplify 2 into 2 1546420525.726 * [misc]taylor: Taking taylor expansion of n in k 1546420525.726 * [misc]backup-simplify: Simplify n into n 1546420525.726 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420525.726 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420525.726 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.726 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.726 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.726 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420525.727 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420525.727 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.727 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.727 * [misc]taylor: Taking taylor expansion of k in n 1546420525.727 * [misc]backup-simplify: Simplify k into k 1546420525.727 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420525.727 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.727 * [misc]backup-simplify: Simplify 2 into 2 1546420525.727 * [misc]taylor: Taking taylor expansion of n in n 1546420525.727 * [misc]backup-simplify: Simplify 0 into 0 1546420525.727 * [misc]backup-simplify: Simplify 1 into 1 1546420525.727 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420525.727 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420525.727 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.727 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420525.727 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420525.727 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420525.728 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.728 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420525.728 * [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)))) 1546420525.728 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.728 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.728 * [misc]taylor: Taking taylor expansion of k in n 1546420525.728 * [misc]backup-simplify: Simplify k into k 1546420525.728 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420525.728 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.728 * [misc]backup-simplify: Simplify 2 into 2 1546420525.728 * [misc]taylor: Taking taylor expansion of n in n 1546420525.728 * [misc]backup-simplify: Simplify 0 into 0 1546420525.728 * [misc]backup-simplify: Simplify 1 into 1 1546420525.728 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420525.728 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420525.729 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.729 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420525.729 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420525.729 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420525.729 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.729 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420525.729 * [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)))) 1546420525.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546420525.729 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546420525.729 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546420525.729 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546420525.729 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.729 * [misc]backup-simplify: Simplify 2 into 2 1546420525.730 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.730 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420525.730 * [misc]taylor: Taking taylor expansion of n in k 1546420525.730 * [misc]backup-simplify: Simplify n into n 1546420525.730 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420525.730 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.730 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.730 * [misc]taylor: Taking taylor expansion of k in k 1546420525.730 * [misc]backup-simplify: Simplify 0 into 0 1546420525.730 * [misc]backup-simplify: Simplify 1 into 1 1546420525.730 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546420525.730 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.730 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.730 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.730 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546420525.731 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546420525.731 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546420525.731 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.732 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420525.732 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546420525.733 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.733 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.733 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.733 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546420525.734 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420525.734 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.734 * [misc]backup-simplify: Simplify 0 into 0 1546420525.734 * [misc]backup-simplify: Simplify 0 into 0 1546420525.734 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420525.734 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.734 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420525.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546420525.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.737 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546420525.737 * [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))))) 1546420525.737 * [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))))) 1546420525.738 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420525.740 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546420525.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546420525.741 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.741 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546420525.742 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546420525.742 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.742 * [misc]backup-simplify: Simplify 0 into 0 1546420525.742 * [misc]backup-simplify: Simplify 0 into 0 1546420525.742 * [misc]backup-simplify: Simplify 0 into 0 1546420525.743 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.743 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.743 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.746 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546420525.747 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546420525.747 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.747 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546420525.748 * [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))))) 1546420525.749 * [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))))) 1546420525.751 * [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))))) 1546420525.751 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.751 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546420525.751 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.751 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of k in k 1546420525.751 * [misc]backup-simplify: Simplify 0 into 0 1546420525.751 * [misc]backup-simplify: Simplify 1 into 1 1546420525.751 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.751 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420525.751 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.751 * [misc]backup-simplify: Simplify 2 into 2 1546420525.751 * [misc]taylor: Taking taylor expansion of n in k 1546420525.751 * [misc]backup-simplify: Simplify n into n 1546420525.751 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420525.751 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420525.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.751 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.752 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.752 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420525.752 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.752 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of k in n 1546420525.752 * [misc]backup-simplify: Simplify k into k 1546420525.752 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.752 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420525.752 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.752 * [misc]backup-simplify: Simplify 2 into 2 1546420525.752 * [misc]taylor: Taking taylor expansion of n in n 1546420525.752 * [misc]backup-simplify: Simplify 0 into 0 1546420525.752 * [misc]backup-simplify: Simplify 1 into 1 1546420525.752 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420525.752 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.752 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.752 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420525.752 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420525.753 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.753 * [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))) 1546420525.753 * [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)))) 1546420525.753 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of k in n 1546420525.753 * [misc]backup-simplify: Simplify k into k 1546420525.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.753 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420525.753 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.753 * [misc]backup-simplify: Simplify 2 into 2 1546420525.753 * [misc]taylor: Taking taylor expansion of n in n 1546420525.753 * [misc]backup-simplify: Simplify 0 into 0 1546420525.753 * [misc]backup-simplify: Simplify 1 into 1 1546420525.754 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420525.754 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.754 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.754 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420525.754 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420525.754 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.754 * [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))) 1546420525.754 * [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)))) 1546420525.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of k in k 1546420525.755 * [misc]backup-simplify: Simplify 0 into 0 1546420525.755 * [misc]backup-simplify: Simplify 1 into 1 1546420525.755 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.755 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.755 * [misc]backup-simplify: Simplify 2 into 2 1546420525.755 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.755 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420525.755 * [misc]taylor: Taking taylor expansion of n in k 1546420525.755 * [misc]backup-simplify: Simplify n into n 1546420525.755 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420525.755 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.755 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.755 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.755 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420525.756 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546420525.756 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546420525.756 * [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)))) 1546420525.756 * [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)))) 1546420525.756 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546420525.758 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420525.758 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420525.758 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420525.758 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.758 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.759 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546420525.759 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420525.759 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.759 * [misc]backup-simplify: Simplify 0 into 0 1546420525.760 * [misc]backup-simplify: Simplify 0 into 0 1546420525.760 * [misc]backup-simplify: Simplify 0 into 0 1546420525.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420525.762 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546420525.762 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420525.763 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420525.763 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.763 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.763 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546420525.765 * [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 1546420525.765 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.765 * [misc]backup-simplify: Simplify 0 into 0 1546420525.765 * [misc]backup-simplify: Simplify 0 into 0 1546420525.765 * [misc]backup-simplify: Simplify 0 into 0 1546420525.765 * [misc]backup-simplify: Simplify 0 into 0 1546420525.765 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420525.769 * [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 1546420525.769 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420525.769 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420525.770 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.770 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546420525.772 * [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 1546420525.772 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.772 * [misc]backup-simplify: Simplify 0 into 0 1546420525.772 * [misc]backup-simplify: Simplify 0 into 0 1546420525.773 * [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)))) 1546420525.773 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.773 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546420525.773 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.773 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of k in k 1546420525.773 * [misc]backup-simplify: Simplify 0 into 0 1546420525.773 * [misc]backup-simplify: Simplify 1 into 1 1546420525.773 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.773 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.773 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.773 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420525.773 * [misc]taylor: Taking taylor expansion of -2 in k 1546420525.773 * [misc]backup-simplify: Simplify -2 into -2 1546420525.773 * [misc]taylor: Taking taylor expansion of n in k 1546420525.773 * [misc]backup-simplify: Simplify n into n 1546420525.773 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420525.773 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420525.773 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.773 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.773 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420525.774 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.774 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of k in n 1546420525.774 * [misc]backup-simplify: Simplify k into k 1546420525.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.774 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420525.774 * [misc]taylor: Taking taylor expansion of -2 in n 1546420525.774 * [misc]backup-simplify: Simplify -2 into -2 1546420525.774 * [misc]taylor: Taking taylor expansion of n in n 1546420525.774 * [misc]backup-simplify: Simplify 0 into 0 1546420525.774 * [misc]backup-simplify: Simplify 1 into 1 1546420525.774 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420525.774 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.774 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.774 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420525.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.775 * [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))) 1546420525.775 * [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)))) 1546420525.775 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of k in n 1546420525.775 * [misc]backup-simplify: Simplify k into k 1546420525.775 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.775 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420525.775 * [misc]taylor: Taking taylor expansion of -2 in n 1546420525.775 * [misc]backup-simplify: Simplify -2 into -2 1546420525.775 * [misc]taylor: Taking taylor expansion of n in n 1546420525.775 * [misc]backup-simplify: Simplify 0 into 0 1546420525.775 * [misc]backup-simplify: Simplify 1 into 1 1546420525.775 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420525.775 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.776 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.776 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420525.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.776 * [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))) 1546420525.776 * [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)))) 1546420525.776 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546420525.776 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546420525.776 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420525.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.776 * [misc]taylor: Taking taylor expansion of k in k 1546420525.776 * [misc]backup-simplify: Simplify 0 into 0 1546420525.776 * [misc]backup-simplify: Simplify 1 into 1 1546420525.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.777 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546420525.777 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546420525.777 * [misc]taylor: Taking taylor expansion of -2 in k 1546420525.777 * [misc]backup-simplify: Simplify -2 into -2 1546420525.777 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.777 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420525.777 * [misc]taylor: Taking taylor expansion of n in k 1546420525.777 * [misc]backup-simplify: Simplify n into n 1546420525.777 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420525.777 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.777 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.777 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420525.777 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546420525.777 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546420525.778 * [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)))) 1546420525.778 * [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)))) 1546420525.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546420525.780 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546420525.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420525.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420525.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.781 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546420525.782 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420525.782 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.782 * [misc]backup-simplify: Simplify 0 into 0 1546420525.782 * [misc]backup-simplify: Simplify 0 into 0 1546420525.782 * [misc]backup-simplify: Simplify 0 into 0 1546420525.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420525.787 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546420525.787 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420525.788 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420525.788 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.788 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.789 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546420525.791 * [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 1546420525.791 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.791 * [misc]backup-simplify: Simplify 0 into 0 1546420525.791 * [misc]backup-simplify: Simplify 0 into 0 1546420525.791 * [misc]backup-simplify: Simplify 0 into 0 1546420525.791 * [misc]backup-simplify: Simplify 0 into 0 1546420525.792 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420525.802 * [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 1546420525.803 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420525.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420525.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.804 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.804 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546420525.808 * [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 1546420525.808 * [misc]taylor: Taking taylor expansion of 0 in k 1546420525.808 * [misc]backup-simplify: Simplify 0 into 0 1546420525.808 * [misc]backup-simplify: Simplify 0 into 0 1546420525.808 * [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))))) 1546420525.808 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1546420525.809 * [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)) 1546420525.809 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546420525.809 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.809 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.809 * [misc]taylor: Taking taylor expansion of k in n 1546420525.809 * [misc]backup-simplify: Simplify k into k 1546420525.809 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420525.809 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.809 * [misc]backup-simplify: Simplify 2 into 2 1546420525.809 * [misc]taylor: Taking taylor expansion of n in n 1546420525.809 * [misc]backup-simplify: Simplify 0 into 0 1546420525.809 * [misc]backup-simplify: Simplify 1 into 1 1546420525.810 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420525.810 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420525.810 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.810 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420525.810 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420525.810 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420525.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.811 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420525.811 * [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)))) 1546420525.812 * [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))))) 1546420525.812 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420525.812 * [misc]taylor: Taking taylor expansion of k in n 1546420525.812 * [misc]backup-simplify: Simplify k into k 1546420525.812 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420525.812 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420525.812 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.812 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.812 * [misc]taylor: Taking taylor expansion of k in k 1546420525.812 * [misc]backup-simplify: Simplify 0 into 0 1546420525.812 * [misc]backup-simplify: Simplify 1 into 1 1546420525.812 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420525.812 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.812 * [misc]backup-simplify: Simplify 2 into 2 1546420525.812 * [misc]taylor: Taking taylor expansion of n in k 1546420525.812 * [misc]backup-simplify: Simplify n into n 1546420525.812 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420525.813 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420525.813 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.813 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.813 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.813 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420525.813 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420525.813 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546420525.813 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420525.813 * [misc]taylor: Taking taylor expansion of k in k 1546420525.813 * [misc]backup-simplify: Simplify 0 into 0 1546420525.814 * [misc]backup-simplify: Simplify 1 into 1 1546420525.814 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.814 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.814 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546420525.814 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546420525.814 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420525.814 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420525.814 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420525.815 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.815 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.815 * [misc]taylor: Taking taylor expansion of k in k 1546420525.815 * [misc]backup-simplify: Simplify 0 into 0 1546420525.815 * [misc]backup-simplify: Simplify 1 into 1 1546420525.815 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420525.815 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420525.815 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.815 * [misc]backup-simplify: Simplify 2 into 2 1546420525.815 * [misc]taylor: Taking taylor expansion of n in k 1546420525.815 * [misc]backup-simplify: Simplify n into n 1546420525.815 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420525.815 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420525.815 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.815 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.816 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.816 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420525.816 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420525.816 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546420525.816 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420525.816 * [misc]taylor: Taking taylor expansion of k in k 1546420525.816 * [misc]backup-simplify: Simplify 0 into 0 1546420525.816 * [misc]backup-simplify: Simplify 1 into 1 1546420525.816 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.817 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.817 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1546420525.817 * [misc]taylor: Taking taylor expansion of 0 in n 1546420525.817 * [misc]backup-simplify: Simplify 0 into 0 1546420525.817 * [misc]backup-simplify: Simplify 0 into 0 1546420525.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546420525.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546420525.818 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420525.819 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.819 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.819 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546420525.819 * [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)))) 1546420525.820 * [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)))) 1546420525.821 * [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)))) 1546420525.821 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546420525.821 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546420525.821 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.821 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.821 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546420525.821 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546420525.821 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546420525.821 * [misc]taylor: Taking taylor expansion of n in n 1546420525.821 * [misc]backup-simplify: Simplify 0 into 0 1546420525.821 * [misc]backup-simplify: Simplify 1 into 1 1546420525.822 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.822 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.822 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.822 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420525.822 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.822 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.823 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420525.823 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420525.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.824 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546420525.825 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546420525.826 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.826 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.826 * [misc]backup-simplify: Simplify 0 into 0 1546420525.827 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420525.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546420525.829 * [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 1546420525.830 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.830 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.830 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546420525.832 * [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))) 1546420525.834 * [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))))) 1546420525.837 * [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)))))) 1546420525.837 * [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 1546420525.837 * [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 1546420525.837 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1546420525.837 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.837 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.837 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1546420525.838 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1546420525.838 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420525.838 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.838 * [misc]backup-simplify: Simplify 2 into 2 1546420525.838 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420525.838 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420525.838 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1546420525.838 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420525.838 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420525.838 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.838 * [misc]backup-simplify: Simplify 2 into 2 1546420525.838 * [misc]taylor: Taking taylor expansion of n in n 1546420525.838 * [misc]backup-simplify: Simplify 0 into 0 1546420525.838 * [misc]backup-simplify: Simplify 1 into 1 1546420525.838 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420525.839 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420525.839 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.839 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546420525.839 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420525.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.839 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420525.839 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420525.839 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546420525.839 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546420525.840 * [misc]taylor: Taking taylor expansion of n in n 1546420525.840 * [misc]backup-simplify: Simplify 0 into 0 1546420525.840 * [misc]backup-simplify: Simplify 1 into 1 1546420525.840 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.840 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.840 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.840 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546420525.840 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546420525.840 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.841 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.841 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546420525.841 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546420525.841 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546420525.841 * [misc]taylor: Taking taylor expansion of n in n 1546420525.841 * [misc]backup-simplify: Simplify 0 into 0 1546420525.841 * [misc]backup-simplify: Simplify 1 into 1 1546420525.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.841 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.841 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.842 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420525.842 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.842 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420525.842 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420525.842 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.843 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546420525.844 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1546420525.844 * [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))) 1546420525.845 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.845 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546420525.845 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.848 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420525.849 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546420525.850 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1546420525.851 * [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))))))) 1546420525.852 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1546420525.855 * [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))))))) 1546420525.856 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.856 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546420525.857 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546420525.858 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.861 * [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))))))))) 1546420525.864 * [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))))))) 1546420525.867 * [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))))))) 1546420525.869 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546420525.869 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420525.870 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420525.871 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.872 * [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))) 1546420525.873 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.873 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420525.876 * [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)))))))))))) 1546420525.876 * [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))) 1546420525.876 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546420525.876 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of k in n 1546420525.876 * [misc]backup-simplify: Simplify k into k 1546420525.876 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.876 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420525.876 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.877 * [misc]backup-simplify: Simplify 2 into 2 1546420525.877 * [misc]taylor: Taking taylor expansion of n in n 1546420525.877 * [misc]backup-simplify: Simplify 0 into 0 1546420525.877 * [misc]backup-simplify: Simplify 1 into 1 1546420525.877 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420525.877 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.877 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.877 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420525.877 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420525.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.877 * [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))) 1546420525.878 * [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)))) 1546420525.878 * [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))))) 1546420525.878 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420525.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.878 * [misc]taylor: Taking taylor expansion of k in n 1546420525.878 * [misc]backup-simplify: Simplify k into k 1546420525.878 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.878 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420525.878 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420525.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420525.878 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of k in k 1546420525.878 * [misc]backup-simplify: Simplify 0 into 0 1546420525.878 * [misc]backup-simplify: Simplify 1 into 1 1546420525.878 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.878 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420525.878 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.878 * [misc]backup-simplify: Simplify 2 into 2 1546420525.879 * [misc]taylor: Taking taylor expansion of n in k 1546420525.879 * [misc]backup-simplify: Simplify n into n 1546420525.879 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420525.879 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420525.879 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.879 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.879 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.879 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420525.879 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.879 * [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))))) 1546420525.879 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420525.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.879 * [misc]taylor: Taking taylor expansion of k in k 1546420525.879 * [misc]backup-simplify: Simplify 0 into 0 1546420525.879 * [misc]backup-simplify: Simplify 1 into 1 1546420525.879 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.879 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.880 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.880 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.880 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.880 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of k in k 1546420525.880 * [misc]backup-simplify: Simplify 0 into 0 1546420525.880 * [misc]backup-simplify: Simplify 1 into 1 1546420525.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.880 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420525.880 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.880 * [misc]backup-simplify: Simplify 2 into 2 1546420525.880 * [misc]taylor: Taking taylor expansion of n in k 1546420525.880 * [misc]backup-simplify: Simplify n into n 1546420525.880 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420525.880 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420525.881 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.881 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.881 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.881 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420525.881 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420525.881 * [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))))) 1546420525.881 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420525.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.881 * [misc]taylor: Taking taylor expansion of k in k 1546420525.881 * [misc]backup-simplify: Simplify 0 into 0 1546420525.881 * [misc]backup-simplify: Simplify 1 into 1 1546420525.881 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.882 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.882 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546420525.882 * [misc]taylor: Taking taylor expansion of 0 in n 1546420525.882 * [misc]backup-simplify: Simplify 0 into 0 1546420525.882 * [misc]backup-simplify: Simplify 0 into 0 1546420525.882 * [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 1546420525.882 * [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))))))) 1546420525.882 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.882 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.882 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.882 * [misc]taylor: Taking taylor expansion of k in n 1546420525.882 * [misc]backup-simplify: Simplify k into k 1546420525.883 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.883 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420525.883 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420525.883 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.883 * [misc]backup-simplify: Simplify 2 into 2 1546420525.883 * [misc]taylor: Taking taylor expansion of n in n 1546420525.883 * [misc]backup-simplify: Simplify 0 into 0 1546420525.883 * [misc]backup-simplify: Simplify 1 into 1 1546420525.883 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420525.883 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.883 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.883 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420525.883 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420525.883 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.883 * [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))) 1546420525.884 * [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)))) 1546420525.884 * [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))))) 1546420525.884 * [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))))) 1546420525.884 * [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))))))) 1546420525.885 * [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))))))) 1546420525.885 * [misc]backup-simplify: Simplify 0 into 0 1546420525.885 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420525.885 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420525.886 * [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 1546420525.886 * [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))))))) 1546420525.886 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.886 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.886 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.886 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.886 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of k in n 1546420525.886 * [misc]backup-simplify: Simplify k into k 1546420525.886 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.886 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420525.886 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.886 * [misc]backup-simplify: Simplify 2 into 2 1546420525.886 * [misc]taylor: Taking taylor expansion of n in n 1546420525.886 * [misc]backup-simplify: Simplify 0 into 0 1546420525.886 * [misc]backup-simplify: Simplify 1 into 1 1546420525.886 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420525.887 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.887 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.887 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420525.887 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420525.887 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.887 * [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))) 1546420525.887 * [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)))) 1546420525.888 * [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))))) 1546420525.888 * [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))))) 1546420525.888 * [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))))))) 1546420525.889 * [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))))))) 1546420525.889 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546420525.892 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420525.892 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420525.892 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420525.892 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.892 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.893 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.893 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546420525.894 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420525.895 * [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 1546420525.895 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546420525.896 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.896 * [misc]backup-simplify: Simplify 0 into 0 1546420525.896 * [misc]backup-simplify: Simplify 0 into 0 1546420525.896 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420525.897 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420525.898 * [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 1546420525.898 * [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))))))) 1546420525.899 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.899 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.899 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of k in n 1546420525.899 * [misc]backup-simplify: Simplify k into k 1546420525.899 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.899 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420525.899 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.899 * [misc]backup-simplify: Simplify 2 into 2 1546420525.899 * [misc]taylor: Taking taylor expansion of n in n 1546420525.899 * [misc]backup-simplify: Simplify 0 into 0 1546420525.899 * [misc]backup-simplify: Simplify 1 into 1 1546420525.899 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420525.900 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.900 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.900 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420525.900 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420525.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420525.901 * [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))) 1546420525.901 * [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)))) 1546420525.901 * [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))))) 1546420525.902 * [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))))) 1546420525.902 * [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))))))) 1546420525.902 * [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))))))) 1546420525.904 * [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))))))))))) 1546420525.904 * [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))) 1546420525.904 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546420525.904 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420525.904 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of -1 in n 1546420525.905 * [misc]backup-simplify: Simplify -1 into -1 1546420525.905 * [misc]taylor: Taking taylor expansion of k in n 1546420525.905 * [misc]backup-simplify: Simplify k into k 1546420525.905 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420525.905 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420525.905 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420525.905 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420525.905 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of k in n 1546420525.905 * [misc]backup-simplify: Simplify k into k 1546420525.905 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.905 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420525.905 * [misc]taylor: Taking taylor expansion of -2 in n 1546420525.905 * [misc]backup-simplify: Simplify -2 into -2 1546420525.905 * [misc]taylor: Taking taylor expansion of n in n 1546420525.906 * [misc]backup-simplify: Simplify 0 into 0 1546420525.906 * [misc]backup-simplify: Simplify 1 into 1 1546420525.906 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420525.906 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.906 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.906 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420525.906 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.907 * [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))) 1546420525.907 * [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)))) 1546420525.907 * [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))))) 1546420525.908 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546420525.908 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420525.908 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420525.908 * [misc]taylor: Taking taylor expansion of -1 in k 1546420525.908 * [misc]backup-simplify: Simplify -1 into -1 1546420525.908 * [misc]taylor: Taking taylor expansion of k in k 1546420525.908 * [misc]backup-simplify: Simplify 0 into 0 1546420525.908 * [misc]backup-simplify: Simplify 1 into 1 1546420525.908 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420525.908 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.909 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420525.909 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.909 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of k in k 1546420525.909 * [misc]backup-simplify: Simplify 0 into 0 1546420525.909 * [misc]backup-simplify: Simplify 1 into 1 1546420525.909 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.909 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420525.909 * [misc]taylor: Taking taylor expansion of -2 in k 1546420525.909 * [misc]backup-simplify: Simplify -2 into -2 1546420525.909 * [misc]taylor: Taking taylor expansion of n in k 1546420525.909 * [misc]backup-simplify: Simplify n into n 1546420525.909 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420525.910 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420525.910 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.910 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.910 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420525.910 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.910 * [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))) 1546420525.910 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546420525.910 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420525.910 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420525.910 * [misc]taylor: Taking taylor expansion of -1 in k 1546420525.910 * [misc]backup-simplify: Simplify -1 into -1 1546420525.910 * [misc]taylor: Taking taylor expansion of k in k 1546420525.911 * [misc]backup-simplify: Simplify 0 into 0 1546420525.911 * [misc]backup-simplify: Simplify 1 into 1 1546420525.911 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420525.911 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.911 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420525.911 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420525.911 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420525.911 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420525.911 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420525.912 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420525.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.912 * [misc]taylor: Taking taylor expansion of k in k 1546420525.912 * [misc]backup-simplify: Simplify 0 into 0 1546420525.912 * [misc]backup-simplify: Simplify 1 into 1 1546420525.912 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.912 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420525.912 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420525.912 * [misc]taylor: Taking taylor expansion of -2 in k 1546420525.912 * [misc]backup-simplify: Simplify -2 into -2 1546420525.912 * [misc]taylor: Taking taylor expansion of n in k 1546420525.912 * [misc]backup-simplify: Simplify n into n 1546420525.912 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420525.912 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420525.912 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420525.913 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.913 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420525.913 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420525.913 * [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))) 1546420525.913 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.913 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.913 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.913 * [misc]taylor: Taking taylor expansion of k in n 1546420525.913 * [misc]backup-simplify: Simplify k into k 1546420525.914 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.914 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420525.914 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420525.914 * [misc]taylor: Taking taylor expansion of -2 in n 1546420525.914 * [misc]backup-simplify: Simplify -2 into -2 1546420525.914 * [misc]taylor: Taking taylor expansion of n in n 1546420525.914 * [misc]backup-simplify: Simplify 0 into 0 1546420525.914 * [misc]backup-simplify: Simplify 1 into 1 1546420525.914 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420525.914 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.914 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.914 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420525.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.915 * [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))) 1546420525.915 * [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)))) 1546420525.916 * [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))))) 1546420525.916 * [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))))) 1546420525.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420525.918 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420525.918 * [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))))) 1546420525.918 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.918 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.918 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420525.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.919 * [misc]taylor: Taking taylor expansion of k in n 1546420525.919 * [misc]backup-simplify: Simplify k into k 1546420525.919 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.919 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420525.919 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420525.919 * [misc]taylor: Taking taylor expansion of -2 in n 1546420525.919 * [misc]backup-simplify: Simplify -2 into -2 1546420525.919 * [misc]taylor: Taking taylor expansion of n in n 1546420525.919 * [misc]backup-simplify: Simplify 0 into 0 1546420525.919 * [misc]backup-simplify: Simplify 1 into 1 1546420525.919 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420525.919 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.919 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.919 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420525.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.920 * [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))) 1546420525.920 * [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)))) 1546420525.921 * [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))))) 1546420525.921 * [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))))) 1546420525.922 * [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))))))) 1546420525.922 * [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))))))) 1546420525.922 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546420525.925 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546420525.925 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420525.925 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420525.925 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.926 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546420525.927 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420525.928 * [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 1546420525.928 * [misc]backup-simplify: Simplify 0 into 0 1546420525.929 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420525.930 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420525.931 * [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))))) 1546420525.931 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.931 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.931 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of k in n 1546420525.931 * [misc]backup-simplify: Simplify k into k 1546420525.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.931 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420525.931 * [misc]taylor: Taking taylor expansion of -2 in n 1546420525.931 * [misc]backup-simplify: Simplify -2 into -2 1546420525.931 * [misc]taylor: Taking taylor expansion of n in n 1546420525.931 * [misc]backup-simplify: Simplify 0 into 0 1546420525.931 * [misc]backup-simplify: Simplify 1 into 1 1546420525.932 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420525.932 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420525.932 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420525.932 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420525.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420525.933 * [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))) 1546420525.933 * [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)))) 1546420525.933 * [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))))) 1546420525.934 * [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))))) 1546420525.934 * [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))))))) 1546420525.934 * [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))))))) 1546420525.936 * [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))))))))) 1546420525.936 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1546420525.936 * [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))) 1546420525.937 * [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 1546420525.937 * [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 1546420525.937 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.937 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.937 * [misc]taylor: Taking taylor expansion of k in n 1546420525.937 * [misc]backup-simplify: Simplify k into k 1546420525.937 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420525.937 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.937 * [misc]backup-simplify: Simplify 2 into 2 1546420525.937 * [misc]taylor: Taking taylor expansion of n in n 1546420525.937 * [misc]backup-simplify: Simplify 0 into 0 1546420525.937 * [misc]backup-simplify: Simplify 1 into 1 1546420525.937 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420525.938 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420525.938 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.938 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420525.938 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420525.938 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420525.938 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420525.939 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420525.939 * [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)))) 1546420525.939 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1546420525.939 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1546420525.939 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1546420525.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420525.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.939 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420525.939 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420525.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.939 * [misc]taylor: Taking taylor expansion of k in n 1546420525.939 * [misc]backup-simplify: Simplify k into k 1546420525.939 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420525.939 * [misc]taylor: Taking taylor expansion of PI in n 1546420525.939 * [misc]backup-simplify: Simplify PI into PI 1546420525.940 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.940 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420525.940 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420525.940 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420525.940 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1546420525.941 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1546420525.941 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420525.941 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420525.941 * [misc]taylor: Taking taylor expansion of k in n 1546420525.941 * [misc]backup-simplify: Simplify k into k 1546420525.941 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420525.941 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420525.941 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420525.941 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420525.941 * [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 1546420525.941 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546420525.941 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420525.941 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420525.941 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420525.941 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.941 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.941 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.941 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.941 * [misc]taylor: Taking taylor expansion of k in k 1546420525.942 * [misc]backup-simplify: Simplify 0 into 0 1546420525.942 * [misc]backup-simplify: Simplify 1 into 1 1546420525.942 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420525.942 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420525.942 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.942 * [misc]backup-simplify: Simplify 2 into 2 1546420525.942 * [misc]taylor: Taking taylor expansion of n in k 1546420525.942 * [misc]backup-simplify: Simplify n into n 1546420525.942 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420525.942 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420525.942 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.942 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.942 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.942 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420525.943 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420525.943 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546420525.943 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546420525.943 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546420525.943 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.943 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.943 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.943 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.943 * [misc]taylor: Taking taylor expansion of k in k 1546420525.943 * [misc]backup-simplify: Simplify 0 into 0 1546420525.943 * [misc]backup-simplify: Simplify 1 into 1 1546420525.943 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.943 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.943 * [misc]backup-simplify: Simplify PI into PI 1546420525.943 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.943 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.944 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.944 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.944 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420525.946 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546420525.946 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420525.946 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.946 * [misc]taylor: Taking taylor expansion of k in k 1546420525.946 * [misc]backup-simplify: Simplify 0 into 0 1546420525.946 * [misc]backup-simplify: Simplify 1 into 1 1546420525.946 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.946 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.947 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.947 * [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 1546420525.947 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.947 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.947 * [misc]taylor: Taking taylor expansion of k in k 1546420525.947 * [misc]backup-simplify: Simplify 0 into 0 1546420525.947 * [misc]backup-simplify: Simplify 1 into 1 1546420525.947 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420525.947 * [misc]taylor: Taking taylor expansion of 2 in k 1546420525.947 * [misc]backup-simplify: Simplify 2 into 2 1546420525.947 * [misc]taylor: Taking taylor expansion of n in k 1546420525.947 * [misc]backup-simplify: Simplify n into n 1546420525.947 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420525.947 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420525.948 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.948 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.948 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.948 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420525.949 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420525.949 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546420525.949 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546420525.949 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546420525.949 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420525.949 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.949 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420525.949 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420525.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420525.949 * [misc]taylor: Taking taylor expansion of k in k 1546420525.949 * [misc]backup-simplify: Simplify 0 into 0 1546420525.949 * [misc]backup-simplify: Simplify 1 into 1 1546420525.949 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420525.949 * [misc]taylor: Taking taylor expansion of PI in k 1546420525.949 * [misc]backup-simplify: Simplify PI into PI 1546420525.949 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.950 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420525.950 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.950 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420525.950 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420525.951 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546420525.951 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420525.951 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420525.951 * [misc]taylor: Taking taylor expansion of k in k 1546420525.951 * [misc]backup-simplify: Simplify 0 into 0 1546420525.951 * [misc]backup-simplify: Simplify 1 into 1 1546420525.951 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420525.952 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.952 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420525.953 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1546420525.953 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1546420525.953 * [misc]taylor: Taking taylor expansion of 0 in n 1546420525.953 * [misc]backup-simplify: Simplify 0 into 0 1546420525.953 * [misc]backup-simplify: Simplify 0 into 0 1546420525.955 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546420525.955 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420525.956 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.956 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546420525.960 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546420525.960 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546420525.961 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546420525.961 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420525.961 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420525.962 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420525.962 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546420525.962 * [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)))) 1546420525.964 * [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)))))) 1546420525.965 * [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))))) 1546420525.965 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1546420525.965 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546420525.965 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.965 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.965 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546420525.965 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420525.965 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.965 * [misc]backup-simplify: Simplify 2 into 2 1546420525.966 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420525.966 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420525.966 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420525.966 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420525.966 * [misc]taylor: Taking taylor expansion of n in n 1546420525.966 * [misc]backup-simplify: Simplify 0 into 0 1546420525.966 * [misc]backup-simplify: Simplify 1 into 1 1546420525.966 * [misc]taylor: Taking taylor expansion of PI in n 1546420525.966 * [misc]backup-simplify: Simplify PI into PI 1546420525.966 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420525.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420525.967 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.967 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420525.968 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420525.968 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420525.968 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.968 * [misc]backup-simplify: Simplify 0 into 0 1546420525.968 * [misc]backup-simplify: Simplify 0 into 0 1546420525.968 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420525.969 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420525.973 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546420525.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.974 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.975 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546420525.979 * [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))) 1546420525.979 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546420525.981 * [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 1546420525.981 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420525.981 * [misc]backup-simplify: Simplify (- 0) into 0 1546420525.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420525.982 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546420525.983 * [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))) 1546420525.986 * [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))))))) 1546420525.990 * [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))))))))) 1546420525.990 * [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 1546420525.990 * [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 1546420525.990 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546420525.990 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.990 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546420525.990 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546420525.990 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420525.990 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.990 * [misc]backup-simplify: Simplify 2 into 2 1546420525.990 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420525.990 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420525.990 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420525.990 * [misc]taylor: Taking taylor expansion of PI in n 1546420525.990 * [misc]backup-simplify: Simplify PI into PI 1546420525.991 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420525.991 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546420525.991 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546420525.991 * [misc]taylor: Taking taylor expansion of PI in n 1546420525.991 * [misc]backup-simplify: Simplify PI into PI 1546420525.991 * [misc]taylor: Taking taylor expansion of n in n 1546420525.991 * [misc]backup-simplify: Simplify 0 into 0 1546420525.991 * [misc]backup-simplify: Simplify 1 into 1 1546420525.991 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546420525.992 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546420525.992 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.992 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420525.992 * [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 1546420525.992 * [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 1546420525.992 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546420525.992 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.992 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.992 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546420525.992 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420525.992 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.992 * [misc]backup-simplify: Simplify 2 into 2 1546420525.993 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420525.993 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420525.993 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420525.993 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420525.993 * [misc]taylor: Taking taylor expansion of n in n 1546420525.993 * [misc]backup-simplify: Simplify 0 into 0 1546420525.993 * [misc]backup-simplify: Simplify 1 into 1 1546420525.993 * [misc]taylor: Taking taylor expansion of PI in n 1546420525.993 * [misc]backup-simplify: Simplify PI into PI 1546420525.993 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420525.994 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420525.994 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.994 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420525.994 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546420525.994 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546420525.994 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420525.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420525.994 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546420525.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546420525.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420525.994 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.994 * [misc]backup-simplify: Simplify 2 into 2 1546420525.995 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420525.995 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420525.995 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420525.995 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420525.995 * [misc]taylor: Taking taylor expansion of 2 in n 1546420525.995 * [misc]backup-simplify: Simplify 2 into 2 1546420525.995 * [misc]taylor: Taking taylor expansion of n in n 1546420525.995 * [misc]backup-simplify: Simplify 0 into 0 1546420525.995 * [misc]backup-simplify: Simplify 1 into 1 1546420525.995 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420525.995 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420525.996 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420525.996 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546420525.996 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546420525.996 * [misc]taylor: Taking taylor expansion of PI in n 1546420525.996 * [misc]backup-simplify: Simplify PI into PI 1546420525.996 * [misc]taylor: Taking taylor expansion of n in n 1546420525.996 * [misc]backup-simplify: Simplify 0 into 0 1546420525.996 * [misc]backup-simplify: Simplify 1 into 1 1546420525.996 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546420525.996 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546420525.997 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420525.997 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420525.998 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546420525.998 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546420525.999 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420525.999 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420525.999 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.000 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.000 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546420526.000 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546420526.000 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.001 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.001 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.001 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.001 * [misc]backup-simplify: Simplify 0 into 0 1546420526.002 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420526.005 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420526.006 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420526.007 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420526.007 * [misc]backup-simplify: Simplify 0 into 0 1546420526.007 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420526.009 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420526.015 * [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 1546420526.016 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420526.016 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.016 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1546420526.024 * [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))) 1546420526.024 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546420526.026 * [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 1546420526.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420526.026 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.026 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546420526.027 * [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))) 1546420526.031 * [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))))))))) 1546420526.036 * [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))))))))))))))) 1546420526.036 * [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 1546420526.036 * [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 1546420526.036 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1546420526.036 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.036 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.036 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1546420526.036 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1546420526.036 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420526.036 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.036 * [misc]backup-simplify: Simplify 2 into 2 1546420526.037 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420526.037 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420526.037 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.037 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.037 * [misc]backup-simplify: Simplify PI into PI 1546420526.037 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.037 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546420526.037 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546420526.037 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.037 * [misc]backup-simplify: Simplify PI into PI 1546420526.037 * [misc]taylor: Taking taylor expansion of n in n 1546420526.037 * [misc]backup-simplify: Simplify 0 into 0 1546420526.037 * [misc]backup-simplify: Simplify 1 into 1 1546420526.037 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546420526.038 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546420526.038 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.038 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420526.038 * [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 1546420526.038 * [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 1546420526.038 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1546420526.038 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.038 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.038 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1546420526.038 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1546420526.038 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420526.038 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.038 * [misc]backup-simplify: Simplify 2 into 2 1546420526.039 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420526.039 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420526.039 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1546420526.039 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.039 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.039 * [misc]backup-simplify: Simplify PI into PI 1546420526.039 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.039 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546420526.039 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546420526.039 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.039 * [misc]backup-simplify: Simplify PI into PI 1546420526.039 * [misc]taylor: Taking taylor expansion of n in n 1546420526.039 * [misc]backup-simplify: Simplify 0 into 0 1546420526.039 * [misc]backup-simplify: Simplify 1 into 1 1546420526.039 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546420526.040 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546420526.040 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.040 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420526.040 * [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 1546420526.040 * [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 1546420526.040 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.040 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.040 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.040 * [misc]backup-simplify: Simplify 2 into 2 1546420526.040 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420526.040 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420526.040 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420526.040 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.041 * [misc]backup-simplify: Simplify 2 into 2 1546420526.041 * [misc]taylor: Taking taylor expansion of n in n 1546420526.041 * [misc]backup-simplify: Simplify 0 into 0 1546420526.041 * [misc]backup-simplify: Simplify 1 into 1 1546420526.041 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420526.041 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420526.041 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.041 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.041 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546420526.041 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546420526.041 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.041 * [misc]backup-simplify: Simplify PI into PI 1546420526.041 * [misc]taylor: Taking taylor expansion of n in n 1546420526.041 * [misc]backup-simplify: Simplify 0 into 0 1546420526.041 * [misc]backup-simplify: Simplify 1 into 1 1546420526.041 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546420526.042 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546420526.042 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.042 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420526.042 * [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 1546420526.042 * [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 1546420526.042 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1546420526.042 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.042 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.042 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1546420526.042 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1546420526.042 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420526.042 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.042 * [misc]backup-simplify: Simplify 2 into 2 1546420526.042 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420526.043 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420526.043 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1546420526.043 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420526.043 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420526.043 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.043 * [misc]backup-simplify: Simplify 2 into 2 1546420526.043 * [misc]taylor: Taking taylor expansion of n in n 1546420526.043 * [misc]backup-simplify: Simplify 0 into 0 1546420526.043 * [misc]backup-simplify: Simplify 1 into 1 1546420526.043 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420526.043 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420526.043 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.043 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.043 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.043 * [misc]backup-simplify: Simplify PI into PI 1546420526.043 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.043 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420526.043 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420526.043 * [misc]taylor: Taking taylor expansion of n in n 1546420526.043 * [misc]backup-simplify: Simplify 0 into 0 1546420526.043 * [misc]backup-simplify: Simplify 1 into 1 1546420526.043 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.043 * [misc]backup-simplify: Simplify PI into PI 1546420526.044 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420526.044 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420526.044 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.044 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420526.044 * [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 1546420526.044 * [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 1546420526.045 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1546420526.045 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.045 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.045 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1546420526.045 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420526.045 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.045 * [misc]backup-simplify: Simplify 2 into 2 1546420526.045 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420526.045 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420526.045 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1546420526.045 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1546420526.045 * [misc]taylor: Taking taylor expansion of n in n 1546420526.045 * [misc]backup-simplify: Simplify 0 into 0 1546420526.045 * [misc]backup-simplify: Simplify 1 into 1 1546420526.045 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.045 * [misc]backup-simplify: Simplify PI into PI 1546420526.045 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1546420526.045 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1546420526.046 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.046 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420526.046 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.046 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.046 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.046 * [misc]backup-simplify: Simplify 2 into 2 1546420526.046 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420526.046 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420526.046 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420526.046 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.046 * [misc]backup-simplify: Simplify 2 into 2 1546420526.046 * [misc]taylor: Taking taylor expansion of n in n 1546420526.046 * [misc]backup-simplify: Simplify 0 into 0 1546420526.046 * [misc]backup-simplify: Simplify 1 into 1 1546420526.046 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420526.047 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420526.047 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.047 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1546420526.047 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1546420526.047 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.047 * [misc]backup-simplify: Simplify PI into PI 1546420526.047 * [misc]taylor: Taking taylor expansion of n in n 1546420526.047 * [misc]backup-simplify: Simplify 0 into 0 1546420526.047 * [misc]backup-simplify: Simplify 1 into 1 1546420526.047 * [misc]backup-simplify: Simplify (* PI 0) into 0 1546420526.047 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1546420526.047 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.048 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1546420526.048 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1546420526.049 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1546420526.049 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.049 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1546420526.050 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1546420526.051 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1546420526.051 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.052 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546420526.052 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546420526.052 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546420526.052 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.052 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.053 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1546420526.053 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1546420526.054 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1546420526.054 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.054 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420526.054 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.054 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.055 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546420526.055 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.056 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.056 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.056 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.056 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.056 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.056 * [misc]backup-simplify: Simplify 0 into 0 1546420526.057 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546420526.058 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1546420526.059 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546420526.060 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1546420526.061 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420526.062 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1546420526.062 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546420526.064 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420526.064 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420526.064 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546420526.065 * [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)))))) 1546420526.066 * [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)))))) 1546420526.067 * [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)))))) 1546420526.069 * [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))))))) 1546420526.072 * [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))))))) 1546420526.075 * [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))))))))) 1546420526.079 * [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))))))))) 1546420526.082 * [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))))))))) 1546420526.083 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1546420526.084 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1546420526.085 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546420526.086 * [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)))) 1546420526.089 * [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)))) 1546420526.090 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546420526.090 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1546420526.096 * [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))))))))))))))) 1546420526.096 * [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)) 1546420526.096 * [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 1546420526.096 * [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 1546420526.096 * [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 1546420526.096 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of k in n 1546420526.097 * [misc]backup-simplify: Simplify k into k 1546420526.097 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.097 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.097 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.097 * [misc]backup-simplify: Simplify PI into PI 1546420526.097 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.097 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.097 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.097 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.097 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546420526.098 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.098 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of k in n 1546420526.098 * [misc]backup-simplify: Simplify k into k 1546420526.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.098 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420526.098 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.098 * [misc]backup-simplify: Simplify 2 into 2 1546420526.098 * [misc]taylor: Taking taylor expansion of n in n 1546420526.098 * [misc]backup-simplify: Simplify 0 into 0 1546420526.098 * [misc]backup-simplify: Simplify 1 into 1 1546420526.098 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420526.098 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.098 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.098 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.099 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420526.099 * [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))) 1546420526.099 * [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)))) 1546420526.099 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420526.099 * [misc]taylor: Taking taylor expansion of k in n 1546420526.099 * [misc]backup-simplify: Simplify k into k 1546420526.099 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420526.099 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420526.099 * [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 1546420526.099 * [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 1546420526.099 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420526.099 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546420526.099 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546420526.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420526.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.099 * [misc]taylor: Taking taylor expansion of k in k 1546420526.099 * [misc]backup-simplify: Simplify 0 into 0 1546420526.099 * [misc]backup-simplify: Simplify 1 into 1 1546420526.099 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.100 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420526.100 * [misc]taylor: Taking taylor expansion of PI in k 1546420526.100 * [misc]backup-simplify: Simplify PI into PI 1546420526.100 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.100 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.100 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420526.100 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420526.100 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546420526.101 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.101 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.101 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.101 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of k in k 1546420526.101 * [misc]backup-simplify: Simplify 0 into 0 1546420526.101 * [misc]backup-simplify: Simplify 1 into 1 1546420526.101 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.101 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420526.101 * [misc]taylor: Taking taylor expansion of 2 in k 1546420526.101 * [misc]backup-simplify: Simplify 2 into 2 1546420526.101 * [misc]taylor: Taking taylor expansion of n in k 1546420526.101 * [misc]backup-simplify: Simplify n into n 1546420526.101 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420526.101 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420526.101 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.101 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420526.101 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420526.101 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420526.102 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.102 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of k in k 1546420526.102 * [misc]backup-simplify: Simplify 0 into 0 1546420526.102 * [misc]backup-simplify: Simplify 1 into 1 1546420526.102 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.102 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420526.102 * [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 1546420526.102 * [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 1546420526.102 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of k in k 1546420526.102 * [misc]backup-simplify: Simplify 0 into 0 1546420526.102 * [misc]backup-simplify: Simplify 1 into 1 1546420526.102 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.102 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420526.102 * [misc]taylor: Taking taylor expansion of PI in k 1546420526.103 * [misc]backup-simplify: Simplify PI into PI 1546420526.103 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.103 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420526.103 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420526.103 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546420526.104 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.104 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of k in k 1546420526.104 * [misc]backup-simplify: Simplify 0 into 0 1546420526.104 * [misc]backup-simplify: Simplify 1 into 1 1546420526.104 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.104 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420526.104 * [misc]taylor: Taking taylor expansion of 2 in k 1546420526.104 * [misc]backup-simplify: Simplify 2 into 2 1546420526.104 * [misc]taylor: Taking taylor expansion of n in k 1546420526.104 * [misc]backup-simplify: Simplify n into n 1546420526.104 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420526.104 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420526.104 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.104 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420526.104 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420526.104 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420526.105 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.105 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420526.105 * [misc]taylor: Taking taylor expansion of k in k 1546420526.105 * [misc]backup-simplify: Simplify 0 into 0 1546420526.105 * [misc]backup-simplify: Simplify 1 into 1 1546420526.105 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.105 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420526.105 * [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))))) 1546420526.105 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546420526.105 * [misc]taylor: Taking taylor expansion of 0 in n 1546420526.105 * [misc]backup-simplify: Simplify 0 into 0 1546420526.105 * [misc]backup-simplify: Simplify 0 into 0 1546420526.106 * [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 1546420526.106 * [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))))))) 1546420526.106 * [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 1546420526.106 * [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 1546420526.106 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.106 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.106 * [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 1546420526.106 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.106 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.106 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of k in n 1546420526.106 * [misc]backup-simplify: Simplify k into k 1546420526.106 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.106 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.106 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.106 * [misc]backup-simplify: Simplify PI into PI 1546420526.106 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.106 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.106 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.107 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.107 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546420526.107 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.107 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.107 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.107 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of k in n 1546420526.107 * [misc]backup-simplify: Simplify k into k 1546420526.107 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.107 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420526.107 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.107 * [misc]backup-simplify: Simplify 2 into 2 1546420526.107 * [misc]taylor: Taking taylor expansion of n in n 1546420526.107 * [misc]backup-simplify: Simplify 0 into 0 1546420526.107 * [misc]backup-simplify: Simplify 1 into 1 1546420526.107 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420526.108 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.108 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.108 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.108 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.108 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420526.108 * [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))) 1546420526.108 * [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)))) 1546420526.109 * [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))))) 1546420526.109 * [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)))))) 1546420526.109 * [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))))))) 1546420526.109 * [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))))))) 1546420526.110 * [misc]backup-simplify: Simplify 0 into 0 1546420526.110 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420526.110 * [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 1546420526.111 * [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))))))) 1546420526.111 * [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 1546420526.111 * [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 1546420526.111 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.111 * [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 1546420526.111 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.111 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546420526.111 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546420526.111 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.111 * [misc]taylor: Taking taylor expansion of k in n 1546420526.111 * [misc]backup-simplify: Simplify k into k 1546420526.111 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.111 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.112 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.112 * [misc]backup-simplify: Simplify PI into PI 1546420526.112 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.112 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.112 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.112 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.113 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546420526.113 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.113 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of k in n 1546420526.113 * [misc]backup-simplify: Simplify k into k 1546420526.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.113 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420526.113 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.113 * [misc]backup-simplify: Simplify 2 into 2 1546420526.113 * [misc]taylor: Taking taylor expansion of n in n 1546420526.113 * [misc]backup-simplify: Simplify 0 into 0 1546420526.114 * [misc]backup-simplify: Simplify 1 into 1 1546420526.114 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420526.114 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.114 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.114 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.114 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420526.115 * [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))) 1546420526.115 * [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)))) 1546420526.116 * [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))))) 1546420526.116 * [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)))))) 1546420526.117 * [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))))))) 1546420526.117 * [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))))))) 1546420526.117 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546420526.120 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420526.120 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420526.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420526.120 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.121 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420526.121 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546420526.123 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420526.125 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546420526.125 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420526.125 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420526.125 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.126 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.126 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1546420526.128 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420526.128 * [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 1546420526.129 * [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 1546420526.129 * [misc]backup-simplify: Simplify (- 0) into 0 1546420526.129 * [misc]backup-simplify: Simplify 0 into 0 1546420526.129 * [misc]backup-simplify: Simplify 0 into 0 1546420526.130 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420526.131 * [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 1546420526.131 * [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))))))) 1546420526.131 * [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 1546420526.131 * [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 1546420526.131 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.131 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.132 * [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 1546420526.132 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.132 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.132 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.132 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of k in n 1546420526.132 * [misc]backup-simplify: Simplify k into k 1546420526.132 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.132 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.132 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.132 * [misc]backup-simplify: Simplify PI into PI 1546420526.132 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.132 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.132 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.133 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1546420526.133 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420526.133 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420526.133 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420526.133 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420526.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420526.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.134 * [misc]taylor: Taking taylor expansion of k in n 1546420526.134 * [misc]backup-simplify: Simplify k into k 1546420526.134 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.134 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420526.134 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420526.134 * [misc]taylor: Taking taylor expansion of 2 in n 1546420526.134 * [misc]backup-simplify: Simplify 2 into 2 1546420526.134 * [misc]taylor: Taking taylor expansion of n in n 1546420526.134 * [misc]backup-simplify: Simplify 0 into 0 1546420526.134 * [misc]backup-simplify: Simplify 1 into 1 1546420526.134 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420526.134 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420526.134 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.134 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420526.135 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420526.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420526.135 * [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))) 1546420526.136 * [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)))) 1546420526.136 * [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))))) 1546420526.136 * [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)))))) 1546420526.137 * [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))))))) 1546420526.137 * [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))))))) 1546420526.140 * [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)))))))) 1546420526.140 * [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))) 1546420526.140 * [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 1546420526.141 * [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 1546420526.141 * [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 1546420526.141 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of k in n 1546420526.141 * [misc]backup-simplify: Simplify k into k 1546420526.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.141 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420526.141 * [misc]taylor: Taking taylor expansion of -2 in n 1546420526.141 * [misc]backup-simplify: Simplify -2 into -2 1546420526.141 * [misc]taylor: Taking taylor expansion of n in n 1546420526.141 * [misc]backup-simplify: Simplify 0 into 0 1546420526.141 * [misc]backup-simplify: Simplify 1 into 1 1546420526.141 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420526.142 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420526.142 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.142 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.142 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420526.142 * [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))) 1546420526.143 * [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)))) 1546420526.143 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.143 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of k in n 1546420526.143 * [misc]backup-simplify: Simplify k into k 1546420526.143 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.143 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.143 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.143 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.143 * [misc]backup-simplify: Simplify PI into PI 1546420526.144 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.144 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.144 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.144 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546420526.145 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.145 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420526.145 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420526.145 * [misc]taylor: Taking taylor expansion of -1 in n 1546420526.145 * [misc]backup-simplify: Simplify -1 into -1 1546420526.145 * [misc]taylor: Taking taylor expansion of k in n 1546420526.145 * [misc]backup-simplify: Simplify k into k 1546420526.145 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420526.145 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420526.145 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420526.145 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420526.146 * [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))) 1546420526.146 * [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))) 1546420526.146 * [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 1546420526.146 * [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 1546420526.146 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420526.146 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420526.146 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420526.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420526.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.146 * [misc]taylor: Taking taylor expansion of k in k 1546420526.146 * [misc]backup-simplify: Simplify 0 into 0 1546420526.146 * [misc]backup-simplify: Simplify 1 into 1 1546420526.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.147 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420526.147 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420526.147 * [misc]taylor: Taking taylor expansion of -2 in k 1546420526.147 * [misc]backup-simplify: Simplify -2 into -2 1546420526.147 * [misc]taylor: Taking taylor expansion of n in k 1546420526.147 * [misc]backup-simplify: Simplify n into n 1546420526.147 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420526.147 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420526.147 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.147 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420526.147 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420526.148 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.148 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.148 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of k in k 1546420526.148 * [misc]backup-simplify: Simplify 0 into 0 1546420526.148 * [misc]backup-simplify: Simplify 1 into 1 1546420526.148 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.148 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420526.148 * [misc]taylor: Taking taylor expansion of PI in k 1546420526.148 * [misc]backup-simplify: Simplify PI into PI 1546420526.148 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.149 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.149 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420526.149 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420526.150 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.150 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420526.150 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420526.150 * [misc]taylor: Taking taylor expansion of -1 in k 1546420526.150 * [misc]backup-simplify: Simplify -1 into -1 1546420526.150 * [misc]taylor: Taking taylor expansion of k in k 1546420526.150 * [misc]backup-simplify: Simplify 0 into 0 1546420526.150 * [misc]backup-simplify: Simplify 1 into 1 1546420526.150 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420526.150 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.151 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420526.151 * [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))) 1546420526.151 * [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)))) 1546420526.151 * [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 1546420526.151 * [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 1546420526.151 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420526.151 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420526.151 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420526.151 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420526.151 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.151 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.151 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.152 * [misc]taylor: Taking taylor expansion of k in k 1546420526.152 * [misc]backup-simplify: Simplify 0 into 0 1546420526.152 * [misc]backup-simplify: Simplify 1 into 1 1546420526.152 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.152 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.152 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420526.152 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420526.152 * [misc]taylor: Taking taylor expansion of -2 in k 1546420526.152 * [misc]backup-simplify: Simplify -2 into -2 1546420526.152 * [misc]taylor: Taking taylor expansion of n in k 1546420526.152 * [misc]backup-simplify: Simplify n into n 1546420526.152 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420526.152 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420526.152 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.152 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420526.153 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420526.153 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.153 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of k in k 1546420526.153 * [misc]backup-simplify: Simplify 0 into 0 1546420526.153 * [misc]backup-simplify: Simplify 1 into 1 1546420526.153 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420526.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420526.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.153 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420526.153 * [misc]taylor: Taking taylor expansion of PI in k 1546420526.153 * [misc]backup-simplify: Simplify PI into PI 1546420526.154 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.154 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420526.154 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420526.154 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420526.155 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.155 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420526.155 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420526.155 * [misc]taylor: Taking taylor expansion of -1 in k 1546420526.155 * [misc]backup-simplify: Simplify -1 into -1 1546420526.155 * [misc]taylor: Taking taylor expansion of k in k 1546420526.155 * [misc]backup-simplify: Simplify 0 into 0 1546420526.155 * [misc]backup-simplify: Simplify 1 into 1 1546420526.155 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420526.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420526.156 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420526.156 * [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))) 1546420526.156 * [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)))) 1546420526.156 * [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 1546420526.156 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.156 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.156 * [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 1546420526.157 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of k in n 1546420526.157 * [misc]backup-simplify: Simplify k into k 1546420526.157 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.157 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420526.157 * [misc]taylor: Taking taylor expansion of -2 in n 1546420526.157 * [misc]backup-simplify: Simplify -2 into -2 1546420526.157 * [misc]taylor: Taking taylor expansion of n in n 1546420526.157 * [misc]backup-simplify: Simplify 0 into 0 1546420526.157 * [misc]backup-simplify: Simplify 1 into 1 1546420526.157 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420526.157 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420526.158 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.158 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420526.158 * [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))) 1546420526.159 * [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)))) 1546420526.159 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of k in n 1546420526.159 * [misc]backup-simplify: Simplify k into k 1546420526.159 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.159 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.159 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.159 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.159 * [misc]backup-simplify: Simplify PI into PI 1546420526.159 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.159 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.160 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.160 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546420526.160 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.161 * [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))) 1546420526.161 * [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)))) 1546420526.162 * [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)))) 1546420526.162 * [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 1546420526.163 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420526.164 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420526.164 * [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))))) 1546420526.164 * [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 1546420526.164 * [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 1546420526.165 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.165 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.165 * [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 1546420526.165 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of k in n 1546420526.165 * [misc]backup-simplify: Simplify k into k 1546420526.165 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.165 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420526.165 * [misc]taylor: Taking taylor expansion of -2 in n 1546420526.165 * [misc]backup-simplify: Simplify -2 into -2 1546420526.165 * [misc]taylor: Taking taylor expansion of n in n 1546420526.165 * [misc]backup-simplify: Simplify 0 into 0 1546420526.165 * [misc]backup-simplify: Simplify 1 into 1 1546420526.165 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420526.165 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420526.165 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.166 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420526.166 * [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))) 1546420526.166 * [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)))) 1546420526.167 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of k in n 1546420526.167 * [misc]backup-simplify: Simplify k into k 1546420526.167 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.167 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.167 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.167 * [misc]backup-simplify: Simplify PI into PI 1546420526.167 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.167 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.167 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.168 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546420526.168 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.169 * [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))) 1546420526.169 * [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)))) 1546420526.170 * [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))))) 1546420526.170 * [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))))) 1546420526.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546420526.172 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420526.172 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420526.172 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.173 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1546420526.174 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420526.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546420526.175 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546420526.175 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420526.175 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420526.175 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420526.176 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420526.176 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546420526.177 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420526.177 * [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 1546420526.177 * [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 1546420526.177 * [misc]backup-simplify: Simplify 0 into 0 1546420526.178 * [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 1546420526.178 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420526.179 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420526.179 * [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))))) 1546420526.179 * [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 1546420526.179 * [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 1546420526.179 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420526.179 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420526.179 * [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 1546420526.179 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.179 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420526.179 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420526.180 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.180 * [misc]taylor: Taking taylor expansion of k in n 1546420526.180 * [misc]backup-simplify: Simplify k into k 1546420526.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.180 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420526.180 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420526.180 * [misc]taylor: Taking taylor expansion of -2 in n 1546420526.180 * [misc]backup-simplify: Simplify -2 into -2 1546420526.180 * [misc]taylor: Taking taylor expansion of n in n 1546420526.180 * [misc]backup-simplify: Simplify 0 into 0 1546420526.180 * [misc]backup-simplify: Simplify 1 into 1 1546420526.180 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420526.180 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420526.180 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.180 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.180 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420526.181 * [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))) 1546420526.181 * [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)))) 1546420526.181 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.181 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of k in n 1546420526.181 * [misc]backup-simplify: Simplify k into k 1546420526.181 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420526.181 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420526.181 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420526.181 * [misc]taylor: Taking taylor expansion of (log PI) in n 1546420526.181 * [misc]taylor: Taking taylor expansion of PI in n 1546420526.181 * [misc]backup-simplify: Simplify PI into PI 1546420526.181 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420526.181 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420526.181 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420526.182 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1546420526.182 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420526.182 * [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))) 1546420526.182 * [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)))) 1546420526.183 * [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))))) 1546420526.183 * [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))))) 1546420526.184 * [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)))))))) 1546420526.184 * * * [misc]progress: simplifying candidates 1546420526.184 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1546420526.185 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1546420526.185 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546420526.185 * * [misc]simplify: iters left: 3 (5 enodes) 1546420526.185 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546420526.186 * [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)))))) 1546420526.186 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1546420526.186 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546420526.186 * * [misc]simplify: iters left: 5 (6 enodes) 1546420526.187 * * [misc]simplify: iters left: 4 (8 enodes) 1546420526.188 * * [misc]simplify: iters left: 3 (11 enodes) 1546420526.189 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546420526.189 * [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)))))) 1546420526.189 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1546420526.189 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546420526.190 * * [misc]simplify: iters left: 5 (6 enodes) 1546420526.191 * * [misc]simplify: iters left: 4 (8 enodes) 1546420526.192 * * [misc]simplify: iters left: 3 (11 enodes) 1546420526.194 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546420526.194 * [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)))))) 1546420526.194 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1546420526.194 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546420526.194 * * [misc]simplify: iters left: 4 (5 enodes) 1546420526.195 * * [misc]simplify: iters left: 3 (7 enodes) 1546420526.196 * * [misc]simplify: iters left: 2 (10 enodes) 1546420526.197 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546420526.197 * [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)))))) 1546420526.197 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1546420526.197 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546420526.197 * * [misc]simplify: iters left: 5 (6 enodes) 1546420526.198 * * [misc]simplify: iters left: 4 (8 enodes) 1546420526.199 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546420526.199 * [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)))))) 1546420526.199 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1546420526.200 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546420526.200 * * [misc]simplify: iters left: 5 (6 enodes) 1546420526.200 * * [misc]simplify: iters left: 4 (8 enodes) 1546420526.202 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546420526.202 * [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)))))) 1546420526.202 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1546420526.202 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1546420526.202 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546420526.202 * * [misc]simplify: iters left: 6 (9 enodes) 1546420526.204 * * [misc]simplify: iters left: 5 (16 enodes) 1546420526.210 * * [misc]simplify: iters left: 4 (32 enodes) 1546420526.221 * * [misc]simplify: iters left: 3 (68 enodes) 1546420526.252 * * [misc]simplify: iters left: 2 (171 enodes) 1546420526.322 * * [misc]simplify: iters left: 1 (342 enodes) 1546420526.435 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546420526.435 * [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))))))) 1546420526.435 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1546420526.435 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1546420526.436 * [enter]simplify: Simplifying (* n 2) 1546420526.436 * * [misc]simplify: iters left: 2 (3 enodes) 1546420526.436 * * [misc]simplify: iters left: 1 (4 enodes) 1546420526.437 * [exit]simplify: Simplified to (* n 2) 1546420526.437 * [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))))))) 1546420526.437 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1546420526.437 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546420526.437 * * [misc]simplify: iters left: 3 (6 enodes) 1546420526.438 * * [misc]simplify: iters left: 2 (7 enodes) 1546420526.439 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546420526.439 * [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)))))) 1546420526.439 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1546420526.439 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546420526.439 * * [misc]simplify: iters left: 5 (6 enodes) 1546420526.440 * * [misc]simplify: iters left: 4 (8 enodes) 1546420526.442 * * [misc]simplify: iters left: 3 (11 enodes) 1546420526.443 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546420526.443 * [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))))))) 1546420526.443 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1546420526.443 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546420526.444 * * [misc]simplify: iters left: 5 (6 enodes) 1546420526.444 * * [misc]simplify: iters left: 4 (8 enodes) 1546420526.446 * * [misc]simplify: iters left: 3 (11 enodes) 1546420526.447 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546420526.447 * [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))))))) 1546420526.447 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1546420526.447 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546420526.447 * * [misc]simplify: iters left: 4 (5 enodes) 1546420526.448 * * [misc]simplify: iters left: 3 (7 enodes) 1546420526.449 * * [misc]simplify: iters left: 2 (10 enodes) 1546420526.451 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546420526.451 * [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)))))) 1546420526.451 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1546420526.451 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420526.451 * * [misc]simplify: iters left: 5 (7 enodes) 1546420526.452 * * [misc]simplify: iters left: 4 (10 enodes) 1546420526.453 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420526.453 * [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))))))) 1546420526.453 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1546420526.454 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420526.454 * * [misc]simplify: iters left: 5 (7 enodes) 1546420526.455 * * [misc]simplify: iters left: 4 (10 enodes) 1546420526.457 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420526.457 * [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))))))) 1546420526.457 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1546420526.457 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546420526.457 * * [misc]simplify: iters left: 5 (7 enodes) 1546420526.460 * * [misc]simplify: iters left: 4 (9 enodes) 1546420526.462 * * [misc]simplify: iters left: 3 (12 enodes) 1546420526.465 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546420526.466 * [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))))))) 1546420526.466 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1546420526.466 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1546420526.466 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546420526.467 * * [misc]simplify: iters left: 6 (12 enodes) 1546420526.471 * * [misc]simplify: iters left: 5 (21 enodes) 1546420526.478 * * [misc]simplify: iters left: 4 (44 enodes) 1546420526.497 * * [misc]simplify: iters left: 3 (125 enodes) 1546420526.552 * * [misc]simplify: iters left: 2 (343 enodes) 1546420526.666 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1546420526.666 * [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))))))) 1546420526.666 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1546420526.666 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546420526.666 * * [misc]simplify: iters left: 6 (12 enodes) 1546420526.671 * * [misc]simplify: iters left: 5 (21 enodes) 1546420526.678 * * [misc]simplify: iters left: 4 (44 enodes) 1546420526.695 * * [misc]simplify: iters left: 3 (125 enodes) 1546420526.755 * * [misc]simplify: iters left: 2 (343 enodes) 1546420526.848 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1546420526.848 * [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))))))) 1546420526.848 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1546420526.848 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1546420526.849 * * [misc]simplify: iters left: 6 (12 enodes) 1546420526.850 * * [misc]simplify: iters left: 5 (19 enodes) 1546420526.853 * * [misc]simplify: iters left: 4 (32 enodes) 1546420526.859 * * [misc]simplify: iters left: 3 (67 enodes) 1546420526.873 * * [misc]simplify: iters left: 2 (194 enodes) 1546420526.938 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546420526.938 * [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))))))) 1546420526.938 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1546420526.938 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1546420526.938 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1546420526.938 * [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))))) 1546420526.939 * * [misc]simplify: iters left: 6 (14 enodes) 1546420526.941 * * [misc]simplify: iters left: 5 (26 enodes) 1546420526.945 * * [misc]simplify: iters left: 4 (58 enodes) 1546420526.964 * * [misc]simplify: iters left: 3 (117 enodes) 1546420527.010 * * [misc]simplify: iters left: 2 (193 enodes) 1546420527.066 * * [misc]simplify: iters left: 1 (263 enodes) 1546420527.175 * [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))))) 1546420527.175 * [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)))))))) 1546420527.175 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1546420527.175 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1546420527.175 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1546420527.175 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1546420527.175 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1546420527.175 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546420527.176 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.179 * * [misc]simplify: iters left: 5 (14 enodes) 1546420527.183 * * [misc]simplify: iters left: 4 (16 enodes) 1546420527.187 * * [misc]simplify: iters left: 3 (17 enodes) 1546420527.192 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546420527.192 * [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))))))) 1546420527.193 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420527.193 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.196 * * [misc]simplify: iters left: 5 (13 enodes) 1546420527.200 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420527.200 * [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)))))) 1546420527.200 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1546420527.200 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546420527.200 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.203 * * [misc]simplify: iters left: 5 (14 enodes) 1546420527.207 * * [misc]simplify: iters left: 4 (16 enodes) 1546420527.211 * * [misc]simplify: iters left: 3 (17 enodes) 1546420527.216 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546420527.216 * [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))))))) 1546420527.216 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420527.216 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.219 * * [misc]simplify: iters left: 5 (13 enodes) 1546420527.223 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420527.223 * [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)))))) 1546420527.223 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1546420527.224 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546420527.224 * * [misc]simplify: iters left: 6 (11 enodes) 1546420527.227 * * [misc]simplify: iters left: 5 (15 enodes) 1546420527.232 * * [misc]simplify: iters left: 4 (20 enodes) 1546420527.237 * * [misc]simplify: iters left: 3 (21 enodes) 1546420527.243 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546420527.243 * [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))))))) 1546420527.243 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420527.243 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.246 * * [misc]simplify: iters left: 5 (11 enodes) 1546420527.249 * * [misc]simplify: iters left: 4 (14 enodes) 1546420527.253 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420527.253 * [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))))))) 1546420527.253 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1546420527.253 * [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)))))) 1546420527.253 * * [misc]simplify: iters left: 6 (14 enodes) 1546420527.258 * * [misc]simplify: iters left: 5 (23 enodes) 1546420527.265 * * [misc]simplify: iters left: 4 (35 enodes) 1546420527.274 * * [misc]simplify: iters left: 3 (38 enodes) 1546420527.286 * * [misc]simplify: iters left: 2 (41 enodes) 1546420527.297 * [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)))))) 1546420527.297 * [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)))))))) 1546420527.297 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.297 * * [misc]simplify: iters left: 6 (12 enodes) 1546420527.301 * * [misc]simplify: iters left: 5 (15 enodes) 1546420527.305 * * [misc]simplify: iters left: 4 (18 enodes) 1546420527.310 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.310 * [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)))))))) 1546420527.311 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1546420527.311 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.311 * * [misc]simplify: iters left: 6 (13 enodes) 1546420527.315 * * [misc]simplify: iters left: 5 (18 enodes) 1546420527.320 * * [misc]simplify: iters left: 4 (23 enodes) 1546420527.327 * * [misc]simplify: iters left: 3 (24 enodes) 1546420527.333 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.334 * [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)))))))) 1546420527.334 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.334 * * [misc]simplify: iters left: 6 (12 enodes) 1546420527.338 * * [misc]simplify: iters left: 5 (15 enodes) 1546420527.342 * * [misc]simplify: iters left: 4 (18 enodes) 1546420527.348 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.348 * [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)))))))) 1546420527.348 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1546420527.348 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546420527.348 * * [misc]simplify: iters left: 6 (6 enodes) 1546420527.350 * * [misc]simplify: iters left: 5 (10 enodes) 1546420527.354 * * [misc]simplify: iters left: 4 (16 enodes) 1546420527.358 * * [misc]simplify: iters left: 3 (18 enodes) 1546420527.361 * * [misc]simplify: iters left: 2 (23 enodes) 1546420527.367 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420527.367 * [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))))))) 1546420527.367 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.368 * * [misc]simplify: iters left: 6 (11 enodes) 1546420527.371 * * [misc]simplify: iters left: 5 (14 enodes) 1546420527.375 * * [misc]simplify: iters left: 4 (17 enodes) 1546420527.380 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.380 * [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))))))) 1546420527.380 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1546420527.380 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546420527.380 * * [misc]simplify: iters left: 5 (9 enodes) 1546420527.383 * * [misc]simplify: iters left: 4 (11 enodes) 1546420527.386 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546420527.386 * [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))))))) 1546420527.386 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420527.386 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.388 * * [misc]simplify: iters left: 5 (13 enodes) 1546420527.390 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420527.390 * [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)))))) 1546420527.390 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1546420527.390 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546420527.390 * * [misc]simplify: iters left: 5 (9 enodes) 1546420527.392 * * [misc]simplify: iters left: 4 (11 enodes) 1546420527.393 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546420527.393 * [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))))))) 1546420527.394 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420527.394 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.395 * * [misc]simplify: iters left: 5 (13 enodes) 1546420527.397 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420527.397 * [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)))))) 1546420527.397 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1546420527.397 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546420527.397 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.399 * * [misc]simplify: iters left: 5 (12 enodes) 1546420527.400 * * [misc]simplify: iters left: 4 (15 enodes) 1546420527.402 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546420527.402 * [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))))))) 1546420527.403 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420527.403 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.404 * * [misc]simplify: iters left: 5 (11 enodes) 1546420527.406 * * [misc]simplify: iters left: 4 (14 enodes) 1546420527.408 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420527.408 * [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))))))) 1546420527.408 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1546420527.408 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420527.408 * * [misc]simplify: iters left: 6 (13 enodes) 1546420527.410 * * [misc]simplify: iters left: 5 (18 enodes) 1546420527.412 * * [misc]simplify: iters left: 4 (21 enodes) 1546420527.416 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420527.416 * [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)))))))) 1546420527.416 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.416 * * [misc]simplify: iters left: 6 (12 enodes) 1546420527.418 * * [misc]simplify: iters left: 5 (15 enodes) 1546420527.421 * * [misc]simplify: iters left: 4 (18 enodes) 1546420527.426 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.427 * [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)))))))) 1546420527.427 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1546420527.427 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.427 * * [misc]simplify: iters left: 6 (12 enodes) 1546420527.431 * * [misc]simplify: iters left: 5 (15 enodes) 1546420527.435 * * [misc]simplify: iters left: 4 (18 enodes) 1546420527.440 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.440 * [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)))))))) 1546420527.440 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.441 * * [misc]simplify: iters left: 6 (12 enodes) 1546420527.445 * * [misc]simplify: iters left: 5 (15 enodes) 1546420527.449 * * [misc]simplify: iters left: 4 (18 enodes) 1546420527.454 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.454 * [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)))))))) 1546420527.454 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1546420527.454 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546420527.454 * * [misc]simplify: iters left: 4 (5 enodes) 1546420527.456 * * [misc]simplify: iters left: 3 (7 enodes) 1546420527.458 * * [misc]simplify: iters left: 2 (9 enodes) 1546420527.460 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420527.460 * [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))))))) 1546420527.460 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.461 * * [misc]simplify: iters left: 6 (11 enodes) 1546420527.464 * * [misc]simplify: iters left: 5 (14 enodes) 1546420527.466 * * [misc]simplify: iters left: 4 (17 enodes) 1546420527.468 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.468 * [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))))))) 1546420527.468 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1546420527.468 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546420527.468 * * [misc]simplify: iters left: 5 (7 enodes) 1546420527.469 * * [misc]simplify: iters left: 4 (11 enodes) 1546420527.471 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546420527.471 * [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))))))) 1546420527.471 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420527.471 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.472 * * [misc]simplify: iters left: 5 (12 enodes) 1546420527.474 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420527.474 * [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)))))) 1546420527.474 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1546420527.474 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546420527.474 * * [misc]simplify: iters left: 5 (7 enodes) 1546420527.475 * * [misc]simplify: iters left: 4 (11 enodes) 1546420527.477 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546420527.477 * [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))))))) 1546420527.477 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420527.477 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.479 * * [misc]simplify: iters left: 5 (12 enodes) 1546420527.480 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420527.480 * [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)))))) 1546420527.480 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1546420527.481 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1546420527.481 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.482 * * [misc]simplify: iters left: 5 (13 enodes) 1546420527.484 * * [misc]simplify: iters left: 4 (16 enodes) 1546420527.486 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1546420527.486 * [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))))))) 1546420527.486 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420527.486 * * [misc]simplify: iters left: 6 (8 enodes) 1546420527.487 * * [misc]simplify: iters left: 5 (10 enodes) 1546420527.489 * * [misc]simplify: iters left: 4 (13 enodes) 1546420527.491 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420527.491 * [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))))))) 1546420527.491 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1546420527.491 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420527.491 * * [misc]simplify: iters left: 6 (12 enodes) 1546420527.493 * * [misc]simplify: iters left: 5 (19 enodes) 1546420527.495 * * [misc]simplify: iters left: 4 (22 enodes) 1546420527.499 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420527.499 * [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)))))))) 1546420527.499 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.499 * * [misc]simplify: iters left: 6 (11 enodes) 1546420527.501 * * [misc]simplify: iters left: 5 (14 enodes) 1546420527.502 * * [misc]simplify: iters left: 4 (17 enodes) 1546420527.505 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.505 * [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)))))))) 1546420527.505 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1546420527.505 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.505 * * [misc]simplify: iters left: 6 (11 enodes) 1546420527.507 * * [misc]simplify: iters left: 5 (16 enodes) 1546420527.509 * * [misc]simplify: iters left: 4 (19 enodes) 1546420527.512 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420527.512 * [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)))))))) 1546420527.512 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.512 * * [misc]simplify: iters left: 6 (11 enodes) 1546420527.515 * * [misc]simplify: iters left: 5 (14 enodes) 1546420527.520 * * [misc]simplify: iters left: 4 (17 enodes) 1546420527.525 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420527.525 * [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)))))))) 1546420527.525 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1546420527.525 * [enter]simplify: Simplifying (/ 1 1) 1546420527.526 * * [misc]simplify: iters left: 2 (2 enodes) 1546420527.526 * * [misc]simplify: iters left: 1 (4 enodes) 1546420527.527 * [exit]simplify: Simplified to 1 1546420527.527 * [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))))))) 1546420527.527 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.528 * * [misc]simplify: iters left: 6 (10 enodes) 1546420527.530 * * [misc]simplify: iters left: 5 (13 enodes) 1546420527.534 * * [misc]simplify: iters left: 4 (16 enodes) 1546420527.539 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.539 * [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))))))) 1546420527.539 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1546420527.539 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1546420527.539 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1546420527.539 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1546420527.539 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420527.539 * * [misc]simplify: iters left: 5 (7 enodes) 1546420527.541 * * [misc]simplify: iters left: 4 (10 enodes) 1546420527.544 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420527.544 * [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)))))) 1546420527.545 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1546420527.545 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420527.545 * * [misc]simplify: iters left: 5 (7 enodes) 1546420527.547 * * [misc]simplify: iters left: 4 (10 enodes) 1546420527.550 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420527.550 * [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)))))) 1546420527.550 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1546420527.551 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546420527.551 * * [misc]simplify: iters left: 5 (6 enodes) 1546420527.553 * * [misc]simplify: iters left: 4 (8 enodes) 1546420527.555 * * [misc]simplify: iters left: 3 (11 enodes) 1546420527.558 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546420527.558 * [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)))))) 1546420527.558 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1546420527.558 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.558 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.561 * * [misc]simplify: iters left: 5 (12 enodes) 1546420527.564 * * [misc]simplify: iters left: 4 (15 enodes) 1546420527.569 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.569 * [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))))))) 1546420527.569 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1546420527.569 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.569 * * [misc]simplify: iters left: 6 (9 enodes) 1546420527.572 * * [misc]simplify: iters left: 5 (12 enodes) 1546420527.575 * * [misc]simplify: iters left: 4 (15 enodes) 1546420527.579 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420527.579 * [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))))))) 1546420527.579 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1546420527.580 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546420527.580 * * [misc]simplify: iters left: 5 (8 enodes) 1546420527.582 * * [misc]simplify: iters left: 4 (11 enodes) 1546420527.585 * * [misc]simplify: iters left: 3 (14 enodes) 1546420527.589 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546420527.589 * [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)))))) 1546420527.589 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1546420527.589 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420527.589 * * [misc]simplify: iters left: 4 (4 enodes) 1546420527.591 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420527.591 * [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)))))) 1546420527.591 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1546420527.591 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546420527.591 * * [misc]simplify: iters left: 2 (3 enodes) 1546420527.592 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420527.592 * [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)))))) 1546420527.592 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1546420527.592 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1546420527.592 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546420527.592 * * [misc]simplify: iters left: 3 (6 enodes) 1546420527.594 * * [misc]simplify: iters left: 2 (7 enodes) 1546420527.596 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546420527.596 * [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))))) 1546420527.596 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1546420527.597 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1546420527.597 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420527.597 * * [misc]simplify: iters left: 6 (18 enodes) 1546420527.604 * * [misc]simplify: iters left: 5 (36 enodes) 1546420527.616 * * [misc]simplify: iters left: 4 (90 enodes) 1546420527.659 * * [misc]simplify: iters left: 3 (297 enodes) 1546420527.845 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420527.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420527.846 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1546420527.846 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420527.846 * * [misc]simplify: iters left: 6 (18 enodes) 1546420527.852 * * [misc]simplify: iters left: 5 (36 enodes) 1546420527.865 * * [misc]simplify: iters left: 4 (90 enodes) 1546420527.907 * * [misc]simplify: iters left: 3 (297 enodes) 1546420528.030 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420528.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420528.030 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1546420528.030 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420528.031 * * [misc]simplify: iters left: 6 (18 enodes) 1546420528.033 * * [misc]simplify: iters left: 5 (34 enodes) 1546420528.039 * * [misc]simplify: iters left: 4 (78 enodes) 1546420528.071 * * [misc]simplify: iters left: 3 (217 enodes) 1546420528.151 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420528.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420528.151 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1546420528.151 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420528.152 * * [misc]simplify: iters left: 6 (17 enodes) 1546420528.154 * * [misc]simplify: iters left: 5 (30 enodes) 1546420528.159 * * [misc]simplify: iters left: 4 (65 enodes) 1546420528.180 * * [misc]simplify: iters left: 3 (170 enodes) 1546420528.248 * * [misc]simplify: iters left: 2 (315 enodes) 1546420528.416 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1546420528.416 * [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)))))) 1546420528.416 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1546420528.416 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420528.416 * * [misc]simplify: iters left: 6 (18 enodes) 1546420528.419 * * [misc]simplify: iters left: 5 (33 enodes) 1546420528.425 * * [misc]simplify: iters left: 4 (68 enodes) 1546420528.443 * * [misc]simplify: iters left: 3 (204 enodes) 1546420528.564 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1546420528.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1546420528.564 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1546420528.565 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420528.565 * * [misc]simplify: iters left: 6 (18 enodes) 1546420528.571 * * [misc]simplify: iters left: 5 (33 enodes) 1546420528.577 * * [misc]simplify: iters left: 4 (68 enodes) 1546420528.591 * * [misc]simplify: iters left: 3 (204 enodes) 1546420528.691 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1546420528.691 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1546420528.691 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1546420528.691 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420528.691 * * [misc]simplify: iters left: 6 (18 enodes) 1546420528.694 * * [misc]simplify: iters left: 5 (31 enodes) 1546420528.699 * * [misc]simplify: iters left: 4 (56 enodes) 1546420528.709 * * [misc]simplify: iters left: 3 (127 enodes) 1546420528.776 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1546420528.776 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1546420528.776 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1546420528.776 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420528.777 * * [misc]simplify: iters left: 6 (17 enodes) 1546420528.779 * * [misc]simplify: iters left: 5 (27 enodes) 1546420528.783 * * [misc]simplify: iters left: 4 (44 enodes) 1546420528.791 * * [misc]simplify: iters left: 3 (84 enodes) 1546420528.811 * * [misc]simplify: iters left: 2 (222 enodes) 1546420528.955 * [exit]simplify: Simplified to (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))) 1546420528.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))))) 1546420528.955 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1546420528.955 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420528.955 * * [misc]simplify: iters left: 6 (19 enodes) 1546420528.959 * * [misc]simplify: iters left: 5 (38 enodes) 1546420528.964 * * [misc]simplify: iters left: 4 (77 enodes) 1546420528.993 * * [misc]simplify: iters left: 3 (215 enodes) 1546420529.088 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420529.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420529.088 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1546420529.089 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420529.089 * * [misc]simplify: iters left: 6 (19 enodes) 1546420529.096 * * [misc]simplify: iters left: 5 (38 enodes) 1546420529.107 * * [misc]simplify: iters left: 4 (77 enodes) 1546420529.131 * * [misc]simplify: iters left: 3 (215 enodes) 1546420529.241 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420529.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420529.242 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1546420529.242 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420529.242 * * [misc]simplify: iters left: 6 (19 enodes) 1546420529.253 * * [misc]simplify: iters left: 5 (36 enodes) 1546420529.264 * * [misc]simplify: iters left: 4 (65 enodes) 1546420529.274 * * [misc]simplify: iters left: 3 (130 enodes) 1546420529.337 * * [misc]simplify: iters left: 2 (462 enodes) 1546420529.729 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1546420529.729 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1546420529.729 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1546420529.730 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420529.730 * * [misc]simplify: iters left: 6 (18 enodes) 1546420529.733 * * [misc]simplify: iters left: 5 (32 enodes) 1546420529.737 * * [misc]simplify: iters left: 4 (47 enodes) 1546420529.744 * * [misc]simplify: iters left: 3 (73 enodes) 1546420529.756 * * [misc]simplify: iters left: 2 (156 enodes) 1546420529.903 * [exit]simplify: Simplified to (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1546420529.903 * [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)))))) 1546420529.903 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1546420529.903 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420529.903 * * [misc]simplify: iters left: 6 (19 enodes) 1546420529.911 * * [misc]simplify: iters left: 5 (40 enodes) 1546420529.924 * * [misc]simplify: iters left: 4 (82 enodes) 1546420529.948 * * [misc]simplify: iters left: 3 (210 enodes) 1546420530.060 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420530.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420530.061 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1546420530.061 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1546420530.061 * * [misc]simplify: iters left: 6 (19 enodes) 1546420530.069 * * [misc]simplify: iters left: 5 (40 enodes) 1546420530.081 * * [misc]simplify: iters left: 4 (82 enodes) 1546420530.113 * * [misc]simplify: iters left: 3 (210 enodes) 1546420530.279 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420530.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420530.279 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1546420530.279 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420530.280 * * [misc]simplify: iters left: 6 (19 enodes) 1546420530.287 * * [misc]simplify: iters left: 5 (38 enodes) 1546420530.300 * * [misc]simplify: iters left: 4 (70 enodes) 1546420530.312 * * [misc]simplify: iters left: 3 (133 enodes) 1546420530.378 * * [misc]simplify: iters left: 2 (490 enodes) 1546420530.785 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1546420530.785 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1546420530.785 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1546420530.785 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420530.785 * * [misc]simplify: iters left: 6 (18 enodes) 1546420530.792 * * [misc]simplify: iters left: 5 (34 enodes) 1546420530.802 * * [misc]simplify: iters left: 4 (56 enodes) 1546420530.817 * * [misc]simplify: iters left: 3 (83 enodes) 1546420530.837 * * [misc]simplify: iters left: 2 (189 enodes) 1546420530.941 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))) 1546420530.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))))) 1546420530.941 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1546420530.941 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1546420530.941 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1546420530.941 * [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)))))) 1546420530.942 * * [misc]simplify: iters left: 6 (22 enodes) 1546420530.946 * * [misc]simplify: iters left: 5 (49 enodes) 1546420530.958 * * [misc]simplify: iters left: 4 (146 enodes) 1546420531.020 * [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)))))) 1546420531.020 * [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)))))))) 1546420531.021 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1546420531.021 * [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)))))) 1546420531.021 * * [misc]simplify: iters left: 6 (20 enodes) 1546420531.025 * * [misc]simplify: iters left: 5 (48 enodes) 1546420531.037 * * [misc]simplify: iters left: 4 (131 enodes) 1546420531.127 * [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)))))) 1546420531.127 * [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)))))))) 1546420531.127 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1546420531.128 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1546420531.128 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1546420531.128 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1546420531.128 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1546420531.128 * [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))))))) 1546420531.128 * * [misc]simplify: iters left: 6 (20 enodes) 1546420531.135 * * [misc]simplify: iters left: 5 (33 enodes) 1546420531.145 * * [misc]simplify: iters left: 4 (46 enodes) 1546420531.153 * * [misc]simplify: iters left: 3 (53 enodes) 1546420531.162 * * [misc]simplify: iters left: 2 (56 enodes) 1546420531.169 * [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))))))) 1546420531.169 * [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)))))))) 1546420531.169 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420531.169 * * [misc]simplify: iters left: 6 (18 enodes) 1546420531.173 * * [misc]simplify: iters left: 5 (25 enodes) 1546420531.176 * * [misc]simplify: iters left: 4 (29 enodes) 1546420531.180 * * [misc]simplify: iters left: 3 (33 enodes) 1546420531.184 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420531.184 * [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)))))))) 1546420531.184 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1546420531.185 * [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)))))) 1546420531.185 * * [misc]simplify: iters left: 6 (19 enodes) 1546420531.188 * * [misc]simplify: iters left: 5 (28 enodes) 1546420531.192 * * [misc]simplify: iters left: 4 (34 enodes) 1546420531.198 * * [misc]simplify: iters left: 3 (39 enodes) 1546420531.207 * [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)))))) 1546420531.207 * [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)))))))) 1546420531.207 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420531.208 * * [misc]simplify: iters left: 6 (18 enodes) 1546420531.213 * * [misc]simplify: iters left: 5 (25 enodes) 1546420531.219 * * [misc]simplify: iters left: 4 (29 enodes) 1546420531.226 * * [misc]simplify: iters left: 3 (33 enodes) 1546420531.233 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420531.233 * [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)))))))) 1546420531.233 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1546420531.233 * [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))) 1546420531.234 * * [misc]simplify: iters left: 6 (20 enodes) 1546420531.240 * * [misc]simplify: iters left: 5 (34 enodes) 1546420531.248 * * [misc]simplify: iters left: 4 (53 enodes) 1546420531.266 * * [misc]simplify: iters left: 3 (98 enodes) 1546420531.299 * * [misc]simplify: iters left: 2 (155 enodes) 1546420531.330 * * [misc]simplify: iters left: 1 (186 enodes) 1546420531.393 * [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)))))) 1546420531.393 * [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))))))) 1546420531.394 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420531.394 * * [misc]simplify: iters left: 6 (19 enodes) 1546420531.400 * * [misc]simplify: iters left: 5 (29 enodes) 1546420531.404 * * [misc]simplify: iters left: 4 (34 enodes) 1546420531.409 * * [misc]simplify: iters left: 3 (40 enodes) 1546420531.416 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420531.416 * [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)))))) 1546420531.416 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1546420531.416 * [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))) 1546420531.417 * * [misc]simplify: iters left: 6 (20 enodes) 1546420531.423 * * [misc]simplify: iters left: 5 (34 enodes) 1546420531.433 * * [misc]simplify: iters left: 4 (53 enodes) 1546420531.451 * * [misc]simplify: iters left: 3 (98 enodes) 1546420531.486 * * [misc]simplify: iters left: 2 (155 enodes) 1546420531.543 * * [misc]simplify: iters left: 1 (186 enodes) 1546420531.606 * [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)))))) 1546420531.606 * [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))))))) 1546420531.607 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420531.607 * * [misc]simplify: iters left: 6 (19 enodes) 1546420531.613 * * [misc]simplify: iters left: 5 (29 enodes) 1546420531.621 * * [misc]simplify: iters left: 4 (34 enodes) 1546420531.630 * * [misc]simplify: iters left: 3 (40 enodes) 1546420531.639 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420531.639 * [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)))))) 1546420531.639 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1546420531.640 * [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))))) 1546420531.640 * * [misc]simplify: iters left: 6 (19 enodes) 1546420531.647 * * [misc]simplify: iters left: 5 (31 enodes) 1546420531.652 * * [misc]simplify: iters left: 4 (50 enodes) 1546420531.660 * * [misc]simplify: iters left: 3 (95 enodes) 1546420531.677 * * [misc]simplify: iters left: 2 (150 enodes) 1546420531.722 * * [misc]simplify: iters left: 1 (181 enodes) 1546420531.754 * [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)))))) 1546420531.754 * [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))))))) 1546420531.754 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420531.755 * * [misc]simplify: iters left: 6 (16 enodes) 1546420531.758 * * [misc]simplify: iters left: 5 (24 enodes) 1546420531.763 * * [misc]simplify: iters left: 4 (31 enodes) 1546420531.772 * * [misc]simplify: iters left: 3 (37 enodes) 1546420531.780 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420531.780 * [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))))))) 1546420531.780 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1546420531.781 * [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))))))) 1546420531.781 * * [misc]simplify: iters left: 6 (22 enodes) 1546420531.789 * * [misc]simplify: iters left: 5 (39 enodes) 1546420531.800 * * [misc]simplify: iters left: 4 (74 enodes) 1546420531.813 * * [misc]simplify: iters left: 3 (149 enodes) 1546420531.862 * * [misc]simplify: iters left: 2 (277 enodes) 1546420531.993 * * [misc]simplify: iters left: 1 (387 enodes) 1546420532.184 * [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))))) 1546420532.184 * [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)))))))) 1546420532.184 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420532.185 * * [misc]simplify: iters left: 6 (19 enodes) 1546420532.188 * * [misc]simplify: iters left: 5 (28 enodes) 1546420532.192 * * [misc]simplify: iters left: 4 (35 enodes) 1546420532.197 * * [misc]simplify: iters left: 3 (41 enodes) 1546420532.203 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546420532.204 * [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))))) 1546420532.204 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1546420532.204 * [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)))))) 1546420532.204 * * [misc]simplify: iters left: 6 (21 enodes) 1546420532.208 * * [misc]simplify: iters left: 5 (34 enodes) 1546420532.212 * * [misc]simplify: iters left: 4 (53 enodes) 1546420532.221 * * [misc]simplify: iters left: 3 (98 enodes) 1546420532.253 * * [misc]simplify: iters left: 2 (151 enodes) 1546420532.307 * * [misc]simplify: iters left: 1 (184 enodes) 1546420532.375 * [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)))))) 1546420532.375 * [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)))))))) 1546420532.375 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420532.375 * * [misc]simplify: iters left: 6 (19 enodes) 1546420532.382 * * [misc]simplify: iters left: 5 (28 enodes) 1546420532.389 * * [misc]simplify: iters left: 4 (35 enodes) 1546420532.399 * * [misc]simplify: iters left: 3 (41 enodes) 1546420532.409 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546420532.409 * [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))))) 1546420532.409 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1546420532.409 * [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)) 1546420532.409 * * [misc]simplify: iters left: 6 (17 enodes) 1546420532.416 * * [misc]simplify: iters left: 5 (29 enodes) 1546420532.422 * * [misc]simplify: iters left: 4 (51 enodes) 1546420532.430 * * [misc]simplify: iters left: 3 (95 enodes) 1546420532.452 * * [misc]simplify: iters left: 2 (277 enodes) 1546420532.609 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1546420532.609 * [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))))))) 1546420532.609 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420532.610 * * [misc]simplify: iters left: 6 (18 enodes) 1546420532.616 * * [misc]simplify: iters left: 5 (27 enodes) 1546420532.623 * * [misc]simplify: iters left: 4 (34 enodes) 1546420532.630 * * [misc]simplify: iters left: 3 (40 enodes) 1546420532.635 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420532.635 * [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))))))) 1546420532.635 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1546420532.635 * [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))) 1546420532.635 * * [misc]simplify: iters left: 6 (19 enodes) 1546420532.638 * * [misc]simplify: iters left: 5 (31 enodes) 1546420532.644 * * [misc]simplify: iters left: 4 (42 enodes) 1546420532.651 * * [misc]simplify: iters left: 3 (58 enodes) 1546420532.660 * * [misc]simplify: iters left: 2 (70 enodes) 1546420532.677 * * [misc]simplify: iters left: 1 (76 enodes) 1546420532.697 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546420532.697 * [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))))))) 1546420532.697 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420532.698 * * [misc]simplify: iters left: 6 (19 enodes) 1546420532.702 * * [misc]simplify: iters left: 5 (29 enodes) 1546420532.706 * * [misc]simplify: iters left: 4 (34 enodes) 1546420532.711 * * [misc]simplify: iters left: 3 (40 enodes) 1546420532.715 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420532.716 * [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)))))) 1546420532.716 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1546420532.716 * [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))) 1546420532.716 * * [misc]simplify: iters left: 6 (19 enodes) 1546420532.719 * * [misc]simplify: iters left: 5 (31 enodes) 1546420532.724 * * [misc]simplify: iters left: 4 (42 enodes) 1546420532.732 * * [misc]simplify: iters left: 3 (58 enodes) 1546420532.747 * * [misc]simplify: iters left: 2 (70 enodes) 1546420532.766 * * [misc]simplify: iters left: 1 (76 enodes) 1546420532.785 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1546420532.785 * [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))))))) 1546420532.786 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420532.786 * * [misc]simplify: iters left: 6 (19 enodes) 1546420532.792 * * [misc]simplify: iters left: 5 (29 enodes) 1546420532.800 * * [misc]simplify: iters left: 4 (34 enodes) 1546420532.809 * * [misc]simplify: iters left: 3 (40 enodes) 1546420532.819 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420532.819 * [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)))))) 1546420532.819 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1546420532.820 * [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))))) 1546420532.820 * * [misc]simplify: iters left: 6 (18 enodes) 1546420532.826 * * [misc]simplify: iters left: 5 (28 enodes) 1546420532.834 * * [misc]simplify: iters left: 4 (39 enodes) 1546420532.840 * * [misc]simplify: iters left: 3 (55 enodes) 1546420532.847 * * [misc]simplify: iters left: 2 (67 enodes) 1546420532.856 * * [misc]simplify: iters left: 1 (73 enodes) 1546420532.867 * [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))))) 1546420532.868 * [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))))))) 1546420532.868 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420532.868 * * [misc]simplify: iters left: 6 (16 enodes) 1546420532.873 * * [misc]simplify: iters left: 5 (24 enodes) 1546420532.881 * * [misc]simplify: iters left: 4 (31 enodes) 1546420532.890 * * [misc]simplify: iters left: 3 (37 enodes) 1546420532.898 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420532.899 * [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))))))) 1546420532.899 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1546420532.899 * [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))))))) 1546420532.899 * * [misc]simplify: iters left: 6 (21 enodes) 1546420532.906 * * [misc]simplify: iters left: 5 (34 enodes) 1546420532.916 * * [misc]simplify: iters left: 4 (49 enodes) 1546420532.932 * * [misc]simplify: iters left: 3 (79 enodes) 1546420532.955 * * [misc]simplify: iters left: 2 (118 enodes) 1546420532.994 * * [misc]simplify: iters left: 1 (151 enodes) 1546420533.028 * [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))) 1546420533.028 * [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)))))))) 1546420533.028 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420533.029 * * [misc]simplify: iters left: 6 (19 enodes) 1546420533.032 * * [misc]simplify: iters left: 5 (28 enodes) 1546420533.036 * * [misc]simplify: iters left: 4 (35 enodes) 1546420533.041 * * [misc]simplify: iters left: 3 (41 enodes) 1546420533.046 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420533.046 * [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))))) 1546420533.046 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1546420533.046 * [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)))))) 1546420533.046 * * [misc]simplify: iters left: 6 (20 enodes) 1546420533.049 * * [misc]simplify: iters left: 5 (31 enodes) 1546420533.054 * * [misc]simplify: iters left: 4 (42 enodes) 1546420533.060 * * [misc]simplify: iters left: 3 (58 enodes) 1546420533.072 * * [misc]simplify: iters left: 2 (70 enodes) 1546420533.089 * * [misc]simplify: iters left: 1 (76 enodes) 1546420533.109 * [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)))) 1546420533.109 * [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)))))))) 1546420533.110 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420533.110 * * [misc]simplify: iters left: 6 (19 enodes) 1546420533.116 * * [misc]simplify: iters left: 5 (28 enodes) 1546420533.125 * * [misc]simplify: iters left: 4 (35 enodes) 1546420533.136 * * [misc]simplify: iters left: 3 (41 enodes) 1546420533.146 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420533.146 * [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))))) 1546420533.146 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1546420533.146 * [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)) 1546420533.146 * * [misc]simplify: iters left: 6 (16 enodes) 1546420533.152 * * [misc]simplify: iters left: 5 (26 enodes) 1546420533.160 * * [misc]simplify: iters left: 4 (38 enodes) 1546420533.170 * * [misc]simplify: iters left: 3 (50 enodes) 1546420533.178 * * [misc]simplify: iters left: 2 (51 enodes) 1546420533.183 * * [misc]simplify: iters left: 1 (57 enodes) 1546420533.190 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546420533.190 * [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))))))) 1546420533.190 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420533.190 * * [misc]simplify: iters left: 6 (18 enodes) 1546420533.193 * * [misc]simplify: iters left: 5 (27 enodes) 1546420533.197 * * [misc]simplify: iters left: 4 (34 enodes) 1546420533.201 * * [misc]simplify: iters left: 3 (40 enodes) 1546420533.209 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420533.209 * [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))))))) 1546420533.209 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1546420533.210 * [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))) 1546420533.210 * * [misc]simplify: iters left: 6 (17 enodes) 1546420533.216 * * [misc]simplify: iters left: 5 (29 enodes) 1546420533.224 * * [misc]simplify: iters left: 4 (40 enodes) 1546420533.236 * * [misc]simplify: iters left: 3 (59 enodes) 1546420533.253 * * [misc]simplify: iters left: 2 (81 enodes) 1546420533.274 * * [misc]simplify: iters left: 1 (160 enodes) 1546420533.318 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546420533.319 * [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))))))) 1546420533.319 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420533.319 * * [misc]simplify: iters left: 6 (18 enodes) 1546420533.325 * * [misc]simplify: iters left: 5 (28 enodes) 1546420533.330 * * [misc]simplify: iters left: 4 (33 enodes) 1546420533.334 * * [misc]simplify: iters left: 3 (39 enodes) 1546420533.339 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546420533.339 * [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)))))) 1546420533.339 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1546420533.339 * [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))) 1546420533.340 * * [misc]simplify: iters left: 6 (17 enodes) 1546420533.343 * * [misc]simplify: iters left: 5 (29 enodes) 1546420533.348 * * [misc]simplify: iters left: 4 (40 enodes) 1546420533.354 * * [misc]simplify: iters left: 3 (59 enodes) 1546420533.362 * * [misc]simplify: iters left: 2 (81 enodes) 1546420533.386 * * [misc]simplify: iters left: 1 (160 enodes) 1546420533.423 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546420533.423 * [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))))))) 1546420533.424 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420533.424 * * [misc]simplify: iters left: 6 (18 enodes) 1546420533.427 * * [misc]simplify: iters left: 5 (28 enodes) 1546420533.431 * * [misc]simplify: iters left: 4 (33 enodes) 1546420533.436 * * [misc]simplify: iters left: 3 (39 enodes) 1546420533.441 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546420533.441 * [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)))))) 1546420533.441 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1546420533.441 * [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))))) 1546420533.441 * * [misc]simplify: iters left: 6 (16 enodes) 1546420533.444 * * [misc]simplify: iters left: 5 (26 enodes) 1546420533.448 * * [misc]simplify: iters left: 4 (37 enodes) 1546420533.454 * * [misc]simplify: iters left: 3 (56 enodes) 1546420533.461 * * [misc]simplify: iters left: 2 (78 enodes) 1546420533.473 * * [misc]simplify: iters left: 1 (140 enodes) 1546420533.515 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546420533.515 * [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))))))) 1546420533.515 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420533.516 * * [misc]simplify: iters left: 6 (15 enodes) 1546420533.521 * * [misc]simplify: iters left: 5 (23 enodes) 1546420533.527 * * [misc]simplify: iters left: 4 (30 enodes) 1546420533.535 * * [misc]simplify: iters left: 3 (36 enodes) 1546420533.544 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420533.544 * [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))))))) 1546420533.544 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1546420533.545 * [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))))))) 1546420533.545 * * [misc]simplify: iters left: 6 (19 enodes) 1546420533.551 * * [misc]simplify: iters left: 5 (32 enodes) 1546420533.561 * * [misc]simplify: iters left: 4 (47 enodes) 1546420533.576 * * [misc]simplify: iters left: 3 (78 enodes) 1546420533.601 * * [misc]simplify: iters left: 2 (146 enodes) 1546420533.697 * * [misc]simplify: iters left: 1 (394 enodes) 1546420533.938 * [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)))))) 1546420533.938 * [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)))))))) 1546420533.939 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420533.939 * * [misc]simplify: iters left: 6 (18 enodes) 1546420533.944 * * [misc]simplify: iters left: 5 (27 enodes) 1546420533.948 * * [misc]simplify: iters left: 4 (34 enodes) 1546420533.953 * * [misc]simplify: iters left: 3 (40 enodes) 1546420533.958 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420533.958 * [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)))))))) 1546420533.958 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1546420533.958 * [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)))))) 1546420533.959 * * [misc]simplify: iters left: 6 (18 enodes) 1546420533.962 * * [misc]simplify: iters left: 5 (29 enodes) 1546420533.966 * * [misc]simplify: iters left: 4 (40 enodes) 1546420533.972 * * [misc]simplify: iters left: 3 (59 enodes) 1546420533.984 * * [misc]simplify: iters left: 2 (81 enodes) 1546420534.009 * * [misc]simplify: iters left: 1 (161 enodes) 1546420534.051 * [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)))))) 1546420534.051 * [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)))))))) 1546420534.051 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420534.051 * * [misc]simplify: iters left: 6 (18 enodes) 1546420534.058 * * [misc]simplify: iters left: 5 (27 enodes) 1546420534.065 * * [misc]simplify: iters left: 4 (34 enodes) 1546420534.074 * * [misc]simplify: iters left: 3 (40 enodes) 1546420534.084 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420534.084 * [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)))))))) 1546420534.084 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1546420534.084 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1546420534.084 * * [misc]simplify: iters left: 6 (14 enodes) 1546420534.089 * * [misc]simplify: iters left: 5 (21 enodes) 1546420534.095 * * [misc]simplify: iters left: 4 (29 enodes) 1546420534.103 * * [misc]simplify: iters left: 3 (39 enodes) 1546420534.113 * * [misc]simplify: iters left: 2 (51 enodes) 1546420534.125 * * [misc]simplify: iters left: 1 (79 enodes) 1546420534.145 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546420534.145 * [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))))))) 1546420534.145 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420534.145 * * [misc]simplify: iters left: 6 (17 enodes) 1546420534.151 * * [misc]simplify: iters left: 5 (26 enodes) 1546420534.158 * * [misc]simplify: iters left: 4 (33 enodes) 1546420534.168 * * [misc]simplify: iters left: 3 (39 enodes) 1546420534.177 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420534.177 * [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))))))) 1546420534.177 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1546420534.177 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1546420534.178 * * [misc]simplify: iters left: 6 (13 enodes) 1546420534.182 * * [misc]simplify: iters left: 5 (21 enodes) 1546420534.190 * * [misc]simplify: iters left: 4 (31 enodes) 1546420534.198 * * [misc]simplify: iters left: 3 (46 enodes) 1546420534.210 * * [misc]simplify: iters left: 2 (72 enodes) 1546420534.229 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546420534.229 * [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))))))) 1546420534.230 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420534.230 * * [misc]simplify: iters left: 6 (17 enodes) 1546420534.236 * * [misc]simplify: iters left: 5 (26 enodes) 1546420534.243 * * [misc]simplify: iters left: 4 (33 enodes) 1546420534.252 * * [misc]simplify: iters left: 3 (39 enodes) 1546420534.262 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420534.262 * [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))))))) 1546420534.262 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1546420534.262 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1546420534.262 * * [misc]simplify: iters left: 6 (14 enodes) 1546420534.267 * * [misc]simplify: iters left: 5 (22 enodes) 1546420534.273 * * [misc]simplify: iters left: 4 (28 enodes) 1546420534.281 * * [misc]simplify: iters left: 3 (33 enodes) 1546420534.289 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1546420534.290 * [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))))))) 1546420534.290 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546420534.290 * * [misc]simplify: iters left: 6 (16 enodes) 1546420534.296 * * [misc]simplify: iters left: 5 (25 enodes) 1546420534.302 * * [misc]simplify: iters left: 4 (32 enodes) 1546420534.312 * * [misc]simplify: iters left: 3 (45 enodes) 1546420534.323 * * [misc]simplify: iters left: 2 (47 enodes) 1546420534.332 * * [misc]simplify: iters left: 1 (52 enodes) 1546420534.345 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546420534.345 * [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))))))) 1546420534.345 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1546420534.346 * [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))) 1546420534.346 * * [misc]simplify: iters left: 6 (18 enodes) 1546420534.352 * * [misc]simplify: iters left: 5 (30 enodes) 1546420534.360 * * [misc]simplify: iters left: 4 (41 enodes) 1546420534.372 * * [misc]simplify: iters left: 3 (57 enodes) 1546420534.386 * * [misc]simplify: iters left: 2 (69 enodes) 1546420534.403 * * [misc]simplify: iters left: 1 (75 enodes) 1546420534.422 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1546420534.422 * [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))))) 1546420534.423 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546420534.423 * * [misc]simplify: iters left: 6 (15 enodes) 1546420534.428 * * [misc]simplify: iters left: 5 (22 enodes) 1546420534.434 * * [misc]simplify: iters left: 4 (26 enodes) 1546420534.441 * * [misc]simplify: iters left: 3 (30 enodes) 1546420534.448 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546420534.448 * [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))))) 1546420534.448 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1546420534.449 * [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))))))) 1546420534.449 * * [misc]simplify: iters left: 6 (19 enodes) 1546420534.455 * * [misc]simplify: iters left: 5 (28 enodes) 1546420534.463 * * [misc]simplify: iters left: 4 (32 enodes) 1546420534.472 * * [misc]simplify: iters left: 3 (36 enodes) 1546420534.481 * [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)))))) 1546420534.481 * [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)))))))) 1546420534.482 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420534.482 * * [misc]simplify: iters left: 6 (18 enodes) 1546420534.488 * * [misc]simplify: iters left: 5 (25 enodes) 1546420534.496 * * [misc]simplify: iters left: 4 (29 enodes) 1546420534.504 * * [misc]simplify: iters left: 3 (33 enodes) 1546420534.512 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420534.513 * [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)))))))) 1546420534.513 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1546420534.513 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420534.513 * * [misc]simplify: iters left: 6 (18 enodes) 1546420534.519 * * [misc]simplify: iters left: 5 (25 enodes) 1546420534.526 * * [misc]simplify: iters left: 4 (29 enodes) 1546420534.534 * * [misc]simplify: iters left: 3 (33 enodes) 1546420534.542 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420534.542 * [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)))))))) 1546420534.543 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420534.543 * * [misc]simplify: iters left: 6 (18 enodes) 1546420534.549 * * [misc]simplify: iters left: 5 (25 enodes) 1546420534.555 * * [misc]simplify: iters left: 4 (29 enodes) 1546420534.563 * * [misc]simplify: iters left: 3 (33 enodes) 1546420534.571 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420534.572 * [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)))))))) 1546420534.572 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1546420534.572 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420534.572 * * [misc]simplify: iters left: 6 (19 enodes) 1546420534.579 * * [misc]simplify: iters left: 5 (31 enodes) 1546420534.587 * * [misc]simplify: iters left: 4 (42 enodes) 1546420534.599 * * [misc]simplify: iters left: 3 (58 enodes) 1546420534.614 * * [misc]simplify: iters left: 2 (63 enodes) 1546420534.628 * * [misc]simplify: iters left: 1 (70 enodes) 1546420534.645 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546420534.645 * [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))))))) 1546420534.645 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420534.646 * * [misc]simplify: iters left: 6 (19 enodes) 1546420534.654 * * [misc]simplify: iters left: 5 (29 enodes) 1546420534.661 * * [misc]simplify: iters left: 4 (34 enodes) 1546420534.671 * * [misc]simplify: iters left: 3 (40 enodes) 1546420534.681 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420534.681 * [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)))))) 1546420534.681 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1546420534.682 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420534.682 * * [misc]simplify: iters left: 6 (19 enodes) 1546420534.688 * * [misc]simplify: iters left: 5 (31 enodes) 1546420534.697 * * [misc]simplify: iters left: 4 (42 enodes) 1546420534.709 * * [misc]simplify: iters left: 3 (58 enodes) 1546420534.724 * * [misc]simplify: iters left: 2 (63 enodes) 1546420534.738 * * [misc]simplify: iters left: 1 (70 enodes) 1546420534.755 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1546420534.755 * [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))))))) 1546420534.755 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420534.756 * * [misc]simplify: iters left: 6 (19 enodes) 1546420534.762 * * [misc]simplify: iters left: 5 (29 enodes) 1546420534.770 * * [misc]simplify: iters left: 4 (34 enodes) 1546420534.779 * * [misc]simplify: iters left: 3 (40 enodes) 1546420534.788 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420534.788 * [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)))))) 1546420534.789 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1546420534.789 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546420534.789 * * [misc]simplify: iters left: 6 (18 enodes) 1546420534.795 * * [misc]simplify: iters left: 5 (28 enodes) 1546420534.803 * * [misc]simplify: iters left: 4 (39 enodes) 1546420534.810 * * [misc]simplify: iters left: 3 (55 enodes) 1546420534.817 * * [misc]simplify: iters left: 2 (60 enodes) 1546420534.824 * * [misc]simplify: iters left: 1 (67 enodes) 1546420534.840 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546420534.840 * [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))))))) 1546420534.841 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420534.841 * * [misc]simplify: iters left: 6 (16 enodes) 1546420534.846 * * [misc]simplify: iters left: 5 (24 enodes) 1546420534.853 * * [misc]simplify: iters left: 4 (31 enodes) 1546420534.861 * * [misc]simplify: iters left: 3 (37 enodes) 1546420534.870 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420534.870 * [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))))))) 1546420534.870 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1546420534.871 * [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))))))) 1546420534.871 * * [misc]simplify: iters left: 6 (21 enodes) 1546420534.878 * * [misc]simplify: iters left: 5 (36 enodes) 1546420534.888 * * [misc]simplify: iters left: 4 (58 enodes) 1546420534.906 * * [misc]simplify: iters left: 3 (85 enodes) 1546420534.924 * * [misc]simplify: iters left: 2 (115 enodes) 1546420534.941 * * [misc]simplify: iters left: 1 (139 enodes) 1546420534.976 * [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)))))) 1546420534.976 * [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)))))))) 1546420534.976 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420534.976 * * [misc]simplify: iters left: 6 (19 enodes) 1546420534.983 * * [misc]simplify: iters left: 5 (28 enodes) 1546420534.991 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.000 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.005 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546420535.005 * [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))))) 1546420535.005 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1546420535.005 * [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)))))) 1546420535.006 * * [misc]simplify: iters left: 6 (20 enodes) 1546420535.009 * * [misc]simplify: iters left: 5 (31 enodes) 1546420535.013 * * [misc]simplify: iters left: 4 (42 enodes) 1546420535.020 * * [misc]simplify: iters left: 3 (58 enodes) 1546420535.029 * * [misc]simplify: iters left: 2 (63 enodes) 1546420535.043 * * [misc]simplify: iters left: 1 (70 enodes) 1546420535.060 * [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)))))) 1546420535.060 * [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)))))))) 1546420535.061 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.061 * * [misc]simplify: iters left: 6 (19 enodes) 1546420535.067 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.074 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.085 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.095 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1546420535.095 * [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))))) 1546420535.095 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1546420535.095 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546420535.096 * * [misc]simplify: iters left: 6 (16 enodes) 1546420535.101 * * [misc]simplify: iters left: 5 (26 enodes) 1546420535.109 * * [misc]simplify: iters left: 4 (41 enodes) 1546420535.121 * * [misc]simplify: iters left: 3 (63 enodes) 1546420535.139 * * [misc]simplify: iters left: 2 (129 enodes) 1546420535.182 * * [misc]simplify: iters left: 1 (190 enodes) 1546420535.199 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420535.199 * [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))))))) 1546420535.199 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420535.199 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.203 * * [misc]simplify: iters left: 5 (27 enodes) 1546420535.209 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.219 * * [misc]simplify: iters left: 3 (40 enodes) 1546420535.228 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420535.228 * [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))))))) 1546420535.228 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1546420535.228 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420535.229 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.235 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.242 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.252 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.261 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546420535.261 * [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))))))) 1546420535.262 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420535.262 * * [misc]simplify: iters left: 6 (19 enodes) 1546420535.268 * * [misc]simplify: iters left: 5 (29 enodes) 1546420535.272 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.278 * * [misc]simplify: iters left: 3 (40 enodes) 1546420535.282 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420535.283 * [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)))))) 1546420535.283 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1546420535.283 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420535.283 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.286 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.290 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.295 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.303 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1546420535.303 * [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))))))) 1546420535.303 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420535.304 * * [misc]simplify: iters left: 6 (19 enodes) 1546420535.310 * * [misc]simplify: iters left: 5 (29 enodes) 1546420535.317 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.326 * * [misc]simplify: iters left: 3 (40 enodes) 1546420535.336 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420535.336 * [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)))))) 1546420535.336 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1546420535.336 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546420535.336 * * [misc]simplify: iters left: 6 (17 enodes) 1546420535.342 * * [misc]simplify: iters left: 5 (25 enodes) 1546420535.349 * * [misc]simplify: iters left: 4 (32 enodes) 1546420535.357 * * [misc]simplify: iters left: 3 (38 enodes) 1546420535.367 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546420535.367 * [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))))))) 1546420535.367 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420535.367 * * [misc]simplify: iters left: 6 (16 enodes) 1546420535.373 * * [misc]simplify: iters left: 5 (24 enodes) 1546420535.376 * * [misc]simplify: iters left: 4 (31 enodes) 1546420535.381 * * [misc]simplify: iters left: 3 (37 enodes) 1546420535.385 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420535.385 * [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))))))) 1546420535.385 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1546420535.385 * [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))))))) 1546420535.385 * * [misc]simplify: iters left: 6 (20 enodes) 1546420535.389 * * [misc]simplify: iters left: 5 (31 enodes) 1546420535.395 * * [misc]simplify: iters left: 4 (40 enodes) 1546420535.401 * * [misc]simplify: iters left: 3 (53 enodes) 1546420535.407 * * [misc]simplify: iters left: 2 (61 enodes) 1546420535.414 * * [misc]simplify: iters left: 1 (63 enodes) 1546420535.429 * [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)))))) 1546420535.429 * [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)))))))) 1546420535.429 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.429 * * [misc]simplify: iters left: 6 (19 enodes) 1546420535.436 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.443 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.450 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.455 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420535.455 * [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))))) 1546420535.455 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1546420535.456 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.456 * * [misc]simplify: iters left: 6 (19 enodes) 1546420535.459 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.463 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.468 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.478 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420535.478 * [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)))))))) 1546420535.478 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.478 * * [misc]simplify: iters left: 6 (19 enodes) 1546420535.485 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.490 * * [misc]simplify: iters left: 4 (35 enodes) 1546420535.495 * * [misc]simplify: iters left: 3 (41 enodes) 1546420535.501 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420535.501 * [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))))) 1546420535.501 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1546420535.501 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1546420535.501 * * [misc]simplify: iters left: 6 (15 enodes) 1546420535.504 * * [misc]simplify: iters left: 5 (23 enodes) 1546420535.507 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.516 * * [misc]simplify: iters left: 3 (39 enodes) 1546420535.525 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420535.525 * [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))))))) 1546420535.525 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420535.525 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.531 * * [misc]simplify: iters left: 5 (27 enodes) 1546420535.538 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.548 * * [misc]simplify: iters left: 3 (40 enodes) 1546420535.557 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420535.557 * [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))))))) 1546420535.557 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1546420535.557 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546420535.558 * * [misc]simplify: iters left: 6 (16 enodes) 1546420535.563 * * [misc]simplify: iters left: 5 (26 enodes) 1546420535.570 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.580 * * [misc]simplify: iters left: 3 (46 enodes) 1546420535.591 * * [misc]simplify: iters left: 2 (48 enodes) 1546420535.600 * * [misc]simplify: iters left: 1 (53 enodes) 1546420535.611 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546420535.611 * [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))))))) 1546420535.612 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420535.612 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.618 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.626 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.635 * * [misc]simplify: iters left: 3 (39 enodes) 1546420535.645 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546420535.646 * [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)))))) 1546420535.646 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1546420535.646 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1546420535.646 * * [misc]simplify: iters left: 6 (16 enodes) 1546420535.652 * * [misc]simplify: iters left: 5 (26 enodes) 1546420535.658 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.668 * * [misc]simplify: iters left: 3 (46 enodes) 1546420535.679 * * [misc]simplify: iters left: 2 (48 enodes) 1546420535.686 * * [misc]simplify: iters left: 1 (53 enodes) 1546420535.691 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546420535.691 * [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))))))) 1546420535.691 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420535.692 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.695 * * [misc]simplify: iters left: 5 (28 enodes) 1546420535.698 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.703 * * [misc]simplify: iters left: 3 (39 enodes) 1546420535.708 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1546420535.708 * [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)))))) 1546420535.708 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1546420535.708 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546420535.708 * * [misc]simplify: iters left: 6 (15 enodes) 1546420535.711 * * [misc]simplify: iters left: 5 (23 enodes) 1546420535.717 * * [misc]simplify: iters left: 4 (30 enodes) 1546420535.726 * * [misc]simplify: iters left: 3 (43 enodes) 1546420535.736 * * [misc]simplify: iters left: 2 (45 enodes) 1546420535.745 * * [misc]simplify: iters left: 1 (50 enodes) 1546420535.755 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546420535.755 * [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))))))) 1546420535.756 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420535.756 * * [misc]simplify: iters left: 6 (15 enodes) 1546420535.758 * * [misc]simplify: iters left: 5 (23 enodes) 1546420535.761 * * [misc]simplify: iters left: 4 (30 enodes) 1546420535.767 * * [misc]simplify: iters left: 3 (36 enodes) 1546420535.771 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420535.771 * [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))))))) 1546420535.771 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1546420535.771 * [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))))))) 1546420535.771 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.774 * * [misc]simplify: iters left: 5 (29 enodes) 1546420535.778 * * [misc]simplify: iters left: 4 (38 enodes) 1546420535.784 * * [misc]simplify: iters left: 3 (55 enodes) 1546420535.796 * * [misc]simplify: iters left: 2 (64 enodes) 1546420535.811 * * [misc]simplify: iters left: 1 (74 enodes) 1546420535.830 * [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)))))) 1546420535.830 * [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)))))))) 1546420535.830 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.830 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.833 * * [misc]simplify: iters left: 5 (27 enodes) 1546420535.837 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.842 * * [misc]simplify: iters left: 3 (40 enodes) 1546420535.847 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420535.847 * [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)))))))) 1546420535.847 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1546420535.847 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.847 * * [misc]simplify: iters left: 6 (17 enodes) 1546420535.853 * * [misc]simplify: iters left: 5 (26 enodes) 1546420535.860 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.870 * * [misc]simplify: iters left: 3 (46 enodes) 1546420535.882 * * [misc]simplify: iters left: 2 (48 enodes) 1546420535.892 * * [misc]simplify: iters left: 1 (53 enodes) 1546420535.899 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546420535.899 * [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)))))))) 1546420535.899 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420535.900 * * [misc]simplify: iters left: 6 (18 enodes) 1546420535.903 * * [misc]simplify: iters left: 5 (27 enodes) 1546420535.906 * * [misc]simplify: iters left: 4 (34 enodes) 1546420535.911 * * [misc]simplify: iters left: 3 (40 enodes) 1546420535.916 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1546420535.916 * [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)))))))) 1546420535.916 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1546420535.916 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1546420535.916 * * [misc]simplify: iters left: 6 (13 enodes) 1546420535.918 * * [misc]simplify: iters left: 5 (18 enodes) 1546420535.921 * * [misc]simplify: iters left: 4 (26 enodes) 1546420535.925 * * [misc]simplify: iters left: 3 (30 enodes) 1546420535.932 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546420535.932 * [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))))))) 1546420535.932 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420535.932 * * [misc]simplify: iters left: 6 (17 enodes) 1546420535.938 * * [misc]simplify: iters left: 5 (26 enodes) 1546420535.945 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.954 * * [misc]simplify: iters left: 3 (39 enodes) 1546420535.961 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420535.961 * [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))))))) 1546420535.961 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1546420535.962 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1546420535.962 * * [misc]simplify: iters left: 6 (12 enodes) 1546420535.964 * * [misc]simplify: iters left: 5 (18 enodes) 1546420535.967 * * [misc]simplify: iters left: 4 (24 enodes) 1546420535.969 * * [misc]simplify: iters left: 3 (25 enodes) 1546420535.972 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546420535.972 * [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))))))) 1546420535.973 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420535.973 * * [misc]simplify: iters left: 6 (17 enodes) 1546420535.976 * * [misc]simplify: iters left: 5 (26 enodes) 1546420535.979 * * [misc]simplify: iters left: 4 (33 enodes) 1546420535.985 * * [misc]simplify: iters left: 3 (39 enodes) 1546420535.989 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420535.989 * [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))))))) 1546420535.989 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1546420535.990 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1546420535.990 * * [misc]simplify: iters left: 6 (13 enodes) 1546420535.993 * * [misc]simplify: iters left: 5 (19 enodes) 1546420535.998 * * [misc]simplify: iters left: 4 (23 enodes) 1546420536.004 * * [misc]simplify: iters left: 3 (27 enodes) 1546420536.011 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420536.011 * [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))))))) 1546420536.011 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546420536.011 * * [misc]simplify: iters left: 6 (16 enodes) 1546420536.017 * * [misc]simplify: iters left: 5 (25 enodes) 1546420536.024 * * [misc]simplify: iters left: 4 (32 enodes) 1546420536.033 * * [misc]simplify: iters left: 3 (45 enodes) 1546420536.045 * * [misc]simplify: iters left: 2 (47 enodes) 1546420536.053 * * [misc]simplify: iters left: 1 (52 enodes) 1546420536.065 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1546420536.065 * [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))))))) 1546420536.065 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1546420536.065 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1546420536.065 * * [misc]simplify: iters left: 6 (17 enodes) 1546420536.071 * * [misc]simplify: iters left: 5 (27 enodes) 1546420536.079 * * [misc]simplify: iters left: 4 (34 enodes) 1546420536.088 * * [misc]simplify: iters left: 3 (40 enodes) 1546420536.098 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1546420536.098 * [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))))) 1546420536.098 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1546420536.098 * * [misc]simplify: iters left: 6 (15 enodes) 1546420536.104 * * [misc]simplify: iters left: 5 (22 enodes) 1546420536.110 * * [misc]simplify: iters left: 4 (26 enodes) 1546420536.117 * * [misc]simplify: iters left: 3 (30 enodes) 1546420536.124 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1546420536.124 * [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))))) 1546420536.124 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1546420536.125 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420536.125 * * [misc]simplify: iters left: 6 (14 enodes) 1546420536.129 * * [misc]simplify: iters left: 5 (21 enodes) 1546420536.135 * * [misc]simplify: iters left: 4 (24 enodes) 1546420536.143 * [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)))))) 1546420536.143 * [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)))))))) 1546420536.144 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420536.144 * * [misc]simplify: iters left: 6 (17 enodes) 1546420536.150 * * [misc]simplify: iters left: 5 (26 enodes) 1546420536.157 * * [misc]simplify: iters left: 4 (33 enodes) 1546420536.167 * * [misc]simplify: iters left: 3 (45 enodes) 1546420536.180 * * [misc]simplify: iters left: 2 (70 enodes) 1546420536.198 * * [misc]simplify: iters left: 1 (91 enodes) 1546420536.214 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420536.214 * [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)))))))) 1546420536.214 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1546420536.214 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420536.214 * * [misc]simplify: iters left: 6 (13 enodes) 1546420536.216 * * [misc]simplify: iters left: 5 (18 enodes) 1546420536.219 * * [misc]simplify: iters left: 4 (21 enodes) 1546420536.221 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420536.222 * [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)))))))) 1546420536.222 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420536.222 * * [misc]simplify: iters left: 6 (17 enodes) 1546420536.226 * * [misc]simplify: iters left: 5 (26 enodes) 1546420536.233 * * [misc]simplify: iters left: 4 (33 enodes) 1546420536.243 * * [misc]simplify: iters left: 3 (45 enodes) 1546420536.255 * * [misc]simplify: iters left: 2 (70 enodes) 1546420536.268 * * [misc]simplify: iters left: 1 (91 enodes) 1546420536.283 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420536.283 * [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)))))))) 1546420536.283 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1546420536.283 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420536.283 * * [misc]simplify: iters left: 6 (12 enodes) 1546420536.285 * * [misc]simplify: iters left: 5 (20 enodes) 1546420536.288 * * [misc]simplify: iters left: 4 (27 enodes) 1546420536.292 * * [misc]simplify: iters left: 3 (37 enodes) 1546420536.298 * * [misc]simplify: iters left: 2 (64 enodes) 1546420536.310 * * [misc]simplify: iters left: 1 (93 enodes) 1546420536.328 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420536.328 * [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))))))) 1546420536.329 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420536.329 * * [misc]simplify: iters left: 6 (18 enodes) 1546420536.333 * * [misc]simplify: iters left: 5 (30 enodes) 1546420536.337 * * [misc]simplify: iters left: 4 (41 enodes) 1546420536.344 * * [misc]simplify: iters left: 3 (76 enodes) 1546420536.358 * * [misc]simplify: iters left: 2 (142 enodes) 1546420536.413 * * [misc]simplify: iters left: 1 (391 enodes) 1546420536.684 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420536.684 * [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))))))) 1546420536.684 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1546420536.684 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420536.684 * * [misc]simplify: iters left: 6 (12 enodes) 1546420536.688 * * [misc]simplify: iters left: 5 (20 enodes) 1546420536.692 * * [misc]simplify: iters left: 4 (27 enodes) 1546420536.696 * * [misc]simplify: iters left: 3 (37 enodes) 1546420536.703 * * [misc]simplify: iters left: 2 (64 enodes) 1546420536.713 * * [misc]simplify: iters left: 1 (93 enodes) 1546420536.739 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420536.740 * [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))))))) 1546420536.740 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420536.740 * * [misc]simplify: iters left: 6 (18 enodes) 1546420536.746 * * [misc]simplify: iters left: 5 (30 enodes) 1546420536.755 * * [misc]simplify: iters left: 4 (41 enodes) 1546420536.764 * * [misc]simplify: iters left: 3 (76 enodes) 1546420536.777 * * [misc]simplify: iters left: 2 (142 enodes) 1546420536.838 * * [misc]simplify: iters left: 1 (391 enodes) 1546420537.119 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420537.119 * [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))))))) 1546420537.119 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1546420537.119 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546420537.119 * * [misc]simplify: iters left: 6 (13 enodes) 1546420537.121 * * [misc]simplify: iters left: 5 (21 enodes) 1546420537.124 * * [misc]simplify: iters left: 4 (31 enodes) 1546420537.129 * * [misc]simplify: iters left: 3 (51 enodes) 1546420537.138 * * [misc]simplify: iters left: 2 (90 enodes) 1546420537.157 * * [misc]simplify: iters left: 1 (181 enodes) 1546420537.215 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420537.215 * [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))))))) 1546420537.216 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420537.216 * * [misc]simplify: iters left: 6 (15 enodes) 1546420537.218 * * [misc]simplify: iters left: 5 (25 enodes) 1546420537.222 * * [misc]simplify: iters left: 4 (38 enodes) 1546420537.228 * * [misc]simplify: iters left: 3 (73 enodes) 1546420537.243 * * [misc]simplify: iters left: 2 (139 enodes) 1546420537.305 * * [misc]simplify: iters left: 1 (375 enodes) 1546420537.604 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546420537.604 * [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)))))) 1546420537.605 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1546420537.605 * [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))))))) 1546420537.605 * * [misc]simplify: iters left: 6 (16 enodes) 1546420537.610 * * [misc]simplify: iters left: 5 (29 enodes) 1546420537.618 * * [misc]simplify: iters left: 4 (50 enodes) 1546420537.635 * * [misc]simplify: iters left: 3 (70 enodes) 1546420537.648 * * [misc]simplify: iters left: 2 (169 enodes) 1546420537.733 * [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)))) 1546420537.734 * [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)))))))) 1546420537.734 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420537.734 * * [misc]simplify: iters left: 6 (18 enodes) 1546420537.738 * * [misc]simplify: iters left: 5 (29 enodes) 1546420537.742 * * [misc]simplify: iters left: 4 (42 enodes) 1546420537.749 * * [misc]simplify: iters left: 3 (77 enodes) 1546420537.763 * * [misc]simplify: iters left: 2 (143 enodes) 1546420537.835 * * [misc]simplify: iters left: 1 (394 enodes) 1546420538.154 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546420538.154 * [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)))))) 1546420538.154 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1546420538.154 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420538.154 * * [misc]simplify: iters left: 6 (15 enodes) 1546420538.159 * * [misc]simplify: iters left: 5 (24 enodes) 1546420538.166 * * [misc]simplify: iters left: 4 (34 enodes) 1546420538.176 * * [misc]simplify: iters left: 3 (54 enodes) 1546420538.196 * * [misc]simplify: iters left: 2 (93 enodes) 1546420538.225 * * [misc]simplify: iters left: 1 (182 enodes) 1546420538.288 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420538.288 * [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)))))))) 1546420538.288 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420538.288 * * [misc]simplify: iters left: 6 (18 enodes) 1546420538.291 * * [misc]simplify: iters left: 5 (29 enodes) 1546420538.299 * * [misc]simplify: iters left: 4 (42 enodes) 1546420538.314 * * [misc]simplify: iters left: 3 (77 enodes) 1546420538.331 * * [misc]simplify: iters left: 2 (143 enodes) 1546420538.410 * * [misc]simplify: iters left: 1 (394 enodes) 1546420538.733 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546420538.734 * [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)))))) 1546420538.734 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1546420538.734 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546420538.734 * * [misc]simplify: iters left: 6 (7 enodes) 1546420538.737 * * [misc]simplify: iters left: 5 (13 enodes) 1546420538.741 * * [misc]simplify: iters left: 4 (22 enodes) 1546420538.745 * * [misc]simplify: iters left: 3 (24 enodes) 1546420538.747 * * [misc]simplify: iters left: 2 (29 enodes) 1546420538.750 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546420538.751 * [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))))))) 1546420538.751 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420538.751 * * [misc]simplify: iters left: 6 (17 enodes) 1546420538.754 * * [misc]simplify: iters left: 5 (28 enodes) 1546420538.758 * * [misc]simplify: iters left: 4 (41 enodes) 1546420538.765 * * [misc]simplify: iters left: 3 (76 enodes) 1546420538.778 * * [misc]simplify: iters left: 2 (142 enodes) 1546420538.840 * * [misc]simplify: iters left: 1 (380 enodes) 1546420539.200 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420539.200 * [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))))))) 1546420539.200 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1546420539.200 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420539.200 * * [misc]simplify: iters left: 6 (11 enodes) 1546420539.202 * * [misc]simplify: iters left: 5 (17 enodes) 1546420539.204 * * [misc]simplify: iters left: 4 (20 enodes) 1546420539.207 * * [misc]simplify: iters left: 3 (22 enodes) 1546420539.213 * * [misc]simplify: iters left: 2 (34 enodes) 1546420539.222 * * [misc]simplify: iters left: 1 (42 enodes) 1546420539.230 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546420539.231 * [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))))))) 1546420539.231 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420539.231 * * [misc]simplify: iters left: 6 (18 enodes) 1546420539.238 * * [misc]simplify: iters left: 5 (30 enodes) 1546420539.246 * * [misc]simplify: iters left: 4 (41 enodes) 1546420539.259 * * [misc]simplify: iters left: 3 (76 enodes) 1546420539.274 * * [misc]simplify: iters left: 2 (142 enodes) 1546420539.352 * * [misc]simplify: iters left: 1 (391 enodes) 1546420539.641 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420539.641 * [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))))))) 1546420539.641 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1546420539.641 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420539.641 * * [misc]simplify: iters left: 6 (11 enodes) 1546420539.643 * * [misc]simplify: iters left: 5 (17 enodes) 1546420539.645 * * [misc]simplify: iters left: 4 (20 enodes) 1546420539.647 * * [misc]simplify: iters left: 3 (22 enodes) 1546420539.651 * * [misc]simplify: iters left: 2 (34 enodes) 1546420539.657 * * [misc]simplify: iters left: 1 (42 enodes) 1546420539.662 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546420539.662 * [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))))))) 1546420539.662 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420539.662 * * [misc]simplify: iters left: 6 (18 enodes) 1546420539.667 * * [misc]simplify: iters left: 5 (30 enodes) 1546420539.675 * * [misc]simplify: iters left: 4 (41 enodes) 1546420539.688 * * [misc]simplify: iters left: 3 (76 enodes) 1546420539.709 * * [misc]simplify: iters left: 2 (142 enodes) 1546420539.792 * * [misc]simplify: iters left: 1 (391 enodes) 1546420540.125 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420540.126 * [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))))))) 1546420540.126 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1546420540.126 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546420540.126 * * [misc]simplify: iters left: 6 (12 enodes) 1546420540.128 * * [misc]simplify: iters left: 5 (18 enodes) 1546420540.130 * * [misc]simplify: iters left: 4 (24 enodes) 1546420540.133 * * [misc]simplify: iters left: 3 (32 enodes) 1546420540.138 * * [misc]simplify: iters left: 2 (41 enodes) 1546420540.143 * * [misc]simplify: iters left: 1 (51 enodes) 1546420540.149 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420540.149 * [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))))))) 1546420540.150 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420540.150 * * [misc]simplify: iters left: 6 (15 enodes) 1546420540.156 * * [misc]simplify: iters left: 5 (25 enodes) 1546420540.163 * * [misc]simplify: iters left: 4 (38 enodes) 1546420540.175 * * [misc]simplify: iters left: 3 (73 enodes) 1546420540.189 * * [misc]simplify: iters left: 2 (139 enodes) 1546420540.250 * * [misc]simplify: iters left: 1 (375 enodes) 1546420540.469 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546420540.469 * [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)))))) 1546420540.469 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1546420540.469 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420540.469 * * [misc]simplify: iters left: 6 (15 enodes) 1546420540.473 * * [misc]simplify: iters left: 5 (24 enodes) 1546420540.476 * * [misc]simplify: iters left: 4 (32 enodes) 1546420540.481 * * [misc]simplify: iters left: 3 (43 enodes) 1546420540.487 * * [misc]simplify: iters left: 2 (69 enodes) 1546420540.499 * * [misc]simplify: iters left: 1 (119 enodes) 1546420540.528 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420540.528 * [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)))))))) 1546420540.529 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420540.529 * * [misc]simplify: iters left: 6 (18 enodes) 1546420540.535 * * [misc]simplify: iters left: 5 (29 enodes) 1546420540.543 * * [misc]simplify: iters left: 4 (42 enodes) 1546420540.557 * * [misc]simplify: iters left: 3 (77 enodes) 1546420540.579 * * [misc]simplify: iters left: 2 (143 enodes) 1546420540.642 * * [misc]simplify: iters left: 1 (394 enodes) 1546420540.893 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546420540.893 * [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)))))) 1546420540.893 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1546420540.893 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420540.893 * * [misc]simplify: iters left: 6 (14 enodes) 1546420540.895 * * [misc]simplify: iters left: 5 (21 enodes) 1546420540.898 * * [misc]simplify: iters left: 4 (27 enodes) 1546420540.902 * * [misc]simplify: iters left: 3 (35 enodes) 1546420540.909 * * [misc]simplify: iters left: 2 (43 enodes) 1546420540.914 * * [misc]simplify: iters left: 1 (56 enodes) 1546420540.921 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420540.921 * [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)))))))) 1546420540.922 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420540.922 * * [misc]simplify: iters left: 6 (18 enodes) 1546420540.925 * * [misc]simplify: iters left: 5 (29 enodes) 1546420540.929 * * [misc]simplify: iters left: 4 (42 enodes) 1546420540.936 * * [misc]simplify: iters left: 3 (77 enodes) 1546420540.961 * * [misc]simplify: iters left: 2 (143 enodes) 1546420541.015 * * [misc]simplify: iters left: 1 (394 enodes) 1546420541.261 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546420541.261 * [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)))))) 1546420541.261 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1546420541.261 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546420541.262 * * [misc]simplify: iters left: 6 (6 enodes) 1546420541.262 * * [misc]simplify: iters left: 5 (10 enodes) 1546420541.264 * * [misc]simplify: iters left: 4 (16 enodes) 1546420541.266 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546420541.266 * [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))))))) 1546420541.266 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420541.266 * * [misc]simplify: iters left: 6 (17 enodes) 1546420541.269 * * [misc]simplify: iters left: 5 (28 enodes) 1546420541.273 * * [misc]simplify: iters left: 4 (41 enodes) 1546420541.280 * * [misc]simplify: iters left: 3 (76 enodes) 1546420541.294 * * [misc]simplify: iters left: 2 (142 enodes) 1546420541.367 * * [misc]simplify: iters left: 1 (380 enodes) 1546420541.756 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420541.757 * [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))))))) 1546420541.757 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1546420541.757 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546420541.757 * * [misc]simplify: iters left: 6 (8 enodes) 1546420541.760 * * [misc]simplify: iters left: 5 (14 enodes) 1546420541.763 * * [misc]simplify: iters left: 4 (15 enodes) 1546420541.770 * * [misc]simplify: iters left: 3 (19 enodes) 1546420541.774 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546420541.774 * [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))))))) 1546420541.775 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420541.775 * * [misc]simplify: iters left: 6 (17 enodes) 1546420541.781 * * [misc]simplify: iters left: 5 (29 enodes) 1546420541.789 * * [misc]simplify: iters left: 4 (40 enodes) 1546420541.801 * * [misc]simplify: iters left: 3 (75 enodes) 1546420541.824 * * [misc]simplify: iters left: 2 (141 enodes) 1546420541.908 * * [misc]simplify: iters left: 1 (379 enodes) 1546420542.168 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420542.168 * [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)))) 1546420542.169 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1546420542.170 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546420542.170 * * [misc]simplify: iters left: 6 (8 enodes) 1546420542.172 * * [misc]simplify: iters left: 5 (14 enodes) 1546420542.174 * * [misc]simplify: iters left: 4 (15 enodes) 1546420542.176 * * [misc]simplify: iters left: 3 (19 enodes) 1546420542.178 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546420542.178 * [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))))))) 1546420542.178 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420542.179 * * [misc]simplify: iters left: 6 (17 enodes) 1546420542.182 * * [misc]simplify: iters left: 5 (29 enodes) 1546420542.186 * * [misc]simplify: iters left: 4 (40 enodes) 1546420542.193 * * [misc]simplify: iters left: 3 (75 enodes) 1546420542.207 * * [misc]simplify: iters left: 2 (141 enodes) 1546420542.277 * * [misc]simplify: iters left: 1 (379 enodes) 1546420542.546 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420542.546 * [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)))) 1546420542.546 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1546420542.546 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546420542.547 * * [misc]simplify: iters left: 6 (10 enodes) 1546420542.550 * * [misc]simplify: iters left: 5 (16 enodes) 1546420542.554 * * [misc]simplify: iters left: 4 (20 enodes) 1546420542.560 * * [misc]simplify: iters left: 3 (24 enodes) 1546420542.565 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546420542.565 * [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))))))) 1546420542.565 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420542.566 * * [misc]simplify: iters left: 6 (14 enodes) 1546420542.570 * * [misc]simplify: iters left: 5 (24 enodes) 1546420542.578 * * [misc]simplify: iters left: 4 (37 enodes) 1546420542.590 * * [misc]simplify: iters left: 3 (72 enodes) 1546420542.616 * * [misc]simplify: iters left: 2 (138 enodes) 1546420542.686 * * [misc]simplify: iters left: 1 (391 enodes) 1546420543.023 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546420543.023 * [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)))) 1546420543.023 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1546420543.024 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420543.024 * * [misc]simplify: iters left: 6 (13 enodes) 1546420543.029 * * [misc]simplify: iters left: 5 (22 enodes) 1546420543.034 * * [misc]simplify: iters left: 4 (26 enodes) 1546420543.042 * * [misc]simplify: iters left: 3 (32 enodes) 1546420543.049 * * [misc]simplify: iters left: 2 (34 enodes) 1546420543.057 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420543.057 * [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)))))))) 1546420543.057 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420543.058 * * [misc]simplify: iters left: 6 (17 enodes) 1546420543.063 * * [misc]simplify: iters left: 5 (28 enodes) 1546420543.071 * * [misc]simplify: iters left: 4 (41 enodes) 1546420543.085 * * [misc]simplify: iters left: 3 (76 enodes) 1546420543.114 * * [misc]simplify: iters left: 2 (142 enodes) 1546420543.207 * * [misc]simplify: iters left: 1 (382 enodes) 1546420543.520 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546420543.520 * [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))))))) 1546420543.520 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1546420543.521 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420543.521 * * [misc]simplify: iters left: 6 (12 enodes) 1546420543.523 * * [misc]simplify: iters left: 5 (19 enodes) 1546420543.525 * * [misc]simplify: iters left: 4 (23 enodes) 1546420543.529 * * [misc]simplify: iters left: 3 (27 enodes) 1546420543.532 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546420543.532 * [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)))))))) 1546420543.533 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420543.533 * * [misc]simplify: iters left: 6 (17 enodes) 1546420543.537 * * [misc]simplify: iters left: 5 (28 enodes) 1546420543.543 * * [misc]simplify: iters left: 4 (41 enodes) 1546420543.557 * * [misc]simplify: iters left: 3 (76 enodes) 1546420543.576 * * [misc]simplify: iters left: 2 (142 enodes) 1546420543.623 * * [misc]simplify: iters left: 1 (382 enodes) 1546420543.981 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546420543.981 * [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))))))) 1546420543.981 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1546420543.982 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546420543.982 * * [misc]simplify: iters left: 4 (3 enodes) 1546420543.982 * * [misc]simplify: iters left: 3 (5 enodes) 1546420543.983 * [exit]simplify: Simplified to 1 1546420543.983 * [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))))))) 1546420543.983 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420543.983 * * [misc]simplify: iters left: 6 (16 enodes) 1546420543.986 * * [misc]simplify: iters left: 5 (27 enodes) 1546420543.990 * * [misc]simplify: iters left: 4 (40 enodes) 1546420543.996 * * [misc]simplify: iters left: 3 (75 enodes) 1546420544.012 * * [misc]simplify: iters left: 2 (141 enodes) 1546420544.097 * * [misc]simplify: iters left: 1 (376 enodes) 1546420544.445 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546420544.445 * [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)))))) 1546420544.445 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1546420544.445 * [enter]simplify: Simplifying (/ 1 1) 1546420544.446 * * [misc]simplify: iters left: 2 (2 enodes) 1546420544.446 * * [misc]simplify: iters left: 1 (4 enodes) 1546420544.447 * [exit]simplify: Simplified to 1 1546420544.447 * [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))))))) 1546420544.447 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420544.448 * * [misc]simplify: iters left: 6 (16 enodes) 1546420544.454 * * [misc]simplify: iters left: 5 (27 enodes) 1546420544.460 * * [misc]simplify: iters left: 4 (40 enodes) 1546420544.472 * * [misc]simplify: iters left: 3 (75 enodes) 1546420544.496 * * [misc]simplify: iters left: 2 (141 enodes) 1546420544.589 * * [misc]simplify: iters left: 1 (376 enodes) 1546420544.878 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546420544.878 * [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)))))) 1546420544.878 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1546420544.878 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546420544.878 * * [misc]simplify: iters left: 3 (4 enodes) 1546420544.879 * * [misc]simplify: iters left: 2 (6 enodes) 1546420544.883 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546420544.883 * [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))))))) 1546420544.883 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546420544.884 * * [misc]simplify: iters left: 6 (15 enodes) 1546420544.889 * * [misc]simplify: iters left: 5 (26 enodes) 1546420544.897 * * [misc]simplify: iters left: 4 (35 enodes) 1546420544.908 * * [misc]simplify: iters left: 3 (61 enodes) 1546420544.930 * * [misc]simplify: iters left: 2 (82 enodes) 1546420544.955 * * [misc]simplify: iters left: 1 (85 enodes) 1546420544.975 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546420544.975 * [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)))))) 1546420544.975 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1546420544.975 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546420544.975 * * [misc]simplify: iters left: 6 (10 enodes) 1546420544.978 * * [misc]simplify: iters left: 5 (16 enodes) 1546420544.981 * * [misc]simplify: iters left: 4 (19 enodes) 1546420544.983 * * [misc]simplify: iters left: 3 (21 enodes) 1546420544.986 * * [misc]simplify: iters left: 2 (33 enodes) 1546420544.991 * * [misc]simplify: iters left: 1 (41 enodes) 1546420544.995 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546420544.995 * [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))))) 1546420544.995 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546420544.995 * * [misc]simplify: iters left: 6 (14 enodes) 1546420544.998 * * [misc]simplify: iters left: 5 (23 enodes) 1546420545.001 * * [misc]simplify: iters left: 4 (30 enodes) 1546420545.007 * * [misc]simplify: iters left: 3 (42 enodes) 1546420545.013 * * [misc]simplify: iters left: 2 (67 enodes) 1546420545.025 * * [misc]simplify: iters left: 1 (88 enodes) 1546420545.039 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546420545.039 * [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))))) 1546420545.039 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1546420545.039 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420545.039 * * [misc]simplify: iters left: 6 (14 enodes) 1546420545.041 * * [misc]simplify: iters left: 5 (21 enodes) 1546420545.044 * * [misc]simplify: iters left: 4 (24 enodes) 1546420545.047 * [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)))))) 1546420545.047 * [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)))))))) 1546420545.047 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420545.048 * * [misc]simplify: iters left: 6 (17 enodes) 1546420545.051 * * [misc]simplify: iters left: 5 (26 enodes) 1546420545.054 * * [misc]simplify: iters left: 4 (33 enodes) 1546420545.059 * * [misc]simplify: iters left: 3 (45 enodes) 1546420545.066 * * [misc]simplify: iters left: 2 (70 enodes) 1546420545.078 * * [misc]simplify: iters left: 1 (91 enodes) 1546420545.102 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420545.102 * [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)))))))) 1546420545.102 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1546420545.102 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420545.102 * * [misc]simplify: iters left: 6 (13 enodes) 1546420545.106 * * [misc]simplify: iters left: 5 (18 enodes) 1546420545.112 * * [misc]simplify: iters left: 4 (21 enodes) 1546420545.118 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420545.118 * [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)))))))) 1546420545.118 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420545.118 * * [misc]simplify: iters left: 6 (17 enodes) 1546420545.124 * * [misc]simplify: iters left: 5 (26 enodes) 1546420545.132 * * [misc]simplify: iters left: 4 (33 enodes) 1546420545.142 * * [misc]simplify: iters left: 3 (45 enodes) 1546420545.155 * * [misc]simplify: iters left: 2 (70 enodes) 1546420545.180 * * [misc]simplify: iters left: 1 (91 enodes) 1546420545.212 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420545.212 * [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)))))))) 1546420545.212 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1546420545.212 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420545.212 * * [misc]simplify: iters left: 6 (12 enodes) 1546420545.216 * * [misc]simplify: iters left: 5 (20 enodes) 1546420545.223 * * [misc]simplify: iters left: 4 (27 enodes) 1546420545.231 * * [misc]simplify: iters left: 3 (37 enodes) 1546420545.247 * * [misc]simplify: iters left: 2 (64 enodes) 1546420545.267 * * [misc]simplify: iters left: 1 (93 enodes) 1546420545.295 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420545.295 * [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))))))) 1546420545.295 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420545.295 * * [misc]simplify: iters left: 6 (18 enodes) 1546420545.298 * * [misc]simplify: iters left: 5 (30 enodes) 1546420545.303 * * [misc]simplify: iters left: 4 (41 enodes) 1546420545.310 * * [misc]simplify: iters left: 3 (76 enodes) 1546420545.335 * * [misc]simplify: iters left: 2 (142 enodes) 1546420545.427 * * [misc]simplify: iters left: 1 (391 enodes) 1546420545.649 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420545.649 * [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))))))) 1546420545.649 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1546420545.650 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420545.650 * * [misc]simplify: iters left: 6 (12 enodes) 1546420545.652 * * [misc]simplify: iters left: 5 (20 enodes) 1546420545.654 * * [misc]simplify: iters left: 4 (27 enodes) 1546420545.659 * * [misc]simplify: iters left: 3 (37 enodes) 1546420545.666 * * [misc]simplify: iters left: 2 (64 enodes) 1546420545.676 * * [misc]simplify: iters left: 1 (93 enodes) 1546420545.691 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420545.691 * [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))))))) 1546420545.691 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420545.691 * * [misc]simplify: iters left: 6 (18 enodes) 1546420545.695 * * [misc]simplify: iters left: 5 (30 enodes) 1546420545.702 * * [misc]simplify: iters left: 4 (41 enodes) 1546420545.716 * * [misc]simplify: iters left: 3 (76 enodes) 1546420545.744 * * [misc]simplify: iters left: 2 (142 enodes) 1546420545.845 * * [misc]simplify: iters left: 1 (391 enodes) 1546420546.164 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420546.164 * [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))))))) 1546420546.164 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1546420546.164 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546420546.164 * * [misc]simplify: iters left: 6 (13 enodes) 1546420546.168 * * [misc]simplify: iters left: 5 (21 enodes) 1546420546.175 * * [misc]simplify: iters left: 4 (31 enodes) 1546420546.184 * * [misc]simplify: iters left: 3 (51 enodes) 1546420546.202 * * [misc]simplify: iters left: 2 (90 enodes) 1546420546.227 * * [misc]simplify: iters left: 1 (181 enodes) 1546420546.277 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420546.277 * [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))))))) 1546420546.278 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420546.278 * * [misc]simplify: iters left: 6 (15 enodes) 1546420546.284 * * [misc]simplify: iters left: 5 (25 enodes) 1546420546.291 * * [misc]simplify: iters left: 4 (38 enodes) 1546420546.302 * * [misc]simplify: iters left: 3 (73 enodes) 1546420546.315 * * [misc]simplify: iters left: 2 (139 enodes) 1546420546.372 * * [misc]simplify: iters left: 1 (375 enodes) 1546420546.659 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546420546.659 * [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)))))) 1546420546.659 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1546420546.659 * [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))))))) 1546420546.660 * * [misc]simplify: iters left: 6 (16 enodes) 1546420546.665 * * [misc]simplify: iters left: 5 (29 enodes) 1546420546.674 * * [misc]simplify: iters left: 4 (50 enodes) 1546420546.688 * * [misc]simplify: iters left: 3 (70 enodes) 1546420546.701 * * [misc]simplify: iters left: 2 (169 enodes) 1546420546.790 * [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)))) 1546420546.791 * [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)))))))) 1546420546.791 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420546.791 * * [misc]simplify: iters left: 6 (18 enodes) 1546420546.797 * * [misc]simplify: iters left: 5 (29 enodes) 1546420546.805 * * [misc]simplify: iters left: 4 (42 enodes) 1546420546.819 * * [misc]simplify: iters left: 3 (77 enodes) 1546420546.847 * * [misc]simplify: iters left: 2 (143 enodes) 1546420546.949 * * [misc]simplify: iters left: 1 (394 enodes) 1546420547.237 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546420547.237 * [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)))))) 1546420547.237 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1546420547.237 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420547.237 * * [misc]simplify: iters left: 6 (15 enodes) 1546420547.241 * * [misc]simplify: iters left: 5 (24 enodes) 1546420547.248 * * [misc]simplify: iters left: 4 (34 enodes) 1546420547.259 * * [misc]simplify: iters left: 3 (54 enodes) 1546420547.279 * * [misc]simplify: iters left: 2 (93 enodes) 1546420547.311 * * [misc]simplify: iters left: 1 (182 enodes) 1546420547.395 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420547.395 * [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)))))))) 1546420547.395 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420547.395 * * [misc]simplify: iters left: 6 (18 enodes) 1546420547.399 * * [misc]simplify: iters left: 5 (29 enodes) 1546420547.403 * * [misc]simplify: iters left: 4 (42 enodes) 1546420547.410 * * [misc]simplify: iters left: 3 (77 enodes) 1546420547.426 * * [misc]simplify: iters left: 2 (143 enodes) 1546420547.515 * * [misc]simplify: iters left: 1 (394 enodes) 1546420547.868 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546420547.868 * [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)))))) 1546420547.868 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1546420547.869 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546420547.869 * * [misc]simplify: iters left: 6 (7 enodes) 1546420547.871 * * [misc]simplify: iters left: 5 (13 enodes) 1546420547.876 * * [misc]simplify: iters left: 4 (22 enodes) 1546420547.881 * * [misc]simplify: iters left: 3 (24 enodes) 1546420547.884 * * [misc]simplify: iters left: 2 (29 enodes) 1546420547.890 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546420547.890 * [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))))))) 1546420547.890 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420547.890 * * [misc]simplify: iters left: 6 (17 enodes) 1546420547.893 * * [misc]simplify: iters left: 5 (28 enodes) 1546420547.897 * * [misc]simplify: iters left: 4 (41 enodes) 1546420547.905 * * [misc]simplify: iters left: 3 (76 enodes) 1546420547.922 * * [misc]simplify: iters left: 2 (142 enodes) 1546420547.971 * * [misc]simplify: iters left: 1 (380 enodes) 1546420548.272 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420548.272 * [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))))))) 1546420548.272 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1546420548.273 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420548.273 * * [misc]simplify: iters left: 6 (11 enodes) 1546420548.274 * * [misc]simplify: iters left: 5 (17 enodes) 1546420548.276 * * [misc]simplify: iters left: 4 (20 enodes) 1546420548.279 * * [misc]simplify: iters left: 3 (22 enodes) 1546420548.287 * * [misc]simplify: iters left: 2 (34 enodes) 1546420548.296 * * [misc]simplify: iters left: 1 (42 enodes) 1546420548.305 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546420548.305 * [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))))))) 1546420548.305 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420548.305 * * [misc]simplify: iters left: 6 (18 enodes) 1546420548.311 * * [misc]simplify: iters left: 5 (30 enodes) 1546420548.319 * * [misc]simplify: iters left: 4 (41 enodes) 1546420548.336 * * [misc]simplify: iters left: 3 (76 enodes) 1546420548.363 * * [misc]simplify: iters left: 2 (142 enodes) 1546420548.468 * * [misc]simplify: iters left: 1 (391 enodes) 1546420548.740 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420548.740 * [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))))))) 1546420548.740 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1546420548.741 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420548.741 * * [misc]simplify: iters left: 6 (11 enodes) 1546420548.742 * * [misc]simplify: iters left: 5 (17 enodes) 1546420548.744 * * [misc]simplify: iters left: 4 (20 enodes) 1546420548.747 * * [misc]simplify: iters left: 3 (22 enodes) 1546420548.750 * * [misc]simplify: iters left: 2 (34 enodes) 1546420548.759 * * [misc]simplify: iters left: 1 (42 enodes) 1546420548.768 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546420548.768 * [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))))))) 1546420548.768 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420548.768 * * [misc]simplify: iters left: 6 (18 enodes) 1546420548.775 * * [misc]simplify: iters left: 5 (30 enodes) 1546420548.783 * * [misc]simplify: iters left: 4 (41 enodes) 1546420548.797 * * [misc]simplify: iters left: 3 (76 enodes) 1546420548.825 * * [misc]simplify: iters left: 2 (142 enodes) 1546420548.906 * * [misc]simplify: iters left: 1 (391 enodes) 1546420549.241 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420549.241 * [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))))))) 1546420549.241 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1546420549.242 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546420549.242 * * [misc]simplify: iters left: 6 (12 enodes) 1546420549.243 * * [misc]simplify: iters left: 5 (18 enodes) 1546420549.246 * * [misc]simplify: iters left: 4 (24 enodes) 1546420549.249 * * [misc]simplify: iters left: 3 (32 enodes) 1546420549.254 * * [misc]simplify: iters left: 2 (41 enodes) 1546420549.259 * * [misc]simplify: iters left: 1 (51 enodes) 1546420549.265 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420549.265 * [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))))))) 1546420549.265 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420549.265 * * [misc]simplify: iters left: 6 (15 enodes) 1546420549.268 * * [misc]simplify: iters left: 5 (25 enodes) 1546420549.272 * * [misc]simplify: iters left: 4 (38 enodes) 1546420549.285 * * [misc]simplify: iters left: 3 (73 enodes) 1546420549.310 * * [misc]simplify: iters left: 2 (139 enodes) 1546420549.377 * * [misc]simplify: iters left: 1 (375 enodes) 1546420549.602 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1546420549.602 * [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)))))) 1546420549.602 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1546420549.602 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420549.602 * * [misc]simplify: iters left: 6 (15 enodes) 1546420549.604 * * [misc]simplify: iters left: 5 (24 enodes) 1546420549.608 * * [misc]simplify: iters left: 4 (32 enodes) 1546420549.612 * * [misc]simplify: iters left: 3 (43 enodes) 1546420549.623 * * [misc]simplify: iters left: 2 (69 enodes) 1546420549.646 * * [misc]simplify: iters left: 1 (119 enodes) 1546420549.705 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420549.706 * [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)))))))) 1546420549.706 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420549.706 * * [misc]simplify: iters left: 6 (18 enodes) 1546420549.712 * * [misc]simplify: iters left: 5 (29 enodes) 1546420549.720 * * [misc]simplify: iters left: 4 (42 enodes) 1546420549.731 * * [misc]simplify: iters left: 3 (77 enodes) 1546420549.744 * * [misc]simplify: iters left: 2 (143 enodes) 1546420549.795 * * [misc]simplify: iters left: 1 (394 enodes) 1546420550.058 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546420550.059 * [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)))))) 1546420550.059 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1546420550.059 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420550.059 * * [misc]simplify: iters left: 6 (14 enodes) 1546420550.063 * * [misc]simplify: iters left: 5 (21 enodes) 1546420550.069 * * [misc]simplify: iters left: 4 (27 enodes) 1546420550.076 * * [misc]simplify: iters left: 3 (35 enodes) 1546420550.086 * * [misc]simplify: iters left: 2 (43 enodes) 1546420550.096 * * [misc]simplify: iters left: 1 (56 enodes) 1546420550.110 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420550.110 * [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)))))))) 1546420550.110 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420550.111 * * [misc]simplify: iters left: 6 (18 enodes) 1546420550.117 * * [misc]simplify: iters left: 5 (29 enodes) 1546420550.125 * * [misc]simplify: iters left: 4 (42 enodes) 1546420550.139 * * [misc]simplify: iters left: 3 (77 enodes) 1546420550.169 * * [misc]simplify: iters left: 2 (143 enodes) 1546420550.266 * * [misc]simplify: iters left: 1 (394 enodes) 1546420550.515 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546420550.515 * [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)))))) 1546420550.516 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1546420550.516 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1546420550.516 * * [misc]simplify: iters left: 6 (6 enodes) 1546420550.518 * * [misc]simplify: iters left: 5 (10 enodes) 1546420550.521 * * [misc]simplify: iters left: 4 (16 enodes) 1546420550.525 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546420550.525 * [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))))))) 1546420550.525 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420550.526 * * [misc]simplify: iters left: 6 (17 enodes) 1546420550.532 * * [misc]simplify: iters left: 5 (28 enodes) 1546420550.539 * * [misc]simplify: iters left: 4 (41 enodes) 1546420550.556 * * [misc]simplify: iters left: 3 (76 enodes) 1546420550.583 * * [misc]simplify: iters left: 2 (142 enodes) 1546420550.678 * * [misc]simplify: iters left: 1 (380 enodes) 1546420550.917 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1546420550.917 * [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))))))) 1546420550.917 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1546420550.917 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546420550.917 * * [misc]simplify: iters left: 6 (8 enodes) 1546420550.921 * * [misc]simplify: iters left: 5 (14 enodes) 1546420550.924 * * [misc]simplify: iters left: 4 (15 enodes) 1546420550.929 * * [misc]simplify: iters left: 3 (19 enodes) 1546420550.932 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546420550.933 * [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))))))) 1546420550.933 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420550.933 * * [misc]simplify: iters left: 6 (17 enodes) 1546420550.939 * * [misc]simplify: iters left: 5 (29 enodes) 1546420550.947 * * [misc]simplify: iters left: 4 (40 enodes) 1546420550.961 * * [misc]simplify: iters left: 3 (75 enodes) 1546420550.989 * * [misc]simplify: iters left: 2 (141 enodes) 1546420551.087 * * [misc]simplify: iters left: 1 (379 enodes) 1546420551.394 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420551.394 * [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)))) 1546420551.394 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1546420551.395 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1546420551.395 * * [misc]simplify: iters left: 6 (8 enodes) 1546420551.398 * * [misc]simplify: iters left: 5 (14 enodes) 1546420551.401 * * [misc]simplify: iters left: 4 (15 enodes) 1546420551.406 * * [misc]simplify: iters left: 3 (19 enodes) 1546420551.409 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1546420551.410 * [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))))))) 1546420551.410 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420551.410 * * [misc]simplify: iters left: 6 (17 enodes) 1546420551.416 * * [misc]simplify: iters left: 5 (29 enodes) 1546420551.424 * * [misc]simplify: iters left: 4 (40 enodes) 1546420551.438 * * [misc]simplify: iters left: 3 (75 enodes) 1546420551.463 * * [misc]simplify: iters left: 2 (141 enodes) 1546420551.510 * * [misc]simplify: iters left: 1 (379 enodes) 1546420551.765 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420551.765 * [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)))) 1546420551.765 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1546420551.766 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1546420551.766 * * [misc]simplify: iters left: 6 (10 enodes) 1546420551.770 * * [misc]simplify: iters left: 5 (16 enodes) 1546420551.774 * * [misc]simplify: iters left: 4 (20 enodes) 1546420551.780 * * [misc]simplify: iters left: 3 (24 enodes) 1546420551.785 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546420551.785 * [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))))))) 1546420551.786 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420551.786 * * [misc]simplify: iters left: 6 (14 enodes) 1546420551.794 * * [misc]simplify: iters left: 5 (24 enodes) 1546420551.801 * * [misc]simplify: iters left: 4 (37 enodes) 1546420551.813 * * [misc]simplify: iters left: 3 (72 enodes) 1546420551.835 * * [misc]simplify: iters left: 2 (138 enodes) 1546420551.900 * * [misc]simplify: iters left: 1 (391 enodes) 1546420552.153 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1546420552.154 * [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)))) 1546420552.154 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1546420552.154 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420552.154 * * [misc]simplify: iters left: 6 (13 enodes) 1546420552.159 * * [misc]simplify: iters left: 5 (22 enodes) 1546420552.165 * * [misc]simplify: iters left: 4 (26 enodes) 1546420552.172 * * [misc]simplify: iters left: 3 (32 enodes) 1546420552.179 * * [misc]simplify: iters left: 2 (34 enodes) 1546420552.187 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420552.187 * [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)))))))) 1546420552.188 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420552.188 * * [misc]simplify: iters left: 6 (17 enodes) 1546420552.193 * * [misc]simplify: iters left: 5 (28 enodes) 1546420552.201 * * [misc]simplify: iters left: 4 (41 enodes) 1546420552.214 * * [misc]simplify: iters left: 3 (76 enodes) 1546420552.241 * * [misc]simplify: iters left: 2 (142 enodes) 1546420552.298 * * [misc]simplify: iters left: 1 (382 enodes) 1546420552.593 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546420552.593 * [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))))))) 1546420552.593 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1546420552.593 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420552.593 * * [misc]simplify: iters left: 6 (12 enodes) 1546420552.596 * * [misc]simplify: iters left: 5 (19 enodes) 1546420552.600 * * [misc]simplify: iters left: 4 (23 enodes) 1546420552.607 * * [misc]simplify: iters left: 3 (27 enodes) 1546420552.612 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1546420552.612 * [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)))))))) 1546420552.613 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420552.613 * * [misc]simplify: iters left: 6 (17 enodes) 1546420552.616 * * [misc]simplify: iters left: 5 (28 enodes) 1546420552.620 * * [misc]simplify: iters left: 4 (41 enodes) 1546420552.626 * * [misc]simplify: iters left: 3 (76 enodes) 1546420552.641 * * [misc]simplify: iters left: 2 (142 enodes) 1546420552.702 * * [misc]simplify: iters left: 1 (382 enodes) 1546420553.058 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1546420553.059 * [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))))))) 1546420553.059 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1546420553.059 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1546420553.059 * * [misc]simplify: iters left: 4 (3 enodes) 1546420553.060 * * [misc]simplify: iters left: 3 (5 enodes) 1546420553.060 * [exit]simplify: Simplified to 1 1546420553.060 * [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))))))) 1546420553.060 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420553.060 * * [misc]simplify: iters left: 6 (16 enodes) 1546420553.063 * * [misc]simplify: iters left: 5 (27 enodes) 1546420553.067 * * [misc]simplify: iters left: 4 (40 enodes) 1546420553.074 * * [misc]simplify: iters left: 3 (75 enodes) 1546420553.090 * * [misc]simplify: iters left: 2 (141 enodes) 1546420553.155 * * [misc]simplify: iters left: 1 (376 enodes) 1546420553.458 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546420553.458 * [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)))))) 1546420553.458 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1546420553.458 * [enter]simplify: Simplifying (/ 1 1) 1546420553.458 * * [misc]simplify: iters left: 2 (2 enodes) 1546420553.459 * * [misc]simplify: iters left: 1 (4 enodes) 1546420553.460 * [exit]simplify: Simplified to 1 1546420553.460 * [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))))))) 1546420553.460 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420553.460 * * [misc]simplify: iters left: 6 (16 enodes) 1546420553.466 * * [misc]simplify: iters left: 5 (27 enodes) 1546420553.474 * * [misc]simplify: iters left: 4 (40 enodes) 1546420553.483 * * [misc]simplify: iters left: 3 (75 enodes) 1546420553.497 * * [misc]simplify: iters left: 2 (141 enodes) 1546420553.575 * * [misc]simplify: iters left: 1 (376 enodes) 1546420553.886 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1546420553.886 * [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)))))) 1546420553.886 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1546420553.886 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1546420553.886 * * [misc]simplify: iters left: 3 (4 enodes) 1546420553.887 * * [misc]simplify: iters left: 2 (6 enodes) 1546420553.888 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546420553.888 * [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))))))) 1546420553.888 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546420553.888 * * [misc]simplify: iters left: 6 (15 enodes) 1546420553.891 * * [misc]simplify: iters left: 5 (26 enodes) 1546420553.895 * * [misc]simplify: iters left: 4 (35 enodes) 1546420553.901 * * [misc]simplify: iters left: 3 (61 enodes) 1546420553.913 * * [misc]simplify: iters left: 2 (82 enodes) 1546420553.932 * * [misc]simplify: iters left: 1 (85 enodes) 1546420553.942 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546420553.942 * [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)))))) 1546420553.942 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1546420553.942 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1546420553.943 * * [misc]simplify: iters left: 6 (10 enodes) 1546420553.944 * * [misc]simplify: iters left: 5 (16 enodes) 1546420553.946 * * [misc]simplify: iters left: 4 (19 enodes) 1546420553.948 * * [misc]simplify: iters left: 3 (21 enodes) 1546420553.952 * * [misc]simplify: iters left: 2 (33 enodes) 1546420553.956 * * [misc]simplify: iters left: 1 (41 enodes) 1546420553.961 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546420553.961 * [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))))) 1546420553.961 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1546420553.961 * * [misc]simplify: iters left: 6 (14 enodes) 1546420553.963 * * [misc]simplify: iters left: 5 (23 enodes) 1546420553.966 * * [misc]simplify: iters left: 4 (30 enodes) 1546420553.971 * * [misc]simplify: iters left: 3 (42 enodes) 1546420553.977 * * [misc]simplify: iters left: 2 (67 enodes) 1546420553.989 * * [misc]simplify: iters left: 1 (88 enodes) 1546420554.003 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546420554.003 * [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))))) 1546420554.003 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1546420554.004 * [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))))))) 1546420554.004 * * [misc]simplify: iters left: 6 (15 enodes) 1546420554.007 * * [misc]simplify: iters left: 5 (22 enodes) 1546420554.010 * * [misc]simplify: iters left: 4 (25 enodes) 1546420554.013 * [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))))))) 1546420554.013 * [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)))))))) 1546420554.013 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420554.013 * * [misc]simplify: iters left: 6 (14 enodes) 1546420554.015 * * [misc]simplify: iters left: 5 (17 enodes) 1546420554.017 * * [misc]simplify: iters left: 4 (20 enodes) 1546420554.020 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420554.020 * [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)))))))) 1546420554.020 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1546420554.020 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420554.020 * * [misc]simplify: iters left: 6 (14 enodes) 1546420554.022 * * [misc]simplify: iters left: 5 (19 enodes) 1546420554.025 * * [misc]simplify: iters left: 4 (22 enodes) 1546420554.028 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420554.028 * [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)))))))) 1546420554.028 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420554.028 * * [misc]simplify: iters left: 6 (14 enodes) 1546420554.030 * * [misc]simplify: iters left: 5 (17 enodes) 1546420554.032 * * [misc]simplify: iters left: 4 (20 enodes) 1546420554.035 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420554.035 * [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)))))))) 1546420554.035 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1546420554.035 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420554.036 * * [misc]simplify: iters left: 6 (13 enodes) 1546420554.038 * * [misc]simplify: iters left: 5 (21 enodes) 1546420554.040 * * [misc]simplify: iters left: 4 (28 enodes) 1546420554.044 * * [misc]simplify: iters left: 3 (36 enodes) 1546420554.053 * * [misc]simplify: iters left: 2 (62 enodes) 1546420554.071 * * [misc]simplify: iters left: 1 (94 enodes) 1546420554.104 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546420554.104 * [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))))))) 1546420554.104 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420554.105 * * [misc]simplify: iters left: 6 (15 enodes) 1546420554.110 * * [misc]simplify: iters left: 5 (21 enodes) 1546420554.116 * * [misc]simplify: iters left: 4 (25 enodes) 1546420554.119 * * [misc]simplify: iters left: 3 (27 enodes) 1546420554.122 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420554.123 * [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)))))) 1546420554.123 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1546420554.123 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1546420554.123 * * [misc]simplify: iters left: 6 (13 enodes) 1546420554.125 * * [misc]simplify: iters left: 5 (21 enodes) 1546420554.128 * * [misc]simplify: iters left: 4 (28 enodes) 1546420554.132 * * [misc]simplify: iters left: 3 (36 enodes) 1546420554.138 * * [misc]simplify: iters left: 2 (62 enodes) 1546420554.147 * * [misc]simplify: iters left: 1 (94 enodes) 1546420554.167 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1546420554.167 * [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))))))) 1546420554.168 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420554.168 * * [misc]simplify: iters left: 6 (15 enodes) 1546420554.170 * * [misc]simplify: iters left: 5 (21 enodes) 1546420554.173 * * [misc]simplify: iters left: 4 (25 enodes) 1546420554.176 * * [misc]simplify: iters left: 3 (27 enodes) 1546420554.179 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420554.179 * [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)))))) 1546420554.179 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1546420554.180 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1546420554.180 * * [misc]simplify: iters left: 6 (14 enodes) 1546420554.182 * * [misc]simplify: iters left: 5 (22 enodes) 1546420554.185 * * [misc]simplify: iters left: 4 (32 enodes) 1546420554.190 * * [misc]simplify: iters left: 3 (55 enodes) 1546420554.203 * * [misc]simplify: iters left: 2 (97 enodes) 1546420554.235 * * [misc]simplify: iters left: 1 (209 enodes) 1546420554.319 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420554.319 * [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))))))) 1546420554.319 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420554.319 * * [misc]simplify: iters left: 6 (12 enodes) 1546420554.321 * * [misc]simplify: iters left: 5 (16 enodes) 1546420554.323 * * [misc]simplify: iters left: 4 (22 enodes) 1546420554.326 * * [misc]simplify: iters left: 3 (24 enodes) 1546420554.329 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1546420554.329 * [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)))))) 1546420554.329 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1546420554.330 * [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))))))) 1546420554.330 * * [misc]simplify: iters left: 6 (17 enodes) 1546420554.333 * * [misc]simplify: iters left: 5 (30 enodes) 1546420554.342 * * [misc]simplify: iters left: 4 (51 enodes) 1546420554.357 * * [misc]simplify: iters left: 3 (67 enodes) 1546420554.380 * * [misc]simplify: iters left: 2 (156 enodes) 1546420554.458 * * [misc]simplify: iters left: 1 (456 enodes) 1546420555.235 * [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)))) 1546420555.235 * [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)))))))) 1546420555.235 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.235 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.240 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.245 * * [misc]simplify: iters left: 4 (26 enodes) 1546420555.250 * * [misc]simplify: iters left: 3 (28 enodes) 1546420555.253 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420555.254 * [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))))))) 1546420555.254 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1546420555.254 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.254 * * [misc]simplify: iters left: 6 (16 enodes) 1546420555.256 * * [misc]simplify: iters left: 5 (25 enodes) 1546420555.261 * * [misc]simplify: iters left: 4 (35 enodes) 1546420555.266 * * [misc]simplify: iters left: 3 (58 enodes) 1546420555.277 * * [misc]simplify: iters left: 2 (99 enodes) 1546420555.312 * * [misc]simplify: iters left: 1 (192 enodes) 1546420555.381 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1546420555.381 * [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)))))))) 1546420555.381 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.381 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.384 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.386 * * [misc]simplify: iters left: 4 (26 enodes) 1546420555.390 * * [misc]simplify: iters left: 3 (28 enodes) 1546420555.394 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420555.394 * [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))))))) 1546420555.394 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1546420555.394 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1546420555.394 * * [misc]simplify: iters left: 6 (8 enodes) 1546420555.395 * * [misc]simplify: iters left: 5 (14 enodes) 1546420555.398 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.401 * * [misc]simplify: iters left: 3 (29 enodes) 1546420555.404 * * [misc]simplify: iters left: 2 (45 enodes) 1546420555.410 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1546420555.410 * [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))))))) 1546420555.411 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420555.411 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.413 * * [misc]simplify: iters left: 5 (19 enodes) 1546420555.415 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.419 * * [misc]simplify: iters left: 3 (27 enodes) 1546420555.422 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546420555.422 * [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)))))) 1546420555.422 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1546420555.422 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420555.422 * * [misc]simplify: iters left: 6 (12 enodes) 1546420555.425 * * [misc]simplify: iters left: 5 (18 enodes) 1546420555.429 * * [misc]simplify: iters left: 4 (21 enodes) 1546420555.434 * * [misc]simplify: iters left: 3 (23 enodes) 1546420555.440 * * [misc]simplify: iters left: 2 (35 enodes) 1546420555.448 * * [misc]simplify: iters left: 1 (43 enodes) 1546420555.458 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546420555.458 * [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))))))) 1546420555.458 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420555.458 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.463 * * [misc]simplify: iters left: 5 (21 enodes) 1546420555.469 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.476 * * [misc]simplify: iters left: 3 (27 enodes) 1546420555.483 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420555.483 * [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)))))) 1546420555.483 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1546420555.484 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1546420555.484 * * [misc]simplify: iters left: 6 (12 enodes) 1546420555.488 * * [misc]simplify: iters left: 5 (18 enodes) 1546420555.494 * * [misc]simplify: iters left: 4 (21 enodes) 1546420555.499 * * [misc]simplify: iters left: 3 (23 enodes) 1546420555.506 * * [misc]simplify: iters left: 2 (35 enodes) 1546420555.515 * * [misc]simplify: iters left: 1 (43 enodes) 1546420555.524 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1546420555.525 * [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))))))) 1546420555.525 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1546420555.525 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.530 * * [misc]simplify: iters left: 5 (21 enodes) 1546420555.536 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.542 * * [misc]simplify: iters left: 3 (27 enodes) 1546420555.550 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1546420555.550 * [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)))))) 1546420555.550 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1546420555.550 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1546420555.550 * * [misc]simplify: iters left: 6 (13 enodes) 1546420555.554 * * [misc]simplify: iters left: 5 (19 enodes) 1546420555.559 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.566 * * [misc]simplify: iters left: 3 (34 enodes) 1546420555.576 * * [misc]simplify: iters left: 2 (44 enodes) 1546420555.587 * * [misc]simplify: iters left: 1 (59 enodes) 1546420555.603 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1546420555.603 * [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))))))) 1546420555.604 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1546420555.604 * * [misc]simplify: iters left: 6 (12 enodes) 1546420555.607 * * [misc]simplify: iters left: 5 (16 enodes) 1546420555.613 * * [misc]simplify: iters left: 4 (22 enodes) 1546420555.619 * * [misc]simplify: iters left: 3 (24 enodes) 1546420555.622 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1546420555.623 * [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)))))) 1546420555.623 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1546420555.623 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420555.623 * * [misc]simplify: iters left: 6 (16 enodes) 1546420555.625 * * [misc]simplify: iters left: 5 (25 enodes) 1546420555.629 * * [misc]simplify: iters left: 4 (33 enodes) 1546420555.633 * * [misc]simplify: iters left: 3 (41 enodes) 1546420555.639 * * [misc]simplify: iters left: 2 (64 enodes) 1546420555.652 * * [misc]simplify: iters left: 1 (95 enodes) 1546420555.681 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1546420555.681 * [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)))))))) 1546420555.681 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.681 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.686 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.691 * * [misc]simplify: iters left: 4 (26 enodes) 1546420555.698 * * [misc]simplify: iters left: 3 (28 enodes) 1546420555.705 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420555.705 * [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))))))) 1546420555.705 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1546420555.705 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.705 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.707 * * [misc]simplify: iters left: 5 (22 enodes) 1546420555.710 * * [misc]simplify: iters left: 4 (28 enodes) 1546420555.714 * * [misc]simplify: iters left: 3 (37 enodes) 1546420555.720 * * [misc]simplify: iters left: 2 (47 enodes) 1546420555.726 * * [misc]simplify: iters left: 1 (62 enodes) 1546420555.735 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1546420555.735 * [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)))))))) 1546420555.735 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.735 * * [misc]simplify: iters left: 6 (15 enodes) 1546420555.740 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.745 * * [misc]simplify: iters left: 4 (26 enodes) 1546420555.752 * * [misc]simplify: iters left: 3 (28 enodes) 1546420555.759 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420555.760 * [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))))))) 1546420555.760 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1546420555.760 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1546420555.760 * * [misc]simplify: iters left: 6 (7 enodes) 1546420555.762 * * [misc]simplify: iters left: 5 (11 enodes) 1546420555.766 * * [misc]simplify: iters left: 4 (17 enodes) 1546420555.770 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1546420555.770 * [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))))))) 1546420555.770 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420555.770 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.775 * * [misc]simplify: iters left: 5 (19 enodes) 1546420555.780 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.787 * * [misc]simplify: iters left: 3 (27 enodes) 1546420555.795 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1546420555.795 * [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)))))) 1546420555.795 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1546420555.795 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546420555.795 * * [misc]simplify: iters left: 6 (9 enodes) 1546420555.799 * * [misc]simplify: iters left: 5 (15 enodes) 1546420555.802 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546420555.802 * [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))))))) 1546420555.803 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420555.803 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.808 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.813 * * [misc]simplify: iters left: 4 (24 enodes) 1546420555.820 * * [misc]simplify: iters left: 3 (26 enodes) 1546420555.827 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420555.827 * [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)))) 1546420555.827 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1546420555.827 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1546420555.827 * * [misc]simplify: iters left: 6 (9 enodes) 1546420555.831 * * [misc]simplify: iters left: 5 (15 enodes) 1546420555.834 * [exit]simplify: Simplified to (sqrt (* n 2)) 1546420555.834 * [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))))))) 1546420555.834 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1546420555.835 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.839 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.844 * * [misc]simplify: iters left: 4 (24 enodes) 1546420555.851 * * [misc]simplify: iters left: 3 (26 enodes) 1546420555.855 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420555.855 * [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)))) 1546420555.855 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1546420555.855 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1546420555.855 * * [misc]simplify: iters left: 6 (11 enodes) 1546420555.857 * * [misc]simplify: iters left: 5 (17 enodes) 1546420555.860 * * [misc]simplify: iters left: 4 (20 enodes) 1546420555.862 * * [misc]simplify: iters left: 3 (24 enodes) 1546420555.865 * * [misc]simplify: iters left: 2 (26 enodes) 1546420555.868 * * [misc]simplify: iters left: 1 (28 enodes) 1546420555.871 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546420555.871 * [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))))))) 1546420555.871 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420555.871 * * [misc]simplify: iters left: 6 (11 enodes) 1546420555.873 * * [misc]simplify: iters left: 5 (15 enodes) 1546420555.875 * * [misc]simplify: iters left: 4 (21 enodes) 1546420555.878 * * [misc]simplify: iters left: 3 (23 enodes) 1546420555.881 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1546420555.881 * [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))))))) 1546420555.881 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1546420555.881 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420555.881 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.884 * * [misc]simplify: iters left: 5 (23 enodes) 1546420555.890 * * [misc]simplify: iters left: 4 (26 enodes) 1546420555.897 * * [misc]simplify: iters left: 3 (31 enodes) 1546420555.904 * * [misc]simplify: iters left: 2 (34 enodes) 1546420555.914 * * [misc]simplify: iters left: 1 (48 enodes) 1546420555.928 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420555.928 * [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)))))))) 1546420555.928 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.928 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.933 * * [misc]simplify: iters left: 5 (19 enodes) 1546420555.939 * * [misc]simplify: iters left: 4 (25 enodes) 1546420555.945 * * [misc]simplify: iters left: 3 (27 enodes) 1546420555.953 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420555.953 * [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))))))) 1546420555.953 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1546420555.953 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.953 * * [misc]simplify: iters left: 6 (13 enodes) 1546420555.958 * * [misc]simplify: iters left: 5 (20 enodes) 1546420555.963 * * [misc]simplify: iters left: 4 (23 enodes) 1546420555.969 * * [misc]simplify: iters left: 3 (27 enodes) 1546420555.975 * * [misc]simplify: iters left: 2 (29 enodes) 1546420555.983 * * [misc]simplify: iters left: 1 (31 enodes) 1546420555.990 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420555.990 * [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)))))))) 1546420555.991 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420555.991 * * [misc]simplify: iters left: 6 (14 enodes) 1546420555.994 * * [misc]simplify: iters left: 5 (19 enodes) 1546420555.999 * * [misc]simplify: iters left: 4 (25 enodes) 1546420556.005 * * [misc]simplify: iters left: 3 (27 enodes) 1546420556.012 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.012 * [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))))))) 1546420556.012 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1546420556.012 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1546420556.012 * * [misc]simplify: iters left: 4 (3 enodes) 1546420556.013 * * [misc]simplify: iters left: 3 (5 enodes) 1546420556.014 * [exit]simplify: Simplified to 1 1546420556.014 * [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))))))) 1546420556.014 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.014 * * [misc]simplify: iters left: 6 (13 enodes) 1546420556.018 * * [misc]simplify: iters left: 5 (18 enodes) 1546420556.024 * * [misc]simplify: iters left: 4 (24 enodes) 1546420556.031 * * [misc]simplify: iters left: 3 (26 enodes) 1546420556.037 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420556.037 * [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)))) 1546420556.037 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1546420556.038 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1546420556.038 * * [misc]simplify: iters left: 4 (3 enodes) 1546420556.039 * * [misc]simplify: iters left: 3 (5 enodes) 1546420556.040 * [exit]simplify: Simplified to 1 1546420556.040 * [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))))))) 1546420556.040 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.040 * * [misc]simplify: iters left: 6 (13 enodes) 1546420556.044 * * [misc]simplify: iters left: 5 (18 enodes) 1546420556.049 * * [misc]simplify: iters left: 4 (24 enodes) 1546420556.055 * * [misc]simplify: iters left: 3 (26 enodes) 1546420556.061 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1546420556.061 * [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)))) 1546420556.061 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1546420556.061 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1546420556.061 * * [misc]simplify: iters left: 4 (5 enodes) 1546420556.062 * * [misc]simplify: iters left: 3 (7 enodes) 1546420556.063 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1546420556.063 * [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))))))) 1546420556.063 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.063 * * [misc]simplify: iters left: 6 (13 enodes) 1546420556.065 * * [misc]simplify: iters left: 5 (20 enodes) 1546420556.068 * * [misc]simplify: iters left: 4 (26 enodes) 1546420556.072 * * [misc]simplify: iters left: 3 (36 enodes) 1546420556.077 * * [misc]simplify: iters left: 2 (38 enodes) 1546420556.080 * * [misc]simplify: iters left: 1 (43 enodes) 1546420556.087 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1546420556.087 * [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)))))) 1546420556.087 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1546420556.087 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1546420556.088 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.091 * * [misc]simplify: iters left: 5 (17 enodes) 1546420556.095 * * [misc]simplify: iters left: 4 (20 enodes) 1546420556.100 * * [misc]simplify: iters left: 3 (22 enodes) 1546420556.106 * * [misc]simplify: iters left: 2 (34 enodes) 1546420556.115 * * [misc]simplify: iters left: 1 (42 enodes) 1546420556.124 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1546420556.124 * [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))))) 1546420556.124 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1546420556.124 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.128 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.132 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.136 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1546420556.136 * [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))))) 1546420556.136 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1546420556.136 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1546420556.137 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1546420556.137 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1546420556.137 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.137 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.140 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.144 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.149 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.149 * [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))))))) 1546420556.149 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1546420556.149 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.149 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.153 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.157 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.161 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.162 * [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))))))) 1546420556.162 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1546420556.162 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420556.162 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.165 * * [misc]simplify: iters left: 5 (13 enodes) 1546420556.169 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420556.169 * [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))))) 1546420556.169 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1546420556.169 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420556.169 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.172 * * [misc]simplify: iters left: 5 (13 enodes) 1546420556.176 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420556.176 * [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))))) 1546420556.176 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1546420556.176 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420556.176 * * [misc]simplify: iters left: 6 (9 enodes) 1546420556.179 * * [misc]simplify: iters left: 5 (11 enodes) 1546420556.182 * * [misc]simplify: iters left: 4 (14 enodes) 1546420556.186 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420556.186 * [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)))))) 1546420556.186 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1546420556.187 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.187 * * [misc]simplify: iters left: 6 (12 enodes) 1546420556.190 * * [misc]simplify: iters left: 5 (15 enodes) 1546420556.195 * * [misc]simplify: iters left: 4 (18 enodes) 1546420556.199 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.200 * [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))))))) 1546420556.200 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1546420556.200 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.200 * * [misc]simplify: iters left: 6 (12 enodes) 1546420556.204 * * [misc]simplify: iters left: 5 (15 enodes) 1546420556.208 * * [misc]simplify: iters left: 4 (18 enodes) 1546420556.213 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.213 * [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))))))) 1546420556.213 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1546420556.213 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.213 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.217 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.221 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.226 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.226 * [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)))))) 1546420556.226 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1546420556.226 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420556.226 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.229 * * [misc]simplify: iters left: 5 (13 enodes) 1546420556.233 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420556.233 * [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))))) 1546420556.233 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1546420556.234 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420556.234 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.237 * * [misc]simplify: iters left: 5 (13 enodes) 1546420556.241 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420556.241 * [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))))) 1546420556.241 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1546420556.241 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420556.241 * * [misc]simplify: iters left: 6 (9 enodes) 1546420556.244 * * [misc]simplify: iters left: 5 (11 enodes) 1546420556.247 * * [misc]simplify: iters left: 4 (14 enodes) 1546420556.251 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420556.251 * [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)))))) 1546420556.251 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1546420556.251 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.252 * * [misc]simplify: iters left: 6 (12 enodes) 1546420556.255 * * [misc]simplify: iters left: 5 (15 enodes) 1546420556.259 * * [misc]simplify: iters left: 4 (18 enodes) 1546420556.265 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.266 * [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))))))) 1546420556.266 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1546420556.266 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.266 * * [misc]simplify: iters left: 6 (12 enodes) 1546420556.268 * * [misc]simplify: iters left: 5 (15 enodes) 1546420556.270 * * [misc]simplify: iters left: 4 (18 enodes) 1546420556.273 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.273 * [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))))))) 1546420556.273 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1546420556.273 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.273 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.275 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.277 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.279 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.279 * [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)))))) 1546420556.280 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1546420556.280 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420556.280 * * [misc]simplify: iters left: 6 (9 enodes) 1546420556.281 * * [misc]simplify: iters left: 5 (12 enodes) 1546420556.283 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420556.283 * [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))))) 1546420556.283 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1546420556.283 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420556.283 * * [misc]simplify: iters left: 6 (9 enodes) 1546420556.285 * * [misc]simplify: iters left: 5 (12 enodes) 1546420556.286 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420556.286 * [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))))) 1546420556.286 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1546420556.287 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420556.287 * * [misc]simplify: iters left: 6 (8 enodes) 1546420556.288 * * [misc]simplify: iters left: 5 (10 enodes) 1546420556.289 * * [misc]simplify: iters left: 4 (13 enodes) 1546420556.291 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420556.291 * [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)))))) 1546420556.291 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1546420556.292 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.292 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.295 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.299 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.304 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.304 * [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))))))) 1546420556.304 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1546420556.305 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.305 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.308 * * [misc]simplify: iters left: 5 (14 enodes) 1546420556.312 * * [misc]simplify: iters left: 4 (17 enodes) 1546420556.317 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420556.317 * [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))))))) 1546420556.317 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1546420556.317 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.317 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.320 * * [misc]simplify: iters left: 5 (13 enodes) 1546420556.324 * * [misc]simplify: iters left: 4 (16 enodes) 1546420556.326 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.326 * [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)))))) 1546420556.326 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1546420556.326 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.326 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.328 * * [misc]simplify: iters left: 5 (13 enodes) 1546420556.330 * * [misc]simplify: iters left: 4 (16 enodes) 1546420556.332 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.332 * [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)))))) 1546420556.332 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1546420556.332 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1546420556.332 * * [misc]simplify: iters left: 6 (10 enodes) 1546420556.334 * * [misc]simplify: iters left: 5 (15 enodes) 1546420556.336 * * [misc]simplify: iters left: 4 (18 enodes) 1546420556.339 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1546420556.339 * [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)))))) 1546420556.339 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1546420556.339 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546420556.339 * * [misc]simplify: iters left: 3 (6 enodes) 1546420556.340 * * [misc]simplify: iters left: 2 (7 enodes) 1546420556.341 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546420556.341 * [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)))) 1546420556.341 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1546420556.341 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1546420556.341 * * [misc]simplify: iters left: 6 (12 enodes) 1546420556.344 * * [misc]simplify: iters left: 5 (18 enodes) 1546420556.346 * * [misc]simplify: iters left: 4 (22 enodes) 1546420556.350 * * [misc]simplify: iters left: 3 (26 enodes) 1546420556.353 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1546420556.353 * [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))))))))) 1546420556.353 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1546420556.354 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1546420556.354 * * [misc]simplify: iters left: 6 (11 enodes) 1546420556.356 * * [misc]simplify: iters left: 5 (17 enodes) 1546420556.359 * * [misc]simplify: iters left: 4 (21 enodes) 1546420556.362 * * [misc]simplify: iters left: 3 (25 enodes) 1546420556.365 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1546420556.366 * [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))))))))) 1546420556.366 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1546420556.366 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1546420556.366 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1546420556.366 * [enter]simplify: Simplifying (/ 1 1) 1546420556.366 * * [misc]simplify: iters left: 2 (2 enodes) 1546420556.366 * * [misc]simplify: iters left: 1 (4 enodes) 1546420556.367 * [exit]simplify: Simplified to 1 1546420556.367 * [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)))))) 1546420556.367 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1546420556.367 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546420556.367 * * [misc]simplify: iters left: 5 (8 enodes) 1546420556.368 * * [misc]simplify: iters left: 4 (11 enodes) 1546420556.370 * * [misc]simplify: iters left: 3 (14 enodes) 1546420556.371 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546420556.371 * [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))))) 1546420556.372 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1546420556.372 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1546420556.372 * [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)))) 1546420556.372 * * [misc]simplify: iters left: 6 (18 enodes) 1546420556.375 * * [misc]simplify: iters left: 5 (39 enodes) 1546420556.382 * * [misc]simplify: iters left: 4 (104 enodes) 1546420556.403 * * [misc]simplify: iters left: 3 (275 enodes) 1546420556.499 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1546420556.499 * [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)))))) 1546420556.499 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1546420556.499 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546420556.499 * * [misc]simplify: iters left: 5 (6 enodes) 1546420556.500 * * [misc]simplify: iters left: 4 (9 enodes) 1546420556.504 * * [misc]simplify: iters left: 3 (17 enodes) 1546420556.506 * * [misc]simplify: iters left: 2 (20 enodes) 1546420556.509 * * [misc]simplify: iters left: 1 (24 enodes) 1546420556.518 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1546420556.518 * [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)))))) 1546420556.518 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1546420556.518 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546420556.518 * * [misc]simplify: iters left: 5 (6 enodes) 1546420556.520 * * [misc]simplify: iters left: 4 (9 enodes) 1546420556.523 * * [misc]simplify: iters left: 3 (17 enodes) 1546420556.528 * * [misc]simplify: iters left: 2 (20 enodes) 1546420556.532 * * [misc]simplify: iters left: 1 (24 enodes) 1546420556.541 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1546420556.541 * [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)))))) 1546420556.541 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1546420556.542 * [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))))) 1546420556.543 * * [misc]simplify: iters left: 6 (35 enodes) 1546420556.550 * * [misc]simplify: iters left: 5 (99 enodes) 1546420556.570 * * [misc]simplify: iters left: 4 (298 enodes) 1546420556.747 * [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))))))) 1546420556.748 * [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)))))))))) 1546420556.748 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1546420556.748 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546420556.748 * * [misc]simplify: iters left: 6 (13 enodes) 1546420556.753 * * [misc]simplify: iters left: 5 (27 enodes) 1546420556.762 * * [misc]simplify: iters left: 4 (53 enodes) 1546420556.780 * * [misc]simplify: iters left: 3 (116 enodes) 1546420556.829 * * [misc]simplify: iters left: 2 (362 enodes) 1546420557.074 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1546420557.074 * [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))))) 1546420557.074 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1546420557.075 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546420557.075 * * [misc]simplify: iters left: 6 (13 enodes) 1546420557.080 * * [misc]simplify: iters left: 5 (24 enodes) 1546420557.089 * * [misc]simplify: iters left: 4 (54 enodes) 1546420557.109 * * [misc]simplify: iters left: 3 (143 enodes) 1546420557.178 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1546420557.178 * [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))))))) 1546420557.179 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1546420557.179 * [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)))))))))))) 1546420557.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546420557.179 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1546420557.179 * [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))))))))))) 1546420557.180 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546420557.180 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1546420557.180 * [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))))))))) 1546420557.180 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546420557.180 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1546420557.180 * [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))))))))))))))) 1546420557.180 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420557.180 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1546420557.180 * [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)))))))) 1546420557.180 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420557.180 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1546420557.180 * [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)))))))) 1546420557.180 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1546420557.181 * * * [misc]progress: adding candidates to table 1546420560.637 * * [misc]progress: iteration 4 / 4 1546420560.637 * * * [misc]progress: picking best candidate 1546420560.659 * * * * [misc]pick: Picked # 1546420560.659 * * * [misc]progress: localizing error 1546420560.671 * * * [misc]progress: generating rewritten candidates 1546420560.671 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2) 1546420560.673 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) 1546420560.675 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1546420560.683 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1546420560.689 * * * [misc]progress: generating series expansions 1546420560.690 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2) 1546420560.690 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1546420560.690 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1546420560.690 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546420560.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546420560.690 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546420560.690 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.690 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.690 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.690 * [misc]taylor: Taking taylor expansion of k in k 1546420560.690 * [misc]backup-simplify: Simplify 0 into 0 1546420560.690 * [misc]backup-simplify: Simplify 1 into 1 1546420560.690 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420560.690 * [misc]taylor: Taking taylor expansion of PI in k 1546420560.690 * [misc]backup-simplify: Simplify PI into PI 1546420560.691 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420560.691 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.691 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.691 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.692 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420560.693 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546420560.693 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1546420560.693 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1546420560.693 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1546420560.693 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.693 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.693 * [misc]taylor: Taking taylor expansion of k in k 1546420560.693 * [misc]backup-simplify: Simplify 0 into 0 1546420560.693 * [misc]backup-simplify: Simplify 1 into 1 1546420560.693 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420560.693 * [misc]taylor: Taking taylor expansion of PI in k 1546420560.693 * [misc]backup-simplify: Simplify PI into PI 1546420560.693 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420560.694 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.694 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.694 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.695 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420560.695 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1546420560.696 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1546420560.698 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1546420560.698 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420560.699 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.699 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.700 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1546420560.704 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1546420560.705 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1546420560.710 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1546420560.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420560.710 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1546420560.716 * [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))) 1546420560.718 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1546420560.721 * [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)))) 1546420560.721 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.721 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1546420560.721 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of k in k 1546420560.722 * [misc]backup-simplify: Simplify 0 into 0 1546420560.722 * [misc]backup-simplify: Simplify 1 into 1 1546420560.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.722 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420560.722 * [misc]taylor: Taking taylor expansion of PI in k 1546420560.722 * [misc]backup-simplify: Simplify PI into PI 1546420560.723 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420560.723 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.723 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.723 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.724 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546420560.724 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.724 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420560.724 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1546420560.724 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1546420560.724 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420560.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.724 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.724 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.724 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.724 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.724 * [misc]taylor: Taking taylor expansion of k in k 1546420560.724 * [misc]backup-simplify: Simplify 0 into 0 1546420560.724 * [misc]backup-simplify: Simplify 1 into 1 1546420560.724 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.725 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420560.725 * [misc]taylor: Taking taylor expansion of PI in k 1546420560.725 * [misc]backup-simplify: Simplify PI into PI 1546420560.725 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420560.725 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.725 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.725 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.726 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1546420560.726 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.726 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.726 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1546420560.727 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.727 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1546420560.727 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420560.727 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546420560.727 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546420560.727 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420560.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.727 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.727 * [misc]taylor: Taking taylor expansion of k in k 1546420560.727 * [misc]backup-simplify: Simplify 0 into 0 1546420560.727 * [misc]backup-simplify: Simplify 1 into 1 1546420560.727 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.727 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.727 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420560.728 * [misc]taylor: Taking taylor expansion of PI in k 1546420560.728 * [misc]backup-simplify: Simplify PI into PI 1546420560.728 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420560.728 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.728 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.728 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420560.729 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.729 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of k in k 1546420560.729 * [misc]backup-simplify: Simplify 0 into 0 1546420560.729 * [misc]backup-simplify: Simplify 1 into 1 1546420560.729 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.729 * [misc]taylor: Taking taylor expansion of (log PI) in k 1546420560.729 * [misc]taylor: Taking taylor expansion of PI in k 1546420560.729 * [misc]backup-simplify: Simplify PI into PI 1546420560.729 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1546420560.729 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.729 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.730 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1546420560.730 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.730 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.730 * [misc]backup-simplify: Simplify 0 into 0 1546420560.730 * [misc]backup-simplify: Simplify 0 into 0 1546420560.730 * [misc]backup-simplify: Simplify 0 into 0 1546420560.730 * [misc]backup-simplify: Simplify 0 into 0 1546420560.730 * [misc]backup-simplify: Simplify 0 into 0 1546420560.730 * [misc]backup-simplify: Simplify 0 into 0 1546420560.730 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1546420560.730 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) 1546420560.730 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1546420560.730 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1546420560.730 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420560.730 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420560.730 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420560.730 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.730 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.731 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.731 * [misc]taylor: Taking taylor expansion of k in k 1546420560.731 * [misc]backup-simplify: Simplify 0 into 0 1546420560.731 * [misc]backup-simplify: Simplify 1 into 1 1546420560.731 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420560.731 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420560.731 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.731 * [misc]backup-simplify: Simplify 2 into 2 1546420560.731 * [misc]taylor: Taking taylor expansion of n in k 1546420560.731 * [misc]backup-simplify: Simplify n into n 1546420560.731 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420560.731 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420560.731 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.731 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.731 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.731 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420560.731 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420560.731 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420560.731 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420560.731 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420560.732 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420560.732 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.732 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420560.732 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.732 * [misc]taylor: Taking taylor expansion of k in n 1546420560.732 * [misc]backup-simplify: Simplify k into k 1546420560.732 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420560.732 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420560.732 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.732 * [misc]backup-simplify: Simplify 2 into 2 1546420560.732 * [misc]taylor: Taking taylor expansion of n in n 1546420560.732 * [misc]backup-simplify: Simplify 0 into 0 1546420560.732 * [misc]backup-simplify: Simplify 1 into 1 1546420560.732 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420560.732 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420560.732 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.732 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420560.732 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420560.732 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420560.733 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.733 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420560.736 * [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)))) 1546420560.736 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.736 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.736 * [misc]taylor: Taking taylor expansion of k in n 1546420560.736 * [misc]backup-simplify: Simplify k into k 1546420560.736 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420560.736 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.736 * [misc]backup-simplify: Simplify 2 into 2 1546420560.736 * [misc]taylor: Taking taylor expansion of n in n 1546420560.736 * [misc]backup-simplify: Simplify 0 into 0 1546420560.736 * [misc]backup-simplify: Simplify 1 into 1 1546420560.736 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420560.737 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420560.737 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.737 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420560.737 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420560.737 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420560.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.737 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420560.737 * [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)))) 1546420560.738 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.738 * [misc]backup-simplify: Simplify 2 into 2 1546420560.738 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.738 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of n in k 1546420560.738 * [misc]backup-simplify: Simplify n into n 1546420560.738 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420560.738 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.738 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.738 * [misc]taylor: Taking taylor expansion of k in k 1546420560.738 * [misc]backup-simplify: Simplify 0 into 0 1546420560.738 * [misc]backup-simplify: Simplify 1 into 1 1546420560.738 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1546420560.738 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.738 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.738 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.739 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1546420560.739 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546420560.739 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1546420560.739 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546420560.741 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420560.741 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1546420560.741 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.741 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1546420560.742 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420560.742 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.742 * [misc]backup-simplify: Simplify 0 into 0 1546420560.742 * [misc]backup-simplify: Simplify 0 into 0 1546420560.742 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420560.742 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.743 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.744 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420560.744 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1546420560.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.745 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1546420560.745 * [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))))) 1546420560.746 * [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))))) 1546420560.746 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420560.748 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546420560.749 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1546420560.749 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.749 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.749 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.749 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1546420560.751 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1546420560.751 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.751 * [misc]backup-simplify: Simplify 0 into 0 1546420560.751 * [misc]backup-simplify: Simplify 0 into 0 1546420560.751 * [misc]backup-simplify: Simplify 0 into 0 1546420560.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420560.751 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.754 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546420560.754 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1546420560.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.755 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1546420560.756 * [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))))) 1546420560.757 * [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))))) 1546420560.758 * [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))))) 1546420560.758 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.758 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1546420560.758 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420560.758 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420560.758 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420560.758 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420560.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.759 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.759 * [misc]taylor: Taking taylor expansion of k in k 1546420560.759 * [misc]backup-simplify: Simplify 0 into 0 1546420560.759 * [misc]backup-simplify: Simplify 1 into 1 1546420560.759 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.759 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420560.759 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420560.759 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.759 * [misc]backup-simplify: Simplify 2 into 2 1546420560.759 * [misc]taylor: Taking taylor expansion of n in k 1546420560.759 * [misc]backup-simplify: Simplify n into n 1546420560.759 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420560.759 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420560.759 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.759 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.759 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.759 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420560.760 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.760 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.760 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of k in n 1546420560.760 * [misc]backup-simplify: Simplify k into k 1546420560.760 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.760 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420560.760 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.760 * [misc]backup-simplify: Simplify 2 into 2 1546420560.760 * [misc]taylor: Taking taylor expansion of n in n 1546420560.760 * [misc]backup-simplify: Simplify 0 into 0 1546420560.760 * [misc]backup-simplify: Simplify 1 into 1 1546420560.760 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420560.761 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.761 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.761 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420560.761 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420560.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.761 * [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))) 1546420560.762 * [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)))) 1546420560.762 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of k in n 1546420560.762 * [misc]backup-simplify: Simplify k into k 1546420560.762 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.762 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420560.762 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.762 * [misc]backup-simplify: Simplify 2 into 2 1546420560.762 * [misc]taylor: Taking taylor expansion of n in n 1546420560.762 * [misc]backup-simplify: Simplify 0 into 0 1546420560.762 * [misc]backup-simplify: Simplify 1 into 1 1546420560.763 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420560.763 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.763 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.763 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420560.763 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420560.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.764 * [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))) 1546420560.764 * [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)))) 1546420560.764 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1546420560.764 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1546420560.764 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420560.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.764 * [misc]taylor: Taking taylor expansion of k in k 1546420560.764 * [misc]backup-simplify: Simplify 0 into 0 1546420560.764 * [misc]backup-simplify: Simplify 1 into 1 1546420560.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.765 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1546420560.765 * [misc]taylor: Taking taylor expansion of (log 2) in k 1546420560.765 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.765 * [misc]backup-simplify: Simplify 2 into 2 1546420560.765 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.765 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420560.765 * [misc]taylor: Taking taylor expansion of n in k 1546420560.765 * [misc]backup-simplify: Simplify n into n 1546420560.765 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420560.765 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.765 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.765 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.765 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420560.766 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1546420560.766 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1546420560.766 * [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)))) 1546420560.767 * [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)))) 1546420560.767 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546420560.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420560.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420560.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420560.770 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.771 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546420560.772 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420560.772 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.773 * [misc]backup-simplify: Simplify 0 into 0 1546420560.773 * [misc]backup-simplify: Simplify 0 into 0 1546420560.773 * [misc]backup-simplify: Simplify 0 into 0 1546420560.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420560.777 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1546420560.777 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420560.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420560.778 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.779 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1546420560.781 * [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 1546420560.781 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.781 * [misc]backup-simplify: Simplify 0 into 0 1546420560.781 * [misc]backup-simplify: Simplify 0 into 0 1546420560.781 * [misc]backup-simplify: Simplify 0 into 0 1546420560.781 * [misc]backup-simplify: Simplify 0 into 0 1546420560.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420560.788 * [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 1546420560.788 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420560.789 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420560.789 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.789 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.789 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.790 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1546420560.794 * [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 1546420560.794 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.794 * [misc]backup-simplify: Simplify 0 into 0 1546420560.794 * [misc]backup-simplify: Simplify 0 into 0 1546420560.794 * [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)))) 1546420560.794 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.794 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1546420560.794 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420560.794 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420560.794 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420560.795 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420560.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.795 * [misc]taylor: Taking taylor expansion of k in k 1546420560.795 * [misc]backup-simplify: Simplify 0 into 0 1546420560.795 * [misc]backup-simplify: Simplify 1 into 1 1546420560.795 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.795 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.795 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420560.795 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420560.795 * [misc]taylor: Taking taylor expansion of -2 in k 1546420560.795 * [misc]backup-simplify: Simplify -2 into -2 1546420560.795 * [misc]taylor: Taking taylor expansion of n in k 1546420560.795 * [misc]backup-simplify: Simplify n into n 1546420560.795 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420560.795 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420560.795 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.796 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.796 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420560.796 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.796 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.796 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of k in n 1546420560.796 * [misc]backup-simplify: Simplify k into k 1546420560.796 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.796 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420560.796 * [misc]taylor: Taking taylor expansion of -2 in n 1546420560.796 * [misc]backup-simplify: Simplify -2 into -2 1546420560.796 * [misc]taylor: Taking taylor expansion of n in n 1546420560.796 * [misc]backup-simplify: Simplify 0 into 0 1546420560.797 * [misc]backup-simplify: Simplify 1 into 1 1546420560.797 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420560.797 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.797 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.797 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420560.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.798 * [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))) 1546420560.798 * [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)))) 1546420560.798 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420560.798 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420560.798 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420560.798 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420560.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.798 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.798 * [misc]taylor: Taking taylor expansion of k in n 1546420560.798 * [misc]backup-simplify: Simplify k into k 1546420560.798 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.799 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420560.799 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420560.799 * [misc]taylor: Taking taylor expansion of -2 in n 1546420560.799 * [misc]backup-simplify: Simplify -2 into -2 1546420560.799 * [misc]taylor: Taking taylor expansion of n in n 1546420560.799 * [misc]backup-simplify: Simplify 0 into 0 1546420560.799 * [misc]backup-simplify: Simplify 1 into 1 1546420560.799 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420560.799 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.799 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.799 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420560.800 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.800 * [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))) 1546420560.800 * [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)))) 1546420560.800 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1546420560.800 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1546420560.800 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420560.800 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.801 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.801 * [misc]taylor: Taking taylor expansion of k in k 1546420560.801 * [misc]backup-simplify: Simplify 0 into 0 1546420560.801 * [misc]backup-simplify: Simplify 1 into 1 1546420560.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.801 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1546420560.801 * [misc]taylor: Taking taylor expansion of (log -2) in k 1546420560.801 * [misc]taylor: Taking taylor expansion of -2 in k 1546420560.801 * [misc]backup-simplify: Simplify -2 into -2 1546420560.801 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.801 * [misc]taylor: Taking taylor expansion of (log n) in k 1546420560.801 * [misc]taylor: Taking taylor expansion of n in k 1546420560.801 * [misc]backup-simplify: Simplify n into n 1546420560.801 * [misc]backup-simplify: Simplify (log n) into (log n) 1546420560.802 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.802 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.802 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1546420560.802 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1546420560.802 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1546420560.803 * [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)))) 1546420560.803 * [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)))) 1546420560.803 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546420560.806 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546420560.806 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420560.806 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420560.807 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.807 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.807 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546420560.809 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420560.809 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.809 * [misc]backup-simplify: Simplify 0 into 0 1546420560.809 * [misc]backup-simplify: Simplify 0 into 0 1546420560.809 * [misc]backup-simplify: Simplify 0 into 0 1546420560.809 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420560.813 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1546420560.814 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420560.814 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1546420560.814 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.815 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.815 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1546420560.817 * [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 1546420560.817 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.817 * [misc]backup-simplify: Simplify 0 into 0 1546420560.817 * [misc]backup-simplify: Simplify 0 into 0 1546420560.818 * [misc]backup-simplify: Simplify 0 into 0 1546420560.818 * [misc]backup-simplify: Simplify 0 into 0 1546420560.818 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420560.825 * [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 1546420560.825 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1546420560.826 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1546420560.826 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.827 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1546420560.830 * [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 1546420560.830 * [misc]taylor: Taking taylor expansion of 0 in k 1546420560.830 * [misc]backup-simplify: Simplify 0 into 0 1546420560.830 * [misc]backup-simplify: Simplify 0 into 0 1546420560.831 * [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))))) 1546420560.831 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1546420560.831 * [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)) 1546420560.831 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1546420560.831 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.831 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420560.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.832 * [misc]taylor: Taking taylor expansion of k in n 1546420560.832 * [misc]backup-simplify: Simplify k into k 1546420560.832 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420560.832 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420560.832 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.832 * [misc]backup-simplify: Simplify 2 into 2 1546420560.832 * [misc]taylor: Taking taylor expansion of n in n 1546420560.832 * [misc]backup-simplify: Simplify 0 into 0 1546420560.832 * [misc]backup-simplify: Simplify 1 into 1 1546420560.832 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420560.832 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420560.832 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.832 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420560.832 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420560.832 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420560.833 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.833 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420560.833 * [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)))) 1546420560.834 * [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))))) 1546420560.834 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420560.834 * [misc]taylor: Taking taylor expansion of k in n 1546420560.834 * [misc]backup-simplify: Simplify k into k 1546420560.834 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420560.834 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420560.834 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.834 * [misc]taylor: Taking taylor expansion of k in k 1546420560.834 * [misc]backup-simplify: Simplify 0 into 0 1546420560.834 * [misc]backup-simplify: Simplify 1 into 1 1546420560.834 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420560.834 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.834 * [misc]backup-simplify: Simplify 2 into 2 1546420560.834 * [misc]taylor: Taking taylor expansion of n in k 1546420560.834 * [misc]backup-simplify: Simplify n into n 1546420560.834 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420560.834 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420560.835 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.835 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.835 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.835 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420560.835 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420560.835 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546420560.835 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420560.835 * [misc]taylor: Taking taylor expansion of k in k 1546420560.835 * [misc]backup-simplify: Simplify 0 into 0 1546420560.835 * [misc]backup-simplify: Simplify 1 into 1 1546420560.835 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.836 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.836 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.836 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.836 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.836 * [misc]taylor: Taking taylor expansion of k in k 1546420560.836 * [misc]backup-simplify: Simplify 0 into 0 1546420560.837 * [misc]backup-simplify: Simplify 1 into 1 1546420560.837 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420560.837 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420560.837 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.837 * [misc]backup-simplify: Simplify 2 into 2 1546420560.837 * [misc]taylor: Taking taylor expansion of n in k 1546420560.837 * [misc]backup-simplify: Simplify n into n 1546420560.837 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420560.837 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420560.837 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.837 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.837 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.837 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420560.838 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420560.838 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1546420560.838 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420560.838 * [misc]taylor: Taking taylor expansion of k in k 1546420560.838 * [misc]backup-simplify: Simplify 0 into 0 1546420560.838 * [misc]backup-simplify: Simplify 1 into 1 1546420560.838 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.838 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.839 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1546420560.839 * [misc]taylor: Taking taylor expansion of 0 in n 1546420560.839 * [misc]backup-simplify: Simplify 0 into 0 1546420560.839 * [misc]backup-simplify: Simplify 0 into 0 1546420560.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546420560.840 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546420560.840 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420560.840 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.840 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546420560.841 * [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)))) 1546420560.842 * [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)))) 1546420560.843 * [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)))) 1546420560.843 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546420560.843 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546420560.843 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.843 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.843 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546420560.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546420560.843 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546420560.843 * [misc]taylor: Taking taylor expansion of n in n 1546420560.843 * [misc]backup-simplify: Simplify 0 into 0 1546420560.843 * [misc]backup-simplify: Simplify 1 into 1 1546420560.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.844 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.844 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420560.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.844 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420560.844 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420560.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.845 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546420560.846 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546420560.847 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.848 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.848 * [misc]backup-simplify: Simplify 0 into 0 1546420560.849 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420560.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546420560.851 * [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 1546420560.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420560.852 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.852 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546420560.853 * [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))) 1546420560.855 * [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))))) 1546420560.859 * [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)))))) 1546420560.859 * [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 1546420560.859 * [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 1546420560.859 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1546420560.859 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.859 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.859 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1546420560.859 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1546420560.859 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420560.859 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.859 * [misc]backup-simplify: Simplify 2 into 2 1546420560.859 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420560.860 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420560.860 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1546420560.860 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420560.860 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420560.860 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.860 * [misc]backup-simplify: Simplify 2 into 2 1546420560.860 * [misc]taylor: Taking taylor expansion of n in n 1546420560.860 * [misc]backup-simplify: Simplify 0 into 0 1546420560.860 * [misc]backup-simplify: Simplify 1 into 1 1546420560.860 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420560.860 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420560.860 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.861 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1546420560.861 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420560.861 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.861 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.861 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420560.861 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420560.861 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546420560.861 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546420560.861 * [misc]taylor: Taking taylor expansion of n in n 1546420560.861 * [misc]backup-simplify: Simplify 0 into 0 1546420560.861 * [misc]backup-simplify: Simplify 1 into 1 1546420560.861 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.861 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.862 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.862 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1546420560.862 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1546420560.862 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.862 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.862 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1546420560.862 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1546420560.862 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1546420560.862 * [misc]taylor: Taking taylor expansion of n in n 1546420560.862 * [misc]backup-simplify: Simplify 0 into 0 1546420560.862 * [misc]backup-simplify: Simplify 1 into 1 1546420560.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.863 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.863 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1546420560.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.863 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1546420560.863 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1546420560.864 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.864 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1546420560.865 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1546420560.866 * [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))) 1546420560.866 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.866 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1546420560.867 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546420560.869 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420560.870 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1546420560.871 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1546420560.873 * [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))))))) 1546420560.874 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1546420560.877 * [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))))))) 1546420560.878 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.878 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1546420560.880 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1546420560.880 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.885 * [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))))))))) 1546420560.889 * [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))))))) 1546420560.892 * [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))))))) 1546420560.894 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1546420560.894 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420560.895 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420560.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.898 * [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))) 1546420560.899 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.899 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1546420560.905 * [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)))))))))))) 1546420560.905 * [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))) 1546420560.905 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1546420560.905 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.905 * [misc]taylor: Taking taylor expansion of k in n 1546420560.905 * [misc]backup-simplify: Simplify k into k 1546420560.906 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.906 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420560.906 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420560.906 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.906 * [misc]backup-simplify: Simplify 2 into 2 1546420560.906 * [misc]taylor: Taking taylor expansion of n in n 1546420560.906 * [misc]backup-simplify: Simplify 0 into 0 1546420560.906 * [misc]backup-simplify: Simplify 1 into 1 1546420560.906 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420560.906 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.906 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.906 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420560.906 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420560.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.907 * [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))) 1546420560.907 * [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)))) 1546420560.908 * [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))))) 1546420560.908 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420560.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.908 * [misc]taylor: Taking taylor expansion of k in n 1546420560.908 * [misc]backup-simplify: Simplify k into k 1546420560.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.908 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420560.908 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420560.908 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420560.908 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546420560.908 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420560.908 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420560.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420560.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420560.909 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420560.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.909 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.909 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.909 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.909 * [misc]taylor: Taking taylor expansion of k in k 1546420560.909 * [misc]backup-simplify: Simplify 0 into 0 1546420560.909 * [misc]backup-simplify: Simplify 1 into 1 1546420560.909 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.909 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420560.909 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420560.909 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.909 * [misc]backup-simplify: Simplify 2 into 2 1546420560.909 * [misc]taylor: Taking taylor expansion of n in k 1546420560.909 * [misc]backup-simplify: Simplify n into n 1546420560.909 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420560.909 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420560.909 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.910 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.910 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.910 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420560.910 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.910 * [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))))) 1546420560.910 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420560.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.910 * [misc]taylor: Taking taylor expansion of k in k 1546420560.910 * [misc]backup-simplify: Simplify 0 into 0 1546420560.910 * [misc]backup-simplify: Simplify 1 into 1 1546420560.911 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.911 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.911 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.911 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1546420560.911 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1546420560.911 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420560.911 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420560.911 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420560.911 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420560.911 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.912 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.912 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.912 * [misc]taylor: Taking taylor expansion of k in k 1546420560.912 * [misc]backup-simplify: Simplify 0 into 0 1546420560.912 * [misc]backup-simplify: Simplify 1 into 1 1546420560.912 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.912 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420560.912 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420560.912 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.912 * [misc]backup-simplify: Simplify 2 into 2 1546420560.912 * [misc]taylor: Taking taylor expansion of n in k 1546420560.912 * [misc]backup-simplify: Simplify n into n 1546420560.912 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420560.912 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420560.912 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.912 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.913 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.913 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420560.913 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420560.913 * [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))))) 1546420560.913 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420560.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.913 * [misc]taylor: Taking taylor expansion of k in k 1546420560.913 * [misc]backup-simplify: Simplify 0 into 0 1546420560.913 * [misc]backup-simplify: Simplify 1 into 1 1546420560.913 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.914 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.914 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.914 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1546420560.914 * [misc]taylor: Taking taylor expansion of 0 in n 1546420560.914 * [misc]backup-simplify: Simplify 0 into 0 1546420560.914 * [misc]backup-simplify: Simplify 0 into 0 1546420560.915 * [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 1546420560.915 * [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))))))) 1546420560.915 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.915 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.915 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420560.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.916 * [misc]taylor: Taking taylor expansion of k in n 1546420560.916 * [misc]backup-simplify: Simplify k into k 1546420560.916 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.916 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420560.916 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420560.916 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.916 * [misc]backup-simplify: Simplify 2 into 2 1546420560.916 * [misc]taylor: Taking taylor expansion of n in n 1546420560.916 * [misc]backup-simplify: Simplify 0 into 0 1546420560.916 * [misc]backup-simplify: Simplify 1 into 1 1546420560.916 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420560.916 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.916 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.916 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420560.917 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420560.917 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.917 * [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))) 1546420560.917 * [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)))) 1546420560.918 * [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))))) 1546420560.918 * [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))))) 1546420560.919 * [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))))))) 1546420560.919 * [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))))))) 1546420560.919 * [misc]backup-simplify: Simplify 0 into 0 1546420560.919 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420560.921 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420560.921 * [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 1546420560.922 * [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))))))) 1546420560.922 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.922 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.922 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of k in n 1546420560.922 * [misc]backup-simplify: Simplify k into k 1546420560.922 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.922 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420560.922 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.922 * [misc]backup-simplify: Simplify 2 into 2 1546420560.922 * [misc]taylor: Taking taylor expansion of n in n 1546420560.922 * [misc]backup-simplify: Simplify 0 into 0 1546420560.922 * [misc]backup-simplify: Simplify 1 into 1 1546420560.923 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420560.923 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.923 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.923 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420560.923 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420560.923 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.924 * [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))) 1546420560.924 * [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)))) 1546420560.924 * [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))))) 1546420560.925 * [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))))) 1546420560.925 * [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))))))) 1546420560.926 * [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))))))) 1546420560.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546420560.928 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420560.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420560.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420560.929 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.929 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.930 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546420560.931 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420560.932 * [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 1546420560.932 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1546420560.932 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.932 * [misc]backup-simplify: Simplify 0 into 0 1546420560.933 * [misc]backup-simplify: Simplify 0 into 0 1546420560.933 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420560.934 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420560.935 * [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 1546420560.935 * [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))))))) 1546420560.935 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1546420560.935 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420560.935 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.936 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.936 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.936 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of k in n 1546420560.936 * [misc]backup-simplify: Simplify k into k 1546420560.936 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.936 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420560.936 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.936 * [misc]backup-simplify: Simplify 2 into 2 1546420560.936 * [misc]taylor: Taking taylor expansion of n in n 1546420560.936 * [misc]backup-simplify: Simplify 0 into 0 1546420560.936 * [misc]backup-simplify: Simplify 1 into 1 1546420560.936 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420560.936 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.937 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.937 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420560.937 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420560.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420560.937 * [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))) 1546420560.938 * [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)))) 1546420560.938 * [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))))) 1546420560.939 * [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))))) 1546420560.939 * [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))))))) 1546420560.939 * [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))))))) 1546420560.941 * [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))))))))))) 1546420560.941 * [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))) 1546420560.941 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1546420560.941 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420560.941 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420560.941 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of -1 in n 1546420560.942 * [misc]backup-simplify: Simplify -1 into -1 1546420560.942 * [misc]taylor: Taking taylor expansion of k in n 1546420560.942 * [misc]backup-simplify: Simplify k into k 1546420560.942 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420560.942 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420560.942 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420560.942 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420560.942 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.942 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of k in n 1546420560.942 * [misc]backup-simplify: Simplify k into k 1546420560.942 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.942 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.942 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420560.942 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420560.943 * [misc]taylor: Taking taylor expansion of -2 in n 1546420560.943 * [misc]backup-simplify: Simplify -2 into -2 1546420560.943 * [misc]taylor: Taking taylor expansion of n in n 1546420560.943 * [misc]backup-simplify: Simplify 0 into 0 1546420560.943 * [misc]backup-simplify: Simplify 1 into 1 1546420560.943 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420560.943 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.943 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.943 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420560.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.944 * [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))) 1546420560.944 * [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)))) 1546420560.945 * [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))))) 1546420560.945 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546420560.945 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420560.945 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420560.945 * [misc]taylor: Taking taylor expansion of -1 in k 1546420560.945 * [misc]backup-simplify: Simplify -1 into -1 1546420560.945 * [misc]taylor: Taking taylor expansion of k in k 1546420560.945 * [misc]backup-simplify: Simplify 0 into 0 1546420560.945 * [misc]backup-simplify: Simplify 1 into 1 1546420560.945 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420560.945 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.946 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420560.946 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420560.946 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420560.946 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420560.946 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420560.946 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.946 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.946 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.946 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.946 * [misc]taylor: Taking taylor expansion of k in k 1546420560.946 * [misc]backup-simplify: Simplify 0 into 0 1546420560.946 * [misc]backup-simplify: Simplify 1 into 1 1546420560.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.947 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420560.947 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420560.947 * [misc]taylor: Taking taylor expansion of -2 in k 1546420560.947 * [misc]backup-simplify: Simplify -2 into -2 1546420560.947 * [misc]taylor: Taking taylor expansion of n in k 1546420560.947 * [misc]backup-simplify: Simplify n into n 1546420560.947 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420560.947 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420560.947 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.947 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.947 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420560.948 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.948 * [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))) 1546420560.948 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1546420560.948 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420560.948 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420560.948 * [misc]taylor: Taking taylor expansion of -1 in k 1546420560.948 * [misc]backup-simplify: Simplify -1 into -1 1546420560.948 * [misc]taylor: Taking taylor expansion of k in k 1546420560.948 * [misc]backup-simplify: Simplify 0 into 0 1546420560.948 * [misc]backup-simplify: Simplify 1 into 1 1546420560.948 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420560.948 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.949 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420560.949 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of k in k 1546420560.949 * [misc]backup-simplify: Simplify 0 into 0 1546420560.949 * [misc]backup-simplify: Simplify 1 into 1 1546420560.949 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.949 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.949 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420560.949 * [misc]taylor: Taking taylor expansion of -2 in k 1546420560.949 * [misc]backup-simplify: Simplify -2 into -2 1546420560.949 * [misc]taylor: Taking taylor expansion of n in k 1546420560.950 * [misc]backup-simplify: Simplify n into n 1546420560.950 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420560.950 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420560.950 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420560.950 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.950 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420560.950 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420560.950 * [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))) 1546420560.951 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.951 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.951 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.951 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of k in n 1546420560.951 * [misc]backup-simplify: Simplify k into k 1546420560.951 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.951 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.951 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420560.951 * [misc]taylor: Taking taylor expansion of -2 in n 1546420560.951 * [misc]backup-simplify: Simplify -2 into -2 1546420560.951 * [misc]taylor: Taking taylor expansion of n in n 1546420560.951 * [misc]backup-simplify: Simplify 0 into 0 1546420560.951 * [misc]backup-simplify: Simplify 1 into 1 1546420560.952 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420560.952 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.952 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.952 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420560.952 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.953 * [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))) 1546420560.953 * [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)))) 1546420560.953 * [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))))) 1546420560.954 * [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))))) 1546420560.954 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420560.955 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420560.956 * [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))))) 1546420560.956 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.956 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.956 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.956 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of k in n 1546420560.956 * [misc]backup-simplify: Simplify k into k 1546420560.956 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.956 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.956 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420560.956 * [misc]taylor: Taking taylor expansion of -2 in n 1546420560.956 * [misc]backup-simplify: Simplify -2 into -2 1546420560.956 * [misc]taylor: Taking taylor expansion of n in n 1546420560.956 * [misc]backup-simplify: Simplify 0 into 0 1546420560.956 * [misc]backup-simplify: Simplify 1 into 1 1546420560.957 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420560.957 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.957 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.957 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420560.957 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.958 * [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))) 1546420560.958 * [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)))) 1546420560.959 * [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))))) 1546420560.959 * [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))))) 1546420560.959 * [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))))))) 1546420560.960 * [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))))))) 1546420560.960 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546420560.963 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546420560.963 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420560.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420560.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.963 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.964 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546420560.965 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420560.966 * [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 1546420560.966 * [misc]backup-simplify: Simplify 0 into 0 1546420560.967 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420560.968 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420560.969 * [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))))) 1546420560.969 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.969 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.969 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.969 * [misc]taylor: Taking taylor expansion of k in n 1546420560.969 * [misc]backup-simplify: Simplify k into k 1546420560.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.970 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420560.970 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420560.970 * [misc]taylor: Taking taylor expansion of -2 in n 1546420560.970 * [misc]backup-simplify: Simplify -2 into -2 1546420560.970 * [misc]taylor: Taking taylor expansion of n in n 1546420560.970 * [misc]backup-simplify: Simplify 0 into 0 1546420560.970 * [misc]backup-simplify: Simplify 1 into 1 1546420560.970 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420560.970 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420560.970 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420560.970 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420560.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420560.971 * [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))) 1546420560.972 * [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)))) 1546420560.972 * [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))))) 1546420560.972 * [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))))) 1546420560.973 * [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))))))) 1546420560.973 * [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))))))) 1546420560.975 * [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))))))))) 1546420560.975 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1546420560.975 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1546420560.975 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (k n) around 0 1546420560.975 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.976 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420560.976 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.976 * [misc]taylor: Taking taylor expansion of k in n 1546420560.976 * [misc]backup-simplify: Simplify k into k 1546420560.976 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420560.976 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.976 * [misc]backup-simplify: Simplify 2 into 2 1546420560.976 * [misc]taylor: Taking taylor expansion of n in n 1546420560.976 * [misc]backup-simplify: Simplify 0 into 0 1546420560.976 * [misc]backup-simplify: Simplify 1 into 1 1546420560.976 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420560.977 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420560.977 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.977 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1546420560.977 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1546420560.977 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1546420560.977 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.978 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1546420560.978 * [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)))) 1546420560.978 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1546420560.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420560.978 * [misc]taylor: Taking taylor expansion of k in n 1546420560.978 * [misc]backup-simplify: Simplify k into k 1546420560.978 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420560.978 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1546420560.978 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420560.978 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1546420560.978 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546420560.978 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420560.978 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420560.979 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420560.979 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.979 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.979 * [misc]taylor: Taking taylor expansion of k in k 1546420560.979 * [misc]backup-simplify: Simplify 0 into 0 1546420560.979 * [misc]backup-simplify: Simplify 1 into 1 1546420560.979 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420560.979 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420560.979 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.979 * [misc]backup-simplify: Simplify 2 into 2 1546420560.979 * [misc]taylor: Taking taylor expansion of n in k 1546420560.979 * [misc]backup-simplify: Simplify n into n 1546420560.979 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420560.979 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420560.979 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.979 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.980 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.980 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420560.980 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420560.980 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420560.980 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.980 * [misc]taylor: Taking taylor expansion of k in k 1546420560.980 * [misc]backup-simplify: Simplify 0 into 0 1546420560.980 * [misc]backup-simplify: Simplify 1 into 1 1546420560.980 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.981 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.981 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.981 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420560.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420560.981 * [misc]taylor: Taking taylor expansion of k in k 1546420560.981 * [misc]backup-simplify: Simplify 0 into 0 1546420560.981 * [misc]backup-simplify: Simplify 1 into 1 1546420560.981 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1546420560.981 * [misc]taylor: Taking taylor expansion of 2 in k 1546420560.981 * [misc]backup-simplify: Simplify 2 into 2 1546420560.981 * [misc]taylor: Taking taylor expansion of n in k 1546420560.981 * [misc]backup-simplify: Simplify n into n 1546420560.981 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1546420560.981 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1546420560.982 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1546420560.982 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.982 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420560.982 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1546420560.982 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1546420560.982 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1546420560.982 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420560.982 * [misc]taylor: Taking taylor expansion of k in k 1546420560.982 * [misc]backup-simplify: Simplify 0 into 0 1546420560.982 * [misc]backup-simplify: Simplify 1 into 1 1546420560.982 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420560.983 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.983 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.983 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) 0) into 0 1546420560.983 * [misc]taylor: Taking taylor expansion of 0 in n 1546420560.983 * [misc]backup-simplify: Simplify 0 into 0 1546420560.983 * [misc]backup-simplify: Simplify 0 into 0 1546420560.984 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1546420560.984 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1546420560.985 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1546420560.985 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420560.985 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420560.985 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1546420560.986 * [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)))) 1546420560.986 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt n)))) 1546420560.986 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt n)))) in n 1546420560.986 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 1546420560.986 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.986 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.986 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 1546420560.986 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420560.986 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.986 * [misc]backup-simplify: Simplify 2 into 2 1546420560.986 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420560.986 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420560.987 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546420560.987 * [misc]taylor: Taking taylor expansion of n in n 1546420560.987 * [misc]backup-simplify: Simplify 0 into 0 1546420560.987 * [misc]backup-simplify: Simplify 1 into 1 1546420560.987 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.987 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.987 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420560.988 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420560.988 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.988 * [misc]backup-simplify: Simplify 0 into 0 1546420560.988 * [misc]backup-simplify: Simplify 0 into 0 1546420560.988 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1546420560.989 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420560.990 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1546420560.991 * [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 1546420560.991 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1546420560.991 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.992 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1546420560.993 * [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))) 1546420560.994 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) +nan.0) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))))) 1546420560.994 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))))) in n 1546420560.994 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))))) in n 1546420560.994 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 1546420560.994 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.994 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.994 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 1546420560.994 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420560.994 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.994 * [misc]backup-simplify: Simplify 2 into 2 1546420560.994 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420560.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420560.994 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546420560.994 * [misc]taylor: Taking taylor expansion of n in n 1546420560.994 * [misc]backup-simplify: Simplify 0 into 0 1546420560.994 * [misc]backup-simplify: Simplify 1 into 1 1546420560.995 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.995 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.995 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n)))) in n 1546420560.995 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) in n 1546420560.995 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420560.995 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420560.995 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt n)) in n 1546420560.995 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546420560.995 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420560.995 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.995 * [misc]backup-simplify: Simplify 2 into 2 1546420560.996 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420560.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420560.996 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420560.996 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420560.996 * [misc]taylor: Taking taylor expansion of 2 in n 1546420560.996 * [misc]backup-simplify: Simplify 2 into 2 1546420560.996 * [misc]taylor: Taking taylor expansion of n in n 1546420560.996 * [misc]backup-simplify: Simplify 0 into 0 1546420560.996 * [misc]backup-simplify: Simplify 1 into 1 1546420560.996 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420560.996 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420560.997 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420560.997 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546420560.997 * [misc]taylor: Taking taylor expansion of n in n 1546420560.997 * [misc]backup-simplify: Simplify 0 into 0 1546420560.997 * [misc]backup-simplify: Simplify 1 into 1 1546420560.997 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420560.997 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420560.997 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420560.998 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420560.998 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420560.998 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546420560.999 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546420560.999 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420560.999 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420560.999 * [misc]backup-simplify: Simplify (- 0) into 0 1546420560.999 * [misc]backup-simplify: Simplify 0 into 0 1546420561.000 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546420561.002 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546420561.002 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 1546420561.003 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1546420561.003 * [misc]backup-simplify: Simplify 0 into 0 1546420561.003 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420561.004 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420561.005 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1546420561.007 * [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 1546420561.008 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1546420561.008 * [misc]backup-simplify: Simplify (- 0) into 0 1546420561.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420561.009 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1546420561.010 * [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))) 1546420561.011 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))))) 1546420561.011 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))))) in n 1546420561.012 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))))))) in n 1546420561.012 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt n))) in n 1546420561.012 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.012 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.012 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt n)) in n 1546420561.012 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420561.012 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.012 * [misc]backup-simplify: Simplify 2 into 2 1546420561.012 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420561.012 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420561.012 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546420561.012 * [misc]taylor: Taking taylor expansion of n in n 1546420561.012 * [misc]backup-simplify: Simplify 0 into 0 1546420561.012 * [misc]backup-simplify: Simplify 1 into 1 1546420561.012 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.013 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420561.013 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))))) in n 1546420561.013 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))))) in n 1546420561.013 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt n))) in n 1546420561.013 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.013 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.013 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt n)) in n 1546420561.013 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1546420561.013 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420561.013 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.013 * [misc]backup-simplify: Simplify 2 into 2 1546420561.013 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420561.014 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420561.014 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420561.014 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420561.014 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.014 * [misc]backup-simplify: Simplify 2 into 2 1546420561.014 * [misc]taylor: Taking taylor expansion of n in n 1546420561.014 * [misc]backup-simplify: Simplify 0 into 0 1546420561.014 * [misc]backup-simplify: Simplify 1 into 1 1546420561.014 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420561.014 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420561.014 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420561.014 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546420561.014 * [misc]taylor: Taking taylor expansion of n in n 1546420561.014 * [misc]backup-simplify: Simplify 0 into 0 1546420561.014 * [misc]backup-simplify: Simplify 1 into 1 1546420561.015 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.015 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420561.015 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)))) in n 1546420561.015 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n))) in n 1546420561.015 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.015 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.015 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt n)) in n 1546420561.015 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1546420561.015 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1546420561.015 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.015 * [misc]backup-simplify: Simplify 2 into 2 1546420561.015 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1546420561.016 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1546420561.016 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1546420561.016 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1546420561.016 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1546420561.016 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.016 * [misc]backup-simplify: Simplify 2 into 2 1546420561.016 * [misc]taylor: Taking taylor expansion of n in n 1546420561.016 * [misc]backup-simplify: Simplify 0 into 0 1546420561.016 * [misc]backup-simplify: Simplify 1 into 1 1546420561.016 * [misc]backup-simplify: Simplify (* 2 0) into 0 1546420561.016 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1546420561.016 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420561.017 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420561.017 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1546420561.017 * [misc]taylor: Taking taylor expansion of n in n 1546420561.017 * [misc]backup-simplify: Simplify 0 into 0 1546420561.017 * [misc]backup-simplify: Simplify 1 into 1 1546420561.017 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.018 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420561.018 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1546420561.018 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420561.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420561.019 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1546420561.019 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1546420561.019 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420561.020 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420561.020 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420561.020 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1546420561.021 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1546420561.021 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify (- 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify (- 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify (- 0) into 0 1546420561.022 * [misc]backup-simplify: Simplify 0 into 0 1546420561.023 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546420561.024 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1546420561.025 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1546420561.027 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420561.028 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1546420561.028 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1546420561.029 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 1546420561.030 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 1546420561.031 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) into (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))) 1546420561.033 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (sqrt 2))) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 1546420561.034 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n))))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 1546420561.036 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) into (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) 1546420561.037 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420561.038 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1546420561.039 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2))) 1546420561.040 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 2)))) (+ (* 0 (- (* +nan.0 (sqrt 2)))) (* 0 0))) into (- (* +nan.0 (sqrt 2))) 1546420561.041 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 1546420561.041 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1546420561.045 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 2))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (sqrt 2)) (- (+ (* +nan.0 (* (log 2) (sqrt 2))) (- (* +nan.0 (* (sqrt 2) (log n)))))))) (* n k)) (* (- (* +nan.0 (sqrt 2))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n k))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* (log n) k)))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n k)))) (- (* +nan.0 (* (sqrt 2) (pow n 2)))))))))))) 1546420561.045 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1546420561.045 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k n) around 0 1546420561.045 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1546420561.045 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420561.045 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.046 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.046 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of k in n 1546420561.046 * [misc]backup-simplify: Simplify k into k 1546420561.046 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.046 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420561.046 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.046 * [misc]backup-simplify: Simplify 2 into 2 1546420561.046 * [misc]taylor: Taking taylor expansion of n in n 1546420561.046 * [misc]backup-simplify: Simplify 0 into 0 1546420561.046 * [misc]backup-simplify: Simplify 1 into 1 1546420561.046 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420561.046 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420561.046 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.047 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420561.047 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420561.047 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420561.047 * [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))) 1546420561.048 * [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)))) 1546420561.048 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1546420561.048 * [misc]taylor: Taking taylor expansion of k in n 1546420561.048 * [misc]backup-simplify: Simplify k into k 1546420561.048 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1546420561.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1546420561.048 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.048 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of k in k 1546420561.048 * [misc]backup-simplify: Simplify 0 into 0 1546420561.048 * [misc]backup-simplify: Simplify 1 into 1 1546420561.048 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420561.048 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420561.048 * [misc]taylor: Taking taylor expansion of 2 in k 1546420561.048 * [misc]backup-simplify: Simplify 2 into 2 1546420561.048 * [misc]taylor: Taking taylor expansion of n in k 1546420561.048 * [misc]backup-simplify: Simplify n into n 1546420561.049 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420561.049 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420561.049 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420561.049 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420561.049 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420561.049 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420561.049 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420561.049 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420561.049 * [misc]taylor: Taking taylor expansion of k in k 1546420561.049 * [misc]backup-simplify: Simplify 0 into 0 1546420561.049 * [misc]backup-simplify: Simplify 1 into 1 1546420561.050 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.050 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420561.050 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420561.050 * [misc]taylor: Taking taylor expansion of k in k 1546420561.050 * [misc]backup-simplify: Simplify 0 into 0 1546420561.050 * [misc]backup-simplify: Simplify 1 into 1 1546420561.051 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420561.051 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1546420561.051 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1546420561.051 * [misc]taylor: Taking taylor expansion of 2 in k 1546420561.051 * [misc]backup-simplify: Simplify 2 into 2 1546420561.051 * [misc]taylor: Taking taylor expansion of n in k 1546420561.051 * [misc]backup-simplify: Simplify n into n 1546420561.051 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1546420561.051 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1546420561.051 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420561.051 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1546420561.051 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1546420561.052 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1546420561.052 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1546420561.052 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1546420561.052 * [misc]taylor: Taking taylor expansion of k in k 1546420561.052 * [misc]backup-simplify: Simplify 0 into 0 1546420561.052 * [misc]backup-simplify: Simplify 1 into 1 1546420561.052 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.052 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1546420561.053 * [misc]backup-simplify: Simplify (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0 1546420561.053 * [misc]taylor: Taking taylor expansion of 0 in n 1546420561.053 * [misc]backup-simplify: Simplify 0 into 0 1546420561.053 * [misc]backup-simplify: Simplify 0 into 0 1546420561.053 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1546420561.053 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.053 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.053 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.053 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.053 * [misc]taylor: Taking taylor expansion of k in n 1546420561.053 * [misc]backup-simplify: Simplify k into k 1546420561.054 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.054 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420561.054 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420561.054 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.054 * [misc]backup-simplify: Simplify 2 into 2 1546420561.054 * [misc]taylor: Taking taylor expansion of n in n 1546420561.054 * [misc]backup-simplify: Simplify 0 into 0 1546420561.054 * [misc]backup-simplify: Simplify 1 into 1 1546420561.054 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420561.054 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420561.054 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.054 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420561.054 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420561.055 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420561.055 * [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))) 1546420561.055 * [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)))) 1546420561.055 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546420561.056 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546420561.056 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546420561.056 * [misc]backup-simplify: Simplify 0 into 0 1546420561.057 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420561.058 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1546420561.058 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.058 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.058 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of k in n 1546420561.058 * [misc]backup-simplify: Simplify k into k 1546420561.058 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.058 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420561.058 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.058 * [misc]backup-simplify: Simplify 2 into 2 1546420561.058 * [misc]taylor: Taking taylor expansion of n in n 1546420561.058 * [misc]backup-simplify: Simplify 0 into 0 1546420561.058 * [misc]backup-simplify: Simplify 1 into 1 1546420561.058 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420561.059 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420561.059 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.059 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420561.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420561.059 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420561.059 * [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))) 1546420561.060 * [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)))) 1546420561.060 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546420561.060 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546420561.061 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546420561.061 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1546420561.063 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1546420561.063 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420561.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420561.064 * [misc]backup-simplify: Simplify (- 0) into 0 1546420561.064 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420561.064 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420561.065 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1546420561.066 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420561.066 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1546420561.067 * [misc]backup-simplify: Simplify (- 0) into 0 1546420561.067 * [misc]backup-simplify: Simplify 0 into 0 1546420561.067 * [misc]backup-simplify: Simplify 0 into 0 1546420561.068 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420561.068 * [misc]backup-simplify: Simplify (+ (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1546420561.068 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1546420561.068 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1546420561.068 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.068 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.068 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1546420561.068 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1546420561.068 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1546420561.068 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1546420561.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.069 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.069 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.069 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.069 * [misc]taylor: Taking taylor expansion of k in n 1546420561.069 * [misc]backup-simplify: Simplify k into k 1546420561.069 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.069 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1546420561.069 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1546420561.069 * [misc]taylor: Taking taylor expansion of 2 in n 1546420561.069 * [misc]backup-simplify: Simplify 2 into 2 1546420561.069 * [misc]taylor: Taking taylor expansion of n in n 1546420561.069 * [misc]backup-simplify: Simplify 0 into 0 1546420561.069 * [misc]backup-simplify: Simplify 1 into 1 1546420561.069 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1546420561.069 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1546420561.069 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.069 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1546420561.069 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1546420561.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1546420561.070 * [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))) 1546420561.070 * [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)))) 1546420561.071 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1546420561.071 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546420561.072 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1546420561.073 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (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 k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546420561.074 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1546420561.074 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1546420561.074 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of k in n 1546420561.074 * [misc]backup-simplify: Simplify k into k 1546420561.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.074 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420561.074 * [misc]taylor: Taking taylor expansion of -2 in n 1546420561.074 * [misc]backup-simplify: Simplify -2 into -2 1546420561.074 * [misc]taylor: Taking taylor expansion of n in n 1546420561.074 * [misc]backup-simplify: Simplify 0 into 0 1546420561.074 * [misc]backup-simplify: Simplify 1 into 1 1546420561.075 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420561.075 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420561.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.075 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420561.075 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420561.076 * [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))) 1546420561.076 * [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)))) 1546420561.076 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1546420561.076 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1546420561.076 * [misc]taylor: Taking taylor expansion of -1 in n 1546420561.076 * [misc]backup-simplify: Simplify -1 into -1 1546420561.076 * [misc]taylor: Taking taylor expansion of k in n 1546420561.076 * [misc]backup-simplify: Simplify k into k 1546420561.076 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1546420561.076 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1546420561.076 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1546420561.076 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1546420561.077 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1546420561.077 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.077 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of k in k 1546420561.077 * [misc]backup-simplify: Simplify 0 into 0 1546420561.077 * [misc]backup-simplify: Simplify 1 into 1 1546420561.077 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420561.077 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.077 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420561.077 * [misc]taylor: Taking taylor expansion of -2 in k 1546420561.077 * [misc]backup-simplify: Simplify -2 into -2 1546420561.078 * [misc]taylor: Taking taylor expansion of n in k 1546420561.078 * [misc]backup-simplify: Simplify n into n 1546420561.078 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420561.078 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420561.078 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420561.078 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420561.078 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420561.078 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420561.078 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420561.078 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420561.078 * [misc]taylor: Taking taylor expansion of -1 in k 1546420561.078 * [misc]backup-simplify: Simplify -1 into -1 1546420561.078 * [misc]taylor: Taking taylor expansion of k in k 1546420561.078 * [misc]backup-simplify: Simplify 0 into 0 1546420561.078 * [misc]backup-simplify: Simplify 1 into 1 1546420561.079 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420561.079 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.079 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420561.080 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546420561.080 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of k in k 1546420561.080 * [misc]backup-simplify: Simplify 0 into 0 1546420561.080 * [misc]backup-simplify: Simplify 1 into 1 1546420561.080 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1546420561.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1546420561.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.080 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1546420561.080 * [misc]taylor: Taking taylor expansion of -2 in k 1546420561.080 * [misc]backup-simplify: Simplify -2 into -2 1546420561.080 * [misc]taylor: Taking taylor expansion of n in k 1546420561.080 * [misc]backup-simplify: Simplify n into n 1546420561.080 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1546420561.080 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1546420561.081 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1546420561.081 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1546420561.081 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1546420561.081 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1546420561.081 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1546420561.081 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1546420561.081 * [misc]taylor: Taking taylor expansion of -1 in k 1546420561.081 * [misc]backup-simplify: Simplify -1 into -1 1546420561.081 * [misc]taylor: Taking taylor expansion of k in k 1546420561.081 * [misc]backup-simplify: Simplify 0 into 0 1546420561.081 * [misc]backup-simplify: Simplify 1 into 1 1546420561.081 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1546420561.082 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1546420561.082 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1546420561.082 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1546420561.082 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420561.082 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.082 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.082 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420561.082 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420561.082 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420561.082 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420561.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.083 * [misc]taylor: Taking taylor expansion of k in n 1546420561.083 * [misc]backup-simplify: Simplify k into k 1546420561.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.083 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420561.083 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420561.083 * [misc]taylor: Taking taylor expansion of -2 in n 1546420561.083 * [misc]backup-simplify: Simplify -2 into -2 1546420561.083 * [misc]taylor: Taking taylor expansion of n in n 1546420561.083 * [misc]backup-simplify: Simplify 0 into 0 1546420561.083 * [misc]backup-simplify: Simplify 1 into 1 1546420561.083 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420561.083 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420561.083 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.083 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420561.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420561.084 * [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))) 1546420561.084 * [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)))) 1546420561.085 * [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))))) 1546420561.085 * [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))))) 1546420561.085 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1546420561.087 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1546420561.087 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546420561.087 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.087 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.087 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of k in n 1546420561.087 * [misc]backup-simplify: Simplify k into k 1546420561.087 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.087 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420561.087 * [misc]taylor: Taking taylor expansion of -2 in n 1546420561.088 * [misc]backup-simplify: Simplify -2 into -2 1546420561.088 * [misc]taylor: Taking taylor expansion of n in n 1546420561.088 * [misc]backup-simplify: Simplify 0 into 0 1546420561.088 * [misc]backup-simplify: Simplify 1 into 1 1546420561.088 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420561.088 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420561.088 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.088 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420561.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420561.088 * [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))) 1546420561.089 * [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)))) 1546420561.089 * [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))))) 1546420561.089 * [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)))))) 1546420561.089 * [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)))))) 1546420561.089 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1546420561.091 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1546420561.091 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1546420561.091 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1546420561.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1546420561.091 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420561.092 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1546420561.092 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1546420561.093 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0 1546420561.093 * [misc]backup-simplify: Simplify 0 into 0 1546420561.093 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1546420561.094 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1546420561.094 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1546420561.094 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1546420561.094 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1546420561.094 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1546420561.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.095 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1546420561.095 * [misc]taylor: Taking taylor expansion of k in n 1546420561.095 * [misc]backup-simplify: Simplify k into k 1546420561.095 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1546420561.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1546420561.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1546420561.095 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1546420561.095 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1546420561.095 * [misc]taylor: Taking taylor expansion of -2 in n 1546420561.095 * [misc]backup-simplify: Simplify -2 into -2 1546420561.095 * [misc]taylor: Taking taylor expansion of n in n 1546420561.095 * [misc]backup-simplify: Simplify 0 into 0 1546420561.095 * [misc]backup-simplify: Simplify 1 into 1 1546420561.095 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1546420561.095 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1546420561.095 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1546420561.095 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1546420561.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1546420561.095 * [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))) 1546420561.096 * [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)))) 1546420561.096 * [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))))) 1546420561.096 * [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)))))) 1546420561.096 * [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)))))) 1546420561.097 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (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 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1546420561.098 * * * [misc]progress: simplifying candidates 1546420561.098 * * * * [misc]progress: [ 1 / 125 ] simplifiying candidate # 1546420561.098 * * * * [misc]progress: [ 2 / 125 ] simplifiying candidate # 1546420561.098 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1546420561.098 * * [misc]simplify: iters left: 3 (5 enodes) 1546420561.099 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1546420561.099 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420561.099 * * * * [misc]progress: [ 3 / 125 ] simplifiying candidate # 1546420561.099 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546420561.099 * * [misc]simplify: iters left: 5 (6 enodes) 1546420561.100 * * [misc]simplify: iters left: 4 (8 enodes) 1546420561.101 * * [misc]simplify: iters left: 3 (11 enodes) 1546420561.102 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546420561.102 * [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)))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420561.103 * * * * [misc]progress: [ 4 / 125 ] simplifiying candidate # 1546420561.103 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546420561.103 * * [misc]simplify: iters left: 5 (6 enodes) 1546420561.104 * * [misc]simplify: iters left: 4 (8 enodes) 1546420561.105 * * [misc]simplify: iters left: 3 (11 enodes) 1546420561.106 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546420561.106 * [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)))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420561.106 * * * * [misc]progress: [ 5 / 125 ] simplifiying candidate # 1546420561.106 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546420561.106 * * [misc]simplify: iters left: 4 (5 enodes) 1546420561.107 * * [misc]simplify: iters left: 3 (7 enodes) 1546420561.108 * * [misc]simplify: iters left: 2 (10 enodes) 1546420561.110 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546420561.110 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420561.110 * * * * [misc]progress: [ 6 / 125 ] simplifiying candidate # 1546420561.110 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546420561.110 * * [misc]simplify: iters left: 5 (6 enodes) 1546420561.111 * * [misc]simplify: iters left: 4 (8 enodes) 1546420561.112 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546420561.112 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420561.112 * * * * [misc]progress: [ 7 / 125 ] simplifiying candidate # 1546420561.112 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1546420561.112 * * [misc]simplify: iters left: 5 (6 enodes) 1546420561.113 * * [misc]simplify: iters left: 4 (8 enodes) 1546420561.114 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1546420561.114 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420561.114 * * * * [misc]progress: [ 8 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 9 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 10 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 11 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 12 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 13 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 14 / 125 ] simplifiying candidate # 1546420561.114 * * * * [misc]progress: [ 15 / 125 ] simplifiying candidate # 1546420561.115 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1546420561.115 * * [misc]simplify: iters left: 6 (9 enodes) 1546420561.116 * * [misc]simplify: iters left: 5 (16 enodes) 1546420561.119 * * [misc]simplify: iters left: 4 (32 enodes) 1546420561.125 * * [misc]simplify: iters left: 3 (68 enodes) 1546420561.145 * * [misc]simplify: iters left: 2 (171 enodes) 1546420561.182 * * [misc]simplify: iters left: 1 (342 enodes) 1546420561.281 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1546420561.282 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1546420561.282 * * * * [misc]progress: [ 16 / 125 ] simplifiying candidate # 1546420561.282 * * * * [misc]progress: [ 17 / 125 ] simplifiying candidate # 1546420561.282 * [enter]simplify: Simplifying (* n 2) 1546420561.282 * * [misc]simplify: iters left: 2 (3 enodes) 1546420561.283 * * [misc]simplify: iters left: 1 (4 enodes) 1546420561.284 * [exit]simplify: Simplified to (* n 2) 1546420561.284 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1546420561.284 * * * * [misc]progress: [ 18 / 125 ] simplifiying candidate # 1546420561.285 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546420561.285 * * [misc]simplify: iters left: 3 (6 enodes) 1546420561.286 * * [misc]simplify: iters left: 2 (7 enodes) 1546420561.291 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546420561.291 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1546420561.291 * * * * [misc]progress: [ 19 / 125 ] simplifiying candidate # 1546420561.292 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1546420561.292 * * [misc]simplify: iters left: 5 (6 enodes) 1546420561.293 * * [misc]simplify: iters left: 4 (8 enodes) 1546420561.296 * * [misc]simplify: iters left: 3 (11 enodes) 1546420561.299 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1546420561.299 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1546420561.299 * * * * [misc]progress: [ 20 / 125 ] simplifiying candidate # 1546420561.299 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1546420561.299 * * [misc]simplify: iters left: 5 (6 enodes) 1546420561.301 * * [misc]simplify: iters left: 4 (8 enodes) 1546420561.303 * * [misc]simplify: iters left: 3 (11 enodes) 1546420561.306 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1546420561.306 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1546420561.307 * * * * [misc]progress: [ 21 / 125 ] simplifiying candidate # 1546420561.307 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1546420561.307 * * [misc]simplify: iters left: 4 (5 enodes) 1546420561.308 * * [misc]simplify: iters left: 3 (7 enodes) 1546420561.310 * * [misc]simplify: iters left: 2 (10 enodes) 1546420561.313 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1546420561.313 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1546420561.313 * * * * [misc]progress: [ 22 / 125 ] simplifiying candidate # 1546420561.314 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420561.314 * * [misc]simplify: iters left: 5 (7 enodes) 1546420561.316 * * [misc]simplify: iters left: 4 (10 enodes) 1546420561.317 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420561.317 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1546420561.317 * * * * [misc]progress: [ 23 / 125 ] simplifiying candidate # 1546420561.317 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420561.317 * * [misc]simplify: iters left: 5 (7 enodes) 1546420561.318 * * [misc]simplify: iters left: 4 (10 enodes) 1546420561.320 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420561.320 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1546420561.320 * * * * [misc]progress: [ 24 / 125 ] simplifiying candidate # 1546420561.320 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1546420561.320 * * [misc]simplify: iters left: 5 (7 enodes) 1546420561.321 * * [misc]simplify: iters left: 4 (9 enodes) 1546420561.322 * * [misc]simplify: iters left: 3 (12 enodes) 1546420561.324 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1546420561.324 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1546420561.324 * * * * [misc]progress: [ 25 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 26 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 27 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 28 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 29 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 30 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 31 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 32 / 125 ] simplifiying candidate # 1546420561.324 * * * * [misc]progress: [ 33 / 125 ] simplifiying candidate # 1546420561.324 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546420561.324 * * [misc]simplify: iters left: 6 (12 enodes) 1546420561.327 * * [misc]simplify: iters left: 5 (21 enodes) 1546420561.331 * * [misc]simplify: iters left: 4 (44 enodes) 1546420561.340 * * [misc]simplify: iters left: 3 (125 enodes) 1546420561.369 * * [misc]simplify: iters left: 2 (343 enodes) 1546420561.483 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1546420561.483 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1546420561.483 * * * * [misc]progress: [ 34 / 125 ] simplifiying candidate # 1546420561.483 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546420561.483 * * [misc]simplify: iters left: 6 (12 enodes) 1546420561.487 * * [misc]simplify: iters left: 5 (21 enodes) 1546420561.491 * * [misc]simplify: iters left: 4 (44 enodes) 1546420561.500 * * [misc]simplify: iters left: 3 (125 enodes) 1546420561.529 * * [misc]simplify: iters left: 2 (343 enodes) 1546420561.636 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1546420561.637 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1546420561.637 * * * * [misc]progress: [ 35 / 125 ] simplifiying candidate # 1546420561.637 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1546420561.637 * * [misc]simplify: iters left: 6 (12 enodes) 1546420561.641 * * [misc]simplify: iters left: 5 (19 enodes) 1546420561.644 * * [misc]simplify: iters left: 4 (32 enodes) 1546420561.655 * * [misc]simplify: iters left: 3 (67 enodes) 1546420561.682 * * [misc]simplify: iters left: 2 (194 enodes) 1546420561.759 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1546420561.759 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1546420561.759 * * * * [misc]progress: [ 36 / 125 ] simplifiying candidate # 1546420561.759 * * * * [misc]progress: [ 37 / 125 ] simplifiying candidate # 1546420561.759 * * * * [misc]progress: [ 38 / 125 ] simplifiying candidate # 1546420561.760 * [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))))) 1546420561.760 * * [misc]simplify: iters left: 6 (14 enodes) 1546420561.762 * * [misc]simplify: iters left: 5 (26 enodes) 1546420561.770 * * [misc]simplify: iters left: 4 (58 enodes) 1546420561.790 * * [misc]simplify: iters left: 3 (117 enodes) 1546420561.812 * * [misc]simplify: iters left: 2 (193 enodes) 1546420561.866 * * [misc]simplify: iters left: 1 (263 enodes) 1546420561.961 * [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))))) 1546420561.961 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (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))))))))) 1546420561.961 * * * * [misc]progress: [ 39 / 125 ] simplifiying candidate # 1546420561.961 * * * * [misc]progress: [ 40 / 125 ] simplifiying candidate # 1546420561.962 * * * * [misc]progress: [ 41 / 125 ] simplifiying candidate # 1546420561.962 * * * * [misc]progress: [ 42 / 125 ] simplifiying candidate # 1546420561.962 * * * * [misc]progress: [ 43 / 125 ] simplifiying candidate # 1546420561.962 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546420561.962 * * [misc]simplify: iters left: 6 (10 enodes) 1546420561.963 * * [misc]simplify: iters left: 5 (14 enodes) 1546420561.965 * * [misc]simplify: iters left: 4 (16 enodes) 1546420561.967 * * [misc]simplify: iters left: 3 (17 enodes) 1546420561.970 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546420561.970 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546420561.970 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420561.970 * * [misc]simplify: iters left: 6 (10 enodes) 1546420561.972 * * [misc]simplify: iters left: 5 (13 enodes) 1546420561.973 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420561.973 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546420561.973 * * * * [misc]progress: [ 44 / 125 ] simplifiying candidate # 1546420561.974 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1546420561.974 * * [misc]simplify: iters left: 6 (10 enodes) 1546420561.975 * * [misc]simplify: iters left: 5 (14 enodes) 1546420561.978 * * [misc]simplify: iters left: 4 (16 enodes) 1546420561.982 * * [misc]simplify: iters left: 3 (17 enodes) 1546420561.988 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1546420561.988 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546420561.989 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420561.989 * * [misc]simplify: iters left: 6 (10 enodes) 1546420561.992 * * [misc]simplify: iters left: 5 (13 enodes) 1546420561.995 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420561.995 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546420561.996 * * * * [misc]progress: [ 45 / 125 ] simplifiying candidate # 1546420561.996 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546420561.996 * * [misc]simplify: iters left: 6 (11 enodes) 1546420561.999 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.004 * * [misc]simplify: iters left: 4 (20 enodes) 1546420562.010 * * [misc]simplify: iters left: 3 (21 enodes) 1546420562.015 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1546420562.016 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546420562.016 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.016 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.019 * * [misc]simplify: iters left: 5 (11 enodes) 1546420562.020 * * [misc]simplify: iters left: 4 (14 enodes) 1546420562.022 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.022 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546420562.023 * * * * [misc]progress: [ 46 / 125 ] simplifiying candidate # 1546420562.023 * [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)))))) 1546420562.023 * * [misc]simplify: iters left: 6 (14 enodes) 1546420562.025 * * [misc]simplify: iters left: 5 (23 enodes) 1546420562.028 * * [misc]simplify: iters left: 4 (35 enodes) 1546420562.033 * * [misc]simplify: iters left: 3 (38 enodes) 1546420562.038 * * [misc]simplify: iters left: 2 (41 enodes) 1546420562.044 * [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)))))) 1546420562.044 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (* (/ (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))))))))) 1546420562.044 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.044 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.046 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.048 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.050 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.050 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (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))))))))) 1546420562.050 * * * * [misc]progress: [ 47 / 125 ] simplifiying candidate # 1546420562.050 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.051 * * [misc]simplify: iters left: 6 (13 enodes) 1546420562.052 * * [misc]simplify: iters left: 5 (18 enodes) 1546420562.055 * * [misc]simplify: iters left: 4 (23 enodes) 1546420562.061 * * [misc]simplify: iters left: 3 (24 enodes) 1546420562.068 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.068 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (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))))))))) 1546420562.068 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.068 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.072 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.076 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.081 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.081 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (* (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))))))))) 1546420562.081 * * * * [misc]progress: [ 48 / 125 ] simplifiying candidate # 1546420562.081 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1546420562.081 * * [misc]simplify: iters left: 6 (6 enodes) 1546420562.083 * * [misc]simplify: iters left: 5 (10 enodes) 1546420562.087 * * [misc]simplify: iters left: 4 (16 enodes) 1546420562.091 * * [misc]simplify: iters left: 3 (18 enodes) 1546420562.094 * * [misc]simplify: iters left: 2 (23 enodes) 1546420562.100 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420562.100 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.100 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.100 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.105 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.109 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.114 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.114 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.114 * * * * [misc]progress: [ 49 / 125 ] simplifiying candidate # 1546420562.114 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546420562.114 * * [misc]simplify: iters left: 5 (9 enodes) 1546420562.117 * * [misc]simplify: iters left: 4 (11 enodes) 1546420562.120 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546420562.120 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546420562.120 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420562.120 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.123 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.127 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420562.127 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546420562.127 * * * * [misc]progress: [ 50 / 125 ] simplifiying candidate # 1546420562.127 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1546420562.128 * * [misc]simplify: iters left: 5 (9 enodes) 1546420562.130 * * [misc]simplify: iters left: 4 (11 enodes) 1546420562.133 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1546420562.133 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1546420562.134 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420562.134 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.137 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.140 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420562.140 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1546420562.140 * * * * [misc]progress: [ 51 / 125 ] simplifiying candidate # 1546420562.141 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546420562.141 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.144 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.147 * * [misc]simplify: iters left: 4 (15 enodes) 1546420562.150 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1546420562.150 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546420562.150 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.150 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.151 * * [misc]simplify: iters left: 5 (11 enodes) 1546420562.153 * * [misc]simplify: iters left: 4 (14 enodes) 1546420562.154 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.155 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1546420562.155 * * * * [misc]progress: [ 52 / 125 ] simplifiying candidate # 1546420562.155 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420562.155 * * [misc]simplify: iters left: 6 (13 enodes) 1546420562.157 * * [misc]simplify: iters left: 5 (18 enodes) 1546420562.159 * * [misc]simplify: iters left: 4 (21 enodes) 1546420562.162 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420562.162 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (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))))))))) 1546420562.162 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.163 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.164 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.166 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.169 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.169 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (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))))))))) 1546420562.169 * * * * [misc]progress: [ 53 / 125 ] simplifiying candidate # 1546420562.169 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.169 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.171 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.175 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.180 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.181 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546420562.181 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.182 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.185 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.190 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.195 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.195 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546420562.195 * * * * [misc]progress: [ 54 / 125 ] simplifiying candidate # 1546420562.195 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1546420562.195 * * [misc]simplify: iters left: 4 (5 enodes) 1546420562.197 * * [misc]simplify: iters left: 3 (7 enodes) 1546420562.200 * * [misc]simplify: iters left: 2 (9 enodes) 1546420562.202 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420562.202 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.203 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.203 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.206 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.210 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.215 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.215 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.215 * * * * [misc]progress: [ 55 / 125 ] simplifiying candidate # 1546420562.215 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546420562.215 * * [misc]simplify: iters left: 5 (7 enodes) 1546420562.217 * * [misc]simplify: iters left: 4 (11 enodes) 1546420562.220 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546420562.220 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1546420562.220 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420562.220 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.223 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.226 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420562.226 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1546420562.226 * * * * [misc]progress: [ 56 / 125 ] simplifiying candidate # 1546420562.227 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1546420562.227 * * [misc]simplify: iters left: 5 (7 enodes) 1546420562.229 * * [misc]simplify: iters left: 4 (11 enodes) 1546420562.231 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1546420562.231 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1546420562.232 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420562.232 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.234 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.239 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420562.239 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1546420562.239 * * * * [misc]progress: [ 57 / 125 ] simplifiying candidate # 1546420562.240 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1546420562.240 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.242 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.246 * * [misc]simplify: iters left: 4 (16 enodes) 1546420562.250 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1546420562.250 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1546420562.250 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420562.251 * * [misc]simplify: iters left: 6 (8 enodes) 1546420562.253 * * [misc]simplify: iters left: 5 (10 enodes) 1546420562.256 * * [misc]simplify: iters left: 4 (13 enodes) 1546420562.260 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420562.260 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1546420562.260 * * * * [misc]progress: [ 58 / 125 ] simplifiying candidate # 1546420562.260 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1546420562.260 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.264 * * [misc]simplify: iters left: 5 (19 enodes) 1546420562.269 * * [misc]simplify: iters left: 4 (22 enodes) 1546420562.275 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420562.275 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (/ 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))))))))) 1546420562.275 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.275 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.279 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.283 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.287 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.287 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 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))))))))) 1546420562.287 * * * * [misc]progress: [ 59 / 125 ] simplifiying candidate # 1546420562.288 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.288 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.291 * * [misc]simplify: iters left: 5 (16 enodes) 1546420562.295 * * [misc]simplify: iters left: 4 (19 enodes) 1546420562.300 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1546420562.300 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546420562.300 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.301 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.304 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.308 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.313 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.313 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1546420562.313 * * * * [misc]progress: [ 60 / 125 ] simplifiying candidate # 1546420562.313 * [enter]simplify: Simplifying (/ 1 1) 1546420562.313 * * [misc]simplify: iters left: 2 (2 enodes) 1546420562.314 * * [misc]simplify: iters left: 1 (4 enodes) 1546420562.315 * [exit]simplify: Simplified to 1 1546420562.315 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.315 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.315 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.318 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.322 * * [misc]simplify: iters left: 4 (16 enodes) 1546420562.326 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.327 * [misc]simplify: Simplified (2 2 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)))))))) 1546420562.327 * * * * [misc]progress: [ 61 / 125 ] simplifiying candidate # 1546420562.327 * * * * [misc]progress: [ 62 / 125 ] simplifiying candidate # 1546420562.327 * * * * [misc]progress: [ 63 / 125 ] simplifiying candidate # 1546420562.327 * * * * [misc]progress: [ 64 / 125 ] simplifiying candidate # 1546420562.327 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420562.327 * * [misc]simplify: iters left: 5 (7 enodes) 1546420562.329 * * [misc]simplify: iters left: 4 (10 enodes) 1546420562.332 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420562.332 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1546420562.332 * * * * [misc]progress: [ 65 / 125 ] simplifiying candidate # 1546420562.332 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1546420562.332 * * [misc]simplify: iters left: 5 (7 enodes) 1546420562.333 * * [misc]simplify: iters left: 4 (10 enodes) 1546420562.335 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1546420562.335 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1546420562.335 * * * * [misc]progress: [ 66 / 125 ] simplifiying candidate # 1546420562.335 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1546420562.335 * * [misc]simplify: iters left: 5 (6 enodes) 1546420562.336 * * [misc]simplify: iters left: 4 (8 enodes) 1546420562.337 * * [misc]simplify: iters left: 3 (11 enodes) 1546420562.338 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1546420562.338 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1546420562.338 * * * * [misc]progress: [ 67 / 125 ] simplifiying candidate # 1546420562.339 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.339 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.340 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.342 * * [misc]simplify: iters left: 4 (15 enodes) 1546420562.344 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.344 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (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)))))))) 1546420562.344 * * * * [misc]progress: [ 68 / 125 ] simplifiying candidate # 1546420562.344 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.344 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.346 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.347 * * [misc]simplify: iters left: 4 (15 enodes) 1546420562.349 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.350 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.350 * * * * [misc]progress: [ 69 / 125 ] simplifiying candidate # 1546420562.350 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546420562.350 * * [misc]simplify: iters left: 5 (8 enodes) 1546420562.351 * * [misc]simplify: iters left: 4 (11 enodes) 1546420562.353 * * [misc]simplify: iters left: 3 (14 enodes) 1546420562.355 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546420562.355 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.355 * * * * [misc]progress: [ 70 / 125 ] simplifiying candidate # 1546420562.355 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420562.355 * * [misc]simplify: iters left: 4 (4 enodes) 1546420562.356 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1546420562.356 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1546420562.356 * * * * [misc]progress: [ 71 / 125 ] simplifiying candidate # 1546420562.356 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1546420562.356 * * [misc]simplify: iters left: 2 (3 enodes) 1546420562.356 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1546420562.356 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1546420562.356 * * * * [misc]progress: [ 72 / 125 ] simplifiying candidate # 1546420562.356 * * * * [misc]progress: [ 73 / 125 ] simplifiying candidate # 1546420562.357 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546420562.357 * * [misc]simplify: iters left: 3 (6 enodes) 1546420562.357 * * [misc]simplify: iters left: 2 (7 enodes) 1546420562.359 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546420562.359 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1546420562.359 * * * * [misc]progress: [ 74 / 125 ] simplifiying candidate # 1546420562.359 * * * * [misc]progress: [ 75 / 125 ] simplifiying candidate # 1546420562.359 * [enter]simplify: Simplifying (- 1) 1546420562.359 * * [misc]simplify: iters left: 2 (2 enodes) 1546420562.360 * * [misc]simplify: iters left: 1 (5 enodes) 1546420562.360 * [exit]simplify: Simplified to -1 1546420562.360 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) -1))) 1546420562.360 * * * * [misc]progress: [ 76 / 125 ] simplifiying candidate # 1546420562.360 * * * * [misc]progress: [ 77 / 125 ] simplifiying candidate # 1546420562.360 * * * * [misc]progress: [ 78 / 125 ] simplifiying candidate # 1546420562.360 * * * * [misc]progress: [ 79 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 80 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 81 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 82 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 83 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 84 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 85 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 86 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 87 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 88 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 89 / 125 ] simplifiying candidate # 1546420562.361 * * * * [misc]progress: [ 90 / 125 ] simplifiying candidate # 1546420562.361 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.361 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.363 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.367 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.372 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.372 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (* (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)))))))) 1546420562.372 * * * * [misc]progress: [ 91 / 125 ] simplifiying candidate # 1546420562.372 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.372 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.375 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.380 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.384 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.384 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.384 * * * * [misc]progress: [ 92 / 125 ] simplifiying candidate # 1546420562.385 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420562.385 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.388 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.392 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420562.392 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546420562.392 * * * * [misc]progress: [ 93 / 125 ] simplifiying candidate # 1546420562.392 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420562.392 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.395 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.399 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420562.399 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546420562.399 * * * * [misc]progress: [ 94 / 125 ] simplifiying candidate # 1546420562.400 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.400 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.402 * * [misc]simplify: iters left: 5 (11 enodes) 1546420562.406 * * [misc]simplify: iters left: 4 (14 enodes) 1546420562.410 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.410 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546420562.410 * * * * [misc]progress: [ 95 / 125 ] simplifiying candidate # 1546420562.410 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.410 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.414 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.418 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.423 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.423 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (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)))))))) 1546420562.424 * * * * [misc]progress: [ 96 / 125 ] simplifiying candidate # 1546420562.424 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.424 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.428 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.432 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.438 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.438 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (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)))))))) 1546420562.438 * * * * [misc]progress: [ 97 / 125 ] simplifiying candidate # 1546420562.438 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.438 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.442 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.446 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.451 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.451 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.451 * * * * [misc]progress: [ 98 / 125 ] simplifiying candidate # 1546420562.451 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420562.451 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.454 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.458 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420562.458 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546420562.458 * * * * [misc]progress: [ 99 / 125 ] simplifiying candidate # 1546420562.458 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1546420562.458 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.461 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.465 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1546420562.465 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1546420562.465 * * * * [misc]progress: [ 100 / 125 ] simplifiying candidate # 1546420562.465 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.466 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.468 * * [misc]simplify: iters left: 5 (11 enodes) 1546420562.471 * * [misc]simplify: iters left: 4 (14 enodes) 1546420562.475 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1546420562.475 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1546420562.475 * * * * [misc]progress: [ 101 / 125 ] simplifiying candidate # 1546420562.476 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.476 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.479 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.484 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.489 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.489 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (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)))))))) 1546420562.489 * * * * [misc]progress: [ 102 / 125 ] simplifiying candidate # 1546420562.489 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.489 * * [misc]simplify: iters left: 6 (12 enodes) 1546420562.493 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.497 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.503 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.503 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.503 * * * * [misc]progress: [ 103 / 125 ] simplifiying candidate # 1546420562.503 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.503 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.506 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.510 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.515 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.515 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.515 * * * * [misc]progress: [ 104 / 125 ] simplifiying candidate # 1546420562.516 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420562.516 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.519 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.523 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420562.523 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1546420562.523 * * * * [misc]progress: [ 105 / 125 ] simplifiying candidate # 1546420562.523 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1546420562.523 * * [misc]simplify: iters left: 6 (9 enodes) 1546420562.526 * * [misc]simplify: iters left: 5 (12 enodes) 1546420562.529 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1546420562.530 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1546420562.530 * * * * [misc]progress: [ 106 / 125 ] simplifiying candidate # 1546420562.530 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420562.530 * * [misc]simplify: iters left: 6 (8 enodes) 1546420562.532 * * [misc]simplify: iters left: 5 (10 enodes) 1546420562.535 * * [misc]simplify: iters left: 4 (13 enodes) 1546420562.539 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1546420562.539 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1546420562.539 * * * * [misc]progress: [ 107 / 125 ] simplifiying candidate # 1546420562.539 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.539 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.543 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.547 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.551 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.552 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 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)))))))) 1546420562.552 * * * * [misc]progress: [ 108 / 125 ] simplifiying candidate # 1546420562.552 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.552 * * [misc]simplify: iters left: 6 (11 enodes) 1546420562.555 * * [misc]simplify: iters left: 5 (14 enodes) 1546420562.557 * * [misc]simplify: iters left: 4 (17 enodes) 1546420562.560 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1546420562.560 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1546420562.560 * * * * [misc]progress: [ 109 / 125 ] simplifiying candidate # 1546420562.560 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.560 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.562 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.564 * * [misc]simplify: iters left: 4 (16 enodes) 1546420562.566 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.566 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.566 * * * * [misc]progress: [ 110 / 125 ] simplifiying candidate # 1546420562.566 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.566 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.568 * * [misc]simplify: iters left: 5 (13 enodes) 1546420562.570 * * [misc]simplify: iters left: 4 (16 enodes) 1546420562.572 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.572 * [misc]simplify: Simplified (2 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))))))) 1546420562.572 * * * * [misc]progress: [ 111 / 125 ] simplifiying candidate # 1546420562.572 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1546420562.572 * * [misc]simplify: iters left: 6 (10 enodes) 1546420562.574 * * [misc]simplify: iters left: 5 (15 enodes) 1546420562.576 * * [misc]simplify: iters left: 4 (18 enodes) 1546420562.578 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1546420562.578 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ 1 (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))))) 1546420562.578 * * * * [misc]progress: [ 112 / 125 ] simplifiying candidate # 1546420562.578 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1546420562.579 * * [misc]simplify: iters left: 3 (6 enodes) 1546420562.579 * * [misc]simplify: iters left: 2 (7 enodes) 1546420562.580 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1546420562.580 * [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))) (pow (* n 2) (/ k 2))))) 1546420562.581 * * * * [misc]progress: [ 113 / 125 ] simplifiying candidate # 1546420562.581 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1546420562.581 * * [misc]simplify: iters left: 5 (8 enodes) 1546420562.582 * * [misc]simplify: iters left: 4 (11 enodes) 1546420562.584 * * [misc]simplify: iters left: 3 (14 enodes) 1546420562.587 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1546420562.587 * [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)))))) 1546420562.588 * * * * [misc]progress: [ 114 / 125 ] simplifiying candidate # 1546420562.588 * [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)))) 1546420562.588 * * [misc]simplify: iters left: 6 (18 enodes) 1546420562.594 * * [misc]simplify: iters left: 5 (39 enodes) 1546420562.608 * * [misc]simplify: iters left: 4 (104 enodes) 1546420562.654 * * [misc]simplify: iters left: 3 (275 enodes) 1546420562.814 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1546420562.814 * [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))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.814 * * * * [misc]progress: [ 115 / 125 ] simplifiying candidate # 1546420562.814 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546420562.814 * * [misc]simplify: iters left: 5 (6 enodes) 1546420562.815 * * [misc]simplify: iters left: 4 (9 enodes) 1546420562.817 * * [misc]simplify: iters left: 3 (17 enodes) 1546420562.819 * * [misc]simplify: iters left: 2 (20 enodes) 1546420562.821 * * [misc]simplify: iters left: 1 (24 enodes) 1546420562.826 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1546420562.826 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.826 * * * * [misc]progress: [ 116 / 125 ] simplifiying candidate # 1546420562.826 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1546420562.826 * * [misc]simplify: iters left: 5 (6 enodes) 1546420562.827 * * [misc]simplify: iters left: 4 (9 enodes) 1546420562.829 * * [misc]simplify: iters left: 3 (17 enodes) 1546420562.831 * * [misc]simplify: iters left: 2 (20 enodes) 1546420562.834 * * [misc]simplify: iters left: 1 (24 enodes) 1546420562.839 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1546420562.839 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1546420562.839 * * * * [misc]progress: [ 117 / 125 ] simplifiying candidate # 1546420562.839 * [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))))) 1546420562.839 * * [misc]simplify: iters left: 6 (35 enodes) 1546420562.846 * * [misc]simplify: iters left: 5 (99 enodes) 1546420562.873 * * [misc]simplify: iters left: 4 (298 enodes) 1546420562.999 * [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))))))) 1546420562.999 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (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))))))))))) 1546420562.999 * * * * [misc]progress: [ 118 / 125 ] simplifiying candidate # 1546420563.000 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1546420563.000 * * [misc]simplify: iters left: 6 (13 enodes) 1546420563.005 * * [misc]simplify: iters left: 5 (27 enodes) 1546420563.013 * * [misc]simplify: iters left: 4 (53 enodes) 1546420563.031 * * [misc]simplify: iters left: 3 (116 enodes) 1546420563.073 * * [misc]simplify: iters left: 2 (362 enodes) 1546420563.340 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1546420563.340 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k)))))) 1546420563.340 * * * * [misc]progress: [ 119 / 125 ] simplifiying candidate # 1546420563.340 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1546420563.341 * * [misc]simplify: iters left: 6 (13 enodes) 1546420563.346 * * [misc]simplify: iters left: 5 (24 enodes) 1546420563.355 * * [misc]simplify: iters left: 4 (54 enodes) 1546420563.372 * * [misc]simplify: iters left: 3 (143 enodes) 1546420563.437 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1546420563.437 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))))))) 1546420563.437 * * * * [misc]progress: [ 120 / 125 ] simplifiying candidate # 1546420563.438 * [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)))))))))))) 1546420563.438 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 +nan.0))) 1546420563.438 * * * * [misc]progress: [ 121 / 125 ] simplifiying candidate # 1546420563.438 * [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))))))))))) 1546420563.438 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 +nan.0))) 1546420563.438 * * * * [misc]progress: [ 122 / 125 ] simplifiying candidate # 1546420563.439 * [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))))))))) 1546420563.439 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 +nan.0))) 1546420563.439 * * * * [misc]progress: [ 123 / 125 ] simplifiying candidate # 1546420563.439 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n k))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* (log n) k)))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n k)))) (- (* +nan.0 (* (sqrt 2) (pow n 2)))))))))))) 1546420563.439 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546420563.439 * * * * [misc]progress: [ 124 / 125 ] simplifiying candidate # 1546420563.440 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1546420563.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546420563.440 * * * * [misc]progress: [ 125 / 125 ] simplifiying candidate # 1546420563.440 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1546420563.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1546420563.440 * * * [misc]progress: adding candidates to table 1546420565.159 * [misc]progress: [Phase 3 of 3] Extracting. 1546420565.159 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1546420565.161 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1546420565.161 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1546420565.246 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1546420565.328 * * * [misc]regime: Found split indices: #